摘要
针对60 MN力标准机承压板结构轻量化拓扑优化时,既要求结构的刚度最大化又要求结构的低阶固有频率最大化的多目标拓扑优化问题,提出了针对多个目标采用加权平均的方法把多目标优化问题转化为单目标优化问题。通过对选定的多个低阶固有频率目标函数采用加权求平均频率的方法实现了承压板结构的动态特性优化;采用加权平均的方法确定了刚度和频率的综合目标函数,实现了承压板结构的多目标拓扑优化,最终设计出了一种新的承压板结构。研究结果表明,优化后的承压板结构的最大变形量减少了25.5%,最大应力减少了14.1%,前五阶固有频率增加了5.7%~13.2%;可以看出新的承压板结构的前五阶固有频率和静态刚度均得到显著提高,从而验证了该优化方法的可行性。
Aiming at the problem of the 60 MN force standard machine bearing plate stracture topology optimization of light weight not only requiring the stiffness but also the low order natural frequency of the structure to maximized. A weighted average method which tiansformed the multi-objective optimization problem into a single objective optimization problem was presented in this paper. The weighted average frequency method was applied for the seleeted various target function with low order natural frequency to achieve the dynamic characteristics optimization of the bearing plate structure; the weighted average method was applied for the stiffness and frequency of comprehensive target function to achieve the multi-objective topology optimization of the bearing plate structure. Finally,a new kind of bearing plate structure was designed. The results show that the maximum deformation is reduced by 25. 5%,the maximum stress is reduced by 14. 1%,and the first five order natural frequency is increased by 5. 7% ~ 13. 2%. It can be seen that the first five order natural frequency and the static stiffness of the new bearing plate structure are improved remarkably,which verifies the feasibility of the optimization method.
出处
《机电工程》
CAS
2016年第9期1076-1079,1093,共5页
Journal of Mechanical & Electrical Engineering
基金
国家质检部总局公益类项目(2015QK295)
关键词
承压板
多目标
平均频率
拓扑优化
bearing plate
multi-objective
average natural frequency
topology optimization
