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CN1095417C - Six-freedom parallel mechanism with triaxial nearly orthogonal - Google Patents

Six-freedom parallel mechanism with triaxial nearly orthogonal Download PDF

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CN1095417C
CN1095417C CN00102901A CN00102901A CN1095417C CN 1095417 C CN1095417 C CN 1095417C CN 00102901 A CN00102901 A CN 00102901A CN 00102901 A CN00102901 A CN 00102901A CN 1095417 C CN1095417 C CN 1095417C
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table body
driving rods
directions
moving table
axis
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CN1263807A (en
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廖启征
粱崇高
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Beijing University of Posts and Telecommunications
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Abstract

一种三轴近似正交的六自由度并联机构,包括有:静台体,动台体和六根驱动杆,该六根驱动杆的长度伸缩可变,且其中每个驱动杆都通过其两端各自的球铰或万向节分别与静台体、动台体相铰接;该六根驱动杆的方向分别位于x,y,z三个正交方向或近似正交的方向,且每个方向各有两根驱动杆;其特征在于:上述六根驱动杆与动台体铰接的六个球铰可以分别位于六面体的六个面的中心位置。此时,其x、y、z三轴是解耦的,所以调节简单,控制容易,用途广泛。

A three-axis approximately orthogonal six-degree-of-freedom parallel mechanism, including: a static table body, a moving table body and six driving rods, the length of the six driving rods is variable, and each of the driving rods passes through its two ends The respective spherical joints or universal joints are respectively hinged with the static table body and the dynamic table body; the directions of the six driving rods are respectively located in three orthogonal or approximately orthogonal directions of x, y, and z, and each direction has its own There are two driving rods; the characteristic is that the six spherical joints that are hinged between the six driving rods and the moving table body can be respectively located at the centers of the six faces of the hexahedron. At this time, its x, y, and z axes are decoupled, so the adjustment is simple, the control is easy, and the application is extensive.

Description

三轴近似正交的六自由度并联机构Three-axis near-orthogonal six-degree-of-freedom parallel mechanism

本发明涉及一种结构新颖的调节空间位置的机械结构,确切地说,涉及一种三轴近似正交的六自由度并联机构。该机构可以应用于金属加工机床,以及力与力矩的传感器等领域。The invention relates to a mechanical structure for adjusting the spatial position with a novel structure, more precisely, it relates to a three-axis approximately orthogonal six-degree-of-freedom parallel mechanism. The mechanism can be applied to fields such as metal processing machine tools, sensors of force and torque, and the like.

并联机构可以应用于两个刚性物体相对位置的调节。一般情况下两个刚体的相对位置可以采用沿x,y,z轴方向的三个移动和绕x,y,z轴的三个转动来表示,共六个自由度。并联机构起源于斯图尔特平台机构(Stewart Platform),参见图1,图2,该机构通常是由3-6根可伸缩调节的杆件1’,以及在这些杆件的两端分别用球铰(即:球面付)2’或万向连轴节(即:虎各铰或球销付或转动付铰链)连接两个刚体3’、4’所构成。通常,该两个刚体中的一个是静止不动的,被称为静平台或静台体3’一般作为机架使用,另一个是运动的,可以完成各种操作,通常称为动平台或动台体4’。最初的斯图尔特平台机构中,其动、静两个刚体都是平面的,或者说所有联接杆件1’与刚体3’或杆件1’与刚体4’的铰链2’都处在一个平面上。后来开始出现使用空间的台体式机构,即铰链2’不都在同一平面上,这是一般的并联机构。并联机构在工业上有很多应用,如做机械手,位置调节机构,力与力矩的传感器,游乐场的动感平台等等。最近人们用它来做虚拟轴机床或简称虚轴机床。这样的机床具有很多特殊的优点,如结构简单,刚度大、控制精度高、传动速度快等,具有很高的性能价格比,被称为21世纪的机床。Parallel mechanism can be applied to adjust the relative position of two rigid objects. In general, the relative position of two rigid bodies can be represented by three movements along the x, y, and z axes and three rotations around the x, y, and z axes, with a total of six degrees of freedom. The parallel mechanism originated from the Stewart Platform mechanism (Stewart Platform), see Fig. 1, Fig. 2, the mechanism is usually composed of 3-6 telescopically adjustable rods 1', and ball hinges ( That is: the spherical surface) 2' or the universal joint (that is: each hinge or the ball pin or the rotating hinge) connects two rigid bodies 3', 4' to form. Usually, one of the two rigid bodies is stationary and is called a static platform or a static platform. Moving table body 4'. In the original Stewart platform mechanism, the dynamic and static rigid bodies are both planar, or all the hinges 2' connecting the rod 1' and the rigid body 3' or the rod 1' and the rigid body 4' are on the same plane . Later on, a space-using platform-type mechanism began to appear, that is, the hinges 2' are not all on the same plane, which is a general parallel mechanism. Parallel mechanisms have many applications in industry, such as manipulators, position adjustment mechanisms, force and moment sensors, dynamic platforms for playgrounds, etc. Recently people use it as a virtual axis machine tool or virtual axis machine tool for short. This kind of machine tool has many special advantages, such as simple structure, high rigidity, high control precision, fast transmission speed, etc., and has a high performance-price ratio, and is called the machine tool of the 21st century.

