CN1162679C - A three-degree-of-freedom space motion mechanism - Google Patents
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Abstract
本发明提供了一种三自由度空间运动机构,属于几何测量领域,该机构包括机架和三个设有铰链的可伸缩连杆分支,特征在于:该机构通过三个分支与机架连接,机架上的三个铰点应构成一个平面,三个分支均含有一个单自由度移动副,其中第一、第二分支还各含有两个球铰,第三分支含一个虎克铰;第一、第二分支各有一个球铰固定于机架,另外一个球铰与第三分支的伸缩杆杆芯连接,第三分支伸缩连杆壳的一端用虎克铰连接在机架上,该分支连杆上的虎克铰及其杆芯上的两个球铰在一条直线上。上述机构刚度好、精度高,其位置正、逆解有显式单解,可用于三坐标测量机和装配机器人。
The invention provides a three-degree-of-freedom space motion mechanism, which belongs to the field of geometric measurement. The mechanism includes a frame and three telescopic connecting rod branches provided with hinges. It is characterized in that: the mechanism is connected with the frame through three branches, The three hinge points on the frame should form a plane, and each of the three branches contains a single-degree-of-freedom moving pair, in which the first and second branches each contain two spherical joints, and the third branch contains a Hooke hinge; 1. The second branch has a ball joint fixed to the frame, and the other ball joint is connected with the telescopic rod core of the third branch. One end of the telescopic connecting rod shell of the third branch is connected to the frame with a Hooke hinge. The Hooke hinge on the branch connecting rod and the two spherical hinges on the core are in a straight line. The above-mentioned mechanism has good rigidity and high precision, and its position forward and reverse solutions have explicit single solutions, which can be used in three-coordinate measuring machines and assembly robots.
Description
技术领域technical field
本发明涉及连杆空间运动机构和几何测量技术领域,也涉及工业机器人技术领域。The invention relates to the technical field of connecting rod space motion mechanism and geometric measurement, and also relates to the technical field of industrial robot.
背景技术Background technique
到目前为止,笛卡儿坐标系仍然是使用最广泛的坐标系,因此以三个相互正交的直线移动导轨,构成X、Y、Z空间坐标为特征的空间机构应用最广泛。这种空间机构的位置正解和逆解最为简单,目前仍是三坐标测量机、打印机、雕刻机运动机构的主流形式。三坐标测量机使用正交空间机构有40余年历史,在设计、制造、标定、检验、误差补偿方面均达到很高水平。但正交机构有如下不足:①横梁受弯曲力的影响容易倾斜,产生误差;②系统误差是每一个坐标轴误差的积累和放大;③结构部件较笨重,测量速度受到限制;④成本高,而且这些缺点难以克服。随着计算机技术和由机器人带动的空间机构理论的发展,部分非正交空间机构因其运动位置在线分析和控制涉及的数学问题已经可以克服,因此逐步得到应用,非正交机构有开链和闭链两种主要形式,开链连杆机构有较大的测量空间,运动灵活,因此在现代机器人中使用较多。最近几年出现的便携式6自由度关节坐标测量机,如美国FARO和法国ROMER公司的系列产品,采用了开链的串联机构,它具有较大的测量空间,且操作和搬运方便,在汽车制造业中得到了广泛运用,其测量机构有2个臂杆和6个单自由度旋转关节,在每个活动关节中设置角度编码器,由于传感器自身和装配后的误差,以及杆长的放大作用,这些偏差在测头处积累、放大,尽管采取了有效措施,其精度仍然相对较低,系统刚度差,容易损坏。目前,闭链机构中的并联机构在机器人以及机床中得到了运用,其特征是:活动平台同时经由3~6根沿各自轴向伸缩的连杆支撑,其优点有:①系统刚度高;②运动误差小;③各杆件误差不被积累、放大,测量精度高;④运动部件质量小。然而不可否认的是大多数并联机构的正解比较困难,在线计算难度太大,且由于耦合关系复杂、控制难度也大,限制了它的使用。So far, the Cartesian coordinate system is still the most widely used coordinate system, so the spatial mechanism characterized by three mutually orthogonal linear moving guide rails constituting the X, Y, and Z space coordinates is the most widely used. The forward solution and inverse solution of the position of this space mechanism are the simplest, and it is still the mainstream form of the motion mechanism of the three-dimensional coordinate measuring machine, printer, and engraving machine. The three-coordinate measuring machine has a history of more than 40 years using the orthogonal space mechanism, and has reached a very high level in design, manufacture, calibration, inspection, and error compensation. However, the orthogonal mechanism has the following disadvantages: ①The beam is easily tilted due to the bending force, resulting in errors; ②The system error is the accumulation and amplification of the error of each coordinate axis; ③The structural components are heavy and the measurement speed is limited; ④The cost is high, And these shortcomings are difficult to overcome. With the development of computer technology and the theory of space mechanisms driven by robots, some non-orthogonal space mechanisms can overcome the mathematical problems involved in online analysis and control of their motion positions, so they have been gradually applied. Non-orthogonal mechanisms