CN117422835A - Crane safety operation range evaluation method and system based on spherical polar coordinate system - Google Patents
Crane safety operation range evaluation method and system based on spherical polar coordinate system Download PDFInfo
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Abstract
本申请公开了一种基于球极坐标系的吊车安全作业范围评估方法及系统,所述方法包括:获取吊车的位姿数据和运动参数;基于球极坐标系对所述吊车的位姿数据进行转换,得到所述吊车的三维球极坐标数据;根据所述吊车的三维球极坐标数据和运动参数进行障碍物碰撞风险检测,评估所述吊车的安全作业范围;根据所述吊车的安全作业范围,确定所述吊车的工作速度范围。本发明采用基于球极坐标系的吊车安全作业范围评估方法,通过对复杂环境下施工设备或其他物体进行输送路径和安装时间的评估,准确直观地对吊车本身及所吊装货物与实际安装环境中物体进行碰撞分析,提高了输电线路施工的安全性。
This application discloses a method and system for evaluating the safe operating range of a crane based on a spherical polar coordinate system. The method includes: obtaining the pose data and motion parameters of the crane; and performing an evaluation on the pose data of the crane based on the spherical polar coordinate system. Convert to obtain the three-dimensional spherical polar coordinate data of the crane; perform obstacle collision risk detection based on the three-dimensional spherical polar coordinate data and motion parameters of the crane, and evaluate the safe operating range of the crane; based on the safe operating range of the crane , determine the working speed range of the crane. This invention adopts a crane safe operating range assessment method based on the spherical polar coordinate system. By evaluating the transportation path and installation time of construction equipment or other objects in a complex environment, the invention can accurately and intuitively evaluate the crane itself and the hoisted goods compared with the actual installation environment. Objects undergo collision analysis to improve the safety of transmission line construction.
Description
技术领域Technical field
本发明涉及输电线路施工技术领域,具体涉及一种基于球极坐标系的吊车安全作业范围评估方法及系统。The invention relates to the technical field of transmission line construction, and specifically relates to a method and system for evaluating the safe operating range of a crane based on a spherical polar coordinate system.
背景技术Background technique
输电线路是输电网的重要组成部分,大多数输电线路都位于户外山林甚至一些恶劣环境中,在外部自然环境的作用下,输电线路导线、地线、金具以及绝缘子等都会出现不同程度的损坏,需要定期进行巡视及维护,必要时需要对受损元件进行更换。对输电线路进行施工前,首先要对施工区进行前期勘测和设计,得到施工环境的位置坐标数据,根据需要绘制输电线路平断面图,通常需要进行图形比例的确定、图形大小的分割、关键测量点的绘制、跨越房屋点的绘制、跨越电力线路及通讯路点的绘制、跨越河流以及湖泊点的绘制、跨越公路的绘制、线路弧垂的绘制等流程;最后根据平断面图中的位置信息及空间关系来确定施工输电线路施工中具体的细节流程。Transmission lines are an important part of the transmission network. Most transmission lines are located outdoors in mountains and forests or even in some harsh environments. Under the influence of the external natural environment, transmission line conductors, ground wires, hardware and insulators will be damaged to varying degrees. Regular inspections and maintenance are required, and damaged components need to be replaced when necessary. Before constructing a transmission line, you must first conduct preliminary survey and design of the construction area to obtain the location coordinate data of the construction environment, and draw a cross-sectional view of the transmission line as needed. This usually requires determining the proportion of the graphics, segmenting the size of the graphics, and key measurements. The process of drawing points, drawing points across houses, drawing points across power lines and communication points, drawing points across rivers and lakes, drawing across highways, and drawing line sag; finally, based on the location information in the plan view and spatial relationships to determine the specific detailed processes in the construction of transmission lines.
输电线路施工中,通常采用吊车来进行基础设施和电力设备的吊装,伸缩撑杆为圆弧状,工作时它对吊臂的支持力始终与吊臂垂直,使吊臂缓慢转动,从而将货物提起。现有技术中,输电线平断面图的呈现面均为二维图像,无法直观的转换成三维空间的约束条件,难以清晰地观测和预知施工过程中存在的安全隐患。由于施工环境复杂多样,预制元件的现场安装过程往往存在着不可避免的与周边物体存在碰撞风险。In the construction of transmission lines, cranes are usually used to hoist infrastructure and power equipment. The telescopic struts are arc-shaped. During work, their supporting force is always perpendicular to the boom, causing the boom to rotate slowly, thereby lifting the goods. Lift. In the existing technology, the presentation surface of the transmission line plan section is a two-dimensional image, which cannot be intuitively converted into three-dimensional space constraints, making it difficult to clearly observe and predict potential safety hazards during the construction process. Due to the complex and diverse construction environment, the on-site installation process of prefabricated elements often involves the inevitable risk of collision with surrounding objects.
因此,需要提供一种基于球极坐标系的吊车安全作业范围评估方法及系统,解决现有技术中无法直观地对吊车本身及所吊装货物与实际安装环境中物体进行碰撞分析,不能对施工现场的相对位置进行分析和施工速度及路径的最优规划,导致施工过程存在安全隐患的技术问题。Therefore, there is a need to provide a method and system for evaluating the safe operating range of a crane based on the spherical polar coordinate system, which solves the problem that the existing technology cannot intuitively conduct collision analysis on the crane itself, the hoisted goods, and objects in the actual installation environment, and cannot conduct collision analysis on the construction site. Analyze the relative position and optimally plan the construction speed and path, which leads to technical problems with potential safety hazards in the construction process.
发明内容Contents of the invention
本发明提供一种基于球极坐标系的吊车安全作业范围评估方法及系统,用以克服现有技术中输电线平断面图的呈现面均为二维图像,无法直观的转换成三维空间的约束条件,导致施工过程中无法直观地对吊车本身及所吊装货物与实际安装环境中物体进行碰撞分析,不能对施工现场的相对位置进行分析、施工过程存在安全隐患的技术问题。The present invention provides a method and system for evaluating the safe operating range of a crane based on a spherical polar coordinate system, which is used to overcome the constraints in the prior art that the presentation surface of the transmission line plan section is a two-dimensional image and cannot be intuitively converted into a three-dimensional space. Conditions make it impossible to intuitively conduct collision analysis between the crane itself and the goods being hoisted and objects in the actual installation environment during the construction process. The relative position of the construction site cannot be analyzed, and there are technical problems with potential safety hazards during the construction process.
