基于全局动态应力解空间谱单元插值的关键时间点识别  

Critical Time Point Identification for Global Dynamic Stress Based on Spectral Element Interpolation of Solution Space

作　　者：张艳岗[1] 毛虎平[1] 苏铁熊[1] 李坤[1] 王军[1] 

机构地区：[1]中北大学,太原030051

出　　处：《中国机械工程》2016年第5期688-693,共6页China Mechanical Engineering

基　　金：国家自然科学基金资助项目(51275489)

摘　　要：针对结构动态响应优化中动态分析的复杂性与高耗时性问题,提出了基于全局动态应力解空间谱单元插值的关键点识别方法,找到结构动态响应下最危险的时刻。首先利用模态叠加法,获得结构的模态应力分布,并计算全局动态应力解空间,然后利用谱单元离散动态应力绝对极大值点曲线,采用Lagrange插值并调用区域细分全局优化求解器,找到全局动态应力的极大值与极小值,即关键时间点。将该方法应用到124杆平面桁架和均布力与集中力共同作用的结构关键时间点识别问题中,识别结果说明了该方法的可行性和有效性。According to the complexity and high-cost characteristics of dynamic analyses in the structural dynamic optimization processes,a critical time points identification method for solution space of global dynamic stress based spectral element interpolation was proposed.The most dangerous time points of the structure dynamic response were found.The modal stress distribution was obtained by using the modal superposition method,and then,the solution space domain of the global dynamic stress was computed.The Lagrange interpolation techniques were applied in the solution space domain to get the high precision function of the global dynamic stress.The absolute maximum points,that is,the critical time points,were found by executing the global DIRECT optimizer.Last,two examples of124-member plane truss and the structure subjected to uniform and concentrated force were used to illustrate the feasibility and validity of the proposed method.

关 键 词：解空间谱单元离散 全局动态应力 LAGRANGE插值 关键时间点 

分 类 号：TH122[机械工程—机械设计及理论]