have open chain and There are two main forms of closed chain, and the open chain linkage mechanism has a large measurement space and flexible movement, so it is used more in modern robots. Portable 6-DOF joint coordinate measuring machines that have appeared in recent years, such as the series products of FARO in the United States and ROMER in France, use an open-chain series mechanism, which has a large measurement space and is easy to operate and carry. It is widely used in automobile manufacturing. It has been widely used in the industry. Its measuring mechanism has 2 arm rods and 6 single-degree-of-freedom rotary joints, and an angle encoder is set in each movable joint. Due to the error of the sensor itself and after assembly, as well as the amplification effect of the rod length , these deviations are accumulated and magnified at the measuring head. Although effective measures are taken, its accuracy is still relatively low, the system rigidity is poor, and it is easy to be damaged. At present, the parallel mechanism in the closed-chain mechanism has been used in robots and machine tools. Its characteristics are: the movable platform is supported by 3 to 6 connecting rods that expand and contract along their respective axes at the same time. The advantages are: ① High rigidity of the system; ② The motion error is small; ③The error of each rod is not accumulated and enlarged, and the measurement accuracy is high; ④The mass of the moving parts is small. However, it is undeniable that the positive solution of most parallel mechanisms is relatively difficult, and the online calculation is too difficult, and its use is limited due to the complex coupling relationship and difficult control.
发明内容Contents of the invention
本发明的目的是提供一种三自由度空间运动机构,其构造简单、刚度好;运动位置正解和逆解有简单的显式单解:运动位置误差不被积累和放大、精度高,因此便于对其实施空间位置的精确计算和闭环控制,利用该机构可以组成新型的三坐标测量机和装配机器人。为达到本发明的目的,可以通过以下技术方案来实现:该运动机构包括机架和三个设有铰链的可伸缩连杆分支机构,通过三个固定伸缩连杆杆壳端部的铰链与机架连接形成闭环结构,其中第一、第二分支各含有一个单自由度移动副、两个球铰,第三个分支含有一个单自由度移动副、一个虎克铰,该伸缩连杆杆壳端部与虎克铰相连,另一端为伸缩连杆的自由端;所述第一、二分支各有一个球铰固定在机架上,另一个球铰与第三分支的伸缩连杆的杆芯连接,第三分支上的虎克铰和第一、二分支伸缩连杆的杆芯上的两个球铰在一条直线上,但机架的三个铰点应构成一个平面。第一、二分支的伸缩连杆杆芯的一端也可公用一个复合球铰与第三分支连接。The purpose of the present invention is to provide a three-degree-of-freedom space motion mechanism, which has a simple structure and good rigidity; the forward and reverse solutions of the motion position have simple explicit single solutions: the error of the motion position is not accumulated and magnified, and the precision is high, so it is convenient The precise calculation and closed-loop control of its spatial position can be implemented, and a new type of three-coordinate measuring machine and assembly robot can be formed by using this mechanism. In order to achieve the purpose of the present invention, it can be achieved through the following technical solutions: the kinematic mechanism includes a frame and three telescopic connecting rod branches provided with hinges, and the hinges and the machine are connected by three fixed telescopic connecting rod shell ends. The frame is connected to form a closed-loop structure, in which the first and second branches each contain a single-degree-of-freedom moving pair and two spherical joints, and the third branch contains a single-degree-of-freedom moving pair and a Hooke hinge. The end is connected with the Hooke hinge, and the other end is the free end of the telescopic link; the first and second branches each have a ball joint fixed on the frame, and the other ball joint is connected to the rod of the telescopic link of the third branch. Core connection, the Hooke hinge on the third branch and the two spherical hinges on the rod core of the first and second branch telescopic connecting rods are in a straight line, but the three hinge points of the frame should form a plane. One end of the telescopic connecting rod rod core of the first and second branches can also be connected with the third branch by a common compound ball joint.