对于象虚轴机床、力与力矩的传感器、位置调节机构等应用场合,采用什么样的位置调节机械结构,才能得到综合性能尽可能优良的机构,是一个十分重要的问题。现在,人们普遍认为从自变量为6个驱动变量到函数为动台体位置姿态6个变量之间转换的雅可比行列式的条件数越小越好,理论上最小条件数为1。然而人们对于什么样的机构才能满足其条件数为1,也就是说并联机构中刚体上的铰链在空间应该如何分布才是最合理,并不清楚。甚至到目前为止,还没有得到确切的结论。For applications such as virtual axis machine tools, force and torque sensors, and position adjustment mechanisms, it is a very important issue to use what kind of position adjustment mechanical structure to obtain a mechanism with the best overall performance. Now, it is generally believed that the smaller the condition number of the Jacobian determinant for the transformation from the independent variable of 6 driving variables to the function of the six variables of the position and attitude of the moving platform, the better, and the theoretical minimum condition number is 1. However, people are not clear about what kind of mechanism can satisfy its condition number to be 1, that is to say, how the hinges on the rigid body in the parallel mechanism should be distributed in space is the most reasonable. Even so far, no definite conclusions have been drawn.

本发明的主要目的是提供一种三轴近似正交的六自由度并联机构;也就是提供一种满足上述雅可比行列式的条件数为最小的台体式机构。The main purpose of the present invention is to provide a three-axis approximately orthogonal six-degree-of-freedom parallel mechanism; that is, to provide a table-type mechanism that satisfies the Jacobian determinant with the minimum condition number.

本发明的主要目的是这样实现的:一种三轴近似正交的六自由度并联机构,包括有:静台体,动台体和六根驱动杆,该六根驱动杆的长度伸缩可变,且其中每个驱动杆都通过其两端各自的球铰或万向节分别与静台体、动台体相铰接;该六根驱动杆的方向分别位于x,y,z三个正交方向或近似正交的方向,且每个方向各有两根驱动杆;其特征在于:上述六根驱动杆与动台体铰接的六个球铰可以分别位于六面体的六个面的中心位置。The main purpose of the present invention is achieved like this: a kind of three-axis approximately orthogonal parallel mechanism with six degrees of freedom includes: a static platform body, a dynamic platform body and six driving rods, the length of the six driving rods is variable, and Each of the driving rods is respectively hinged with the static table body and the dynamic table body through the respective spherical joints or universal joints at both ends; the directions of the six driving rods are respectively located in the three orthogonal directions of x, y, z or approximately Orthogonal directions, and each direction has two drive rods; it is characterized in that: the six ball joints that are hinged between the six drive rods and the moving table body can be respectively located at the centers of the six faces of the hexahedron.

下面结合附图详细说明本发明的结构、特征及功效。The structure, features and effects of the present invention will be described in detail below in conjunction with the accompanying drawings.

图1是一种斯图尔特平台机构的结构示意图。Fig. 1 is a structural schematic diagram of a Stewart platform mechanism.

图2是另一种斯图尔特平台机构的结构示意图。Fig. 2 is a structural schematic diagram of another Stewart platform mechanism.

图3是本发明的动台体与驱动杆组合起来的一种实施例示意图。Fig. 3 is a schematic diagram of an embodiment of the combination of the moving table body and the driving rod of the present invention.

图4是图3中增加静台体后的示意图。FIG. 4 is a schematic diagram of adding a static platform in FIG. 3 .

图5是本发明的动台体与驱动杆组合起来的另一种实施例示意图。Fig. 5 is a schematic diagram of another embodiment of the combination of the moving table body and the driving rod of the present invention.

