CN108393928B - Multi-rigid body-finite element hybrid analysis method for contact collision of flexible robot manipulators - Google Patents
Multi-rigid body-finite element hybrid analysis method for contact collision of flexible robot manipulators Download PDFInfo
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Abstract
Description
技术领域technical field
本发明属于接触碰撞分析技术,具体涉及一种柔性机器人机械臂接触碰撞的多刚体-有限元混合分析方法。The invention belongs to the contact collision analysis technology, in particular to a multi-rigid body-finite element hybrid analysis method for the contact collision of a flexible robot manipulator.
背景技术Background technique
随着科技的发展,机器人机械臂已经广泛的应用于各个领域中,如:航空航天、深海探测、工业、农业等。接触碰撞也是机械臂在工程及生活应用中常见的问题。With the development of science and technology, robotic arms have been widely used in various fields, such as: aerospace, deep-sea exploration, industry, agriculture, etc. Contact collision is also a common problem of robotic arms in engineering and life applications.
接触碰撞与人类的生活息息相关,对人类的生产生活有利有弊,如:走路时脚部和地面的摩擦冲击,空间探测器交会对接过程中的接触碰撞,汽车的刹车和碰撞等问题。在处理接触碰撞问题时,更多的还是为了消除接触碰撞的不利的影响,比如降低机械结构的磨损,提高机械的使用寿命,避免能量的额外损耗。很早以前就有相关的学者对于接触碰撞的问题进行了研究,也得到了许多相关的理论,并且广泛的应用到了机械领域。但是接触碰撞的过程,是非常一个复杂的过程,现在仍然有许多的疑难仍未解决。Contact collision is closely related to human life, and has advantages and disadvantages for human production and life, such as: the frictional impact of feet and the ground when walking, the contact collision during the rendezvous and docking process of space probes, and the braking and collision of cars. When dealing with the contact collision problem, it is more to eliminate the adverse effects of the contact collision, such as reducing the wear of the mechanical structure, improving the service life of the machine, and avoiding the additional loss of energy. A long time ago, related scholars have studied the problem of contact collision, and obtained many related theories, which are widely used in the field of machinery. However, the process of contact and collision is a very complicated process, and there are still many problems that remain unsolved.
在进行接触碰撞分析的相关研究中,描述动态接触问题的简单方法采用刚体算法,不考虑物体的变形。采用刚体算法虽然计算时间较短,但是需要引入恢复系数,而且刚体算法的计算精度较低,不能得到接触区域的变形或则是应力波。In the related research for contact collision analysis, a simple method to describe the dynamic contact problem adopts rigid body algorithm, which does not consider the deformation of the object. Although the calculation time of the rigid body algorithm is shorter, it needs to introduce the restitution coefficient, and the calculation accuracy of the rigid body algorithm is low, and the deformation of the contact area or the stress wave cannot be obtained.
复杂方法视物体为变形体,采用弹性算法,用有限元法或边界元法计算。采用弹性算法虽然计算的精度较高而且能够得到一些刚体算法中得不到的数据,但是计算量很大,而且往往由于计算量过大而无法得到结果。The complex method regards the object as a deformable body, adopts the elastic algorithm, and calculates it with the finite element method or the boundary element method. Although the elastic algorithm has high calculation accuracy and can obtain some data that cannot be obtained in the rigid body algorithm, the calculation amount is very large, and the results are often not obtained due to the excessive calculation amount.
发明内容SUMMARY OF THE INVENTION
本发明的目的在于提供柔性机器人机械臂接触碰撞的多刚体-有限元混合分析方法,解决了现有机器人机械臂接触碰撞问题有限元分析计算效率低和计算精度低的问题。The purpose of the present invention is to provide a multi-rigid body-finite element hybrid analysis method for contact collision of a flexible robot manipulator, which solves the problems of low calculation efficiency and low calculation accuracy of finite element analysis of the contact collision problem of the existing robot manipulator.