与正交运动机构相比,上述机构无高精度的直线导轨,也无典型并联机构的运动平台,因此结构简单。与正交机构或串联机构比较,由于本发明机构的三个运动分支在末端形成封闭,因此系统刚度好。Compared with the orthogonal kinematic mechanism, the above-mentioned mechanism has no high-precision linear guide rail, nor a typical parallel mechanism motion platform, so the structure is simple. Compared with the orthogonal mechanism or the series mechanism, since the three motion branches of the mechanism of the present invention are closed at the ends, the system rigidity is good.
上述第三分支杆芯球铰位置的正解、逆解问题简述如下:根据机架铰心的位置坐标和伸缩杆长度,可列出以机架铰心为球心,伸缩杆长度为半径的三个球面方程,再根据第三分支伸缩连杆上三个铰心位于一条直线的特征和两个球铰中心的距离,可列出两个球铰心的3个坐标的等式,用带入消元法得到一元二次方程,最终可求出第三分支杆芯球铰位置的两个显式解,在结构设计中采用简单的限位措施可以保证:该机构三个确定的杆长对应一个确定的位置。根据空间位置求杆长的逆解问题实际是求空间两点的距离,更加简单。因此这种空间机构的位置正解、逆解都相当容易。The positive solution and inverse solution of the position of the third branch rod core spherical hinge are briefly described as follows: According to the position coordinates of the hinge center of the frame and the length of the telescopic rod, it is possible to list the Three spherical equations, and according to the characteristics of the three hinge centers on a straight line on the third branch of the telescopic connecting rod and the distance between the centers of the two spherical hinges, the equations of the three coordinates of the two spherical hinge centers can be listed. The one-dimensional quadratic equation is obtained by entering and eliminating elements, and finally two explicit solutions for the position of the spherical hinge of the third branch rod core can be obtained. In the structural design, simple limit measures can be used to ensure that the three determined rod lengths of the mechanism corresponds to a certain location. The inverse problem of finding the length of the rod according to the spatial position is actually to find the distance between two points in space, which is simpler. Therefore, the positive solution and reverse solution of the position of this space mechanism are quite easy.
由于球铰和虎克铰的间隙比直线导轨的间隙容易消除,伸缩连杆的直线度对伸缩杆长度的影响极小,利用伸缩连杆带有的光栅尺,可精确在线测量计算三个伸缩杆两端铰链中心的距离即伸缩杆长,因此可用较低的成本达到很高的测量位置重复精度,此外三个机架铰链的中心点在过该点且与对应杆垂直平面内的位置误差对第三分支杆芯球铰位置的影响也极小。由此可见该机构零件的形位误差不被积累和放大、因此运动精度高。Since the gap between the spherical hinge and the Hooke hinge is easier to eliminate than the gap between the linear guide rail, the straightness of the telescopic link has little influence on the length of the telescopic link. Using the grating ruler attached to the telescopic link, it can accurately measure and calculate the three telescopic links online. The distance between the centers of the hinges at both ends of the rod is the length of the telescopic rod, so a high repeatability of the measurement position can be achieved at a low cost. In addition, the center points of the three rack hinges pass through this point and the position error of the vertical plane with the corresponding rod There is also minimal impact on the position of the third branch core ball joint. It can be seen that the shape and position errors of the parts of the mechanism are not accumulated and enlarged, so the movement accuracy is high.
