航空学报 > 2011, Vol. 32 Issue (12): 2327-2334

基于单叶双曲面的标准Stewart并联结构六维力传感器各向同性优化设计

佟志忠1, 姜洪洲1, 何景峰1, 段广仁2   

  1. 1. 哈尔滨工业大学 机电工程学院, 黑龙江 哈尔滨 150001;
    2. 哈尔滨工业大学 航天学院, 黑龙江 哈尔滨 150001
  • 收稿日期:2011-04-05 修回日期:2011-05-23 出版日期:2011-12-25 发布日期:2011-12-08
  • 通讯作者: 佟志忠 E-mail:tongzhizhong@yahoo.com.cn
  • 作者简介:佟志忠(1978-) 男,博士,讲师。主要研究方向:并联机构分析与控制,液压伺服控制系统。 Tel: 0451-86413253 E-mail: tongzhizhong@yahoo.com.cn
  • 基金资助:

    国家自然科学基金 (50975055)

Optimal Design of Isotropy Performance of Six-dimensional Force Sensor Based on Standard Stewart Parallel Structure Lying on a Circular Hyperboloid of One Sheet

TONG Zhizhong1, JIANG Hongzhou1, HE Jingfeng1, DUAN Guangren2   

  1. 1. School of Mechanical and Electrical Engineering, Harbin Institute of Technology, Harbin 150001, China;
    2. School of Astronautics, Harbin Institute of Technology, Harbin 150001, China
  • Received:2011-04-05 Revised:2011-05-23 Online:2011-12-25 Published:2011-12-08

摘要: 基于Stewart并联结构六维力/力矩传感器在空间六维力的准确检测上具有广泛前景,设计低耦合、高精度、易于标定和使用的六维力/力矩传感器是其结构设计的关键问题。传统Stewart并联结构几何参数描述为6个相互耦合的变量,不利于实现设计参数与设计指标的解耦,而且非正交条件下的各向同性使得六维力/力矩传感器仍存在耦合,为此提出基于单叶双曲面定义并构造Stewart并联结构,将最小结构参数描述集元素数量减至3个,利用解析的静态数学模型推导满足传感器正向和逆向的力/力矩各向同性的条件,以得到二者相互制约的关系,给出解耦中心数学表达式。通过综合各个性能指标,提出了优化设计方法,给出了构造一类各向同性的Stewart并联结构六维力/力矩传感器的新方法,为该类传感器设计提供了新路线。

关键词: Stewart并联结构, 各向同性, 传感器, 优化设计, 单叶双曲面

Abstract: The six-dimensional force/torque sensor based on a Stewart parallel structure has great potential for application in the field of precise measurements of spatial forces, and it is a key issue in the structural design to develop a six-dimensional force/torque sensor with low coupling, high precision, ease of calibration and application. Traditional geometric parameters describing a Stewart parallel structure are six coupled variables, which are not beneficial to the decoupling of the design parameters to realize the design objective. In addition, the designed six-dimensional force/torque sensor is still coupled with isotropy in the condition of non-orthodology. This paper proposes to define and generate a Stewart parallel structure based on a circular hyperboloid of one sheet. By using this new definition, the geometric parameters describing a Stewart parallel structure is the minimal set only with three elements. The conditions of the forward isotropy and backward isotropy are derived based on the analytical static mathematical model, and the relationships are presented. The mathematical formulation of decoupled center is built. By compromising the performance indices, an optimal design routine is developed, and a new method is obtained to generate a class of isotropic six-dimensional force/torque sensor based on the Stewart parallel structure. The results provide a novel approach for the design of the six-dimensional force sensor.

Key words: Stewart parallel structures, isotropy, sensors, optimal design, circular hyperboloid of one sheet

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