空间并联机构的弹动力学优化设计0566437

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4、SMA Dissertation submitted in fulfillment of the requirements of the degree ofMASTER OF PHILOSOPHYfromShandong University of Science and TechnologybyZhang ZhonggongSupervisor: Associate Professor Chen XiulongCollege of Mechanical and Electronic EngineeringMay 2014声 明本人呈交给山东科技大学的这篇硕士学位论文,除了所列参考文献和世所公

5、认的文献外,全部是本人在导师指导下的研究成果。该论文资料尚没有呈交于其它任何学术机关作鉴定。 硕士生签名: 日 期:AFFIRMATIONI declare that this dissertation, submitted in fulfillment of the requirements for the award of Master of Philosophy in Shandong University of Science and Technology, is wholly my own work unless referenced of acknowledge. The docu

6、ment has not been submitted for qualification at any other academic institute. Signature: Date: 摘 要本论文对4-UPS/UPU空间并联机构的弹性动力学、动力学灵敏度和动力学优化设计进行了分析研究。首先,对4-UPS/UPU空间并联机构进行弹性动力学分析,建立并联机构的弹性动力学模型;推导其动力学微分方程、驱动杆应力和系统频率的表达式,并应用Newmark法求解动力学微分方程,为该机构的弹性动力学灵敏度分析和弹性动力学优化设计奠定基础。其次,运用并联机构的弹性动力学理论,以直接微分法推导并联机构的运

7、动误差、驱动杆应力和系统频率对动平台质量和驱动杆截面积等设计参数的灵敏度公式;在此基础上,分析动平台的质量和驱动杆的截面面积对并联机构的运动误差、驱动杆应力和系统频率的影响,为该机构的弹性动力学优化设计提供理论依据。最后,根据并联机构的弹性动力学分析和灵敏度分析,确定优化设计的设计变量、目标函数和约束条件函数,并推导出其函数表达式。根据优化问题类型分别应用线性加权法和理想点法将多目标函数转化为单目标函数,采用内惩罚函数法将有约束问题转化为无约束问题,然后采用遗传算法对处理后的优化问题进行优化。根据优化结果确定并联机构的弹性动力学行为得到明显改善。关键词:弹性动力学,灵敏度,理想点法,内惩罚函数

8、法,遗传算法 ABSTRACTElastic dynamics, dynamics sensitivity and dynamics optimization design of 4-UPS/UPU spatial parallel mechanism are studied in this article.Firstly, elastic dynamics of 4-UPS/UPU spatial parallel mechanism is analyzed, and the elastic dynamics model of parallel mechanism is establishe

9、d. Expressions of elastic dynamic behaviors including dynamics differential equation, stress of driving limbs and system frequencies for 4-UPS/UPU spatial parallel mechanism are derived. The dynamics differential equation is solved by Newmark method, and provides a basis for the elastic dynamics sen

10、sitivity analysis and elastic dynamics optimization of the mechanism.Secondly, based on the elastic dynamics theory, the sensitivity equation of kinematic error, stress of driving limbs and system frequencies for parallel mechanism to various design parameters including the mass of moving platform a

11、nd sectional area of driving limbs are derived by the differential method, respectively. On this basis, the impact of various design parameters to elastic dynamics behaviors for parallel mechanism is analyzed, and provided an important theoretical base of elastic dynamics optimization of the mechani

12、sm.Finally, based on elastic dynamics analysis and sensitivity analysis of parallel mechanism, design variable, objective function and constraint function of optimal design are defined, and expressions of its function are derived. The linear weighted method and ideal-point method are used for conver

13、ting the multi-objective optimization into the single-objective one, and internal penalty function method is used for converting the constrained optimization into the unconstrained one. Then the genetic algorithm is used for optimization of parallel mechanism. Elastic dynamics behavior of parallel m

14、echanism after optimization based on the optimization results has improved apparently.Key words: Elastic dynamics, Sensitivity, Ideal-point method, Internal penalty function method, Genetic algorithm目 录1 绪 论11.1 并联机构的国内外发展概况11.2 并联机构的动力学研究现状31.3 课题研究意义41.4 本论文的主要内容52 并联机构弹性动力学建模与分析62.1 引言62.2 单元弹性动力学方程的建立72.3 支链弹性动力学方程的建立152.4 并联机构弹性动力学方程的建立172.5 并联机构弹性动力学方程的求解242.6 并联机构的应力分析282.7 系统频率特性分析332.8 本章小结343 并联机构弹

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