此外伸缩连杆也可设计成带动力的主动伸缩杆,实现三自由度空间位置的在线精确测量和闭环控制,可用于空间位置精确测量和控制的场合,如三坐标测量机和装配机器人。该空间运动机构用于坐标测量最简单的情况是:在第三分支伸缩连杆的自由端固定接触式测头,连杆被动伸缩,根据测头中心与第三分支伸缩连杆的相对位置即可确定测点空间坐标,制成手动坐标测量机。由于第三分支伸缩杆用虎克铰与机架连接,它不能绕杆的轴线自转,可固定带2个分度的测头,改进坐标测量的灵活性,提高测量效率。当然,如伸缩连杆带动力装置,则可实现自动测量。与常规三坐标测量机构相比,其构造简单、轻巧、成本低,刚度好、精度高,易于在制造业生产现场推广使用。In addition, the telescopic link can also be designed as an active telescopic rod with power to realize online precise measurement and closed-loop control of the three-degree-of-freedom space position, which can be used in occasions where the space position is precisely measured and controlled, such as three-coordinate measuring machines and assembly robots. The simplest case where the spatial motion mechanism is used for coordinate measurement is: fix the contact probe at the free end of the third branch telescopic link, and the link passively expands and contracts. According to the relative position between the center of the probe and the third branch telescopic link, The spatial coordinates of the measuring points can be determined and made into a manual coordinate measuring machine. Since the telescopic rod of the third branch is connected with the frame by a Hooke hinge, it cannot rotate around the axis of the rod, and it can fix the measuring head with 2 graduations, which improves the flexibility of coordinate measurement and improves the measurement efficiency. Of course, if the telescopic link is equipped with a power device, automatic measurement can be realized. Compared with the conventional three-coordinate measuring mechanism, its structure is simple, light and handy, low in cost, good in rigidity and high in precision, and it is easy to be popularized and used in the production site of the manufacturing industry.
该运动机构也可用于装配机器人,此时伸缩连杆设计成带动力的主动伸缩杆,在第三分支伸缩连杆的自由端安装带关节的机械手或其它执行部件如吸盘等。其优点是其构造简单、轻巧、成本低,刚度好、精度高,特别是运动位置正解、逆解有唯一的解析解,便于实时进行位置测量和位置闭环控制。The kinematic mechanism can also be used for assembling robots. At this time, the telescopic link is designed as a powered active telescopic link, and a jointed manipulator or other executive components such as suction cups are installed on the free end of the third branch telescopic link. Its advantages are simple structure, light weight, low cost, good rigidity, and high precision. In particular, the forward and inverse solutions of the motion position have unique analytical solutions, which are convenient for real-time position measurement and position closed-loop control.
如第三分支伸缩杆垂向吊挂布置,第一、二分支与第三分支的连接点也可在伸缩杆杆壳上,这样第三分支杆芯不承受第一、二分支的重量,在手动测量时,移动更方便。If the telescopic rod of the third branch is arranged vertically, the connection point between the first and second branches and the third branch can also be on the telescopic rod shell, so that the core of the third branch does not bear the weight of the first and second branches. It is more convenient to move when measuring manually.