图6是图5中增加静台体后的示意图。FIG. 6 is a schematic diagram of adding a static platform in FIG. 5 .

图7是本发明的又一种实施例示意图。该机构经过一定角度的旋转,使得其对角线指向竖直方向,此时驱动杆件不再与x,y,z轴平行。Fig. 7 is a schematic diagram of another embodiment of the present invention. The mechanism is rotated through a certain angle so that its diagonal points to the vertical direction, and the drive rod is no longer parallel to the x, y, z axes.

图8是本发明的再一种实施例示意图。Fig. 8 is a schematic diagram of another embodiment of the present invention.

参见图3、图4所示的本发明的一种实施例示意图。本发明是一种三轴近似正交的六自由度并联机构,其包括有:静台体3,动台体4和六根驱动杆1,该六根驱动杆1的长度都是伸缩可变的,且其中每个驱动杆1都通过其两端各自的球铰2分别与静台体3、动台体4相铰接,其特点是:上述六根驱动杆1分别位于x,y,z三个正交方向,且每个方向各有两根驱动杆1。Refer to the schematic diagrams of an embodiment of the present invention shown in FIG. 3 and FIG. 4 . The present invention is a three-axis approximately orthogonal six-degree-of-freedom parallel mechanism, which includes: a static table body 3, a moving table body 4 and six driving rods 1, the lengths of the six driving rods 1 are all telescopically variable, And wherein each driving rod 1 is respectively hinged with the static table body 3 and the moving table body 4 through the respective ball joints 2 at its two ends, and its characteristic is that the above-mentioned six driving rods 1 are respectively located at three positive positions of x, y, and z. There are two driving rods 1 in each direction.

图3所示上述位于六根驱动杆1空间中心位置的动台体4是个六面体,且该六根驱动杆1中的每一个球铰2都分别位于上述动台体4的各个表面上。动台体4通过六个球铰2与六根长度可变的驱动杆1相联接,该六根驱动杆1再通过其另一端的另外六个球铰2与静台体3相联接。图4所示的长条状的刚体即表示静台体3或机架,在x,y,z三个方向的每个方向上都有两根驱动杆。当动台体在中心位置即图3或图4所示位置时,上述x,y,z三个方向的驱动杆互相正交,其条件数为1,即达到了雅可比行列式的最小值。在这个最小值附近,即x,y,z三个方向的驱动杆互相呈近似正交时,虽然其条件数略大于1但其值仍然较小。因此采用这种机构具有一些特殊的优点。As shown in FIG. 3 , the moving table body 4 located at the space center of the six driving rods 1 is a hexahedron, and each spherical joint 2 in the six driving rods 1 is respectively located on each surface of the moving table body 4 . The moving table body 4 is connected with six variable-length drive rods 1 through six ball joints 2, and the six drive rods 1 are connected with the static table body 3 through other six ball joints 2 at the other ends thereof. The elongated rigid body shown in FIG. 4 represents the static platform body 3 or the frame, and there are two driving rods in each of the three directions of x, y, and z. When the moving table body is at the center position as shown in Figure 3 or Figure 4, the driving rods in the above three directions of x, y, and z are orthogonal to each other, and the condition number is 1, that is, the minimum value of the Jacobian is reached . Near this minimum value, that is, when the driving rods in the three directions of x, y, and z are approximately orthogonal to each other, although the condition number is slightly greater than 1, its value is still small. Therefore, the use of this mechanism has some special advantages.

首先本发明的机构在其中心位置上,对于x,y,z轴方向的三个移动和绕x,y,z轴的三个转动互相解耦。众所周知,一般情况下,两个刚体的相对位置可以采用沿x,y,z三个方向的移动和绕x,y,z三轴的转动来表示,共六个自由度。在一般的并联机构中,当其中某个方向的驱动改变时,会同时引起动台体的另外两个方向的移动和动台体的转动,这种现象称为运动之间的耦合,例如当希望动台体纯粹沿x方向运动时,不仅需要沿x轴方向的驱动器工作,而且需要y,z两个方向的驱动器同时协调配合运动;或者说仅有一、两个驱动器工作不能得到纯粹沿x方向运动。本发明的台体式机构在其中心位置上,由于x,y,z三轴互相垂直正交,因此对x,y,z三轴是解耦的。也就是说,动台体沿x轴运动时,另外两个方向y,z的四根驱动器可以不调节或很少调节即可。First, the mechanism of the present invention is decoupled from each other for the three movements in the directions of x, y, and z axes and the three rotations around the x, y, and z axes at its central position. As we all know, in general, the relative position of two rigid bodies can be represented by the movement along the three directions of x, y, and z and the rotation around the three axes of x, y, and z, with a total of six degrees of freedom. In a general parallel mechanism, when the drive in one direction changes, it will simultaneously cause the movement of the other two directions of the moving table body and the rotation of the moving table body. This phenomenon is called the coupling between motions. For example, when It is hoped that when the moving table body moves purely along the x direction, not only the driver along the x-axis direction is required, but also the drivers in the y and z directions are required to coordinate and cooperate at the same time; or only one or two drivers can not be purely along the x axis direction movement. In the central position of the platform-type mechanism of the present invention, since the three axes x, y, and z are perpendicular to each other, the three axes x, y, and z are decoupled. That is to say, when the moving table body moves along the x-axis, the four drivers in the other two directions y and z can be left unadjusted or seldom adjusted.