为了解决上述问题,本发明提供一种基于球极坐标系的吊车安全作业范围评估方法,包括:In order to solve the above problems, the present invention provides a crane safe operating range assessment method based on the spherical polar coordinate system, including:
获取吊车的位姿数据和运动参数;Obtain the crane's posture data and motion parameters;
基于球极坐标系对所述吊车的位姿数据进行转换,得到所述吊车的三维球极坐标数据;Convert the pose data of the crane based on the spherical polar coordinate system to obtain the three-dimensional spherical polar coordinate data of the crane;
根据所述吊车的三维球极坐标数据和运动参数进行障碍物碰撞风险检测,评估所述吊车的安全作业范围;Conduct obstacle collision risk detection based on the three-dimensional spherical polar coordinate data and motion parameters of the crane to evaluate the safe operating range of the crane;
根据所述吊车的安全作业范围,确定所述吊车的工作速度范围。The working speed range of the crane is determined based on the safe operating range of the crane.
进一步的,所述吊车的位姿数据包括所述吊车的各构成部件在三维直角坐标系中的坐标位置、所述吊车的起重臂角度和伸展长度;其中,所述吊车的构成部件包括吊车本体和吊车的起重臂。Further, the pose data of the crane includes the coordinate position of each component of the crane in the three-dimensional rectangular coordinate system, the angle and extension length of the crane's boom; wherein the components of the crane include the crane The main body and the boom of the crane.
进一步的,所述基于球极坐标系对所述吊车的位姿数据进行转换,得到所述吊车的三维球极坐标数据,包括:Further, the pose data of the crane is converted based on the spherical polar coordinate system to obtain the three-dimensional spherical polar coordinate data of the crane, including:
对于以所述吊车本体作为原点的三维直角坐标系,将所述吊车的起重臂上任一点P(x,y,z)转换为三维球极坐标系下的三维球极坐标数据的具体公式为:For the three-dimensional rectangular coordinate system with the crane body as the origin, any point P (x, y, z) on the crane's boom is converted into three-dimensional spherical coordinate data in the three-dimensional spherical coordinate system. The specific formula is:
其中,r表示点P与原点的径向距离,θ表示点P与z轴之间的夹角,表示点P与x轴之间的夹角。Among them, r represents the radial distance between point P and the origin, θ represents the angle between point P and the z-axis, Represents the angle between point P and the x-axis.
进一步的,所述运动参数包括吊车的尺寸、操作限制和运动自由度。Further, the movement parameters include the size, operating limitations and freedom of movement of the crane.
进一步的,根据所述吊车的三维球极坐标数据和运动参数进行障碍物碰撞风险检测,评估所述吊车的安全作业范围,包括:Further, obstacle collision risk detection is performed based on the three-dimensional spherical polar coordinate data and motion parameters of the crane, and the safe operating range of the crane is evaluated, including:
根据所述吊车的三维球极坐标数据和运动参数,确定所述吊车当前位姿的最大活动半径和安全角度范围;According to the three-dimensional spherical polar coordinate data and motion parameters of the crane, determine the maximum activity radius and safe angle range of the current posture of the crane;
当所述吊车周围的障碍物与所述吊车本体的水平直线距离超出所述吊车的最大活动半径时,所述安全作业范围为第一安全作业范围;When the horizontal straight-line distance between the obstacles around the crane and the crane body exceeds the maximum radius of movement of the crane, the safe operating range is the first safe operating range;
当所述吊车周围的障碍物与所述吊车本体的水平直线距离在所述吊车的最大活动范围之内时,所述安全作业范围为第二安全作业范围,所述第二安全作业范围根据所述障碍物的尺寸和位姿,以及所述吊车的安全角度范围确定。When the horizontal linear distance between the obstacles around the crane and the crane body is within the maximum movement range of the crane, the safe operating range is the second safe operating range, and the second safe operating range is based on the The size and position of the obstacle and the safe angle range of the crane are determined.
进一步的,根据所述吊车的安全作业范围,确定所述吊车的工作速度范围,包括:Further, according to the safe operating range of the crane, the working speed range of the crane is determined, including:
当所述吊车的安全作业范围为第一安全范围时,所述吊车的工作速度为正常变幅速度、正常水平旋转速度和正常垂直旋转速度;When the safe operating range of the crane is the first safety range, the working speed of the crane is the normal luffing speed, normal horizontal rotation speed and normal vertical rotation speed;
当所述吊车的安全作业范围为第二安全范围时,判断所述障碍物与所述吊车本体的水平直线距离是否达到预设的预警距离,当达到所述预设的预警距离时,将所述吊车的工作速度调整为预设变幅速度、预设水平旋转速度和预设垂直旋转速度。When the safe operating range of the crane is the second safe range, it is judged whether the horizontal straight line distance between the obstacle and the crane body reaches the preset warning distance. When the preset warning distance is reached, all the obstacles are removed. The working speed of the above-mentioned crane is adjusted to the preset luffing speed, the preset horizontal rotation speed and the preset vertical rotation speed.
进一步的,所述预设的预警距离为多级预警距离,每一级所述预警距离对应设置有相应的变幅速度、水平旋转速度和垂直旋转速度。Further, the preset early warning distance is a multi-level early warning distance, and each level of the early warning distance is provided with a corresponding luffing speed, horizontal rotation speed and vertical rotation speed.
本发明还提供一种基于球极坐标系的吊车安全作业范围评估系统,包括:The invention also provides a crane safe operating range assessment system based on the spherical polar coordinate system, including:
数据获取模块,用于获取吊车的位姿数据和运动参数;Data acquisition module, used to obtain the pose data and motion parameters of the crane;
坐标转换模块,用于基于球极坐标系对所述吊车的位姿数据进行转换,得到所述吊车的三维球极坐标数据;A coordinate conversion module, used to convert the pose data of the crane based on the spherical polar coordinate system to obtain the three-dimensional spherical polar coordinate data of the crane;
评估模块,用于根据所述吊车的三维球极坐标数据和运动参数进行障碍物碰撞风险检测,评估所述吊车的安全作业范围;An evaluation module, used to detect obstacle collision risks based on the three-dimensional spherical polar coordinate data and motion parameters of the crane, and evaluate the safe operating range of the crane;
计算模块,用于根据所述吊车的安全作业范围,确定所述吊车的工作速度范围。A calculation module is used to determine the working speed range of the crane according to the safe operating range of the crane.