实现本发明目的的技术解决方案为:一种柔性机器人机械臂接触碰撞的多刚体-有限元混合分析方法,方法步骤如下:The technical solution to achieve the purpose of the present invention is: a multi-rigid body-finite element hybrid analysis method for contact collision of a flexible robot manipulator, the method steps are as follows:
步骤1、利用等效单元模拟柔性机器人机械臂的有限元模型中的螺栓和弹簧,具体步骤如下:
步骤S1,建立柔性机器人机械臂的三维CAD模型;Step S1, establishing a three-dimensional CAD model of the flexible robot arm;
步骤S2,将已建立的三维CAD模型进行校核;Step S2, checking the established 3D CAD model;
步骤S3,将所述步骤S1中获得的三维CAD模型导入到Hypermesh前处理环境中;Step S3, import the three-dimensional CAD model obtained in the step S1 into the Hypermesh preprocessing environment;
步骤S4,将步骤S1中获得的三维CAD模型中的铰接螺栓和弹簧删除,并将剩余的机械臂部分进行网格的划分;Step S4, the hinge bolts and springs in the three-dimensional CAD model obtained in step S1 are deleted, and the remaining part of the mechanical arm is divided into meshes;
步骤S5,在步骤S4中删除的铰接螺栓的位置处建立转动铰接单元,同时在该处建立弹簧单元;In step S5, a rotating hinge unit is established at the position of the hinge bolt deleted in step S4, and a spring unit is established there;
步骤S6,定义机械臂部分和弹簧单元的单元属性和材料参数,并赋予给它们;Step S6, define the unit properties and material parameters of the manipulator part and the spring unit, and assign them to them;
步骤S7,添加载荷和约束,生成用非线性有限元求解器求解的K文件,转入步骤2。Step S7, add loads and constraints, generate a K file solved by a nonlinear finite element solver, and go to
步骤2、在计算过程中,柔性机器人机械臂未接触时采用刚体算法进行多刚体/有限元混合分析;接触时采用变形体算法进行多刚体/有限元混合分析。其中,刚性算法和变形体算法转换的具体步骤如下:
步骤S8,通过计算确定开始接触时间和接触分离的时间;Step S8, determining the start contact time and the contact separation time by calculation;
步骤S9,打开步骤S7所述生成的K文件,进行修改,加入用于刚体和变形体转换的语句,生成新的K文件;Step S9, open the K file generated described in step S7, modify, add a statement for rigid body and deformable body conversion, and generate a new K file;
步骤S10,将步骤S9中生成的新的K文件导入到非线性有限元求解器进行分析和数据处理。Step S10, import the new K file generated in step S9 into the nonlinear finite element solver for analysis and data processing.
本发明与现有技术相比,其显著优点在于:利用等效单元模拟有限元模型中的铰接螺栓和弹簧,在接触区域进行局部更加细致的处理。在计算过程中,机械臂未接触时采用机械臂采用刚体算法,接触时采用变形体算法进行多刚体-有限元混合分析。在对机器人机械臂接触碰撞进行分析时,只需要通过改变K文件,就可以实现刚体和变形体的转换,减少了重复性的工作,减少了技术时间,提升了工作效率。Compared with the prior art, the present invention has a significant advantage in that the joint bolts and springs in the finite element model are simulated by using equivalent elements, and more detailed local treatment is performed in the contact area. In the calculation process, when the manipulator is not in contact, the rigid body algorithm is used for the manipulator, and the deformable body algorithm is used for multi-rigid-finite element hybrid analysis when it is in contact. When analyzing the contact collision of the robot arm, the conversion of rigid body and deformable body can be realized only by changing the K file, which reduces repetitive work, reduces technical time, and improves work efficiency.
附图说明Description of drawings
图1是本发明优选实施例提供的柔性机器人机械臂接触碰撞的多刚体-有限元混合分析方法的流程图。FIG. 1 is a flowchart of a multi-rigid body-finite element hybrid analysis method for contact collision of a flexible robot manipulator provided by a preferred embodiment of the present invention.
图2是本发明优选实施提供的弹簧单元的节点及坐标图。FIG. 2 is a node and coordinate diagram of a spring unit provided by a preferred implementation of the present invention.
图3是本发明优选实施例提供的柔性机器人机械臂提供的有限元模型。FIG. 3 is a finite element model provided by the flexible robot manipulator provided by the preferred embodiment of the present invention.
具体实施方式Detailed ways
下面结合附图对本发明作进一步详细描述。The present invention will be described in further detail below with reference to the accompanying drawings.