本发明的并联机构作为位置调节机构,在实际使用时,是很方便的。当以同速、同方向调节x轴向的两个驱动时,动台体沿x轴方向平动。当该两个驱动同速反方向运动时,动台体则绕z轴转动。因为这两个驱动杆的运动而引起其他轴向的运动量很小或为零,所以为了得到纯粹的沿x轴的移动或绕z轴的转动,其他两个方向的四个驱动杆或驱动副的驱动量可以很小或为零(即高阶无穷小)。并且,当沿y轴或z轴移动,或绕x轴或y轴转动时,情况完全类似。所以,本发明的动台体在上述中心位置附近,三个方向近似解耦。因此在一些要求不严格的场合,各个方向的位置和转角可以分别调节,因此调节很方便。另外,由于三个方向的调节呈正交或近似正交,各个方向的对于调节的灵敏度也比较均衡。As a position adjustment mechanism, the parallel mechanism of the present invention is very convenient in actual use. When the two drives in the x-axis are adjusted at the same speed and in the same direction, the moving table body moves in translation along the x-axis. When the two drives move in opposite directions at the same speed, the moving table body rotates around the z-axis. Because of the movement of these two driving rods, the movement in other axes is very small or zero, so in order to obtain pure movement along the x-axis or rotation around the z-axis, the four driving rods or drive pairs in the other two directions The driving amount of can be very small or zero (that is, high-order infinitesimal). And, it's exactly the same when moving along the y-axis or z-axis, or turning around the x-axis or y-axis. Therefore, the moving table body of the present invention is approximately decoupled in three directions near the above-mentioned central position. Therefore, in some occasions where the requirements are not strict, the position and rotation angle of each direction can be adjusted separately, so the adjustment is very convenient. In addition, since the adjustments in the three directions are orthogonal or approximately orthogonal, the sensitivities to the adjustments in each direction are relatively balanced.

其次,把机构中的六个驱动杆改为长度固定的杆,并在每个驱动杆上面加上一个传感器,可以把本发明变换为一个力与力矩的传感器。这种传感器可以自然地把三个方向的力和力矩分开。例如:当只有x轴方向受力时,则仅沿x轴的两个传感器有输出,其值为两个传感器的和。当只有绕z轴有力矩时,则仅沿x轴的一对传感器有输出,其值为该对传感器之差乘以该对驱动杆之间的距离。由于动台体的位移量很小,所以具有相当高的精度。Secondly, change the six driving rods in the mechanism into length-fixed rods, and add a sensor on each driving rod, the present invention can be transformed into a sensor of force and torque. This sensor can naturally separate forces and moments in three directions. For example: when there is only force in the direction of the x-axis, only the two sensors along the x-axis have output, and the value is the sum of the two sensors. When there is only torque around the z-axis, only a pair of sensors along the x-axis has an output, which is the difference between the pair of sensors multiplied by the distance between the pair of driving rods. Because the displacement of the moving table body is very small, it has a very high precision.

本发明的机构如果用在虚拟轴数控机床上也有一些特殊的优点。因为其条件数近似为1,属于最理想的状态。因此在同样情况下,加工精度高,机床工作空间大,可以达到的工作速度高等等,是一种具有很好应用前景的机床结构形式。The mechanism of the present invention also has some special advantages if it is used on a virtual axis numerical control machine tool. Because its condition number is approximately 1, it belongs to the most ideal state. Therefore, under the same circumstances, the machining accuracy is high, the machine tool has a large working space, and the attainable working speed is high, etc., which is a machine tool structure form with good application prospects.