本发明还提供一种电子设备,包括处理器以及存储器,所述存储器上存储有计算机程序,所述计算机程序被所述处理器执行时,实现如上述技术方案任一所述的基于球极坐标系的吊车安全作业范围评估方法。The present invention also provides an electronic device, including a processor and a memory. A computer program is stored on the memory. When the computer program is executed by the processor, the spherical polar coordinate-based method as described in any of the above technical solutions is implemented. System's crane safety operating range assessment method.
本发明还提供一种计算机可读存储介质,所述计算机可读存储介质内存储有计算机程序,所述计算机程序被处理器执行时,实现如上述技术方案任一所述的一种基于球极坐标系的吊车安全作业范围评估方法。The present invention also provides a computer-readable storage medium. A computer program is stored in the computer-readable storage medium. When the computer program is executed by a processor, a spherical electrode-based method as described in any of the above technical solutions is implemented. Coordinate system-based crane safety operating range assessment method.
与现有技术相比,本发明的有益效果包括:首先,获取吊车的位姿数据和运动参数,并通过坐标转换算法,将吊车的笛卡尔坐标转换为球极坐标,以便进行安全范围的评估和计算;其次,通过碰撞检测算法,分析吊车位置和周围环境数据,并确定是否存在碰撞的可能性;最后,评估吊车的安全作业范围还需要计算吊车与周围物体之间的安全间隙,实时显示吊车位置和安全作业范围,提供最合理的工作速度,对施工过程进行监控和警示,有效免除施工现场因碰撞问题而造成的大量时间损耗,同时也能够确保施工人员的人身安全。本发明采用基于球极坐标系的吊车安全作业范围评估方法,通过对复杂环境下施工设备或其他物体进行碰撞风险、输送路径以及安装时间的评估,准确直观地对吊车本身及所吊装货物与实际安装环境中物体进行碰撞分析,对施工现场的相对位置进行分析和施工速度及路径的最优规划,并提供警示和警报系统,提高了输电线路施工的安全性,具有很强的实用性。Compared with the existing technology, the beneficial effects of the present invention include: first, obtaining the pose data and motion parameters of the crane, and converting the Cartesian coordinates of the crane into spherical polar coordinates through a coordinate conversion algorithm, so as to evaluate the safety range. and calculation; secondly, through the collision detection algorithm, analyze the crane position and surrounding environment data, and determine whether there is a possibility of collision; finally, evaluating the safe operating range of the crane also requires calculating the safety gap between the crane and surrounding objects, and displaying it in real time The crane position and safe operating range provide the most reasonable working speed, monitor and warn the construction process, effectively avoid a lot of time loss caused by collisions on the construction site, and also ensure the personal safety of construction workers. This invention adopts a crane safety operating range assessment method based on the spherical polar coordinate system. By evaluating the collision risk, transportation path and installation time of construction equipment or other objects in a complex environment, it can accurately and intuitively compare the crane itself and the hoisted goods with the actual situation. It performs collision analysis on objects in the installation environment, analyzes the relative positions of the construction site and optimally plans the construction speed and path, and provides warning and alarm systems, which improves the safety of transmission line construction and has strong practicability.
附图说明Description of the drawings
图1为本发明实施例提供的物体在三维直角坐标系中的表达示意图;Figure 1 is a schematic representation of an object in a three-dimensional rectangular coordinate system provided by an embodiment of the present invention;
图2为本发明实施例提供的物体在球极坐标系中的表达示意图;Figure 2 is a schematic representation of an object in a spherical polar coordinate system according to an embodiment of the present invention;
图3为本发明实施例提供的一种基于球极坐标系的吊车安全作业范围评估方法的流程示意图;Figure 3 is a schematic flow chart of a crane safe operating range assessment method based on a spherical polar coordinate system provided by an embodiment of the present invention;
图4为本发明实施例提供的吊车在球极坐标系中的表达示意图;Figure 4 is a schematic representation of the crane provided by the embodiment of the present invention in a spherical polar coordinate system;
图5为本发明实施例提供的障碍物与吊车的距离关系示意图;Figure 5 is a schematic diagram of the distance relationship between obstacles and a crane provided by an embodiment of the present invention;
图6为本发明实施例提供的碰撞检测和速度规划的方法流程示意图;Figure 6 is a schematic flowchart of a method of collision detection and speed planning provided by an embodiment of the present invention;
图7为本发明实施例提供的一种基于球极坐标系的吊车安全作业范围评估系统的结构示意图。Figure 7 is a schematic structural diagram of a crane safe operating range assessment system based on a spherical polar coordinate system provided by an embodiment of the present invention.
具体实施方式Detailed ways
在对本发明实施例进行说明之前,首先对本申请的发明构思进行介绍。Before describing the embodiments of the present invention, the inventive concept of the present application is first introduced.
在输电线路施工前,首先要确定施工区平断面图中的物体的位置信息及空间关系,以确定施工输电线路施工中具体的细节流程。此外,施工过程中通常采用吊车来进行基础设施和电力设备的吊装,吊车的伸缩撑杆为圆弧状,工作时它对吊臂的支持力始终与吊臂垂直,使吊臂缓慢转动,从而将货物提起。但现有技术中输电线平断面图的呈现面均为二维图像,无法直观的转换成三维空间的约束条件,且所选用的笛卡尔坐标系坐标难以直观地展示吊车工况,无法清晰地观测和预知施工过程中存在的安全隐患。Before the construction of transmission lines, it is first necessary to determine the location information and spatial relationships of objects in the plan view of the construction area to determine the specific details of the construction process of transmission lines. In addition, cranes are usually used to hoist infrastructure and power equipment during construction. The telescopic struts of the crane are arc-shaped. During work, its supporting force is always perpendicular to the boom, causing the boom to rotate slowly, thus Lift the goods. However, in the existing technology, the presentation surface of the transmission line plan section is a two-dimensional image, which cannot be intuitively converted into the constraints of the three-dimensional space. Moreover, the selected Cartesian coordinate system coordinates are difficult to intuitively display the crane working conditions and cannot clearly display the crane working conditions. Observe and predict potential safety hazards during construction.