结合图1,一种柔性机器人机械臂接触碰撞的多刚体-有限元混合分析方法,方法步骤如下:Referring to Figure 1, a multi-rigid body-finite element hybrid analysis method for contact collision of a flexible robot manipulator, the method steps are as follows:
步骤1、利用等效单元模拟柔性机器人机械臂的有限元模型中的螺栓和弹簧,其中等效单元包括一个转动铰接单元和一个弹簧单元,转动铰接单元模拟有限元模型的铰接螺栓,弹簧单元模拟有限元模型中的弹簧,具体方法如下:
步骤S1,建立柔性机器人机械臂的三维CAD模型;Step S1, establishing a three-dimensional CAD model of the flexible robot arm;
步骤S2,将已建立的三维CAD模型进行校核;Step S2, checking the established 3D CAD model;
步骤S3,将所述步骤S1中获得的三维CAD模型导入到Hypermesh前处理环境中;Step S3, import the three-dimensional CAD model obtained in the step S1 into the Hypermesh preprocessing environment;
步骤S4,将步骤S1中获得的三维CAD模型中的铰接螺栓和弹簧删除,并将剩余的机械臂部分进行网格的划分;Step S4, the hinge bolts and springs in the three-dimensional CAD model obtained in step S1 are deleted, and the remaining part of the mechanical arm is divided into meshes;
步骤S5,在步骤S4中删除的铰接螺栓的位置处建立转动铰接单元,同时在该处建立弹簧单元;In step S5, a rotating hinge unit is established at the position of the hinge bolt deleted in step S4, and a spring unit is established there;
步骤S6,定义机械臂部分和弹簧单元的单元属性和材料参数,并赋予给它们;Step S6, define the unit properties and material parameters of the manipulator part and the spring unit, and assign them to them;
步骤S7,添加载荷和约束,生成用非线性有限元求解器求解的K文件,转入步骤2。Step S7, add loads and constraints, generate a K file solved by a nonlinear finite element solver, and go to
步骤2、在计算过程中,柔性机器人机械臂未接触时采用刚体算法进行多刚体/有限元混合分析;接触时采用变形体算法进行多刚体/有限元混合分析,具体步骤如下:
步骤S8,通过计算确定开始接触时间和接触分离的时间;Step S8, determining the start contact time and the contact separation time by calculation;
步骤S9,打开步骤S7所述生成的K文件,进行修改,加入用于刚体和变形体转换的语句,生成新的K文件;所述刚体和变形体之间转换的K文件中的关键字如下:Step S9, open the K file generated in step S7, modify it, add a statement for the conversion of rigid body and deformable body, and generate a new K file; the keywords in the K file converted between the rigid body and the deformed body are as follows :
*DEFORMABLE_TO_RIGID_AUTOMATIC 。*DEFORMABLE_TO_RIGID_AUTOMATIC .
步骤S10,将步骤S9中生成的新的K文件导入到非线性有限元求解器进行分析和数据处理。Step S10, import the new K file generated in step S9 into the nonlinear finite element solver for analysis and data processing.
所述弹簧单元为扭转弹簧单元,其参数为刚度系数k和阻尼系数c。The spring unit is a torsion spring unit, and its parameters are stiffness coefficient k and damping coefficient c.
所述刚体算法的材料属性设置为刚体,变形体算法的材料设置为变形体或弹塑体。The material property of the rigid body algorithm is set to rigid body, and the material of the deformable body algorithm is set to deformable body or elastic-plastic body.
所述刚体与变形体采用同样的材料参数,刚体与弹塑体采用同样的材料参数。The rigid body and the deformable body use the same material parameters, and the rigid body and the elastic-plastic body use the same material parameters.
实施例1Example 1
如图3所示,所述柔性机器人机械臂的模块包括固定盘1、双连杆机械臂连接轴2、第一连杆3、弹簧4、铰接螺栓5、第二连杆6、滑动平板7。固定盘1固定在某一机构上,双连杆连接轴2一端与固定盘1固连,另一端与第一连杆3一端转动连接。第一连杆3另一端通过弹簧4和铰接轴5与第二连杆6的一端转动连接,第二连杆6另一端与滑动平板7接触。As shown in FIG. 3 , the module of the flexible robot arm includes a fixed
本实施例中,所述等效单元为一个转动铰接单元和一个弹簧单元,转动铰接单元模拟有限元模型的铰接螺栓,弹簧单元模拟有限元模型中的弹簧。如图2所示,弹簧单元的两端分别具有I节点和J节点,弹簧单元的参数还包括刚度系数k和阻尼系数c。在接触区域进行局部更加细致的处理;在计算过程中,机械臂未接触时采用机械臂采用刚体算法,接触时采用变形体算法进行多刚体/有限元混合分析。In this embodiment, the equivalent unit is a rotating hinge unit and a spring unit, the rotating hinge unit simulates the hinge bolt of the finite element model, and the spring unit simulates the spring in the finite element model. As shown in Figure 2, the two ends of the spring element have I nodes and J nodes respectively, and the parameters of the spring element also include stiffness coefficient k and damping coefficient c. Locally more detailed processing is performed in the contact area; in the calculation process, the rigid body algorithm is used for the robot arm when the robot arm is not in contact, and the multi-rigid body/finite element hybrid analysis is performed using the deformable body algorithm when the robot arm is in contact.
机械臂未发生接触时,所指的是接触前和接触后分离的两个阶段。When the manipulator is not in contact, it refers to two stages of separation before and after contact.
