• CN:11-2187/TH
  • ISSN:0577-6686

›› 2010, Vol. 46 ›› Issue (23): 121-127.

• 论文 • 上一篇    下一篇

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锻造操作机顺应性能评价与优化方法

杨文玉;孟富明   

  1. 华中科技大学数字制造装备与技术国家重点实验室
  • 发布日期:2010-12-05

Evaluating and Optimization Method of Forging Manipulator Compliance

YANG Wenyu;MENG Fuming   

  1. The State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology
  • Published:2010-12-05

摘要: 研究操作机的刚度与顺应性能,基于雅可比矩阵的各时变线性关系项对机构的运动学性能进行分析,构造关节速度与操作空间速度变换项的均方差模型,建立运动性能评价矩阵,其中对角项为各速度变换项相对其平均值的波动程度,反对角项为速度变换的耦合程度,具有明确的物理意义。通过构造操作刚度矩阵各项元素的均方差变换模型,建立关节刚度与操作刚度变换的线性耦合度评价指标。建立Matlab程序计算某型操作机的速度变化和刚度耦合关系的函数曲面,对操作机运动性能和各方向顺应性能进行评价。研究操作机运动学参数的优化模型,计算得到了运动学近似解耦的某型操作机关键几何尺寸和关节位置,基于运动性能指标和顺应性能指标对运动学参数进行评价,对优化机构参数和原操作机参数进行对照。所获得的操作机运动性能和顺应性优化结果为操作机本体结构参数设计提供了一种有效的性能优化和评价方法。

关键词: 参数优化, 锻造操作机, 刚度, 解耦设计, 顺应性

Abstract: Stiffness and compliant motion characteristics of a manipulator are investigated, an evaluation model for coupling level of manipulating stiffness is proposed. Based on the analyses of time variety items in a Jacobian transformation matrix of manipulator’s kinematics, a mean square deviation based model of the items in Jacobi is constructed to describe characters of velocity transform relation between joint space and manipulating space, and an evaluation matrix for kinematics characters is presented. The meaning of those items on the cross is obviously, which describes the deviation range of linearity transform factor variation from average value, and coupling level of velocity transform between joint and manipulating space accordingly. A mean square deviation based model of the items in stiffness matrix in manipulation space is constructed, a capability index is presented to evaluate the coupling items in a linear transform between joint stiffness and manipulation stiffness. The velocity variety range and coupling level of manipulating stiffness for a kind of manipulator are computed and figured as the relation surfaces, an evaluation of the compliant motion performance is conducted with Matlab based software program. Kinematics optimization model of the manipulator mechanism is established and the kinematics is approximately decoupled at the optimized position in the design parameters space. The kinematics performance index and compliance motion performance index are evaluated with optimized kinematics parameters, the comparison data are listed as the optimized mechanism parameters vs. the original manipulator parameters. The optimization results of the manipulator compliance stiffness demonstrate that it is an effective analysis and evaluation method for manipulator design.

Key words: Compliance, Decoupling design, Forging manipulator, Parameter optimization, Stiffness

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