因此,本申请的方法从吊车操作员的角度来观测吊装工作过程,其对于吊装工况三维空间的最佳描述为球极坐标系。对施工过程进行基于球极坐标系的吊车安全作业范围评估,可以帮助施工人员更为清晰的观测和预知施工过程中存在的安全隐患。同时也可以直观的探测到吊车本身及所吊装货物与实际安装环境中任何物体的距离及碰撞分析,通过对施工现场的相对位置分析即可实现施工方法和路径的最优规划。Therefore, the method of this application observes the hoisting work process from the perspective of the crane operator, and its best description of the three-dimensional space of the hoisting working conditions is the spherical polar coordinate system. Assessment of the crane's safe operating range based on the spherical polar coordinate system during the construction process can help construction personnel more clearly observe and predict potential safety hazards during the construction process. At the same time, it can also intuitively detect the distance and collision analysis between the crane itself and the hoisted goods and any objects in the actual installation environment. By analyzing the relative position of the construction site, the optimal planning of construction methods and paths can be achieved.
本申请提供一种基于球极坐标系的吊车安全作业范围评估方法及系统,所述方法的基础技术是将施工环境中物体的三维直角坐标(xi,yi,zi)转化为球极坐标系下的三维球极坐标(ri,φi,θi)。具体的原理如下:This application provides a method and system for evaluating the safe operating range of a crane based on the spherical polar coordinate system. The basic technology of the method is to convert the three-dimensional rectangular coordinates (xi, yi, zi) of objects in the construction environment into the spherical polar coordinate system. The three-dimensional spherical polar coordinates (ri, φi, θi). The specific principles are as follows:
传统的三维直角坐标系是一种利用直角坐标(x,y,z)来表示一个点P在三维空间的位置的三维正交坐标系。本申请中所讨论的三维直角坐标系默认其x、y、z轴的正方向满足右手定则(如图1所示)。在三维空间的任何一点P,可以用直角坐标(x,y,z)来表达其位置。The traditional three-dimensional rectangular coordinate system is a three-dimensional orthogonal coordinate system that uses rectangular coordinates (x, y, z) to represent the position of a point P in the three-dimensional space. The three-dimensional rectangular coordinate system discussed in this application defaults to the positive direction of its x, y, and z axes satisfying the right-hand rule (as shown in Figure 1). At any point P in three-dimensional space, its position can be expressed by rectangular coordinates (x, y, z).
球极坐标系,又称空间极坐标,是三维坐标系的一种,由二维极坐标系扩展而来,用以确定三维空间中点、线、面以及体的位置,它以坐标原点为参考点,由方位角、仰角和距离构成。利用球坐标来表示一个点P在三维空间的位置的三维正交坐标系。The spherical polar coordinate system, also known as space polar coordinates, is a type of three-dimensional coordinate system. It is expanded from the two-dimensional polar coordinate system and is used to determine the positions of points, lines, surfaces and bodies in three-dimensional space. It takes the coordinate origin as The reference point consists of azimuth, elevation and distance. Using spherical coordinates A three-dimensional orthogonal coordinate system that represents the position of a point P in three-dimensional space.
如图2所示,原点O与目标点P之间的径向距离为r,O到P的连线与正z轴之间的夹角为天顶角θ,O到P的连线在xy平面上的投影线与正x轴之间的夹角为方位角 As shown in Figure 2, the radial distance between the origin O and the target point P is r, the angle between the line connecting O to P and the positive z-axis is the zenith angle θ, and the line connecting O to P is at xy The angle between the projection line on the plane and the positive x-axis is the azimuth angle
根据上述基本原理,将吊装工况的三维空间用球极坐标系表示,从而更直观、更清晰的对空间关系进行判断,根据三维球极坐标数据和运动参数,确定所述吊车的安全作业范围;再根据安全作业范围对吊车的工作速度进行调整,保障了输电线路施工过程的安全性。Based on the above basic principles, the three-dimensional space of the hoisting working condition is represented by the spherical polar coordinate system, so as to judge the spatial relationship more intuitively and clearly. According to the three-dimensional spherical polar coordinate data and motion parameters, the safe operating range of the crane is determined. ;Then the working speed of the crane is adjusted according to the safe operating range to ensure the safety of the transmission line construction process.
下面结合附图来具体描述本发明的优选实施例,其中,附图构成本申请一部分,并与本发明的实施例一起用于阐释本发明的原理,并非用于限定本发明的范围。The preferred embodiments of the present invention will be described in detail below with reference to the accompanying drawings. The drawings constitute a part of this application and are used together with the embodiments of the present invention to illustrate the principles of the present invention, but are not intended to limit the scope of the present invention.
本发明实施例提出了一种基于球极坐标系的吊车安全作业范围评估方法,图3是所述基于球极坐标系的吊车安全作业范围评估方法的流程示意图,所述方法包括:The embodiment of the present invention proposes a method for evaluating the safe operating range of a crane based on a spherical polar coordinate system. Figure 3 is a schematic flow chart of the method for evaluating the safe operating range of a crane based on a spherical polar coordinate system. The method includes:
步骤S101:获取吊车的位姿数据和运动参数;Step S101: Obtain the pose data and motion parameters of the crane;
步骤S102:基于球极坐标系对所述吊车的位姿数据进行转换,得到所述吊车的三维球极坐标数据;Step S102: Convert the pose data of the crane based on the spherical polar coordinate system to obtain the three-dimensional spherical polar coordinate data of the crane;
步骤S103:根据所述吊车的三维球极坐标数据和运动参数进行障碍物碰撞风险检测,评估所述吊车的安全作业范围;Step S103: Perform obstacle collision risk detection based on the three-dimensional spherical polar coordinate data and motion parameters of the crane, and evaluate the safe operating range of the crane;
步骤S104:根据所述吊车的安全作业范围,确定所述吊车的工作速度范围。Step S104: Determine the working speed range of the crane based on the safe operating range of the crane.