由于本发明的机构运动解耦的位置是在动台体的中心,处于几个球铰的包围之中,故作为虚轴机床或其他用途时,应用不甚方便。因此本发明可以作些改进,即将上述六根驱动杆两两成组的铰接在上述动台体的三个呈x,y,z正交的表面上,参见图5,图6所示。其中图5是动台体4和驱动杆1以及球铰2的结构布局示意图,加上静台体3后,则如图6所示。此时,动台体4位于该六根驱动杆1的一侧,采用该种结构,当动台体在其中心位置时,雅可比行列式的条件数仍为1。但在作纯转动时其调节规律是不同的。Since the motion decoupling position of the mechanism of the present invention is at the center of the moving table body and surrounded by several spherical joints, it is not very convenient to use as a virtual axis machine tool or for other purposes. Therefore, some improvements can be made in the present invention, that is, the above-mentioned six driving rods are hinged in groups of two on the three surfaces of the above-mentioned movable table body that are perpendicular to x, y, and z, as shown in Fig. 5 and Fig. 6 . 5 is a schematic diagram of the structural layout of the moving table body 4 , the driving rod 1 and the ball joint 2 , and after adding the static table body 3 , it is shown in FIG. 6 . At this time, the moving table body 4 is located on one side of the six driving rods 1. With this structure, when the moving table body is at its center position, the condition number of the Jacobian is still 1. However, its adjustment law is different when doing pure rotation.

如果把本发明的机构旋转一个角度,使动台体的一条对角线转成竖直方向,且把静台体稍做改变,参见图7。可以看出它与现在的虚轴机床已经很相似了。只不过其驱动杆的方向是互相正交或近似正交的,并且球铰的分布是特殊的。正是由于具有这些特点,使得机床具有加工精度高,机床工作空间大,可以达到的工作速度高等优点。如果把z轴选择为竖直方向,则三个正交方向不再是x,y,z轴,而仅是在中心位置时的三个驱动杆方向了。If the mechanism of the present invention is rotated at an angle, a diagonal line of the moving table body is turned into a vertical direction, and the static table body is slightly changed, as shown in Fig. 7 . It can be seen that it is very similar to the current virtual axis machine tool. It's just that the directions of the driving rods are mutually orthogonal or approximately orthogonal, and the distribution of the spherical joints is special. It is precisely because of these characteristics that the machine tool has the advantages of high machining accuracy, large working space and high working speed. If the z axis is selected as the vertical direction, then the three orthogonal directions are no longer x, y, and z axes, but only the directions of the three driving rods at the center position.

本发明的机构还可以有其它变形。如图8所示,每对球铰2之间的六个腿1的长度是固定的,并把调节长度的六个滑动副5及其驱动杆安装在机架3上,同样可以达到调节动台体4位置的目的。此时,自由度仍然是六个,仍然保持了在中心位置条件数为1的优点,但在计算其正反解时,计算方法、计算公式是不相同的。Other variants of the mechanism of the present invention are also possible. As shown in Figure 8, the lengths of the six legs 1 between each pair of ball joints 2 are fixed, and the six sliding pairs 5 and their driving rods for adjusting the length are installed on the frame 3, which can also achieve the adjustment The purpose of the platform body 4 position. At this time, there are still six degrees of freedom, and the advantage of the condition number being 1 at the center is still maintained. However, when calculating the positive and negative solutions, the calculation methods and calculation formulas are different.

Claims (1)

1、一种三轴近似正交的六自由度并联机构,包括有:静台体,动台体和六根驱动杆,该六根驱动杆的长度伸缩可变,且其中每个驱动杆都通过其两端各自的球铰或万向节分别与静台体、动台体相铰接;该六根驱动杆的方向分别位于x,y,z三个正交方向或近似正交的方向,且每个方向各有两根驱动杆;其特征在于:上述六根驱动杆与动台体铰接的六个球铰可以分别位于六面体的六个面的中心位置。1. A three-axis approximately orthogonal six-degree-of-freedom parallel mechanism, including: a static table body, a moving table body and six driving rods, the length of the six driving rods is variable, and each of the driving rods passes through its The respective spherical joints or universal joints at both ends are respectively hinged with the static table body and the dynamic table body; the directions of the six driving rods are respectively located in the three orthogonal or approximately orthogonal directions of x, y, and z, and each There are two driving rods in each direction; the feature is that the six spherical joints that are hinged between the six driving rods and the moving table body can be respectively located at the centers of the six faces of the hexahedron.
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