附图说明Description of drawings
图1是本发明用于三坐标测量的总体结构示意图;Fig. 1 is the overall structure schematic diagram that the present invention is used for three-coordinate measurement;
图2是本发明用于装配机器人的总体结构示意图;Fig. 2 is the overall structure schematic diagram that the present invention is used for assembly robot;
具体实施方式Detailed ways
实施例一:三自由度空间运动机构用于三坐标测量如图1所示,三坐标测量机结构由机架1、球铰2、球铰7、球铰8和球铰9,虎克(十字)铰4,第一分支伸缩连杆3、第二分支伸缩连杆6、第三分支的伸缩连杆5以及测头10组成。伸缩连杆3呈横向、伸缩连杆6呈纵向、伸缩连杆5呈竖向布置,伸缩连杆5的上端用十字铰4铰接在机架1上,伸缩连杆3和伸缩连杆6的一端通过球铰2和球铰7固定在机架1上,另一端也通过球铰8和球铰9与伸缩连杆5的杆芯连接,形成封闭结构,伸缩连杆5的下端固定接触式测头,测头中心与虎克铰4、球铰8和球铰9的中心在一条直线上。但固定在机架1上的球铰2、球铰7和虎克铰4应构成一个平面,伸缩连杆3、伸缩连杆5和伸缩连杆6的长度通过光栅尺等位移传感器进行测量。Embodiment 1: The three-degree-of-freedom space motion mechanism is used for three-coordinate measurement. As shown in Figure 1, the structure of the three-coordinate measuring machine consists of a
通过三个杆的长度和三个机架铰点的中心位置,可以确定球铰9的中心点的空间坐标,根据比例关系进一步确定,测头中心的空间位置,实现三坐标测量。利用该测量机构可以制成手动简易坐标测量机,当然如伸缩杆可主动伸缩即可实现机动和自动测量。Through the lengths of the three rods and the center positions of the three frame hinge points, the spatial coordinates of the center point of the
该机构的优点在于:铰关节的间隙容易消除,杆长的精确测量比较容易,伸缩连杆3和伸缩连杆6的直线度对最终测量结果影响很小,因此可达到很高的测量位置重复精度,有利于铰点空间坐标和杆长的误差标定。由此可见机构并不需要太高的加工精度,只需要消除铰的间隙,通过认真标定,从而实现较高的测量精度,与正交机构三坐标测量机相比,简单,轻巧,容易在生产现场得到推广。The advantages of this mechanism are: the gap of the hinge joint is easy to eliminate, the precise measurement of the rod length is relatively easy, and the straightness of the
实施例二:三自由度空间运动机构用于装配机器人Embodiment 2: Three-degree-of-freedom space motion mechanism is used for assembly robot
如图2所示,机器人结构由机架1、球铰2、球铰7、球铰8和球铰9,虎克铰4,伸缩连杆3、伸缩连杆5和伸缩连杆6,单自由度转动关节11,转动杆12,单自由度转动关节13,摆动杆14和手爪15组成。其中机架1可以是生产现场的稳定结构,也可以是其它结构。其结构特征是:伸缩连杆3呈横向、伸缩连杆5呈竖向、伸缩连杆6呈纵向布置,伸缩连杆5的上端用虎克铰4铰接在机架上,伸缩连杆3、伸缩连杆6的一端通过球铰2和球铰9固定在机架1上,另一端也通过球铰8和球铰9与伸缩连杆5的杆芯连接,形成封闭结构,伸缩连杆5的自由端通过单自由度转动关节11连接与伸缩连杆5同轴线的转动杆12,转动杆12的下端通过转动关节13连接摆动杆14,摆动杆14的另一端固定手爪15。摆动轴线与转动杆12的轴线垂直相交,伸缩杆3、伸缩杆5和伸缩杆6的长度、转动杆12相对伸缩杆5的回转角度及伸缩连杆3相对转动杆12的摆动角度均可以控制和测量。As shown in Figure 2, the robot structure consists of a
通过三个杆的长度测量作为三维空间精确位置反馈,可使球铰9的中心点位于指定的空间位置,完成机械手大尺度的精确定位,杆3和杆6的直线度误差对定位精度的影响很小,因此该机构有并联机构的大部分优点,但位置在线计算非常简单。进一步控制关节11和关节13的转动角度,实现手爪的姿态控制。由于转动杆12和摆动杆14只需要很小的长度,因此手爪15的位置和姿态控制的误差也较小。By measuring the length of the three rods as the accurate position feedback in three-dimensional space, the center point of the ball joint 9 can be located at the specified spatial position, and the large-scale precise positioning of the manipulator can be completed. The influence of the straightness error of
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CN103954233B (en) * | 2014-04-28 | 2016-07-13 | 济南大学 | A curved surface profile measuring device for large workpieces |
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