本实施例提供的方法,首先,获取吊车的位姿数据和运动参数,并通过坐标转换算法,将吊车的笛卡尔坐标转换为球极坐标,以便进行安全范围的评估和计算;其次,通过碰撞检测算法分析吊车位置和周围环境数据,并确定是否存在碰撞的可能性;最后,评估吊车的安全作业范围还需要计算吊车与周围物体之间的安全间隙,实时显示吊车位置和安全作业范围,提供最合理的工作速度,对施工过程进行监控和警示,有效免除施工现场因碰撞问题而造成的大量时间损耗,同时也能够确保施工人员的人身安全。本实施例的方法基于球极坐标系的坐标转换,通过对复杂环境下施工设备或其他物体输送路径和安装时间的评估,准确直观地对吊车本身及所吊装货物与实际安装环境中物体进行碰撞分析,对施工现场的相对位置进行分析和施工速度与路径的最优规划,提高了输电线路施工的安全性。The method provided in this embodiment firstly obtains the pose data and motion parameters of the crane, and uses a coordinate conversion algorithm to convert the Cartesian coordinates of the crane into spherical polar coordinates in order to evaluate and calculate the safety range; secondly, through the collision The detection algorithm analyzes the crane position and surrounding environment data and determines whether there is a possibility of collision; finally, evaluating the safe operating range of the crane also requires calculating the safe gap between the crane and surrounding objects, displaying the crane position and safe operating range in real time, and providing The most reasonable working speed monitors and warns the construction process, effectively avoiding a lot of time loss caused by collisions at the construction site, and also ensuring the personal safety of construction workers. The method of this embodiment is based on the coordinate conversion of the spherical polar coordinate system. By evaluating the transportation path and installation time of construction equipment or other objects in a complex environment, the collision between the crane itself and the hoisted goods and objects in the actual installation environment can be accurately and intuitively determined. Analysis, analyzing the relative position of the construction site and optimal planning of construction speed and path, improve the safety of transmission line construction.
作为一个具体的实施例,所述吊车的位姿通过传感器或其他装置进行获取,如摄像头、激光扫描仪、雷达等,这些传感器和装置还用于感知周围障碍物的位置、形状和尺寸,从而获取所述吊车周围环境的信息。As a specific embodiment, the position and attitude of the crane is acquired through sensors or other devices, such as cameras, laser scanners, radars, etc. These sensors and devices are also used to sense the position, shape and size of surrounding obstacles, thereby Obtain information about the environment surrounding the crane.
利用激光扫描仪或雷达等传感器,可以获取吊车周围环境的三维点云数据。通过分析点云数据,可以为后续的碰撞检测和安全范围评估提供准确的数据基础,以确保吊车操作在安全范围内进行。Using sensors such as laser scanners or radars, three-dimensional point cloud data of the environment around the crane can be obtained. By analyzing point cloud data, an accurate data basis can be provided for subsequent collision detection and safety range assessment to ensure that crane operations are carried out within a safe range.
作为优选的实施例,所述吊车的位姿数据包括所述吊车的各构成部件在三维直角坐标系中的坐标位置、所述吊车的起重臂角度和伸展长度;其中,所述吊车的构成部件包括吊车本体和吊车的起重臂。As a preferred embodiment, the pose data of the crane includes the coordinate positions of each component of the crane in a three-dimensional rectangular coordinate system, the angle and extension length of the boom of the crane; wherein, the composition of the crane The components include the crane body and the crane's boom.
需要说明的是,本实施例的方法可以继续使用吊车位置和姿态的笛卡尔坐标系,而不进行坐标转换。通过在笛卡尔坐标系中进行碰撞检测和安全间隙计算,可以评估吊车的安全作业范围。It should be noted that the method of this embodiment can continue to use the Cartesian coordinate system of the crane's position and attitude without performing coordinate transformation. By performing collision detection and safe clearance calculations in a Cartesian coordinate system, the safe operating range of the crane can be evaluated.
如果吊车的操作空间具有球对称性,且球极坐标系的表示更符合操作员的工作流程和可视化需求,那么基于球极坐标系的方法更适合。它可以提供直观的安全范围可视化,并在操作员的视野范围内提供重要信息。不需要大量的感知数据也不需要高精度的雷达等仪器的辅助。选择最适合的方案取决于各种因素,包括应用场景、可用技术、预算和性能要求等。If the crane's operating space has spherical symmetry and the representation of the spherical polar coordinate system is more in line with the operator's workflow and visualization needs, then the method based on the spherical polar coordinate system is more suitable. It provides intuitive visualization of safety limits and provides important information within the operator's field of view. It does not require a large amount of sensory data or the assistance of high-precision radar and other instruments. Choosing the most suitable option depends on a variety of factors, including application scenario, available technology, budget and performance requirements.
作为优选的实施例,所述基于球极坐标系对所述吊车的位姿数据进行转换,得到所述吊车的三维球极坐标数据,包括:As a preferred embodiment, the pose data of the crane is converted based on the spherical polar coordinate system to obtain the three-dimensional spherical polar coordinate data of the crane, including:
对于以所述吊车本体作为原点的三维直角坐标系,将所述吊车的起重臂上任一点P(x,y,z)转换为三维球极坐标系下的三维球极坐标数据的具体公式为:For the three-dimensional rectangular coordinate system with the crane body as the origin, any point P (x, y, z) on the crane's boom is converted into three-dimensional spherical coordinate data in the three-dimensional spherical coordinate system. The specific formula is:
其中,r表示点P与原点的径向距离,θ表示点P与z轴之间的夹角,表示点P与x轴之间的夹角。Among them, r represents the radial distance between point P and the origin, θ represents the angle between point P and the z-axis, Represents the angle between point P and the x-axis.
作为一个具体的实施例,请参见图4,对图4中的吊车进行数学表达,以吊车本体作为坐标原点,可以得到:r为当前吊车吊臂的长度,θ为当前吊臂与地面夹角的余角,为当前吊臂在水平面投影的与x轴夹角。球极坐标系通过径向距离、方位角和俯仰角三个参数,更好地描述了吊车在三维空间中的位置和姿态。As a specific embodiment, please refer to Figure 4. By mathematically expressing the crane in Figure 4, using the crane body as the origin of the coordinates, we can get: r is the length of the current crane arm, and θ is the angle between the current arm and the ground. the remaining angle, It is the angle between the projection of the current boom on the horizontal plane and the x-axis. The spherical polar coordinate system better describes the position and attitude of the crane in the three-dimensional space through three parameters: radial distance, azimuth angle and pitch angle.
具体的,球极坐标系转换为直角坐标系的具体公式如下:Specifically, the specific formula for converting the spherical polar coordinate system into the rectangular coordinate system is as follows:
z=rcosθ (3)z=rcosθ (3)
在球极坐标系中,球面x2+y2+z2=a2的方程为r=a,球面x2+y2+(z-a)2=a2的方程为r=2acosθ,柱面x2+y2=R2的方程为rsinθ=R。In the spherical polar coordinate system, the equation of the sphere x 2 +y 2 +z 2 =a 2 is r=a, the equation of the sphere x 2 +y 2 +(za) 2 =a 2 is r=2acosθ, and the equation of the cylinder x The equation of 2 +y 2 =R 2 is rsinθ=R.
