• CN:11-2187/TH
  • ISSN:0577-6686

›› 2014, Vol. 50 ›› Issue (5): 17-25.

• 论文 • 上一篇    下一篇

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基于变约束旋量原理的变胞机构构型综合

畅博彦;金国光;戴建生   

  1. 天津工业大学天津市现代机电装备技术重点实验室;伦敦大学国王学院
  • 发布日期:2014-03-05

Type Synthesis of Metamorphic Mechanism Based on Variable Constraint Screw Theory

CHANG Boyan;JIN Guoguang;DAI Jiansheng   

  1. Tianjin Key Laboratory of Advanced Mechatronics Equipment Technology, Tianjin Polytechnic University College of Kingdom, London University
  • Published:2014-03-05

摘要: 变胞机构具有变结构和变功能特性。对满足变胞条件的运动链进行综合,是变胞机构结构学研究的难点。基于机构分析理论和变胞原理,对变胞机构的组成进行分析,定义变胞支链和变胞机构的概念。根据变胞机构中变胞支链数目的不同,提出三种变胞机构类型:单变胞支链型、多变胞支链型和全变胞支链型。将变胞机构变拓扑的实质归纳为机构所受约束的变化,使对变胞机构的综合转化为含变约束串联支链的变胞源机构综合。将约束旋量原理引入变胞机构的构型综合,采用数学分析方法,阐述变胞源机构与子构态机构之间的关系,给出构态变化条件及变约束旋量方程的数学表达式,形成基于变约束旋量原理的变胞机构综合理论及其一般过程。以空间变胞并联仿生关节机构为例,运用变约束旋量原理对其进行构型综合,求解出所有可能的支链约束组合,列举满足对应约束条件的多种支链运动副形式,得到多种具有被动径向移动自由度的球面关节机构,联同平面双层折纸变胞机构示例,验证了变约束旋量原理对变胞机构综合的有效性和正确性。

关键词: 变胞机构;变约束;旋量理论;型综合

Abstract: Metamorphic mechanism is characterized by variable function and topology structures. It’s a challenge to perform the syntheses of kinematic chain corresponding with metamorphic conditions. Conceptions of metamorphic mechanisms and metamorphic sub-chains are discussed and their structural formulation is analyzed based on principle of metamorphosis. According to the number of metamorphic sub-chains, a metamorphic mechanism is divided into three types including single-type, multy-type and all-type. The essence of variable topology characteristics is change of constraint, and consequently, type synthesis of a metamorphic mechanism is converted into synthesis of an original mechanism with variable constraint sub-chains. Constraint screw theory is introduced and mathematical analysis is used to illustrate the relationship between a source metamorphic mechanism and sub-configuration with mathematical expression. Variable constraint synthesis theory is proposed and a general process is formed aiming at metamorphic mechanism design. In order to validate the proposed theory, a spatial metamorphic parallel mechanism used for bionic joint is presented and the mechanisms which meet the requirements are obtained with variable constraint synthesis theory.

Key words: metamorphic mechanisms;variable constraint;screw theory;type synthesis

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