平面柔性铰链机构自动建模方法

doi:10.3969/j.issn.1001-2400.2016.06.013

西安电子科技大学学报

平面柔性铰链机构自动建模方法

李佳杰;刘小院;陈贵敏

(西安电子科技大学机电工程学院，陕西西安 710071)

收稿日期:2015-11-10 出版日期:2016-12-20 发布日期:2017-01-19
通讯作者: 陈贵敏(1978-)，男，教授
作者简介:李佳杰(1986-)，女，西安电子科技大学博士研究生，E-mail：lijiajie1987@163.com.
基金资助:
国家自然科学基金资助项目(51175396)；中央高校基本科研业务费专项资金资助项目(K5051204021，xjs15041)；陕西省科技统筹资助项目(2014KTCQ01-27)

Automatically generating kinetostatic model for planar flexure-based compliant mechanisms

LI Jiajie;LIU Xiaoyuan;CHEN Guimin

(School of Mechano-electronic Engineering, Xidian Univ., Xi'an 710071, China)

Received:2015-11-10 Online:2016-12-20 Published:2017-01-19

摘要/Abstract

摘要：

从图论的基本概念出发，得到了柔性铰链机构有向图表示，并针对平面柔性铰链机构提出一种改进的双色图表示方法．通过十字链表的数据结构形式将柔性铰链机构的双色图表示映射到计算机中，按照所需的运算顺序遍历双色图，依次调用相应的函数表达式，从而实现了柔性铰链机构运动静力学模型的自动生成．以差分微位移放大机构为例，将基于图表示的平面柔性铰链机构自动建模方法计算结果与有限元仿真分析结果对比，两者的相对误差为4.89％，表明该自动建模方法是可行的．

关键词: 平面柔性铰链机构, 图论, 自动生成

Abstract:

Based on the concept of graph theory, a new two-colored digraph representation of planar flexure-based compliant mechanisms is presented, which is mapped to computers by the data structure of the orthogonal list. Then, the vertices and edges of the diagraph are traversed in the order of operations, to automatically generate kinetostatic models for planar flexure-based compliant mechanisms. The process of the automatically generating kinetostatic model for planar flexure-based compliant mechanisms based on graph theory is illustrated by applying it to the differential micro-displacement amplification mechanism. The results achieved by the automatically generating model and the finite element method are in good agreement, which validates the effectiveness of the proposed methods.

Key words: planar flexure-based compliant mechanisms, graph theory, automatic generation

李佳杰;刘小院;陈贵敏. 平面柔性铰链机构自动建模方法[J]. 西安电子科技大学学报, 2016, 43(6): 74-79.

LI Jiajie;LIU Xiaoyuan;CHEN Guimin. Automatically generating kinetostatic model for planar flexure-based compliant mechanisms[J]. Journal of Xidian University, 2016, 43(6): 74-79.

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平面柔性铰链机构自动建模方法

Automatically generating kinetostatic model for planar flexure-based compliant mechanisms

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