那么直角坐标系转换为球极坐标系的具体公式如下:Then the specific formula for converting the rectangular coordinate system into the spherical polar coordinate system is as follows:
作为优选的实施例,所述运动参数包括吊车的尺寸、操作限制和运动自由度。As a preferred embodiment, the movement parameters include the size, operating limitations and freedom of movement of the crane.
作为一个具体的实施例,基于吊车的球极坐标数据,计算吊车的安全范围。这涉及确定吊车在球极坐标系中的最大半径(r_max)和安全角度范围(θ_min、θ_max、)。As a specific embodiment, the safety range of the crane is calculated based on the spherical polar coordinate data of the crane. This involves determining the maximum radius (r_max) and safe angle range (θ_min, θ_max, ).
最大半径(r_max):根据吊车的尺寸和操作限制,确定吊车在球极坐标系中的最大半径,即吊车能够安全到达的最远距离。Maximum radius (r_max): Based on the size and operating limitations of the crane, determine the maximum radius of the crane in the spherical polar coordinate system, that is, the farthest distance that the crane can safely reach.
安全角度范围(θ_min、θ_max、):根据吊车的限制条件和操作需求,确定吊车在球极坐标系中的安全角度范围。这些角度范围可以根据具体情况,考虑吊车的旋转、抬升和摆动等运动自由度。Safety angle range (θ_min, θ_max, ): Determine the safe angle range of the crane in the spherical polar coordinate system based on the crane's restrictions and operating requirements. These angular ranges allow for the crane's freedom of movement such as rotation, lifting and oscillation to be taken into account on a case-by-case basis.
作为优选的实施例,根据所述吊车的三维球极坐标数据和运动参数进行障碍物碰撞风险检测,评估所述吊车的安全作业范围,包括:As a preferred embodiment, obstacle collision risk detection is performed based on the three-dimensional spherical polar coordinate data and motion parameters of the crane, and the safe operating range of the crane is evaluated, including:
根据所述吊车的三维球极坐标数据和运动参数,确定所述吊车当前位姿的最大活动半径和安全角度范围;According to the three-dimensional spherical polar coordinate data and motion parameters of the crane, determine the maximum activity radius and safe angle range of the current posture of the crane;
当所述吊车周围的障碍物与所述吊车本体的水平直线距离超出所述吊车的最大活动半径时,所述安全作业范围为第一安全作业范围;When the horizontal straight-line distance between the obstacles around the crane and the crane body exceeds the maximum radius of movement of the crane, the safe operating range is the first safe operating range;
当所述吊车周围的障碍物与所述吊车本体的水平直线距离在所述吊车的最大活动范围之内时,所述安全作业范围为第二安全作业范围,所述第二安全作业范围根据所述障碍物的尺寸和位姿,以及所述吊车的安全角度范围确定。When the horizontal linear distance between the obstacles around the crane and the crane body is within the maximum movement range of the crane, the safe operating range is the second safe operating range, and the second safe operating range is based on the The size and position of the obstacle and the safe angle range of the crane are determined.
下面用一个具体的实施例对上述过程进行详细说明。The above process will be described in detail below using a specific embodiment.
第一步:以吊车本体为原点构建球极坐标系,r为当前吊车吊臂的长度,θ为当前吊臂与地面夹角的余角,为当前吊臂在水平面投影的与x轴夹角。Δr为当前状态吊车可活动半径大小,Δθ,/>为当前状态可活动的角度范围。假设此时吊车在球极坐标系中的最大半径为r_max,安全角度范围为(θ_min、θ_max、/>)。Step 1: Construct a spherical polar coordinate system with the crane body as the origin, r is the length of the current crane arm, θ is the supplementary angle between the current arm and the ground, It is the angle between the projection of the current boom on the horizontal plane and the x-axis. Δr is the movable radius of the crane in the current state, Δθ,/> It is the angle range that can be moved in the current state. Assume that the maximum radius of the crane in the spherical polar coordinate system is r_max at this time, and the safe angle range is (θ_min, θ_max,/> ).
第二步:判断吊车周围是否存在障碍物。若不存在障碍物,则吊车的安全作业范围为第一安全作业范围,记为安全范围①;若存在障碍物,则进入第三步。Step 2: Determine whether there are obstacles around the crane. If there are no obstacles, the safe operating range of the crane is the first safe operating range, recorded as safe range ①; if there are obstacles, go to the third step.
第三步:确认障碍物到吊车原点(O点)的水平直线安全距离d和障碍物的安全高度为h。障碍物的占地位置以从原点O到障碍物两侧安全距离的夹角计算需要说明的是,此处的安全距离表示相离障碍物实物存在一定长度的距离。如图5所示,图5中,长方体为检测到的障碍物,坐标系表示以吊车本体为原点的球极坐标系。Step 3: Confirm the horizontal straight line safety distance d from the obstacle to the origin of the crane (point O) and the safety height of the obstacle as h. The occupied position of the obstacle is calculated based on the angle from the origin O to the safe distance on both sides of the obstacle. It should be noted that the safety distance here means that there is a certain distance away from the obstacle. As shown in Figure 5, in Figure 5, the cuboid is the detected obstacle, and the coordinate system represents the spherical polar coordinate system with the crane body as the origin.
第四步:根据水平直线安全距离d的大小进行情景分析,计算吊车的安全范围;Step 4: Conduct scenario analysis based on the horizontal straight line safety distance d to calculate the safety range of the crane;
当d>r_max时,吊车的安全范围为安全范围①。When d>r_max, the safety range of the crane is safety range ①.
当d<r_max时,将吊车的安全范围记为安全范围②,需要根据多种情况进行分析。When d<r_max, the safety range of the crane is recorded as the safety range ②, which needs to be analyzed based on various situations.
具体的,吊车的安全范围r+Δr、θ+Δθ和满足:Specifically, the safety range of the crane is r+Δr, θ+Δθ and satisfy:
安全范围①:Safety range ①:
r+Δr < r_max (7)r+Δr < r_max (7)
θ_min < θ+Δθ < θ_max (8)θ_min < θ+Δθ < θ_max (8)
安全范围②:Safety range ②:
作为一个具体的实施例,还可利用三维建模和仿真技术,在计算机环境中对吊车、环境和作业场景进行建模和模拟。通过在仿真环境中进行碰撞检测和安全范围评估,可以预测吊车的安全作业范围,避免实际碰撞风险。As a specific embodiment, three-dimensional modeling and simulation technology can also be used to model and simulate the crane, environment and operating scenarios in a computer environment. By performing collision detection and safety range assessment in the simulation environment, the safe operating range of the crane can be predicted to avoid actual collision risks.