本发明所述的一种柔性机器人机械臂接触碰撞的多刚体-有限元混合分析方法,具体步骤如下:The multi-rigid body-finite element hybrid analysis method for the contact collision of a flexible robot manipulator according to the present invention, the specific steps are as follows:
步骤1、利用等效单元模拟柔性机器人机械臂的有限元模型中的螺栓和弹簧,其中等效单元包括一个转动铰接单元和一个弹簧单元,转动铰接单元模拟有限元模型的铰接螺栓,弹簧单元模拟有限元模型中的弹簧,具体方法如下:
步骤S1,建立柔性机器人机械臂的三维CAD模型;Step S1, establishing a three-dimensional CAD model of the flexible robot arm;
步骤S2,将已建立的三维CAD模型进行校核;Step S2, checking the established 3D CAD model;
步骤S3,将所述步骤S1中获得的三维CAD模型导入到Hypermesh前处理环境中;Step S3, import the three-dimensional CAD model obtained in the step S1 into the Hypermesh preprocessing environment;
步骤S4,将步骤S1中获得的三维CAD模型中的铰接螺栓和弹簧删除,并将剩余的机械臂部分进行网格的划分;Step S4, the hinge bolts and springs in the three-dimensional CAD model obtained in step S1 are deleted, and the remaining part of the mechanical arm is divided into meshes;
步骤S5,在步骤S4中删除的铰接螺栓的位置处建立转动铰接单元,同时在该处建立弹簧单元;In step S5, a rotating hinge unit is established at the position of the hinge bolt deleted in step S4, and a spring unit is established there;
步骤S6,定义机械臂部分和弹簧单元的单元属性和材料参数,并赋予给它们;Step S6, define the unit properties and material parameters of the manipulator part and the spring unit, and assign them to them;
步骤S7,添加载荷和约束,生成用非线性有限元求解器求解的K文件,转入步骤2。Step S7, add loads and constraints, generate a K file solved by a nonlinear finite element solver, and go to
步骤2、在计算过程中,柔性机器人机械臂未接触时采用刚体算法进行多刚体/有限元混合分析;接触时采用变形体算法进行多刚体/有限元混合分析,具体步骤如下:
步骤S8,通过计算确定开始接触时间和接触分离的时间;Step S8, determining the start contact time and the contact separation time by calculation;
步骤S9,打开步骤S7所述生成的K文件,进行修改,加入用于刚体和变形体转换的语句,生成新的K文件;所述刚体和变形体之间转换的K文件中的关键字如下:Step S9, open the K file generated in step S7, modify it, add a statement for the conversion of rigid body and deformable body, and generate a new K file; the keywords in the K file converted between the rigid body and the deformed body are as follows :
*DEFORMABLE_TO_RIGID_AUTOMATIC 。*DEFORMABLE_TO_RIGID_AUTOMATIC .
步骤S10,将步骤S9中生成的新的K文件导入到非线性有限元求解器进行分析和数据处理。Step S10, import the new K file generated in step S9 into the nonlinear finite element solver for analysis and data processing.
Hypermesh单元库中,弹簧单元具有轴向和扭转性能,利用该弹簧单元的扭转性能,弹簧单元在Hypermesh中名称为spring,使用时需要确定的参数有:刚度系数k和阻尼系数c由实际的弹簧的参数确定。In the Hypermesh unit library, the spring unit has axial and torsional properties. Using the torsional properties of the spring unit, the spring unit is named spring in Hypermesh. The parameters that need to be determined when using are: stiffness coefficient k and damping coefficient c are determined by the actual spring parameters are determined.
在Hypermesh中,将铰接螺栓删除,同时在铰接处建立转动铰接单元和弹簧单元。In Hypermesh, the hinge bolts are deleted, and a rotating hinge unit and a spring unit are established at the hinge.
为了分析柔性机器人机械臂接触碰撞,考虑到机械臂的接触前的运动时间相对于接触过程的时间较大,考虑到节省计算时间,接触前的机器人机械臂的运动可以用多刚体算法计算;碰撞引起的弹性振动由于材料阻尼将逐渐消失,物体运动主要表现为刚性运动,这时宜用多刚体算法计算;但是物体接触过程中,接触力频率很高幅值很大,物体的变形必须予以考虑,宜用有限元计算。因此可以通过LS-DYNA的K文件的修改,实现只在接触碰撞过程用变形体算法计算,其他运动过程用多刚体算法计算的目的。In order to analyze the contact collision of the flexible robot manipulator, considering that the motion time of the manipulator before the contact is relatively large compared to the time of the contact process, and considering the saving of calculation time, the motion of the manipulator before the contact can be calculated by the multi-rigid body algorithm; collision; The elastic vibration caused by the material will gradually disappear due to the damping of the material, and the motion of the object is mainly rigid motion. In this case, the multi-rigid body algorithm should be used for calculation. However, during the contact process of the object, the contact force has a high frequency and a large amplitude, and the deformation of the object must be considered. Finite element calculation should be used. Therefore, by modifying the K file of LS-DYNA, it is possible to use the deformable body algorithm to calculate only the contact collision process, and use the multi-rigid body algorithm to calculate other motion processes.
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