一种多环闭链空间可展开机构的尺度协同优化设计  

Dimension collaborative optimization design of a multi-closed-loop space deployable mechanism

作　　者：李团结[1] 王鹏[1] 

机构地区：[1]西安电子科技大学机电工程学院,陕西西安710071

出　　处：《西安电子科技大学学报》2017年第3期19-24,共6页Journal of Xidian University

基　　金：国家自然科学基金资助项目(51375360)

摘　　要：设计了一种新型多环闭链空间可展开机构,建立了该机构的回路约束方程,完成了可展开机构的位置分析.然后,在给定展开口径与展开角度范围的前提下,以各杆杆长为设计变量,以展收比最大、驱动行程最小和最小传动角最大作为优化目标,采用协同优化方法,将优化设计问题分成两级:1个系统级和并行的3个子系统级.系统级用来统一协调各子系统间耦合变量的不一致性,3个子系统级的优化目标分别是使各子系统的优化方案与系统级所提供的目标方案之间的差异最小.完成了该机构协同优化的数学建模,进而得到该机构在总目标函数下的尺度参数最优值.算例结果表明,该机构可同时达到15∶1的展收比、198mm的驱动行程和22°的最小传动角,机构展开运动平稳、无死点.This paper presents a new multi-closed-loop space deployable mechanism. The position analysis of the deployable mechanism has been carried out based on the loop constraint equations. Then, under the premise of the given aperture diameter and the range of opening angles, the mathematical model of dimension optimization of the deployable mechanism is established, in which the design variables are bar lengths, and the objective functions include maximizing the expansion ratio and the minimal transmission angle, and minimizing the driven stroke. By the collaborative optimization method, the optimization problem is divided into two levels： a system level which is used to coordinate the inconsistency of the coupling variables in subsystems, and three parallel subsystems which are used to minimize the difference between the optimization scheme of subsystems and the goal of the system level. The dimension parameters of deployable mechanisms can be optimized through the established collaborative optimization model. Simulation results show that the deployment process is smooth without the dead points when the expansion ratio, the driven stroke and the minimum transmission angle are 15 ： 1, 198 mm and 22°, respectively.

关 键 词：空间可展开机构 位置分析 数学建模 协同优化 优化设计 尺度设计 

分 类 号：TH112[机械工程—机械设计及理论]