在一些实施例中,可利用深度学习和计算机视觉技术开发物体检测、跟踪和碰撞风险预测算法。通过分析实时视频或传感器数据,可以检测吊车周围的物体,并预测碰撞风险,从而实现吊车安全作业范围的评估。具体的,可以采用YOLO模型等来进行障碍物体的检测,然后通过卡尔曼滤波之类的预测算法机器学习预估行动,从而达到预测碰撞风险。In some embodiments, deep learning and computer vision techniques may be utilized to develop object detection, tracking, and collision risk prediction algorithms. By analyzing real-time video or sensor data, objects around the crane can be detected and collision risks can be predicted, allowing assessment of the crane's safe operating range. Specifically, the YOLO model can be used to detect obstacle objects, and then use prediction algorithms such as Kalman filtering to predict actions through machine learning, thereby predicting collision risks.
作为优选的实施例,根据所述吊车的安全作业范围,确定所述吊车的工作速度范围,包括:As a preferred embodiment, the working speed range of the crane is determined based on the safe operating range of the crane, including:
当所述吊车的安全作业范围为第一安全范围时,所述吊车的工作速度为正常变幅速度、正常水平旋转速度和正常垂直旋转速度;When the safe operating range of the crane is the first safety range, the working speed of the crane is the normal luffing speed, normal horizontal rotation speed and normal vertical rotation speed;
当所述吊车的安全作业范围为第二安全范围时,判断所述障碍物与所述吊车本体的水平直线距离是否达到预设的预警距离,当达到所述预设的预警距离时,将所述吊车的工作速度调整为预设变幅速度、预设水平旋转速度和预设垂直旋转速度。When the safe operating range of the crane is the second safe range, it is judged whether the horizontal straight line distance between the obstacle and the crane body reaches the preset warning distance. When the preset warning distance is reached, all the obstacles are removed. The working speed of the above-mentioned crane is adjusted to the preset luffing speed, the preset horizontal rotation speed and the preset vertical rotation speed.
作为优选的实施例,所述预设的预警距离为多级预警距离,每一级所述预警距离对应设置有相应的变幅速度、水平旋转速度和垂直旋转速度。As a preferred embodiment, the preset early warning distance is a multi-level early warning distance, and each level of the early warning distance is provided with corresponding amplitude speed, horizontal rotation speed and vertical rotation speed.
作为一个具体的实施例,根据上述吊车的安全作业范围计算吊车的工作速度V。所述工作速度V是指吊车工作机构在额定载荷下稳定运行的速度,不同情况下工作速度V不同。下面分情况来讨论工作速度V的确定方法。假设障碍物到吊车原点(O点)的水平直线安全距离用d表示,吊车在球极坐标系中的最大半径为r_max,安全角度范围为(θ_min、θ_max、)。As a specific embodiment, the working speed V of the crane is calculated according to the safe operating range of the crane. The working speed V refers to the speed at which the crane's working mechanism operates stably under rated load. The working speed V is different under different circumstances. The method of determining the working speed V will be discussed below based on the situation. Assume that the horizontal straight line safety distance from the obstacle to the origin of the crane (point O) is represented by d, the maximum radius of the crane in the spherical polar coordinate system is r_max, and the safety angle range is (θ_min, θ_max, ).
①若d>r_max,则吊车与障碍物没有碰撞风险,吊车的工作速度为正常的工作速度。此时吊车的工作速度如下:变幅速度为V1、水平旋转速度为ω1、垂直旋转速度为w1;其中,V1、ω1和w1分别为正常变幅速度、正常水平旋转速度和正常垂直旋转速度。①If d>r_max, there is no risk of collision between the crane and the obstacle, and the working speed of the crane is the normal working speed. At this time, the working speed of the crane is as follows: the luffing speed is V1, the horizontal rotation speed is ω1, and the vertical rotation speed is w1; where V1, ω1, and w1 are the normal luffing speed, normal horizontal rotation speed, and normal vertical rotation speed respectively.
具体的,变幅速度是指吊车在稳定运动状态下,吊车吊臂从最大幅度到最小幅度的水平位移平均线速度,单位为m/min。Specifically, the luffing speed refers to the average linear speed of the horizontal displacement of the crane's boom from the maximum amplitude to the minimum amplitude when the crane is in a stable motion state. The unit is m/min.
旋转速度是指稳定运动状态下,吊车绕其旋转中心的旋转速度,水平旋转速度和垂直旋转速度则是指的在xoy平面/yoz平面的绕中心点的旋转速度,单位为r/min。The rotation speed refers to the rotation speed of the crane around its rotation center in a stable state of motion. The horizontal rotation speed and vertical rotation speed refer to the rotation speed around the center point in the xoy plane/yoz plane. The unit is r/min.
②若d<r_max,则吊车的安全范围需要根据多种情况分析,工作速度在安全范围内为正常的工作速度。在靠近障碍物安全范围一定程度时降低工作速度。②If d<r_max, the safety range of the crane needs to be analyzed based on various situations. The working speed within the safe range is the normal working speed. Reduce the working speed when approaching the obstacle safety range to a certain extent.
正常情况下变幅速度为V1,水平旋转速度为ω1,垂直旋转速度为w1。Under normal circumstances, the amplitude speed is V1, the horizontal rotation speed is ω1, and the vertical rotation speed is w1.
当靠近障碍物周围距离为预设的第一警戒距离d1时,变幅速度降低至V2(V2<V1/2),水平旋转速度降至ω2(ω2<ω1),垂直旋转速度降至w2(w2<w1)。When the distance around the obstacle is the preset first warning distance d1, the amplitude speed is reduced to V2 (V2<V1/2), the horizontal rotation speed is reduced to ω2 (ω2<ω1), and the vertical rotation speed is reduced to w2 ( w2<w1).
当靠近障碍物距离为预设的第二警戒距离d2(d2<d1)时,变幅速度降低至V3(V3<V2/2),水平旋转速度降至ω3(ω3<ω2),垂直旋转速度降至w3(w3<w2)。When the distance to the obstacle is the preset second warning distance d2 (d2<d1), the amplitude speed is reduced to V3 (V3<V2/2), the horizontal rotation speed is reduced to ω3 (ω3<ω2), and the vertical rotation speed is Dropped to w3 (w3<w2).
当靠近障碍物距离为预设的第三警戒距离d3(d3<d2)时,变幅速度,水平旋转速度、垂直旋转速度都降为0。When the distance to the obstacle is the preset third warning distance d3 (d3<d2), the luffing speed, horizontal rotation speed, and vertical rotation speed all drop to 0.
通过预设第一警戒距离、第二警戒距离和第三警戒距离,能够区分吊车的工作速度,能根据安全距离的余量确定工作速度,在确保安全的前提下最大程度地保证了施工效率。By presetting the first warning distance, the second warning distance and the third warning distance, the working speed of the crane can be distinguished, and the working speed can be determined based on the margin of the safety distance, thus ensuring maximum construction efficiency while ensuring safety.
如图6所示,图6展示了整体的碰撞检测和工作速度、施工路径最优规划的方法流程图。As shown in Figure 6, Figure 6 shows the overall collision detection, working speed, and construction path optimal planning method flow chart.
需要说明的是,本申请所述方法可应用在多个场景,包括但不限于以下几个具体应用场景:It should be noted that the method described in this application can be applied in multiple scenarios, including but not limited to the following specific application scenarios:
(1)工业领域:在工业生产中,吊车常用于装卸货物、搬运重物等任务。基于球极坐标系的安全作业范围评估方法可以帮助吊车操作员评估吊车在狭小工作空间内的安全作业范围,避免与设备、结构物或其他物体的碰撞。(1) Industrial field: In industrial production, cranes are often used for tasks such as loading and unloading goods and carrying heavy objects. The safe operating range assessment method based on the spherical polar coordinate system can help crane operators evaluate the safe operating range of the crane in a small working space to avoid collisions with equipment, structures or other objects.
(2)建筑和施工领域:在建筑工地和施工现场,吊车用于搬运建筑材料、吊装构件等任务。基于球极坐标系的安全作业范围评估方法可以帮助吊车操作员确定吊车的安全操作范围,避免与建筑物、脚手架或其他设备的碰撞。(2) Building and construction field: At construction sites and construction sites, cranes are used for tasks such as transporting building materials and hoisting components. The safe operating range assessment method based on the spherical polar coordinate system can help crane operators determine the safe operating range of the crane to avoid collisions with buildings, scaffolding or other equipment.
(3)道路和桥梁维护:在道路和桥梁维护工作中,吊车用于吊装和维修设备、清理障碍物等任务。基于球极坐标系的安全作业范围评估方法可以帮助吊车操作员评估吊车在道路、桥梁或高架结构物上的安全作业范围,避免与交通流量或其他结构物的碰撞。(3) Road and bridge maintenance: In road and bridge maintenance work, cranes are used for tasks such as hoisting and repairing equipment, clearing obstacles, etc. The safe operating range assessment method based on the spherical polar coordinate system can help crane operators evaluate the safe operating range of the crane on roads, bridges or elevated structures to avoid collisions with traffic flow or other structures.
本实施例还提供一种基于球极坐标系的吊车安全作业范围评估系统,如图7所示,所述基于球极坐标系的吊车安全作业范围评估系统700包括:This embodiment also provides a crane safe operating range assessment system based on a spherical polar coordinate system. As shown in Figure 7 , the crane safe operating range assessment system 700 based on a spherical polar coordinate system includes:
数据获取模块701,用于获取吊车的位姿数据和运动参数;Data acquisition module 701, used to acquire the pose data and motion parameters of the crane;
坐标转换模块702,用于基于球极坐标系对所述吊车的位姿数据进行转换,得到所述吊车的三维球极坐标数据;The coordinate conversion module 702 is used to convert the pose data of the crane based on the spherical polar coordinate system to obtain the three-dimensional spherical polar coordinate data of the crane;
评估模块703,用于根据所述吊车的三维球极坐标数据和运动参数进行障碍物碰撞风险检测,评估所述吊车的安全作业范围;The evaluation module 703 is used to detect obstacle collision risks based on the three-dimensional spherical polar coordinate data and motion parameters of the crane, and evaluate the safe operating range of the crane;
计算模块704,用于根据所述吊车的安全作业范围,确定所述吊车的工作速度范围。The calculation module 704 is used to determine the working speed range of the crane according to the safe operating range of the crane.
本实施例还提供一种电子设备,包括处理器以及存储器,所述存储器上存储有计算机程序,所述计算机程序被所述处理器执行时,实现如上述技术方案任一所述的基于球极坐标系的吊车安全作业范围评估方法。This embodiment also provides an electronic device, including a processor and a memory. A computer program is stored on the memory. When the computer program is executed by the processor, the spherical electrode-based method as described in any of the above technical solutions is implemented. Coordinate system-based crane safety operating range assessment method.
本实施例还提供一种计算机可读存储介质,所述计算机可读存储介质内存储有计算机程序,所述计算机程序被处理器执行时,实现上述技术方案任一所述的一种基于球极坐标系的吊车安全作业范围评估方法。This embodiment also provides a computer-readable storage medium. A computer program is stored in the computer-readable storage medium. When the computer program is executed by a processor, a spherical electrode-based method described in any of the above technical solutions is implemented. Coordinate system-based crane safety operating range assessment method.
根据本发明上述实施例提供的计算机可读存储介质和计算设备,可以参照根据本发明实现如上所述的一种基于球极坐标系的吊车安全作业范围评估方法具体描述的内容实现,并具有与如上所述的一种基于球极坐标系的吊车安全作业范围评估方法类似的有益效果,在此不再赘述。The computer-readable storage medium and computing device provided according to the above embodiments of the present invention can be implemented with reference to the detailed description of the method for evaluating the safe operating range of a crane based on the spherical polar coordinate system according to the present invention, and have the following features: The above-mentioned method for evaluating the safe operating range of a crane based on the spherical polar coordinate system has similar beneficial effects and will not be described again here.
以上所述,仅为本发明较佳的具体实施方式,但本发明的保护范围并不局限于此,任何熟悉本技术领域的技术人员在本发明揭露的技术范围内,可轻易想到的变化或替换,都应涵盖在本发明的保护范围之内。The above are only preferred specific embodiments of the present invention, but the protection scope of the present invention is not limited thereto. Any person familiar with the technical field can easily think of changes or modifications within the technical scope disclosed in the present invention. All substitutions are within the scope of the present invention.
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