基于FE-SEA混合法的梁弯曲振动响应分析  

FE-SEA HYBRID METHOD FOR VIBRATION ANALYSIS OF COMPLEX STRUCTURES

作　　者：胡莹[1] 陈克安[1] 

机构地区：[1]西北工业大学航海学院环境工程系,西安710072

出　　处：《振动与冲击》2008年第7期91-96,126,共7页Journal of Vibration and Shock

基　　金：航空基础科学基金(05B53004);西北工业大学研究生创业种子基金(Z200606)资助

摘　　要：FE-SEA混合法将计算低频响应的有限单元法和计算高频响应的统计能量分析结合起来,可用于全频段的结构振动响应分析。将FE-SEA混合法运用到梁结构的弯曲振动分析中,研究了计算整体动力刚度阵Dgg原理,推导了修正的动力刚度阵ΔD、修正的力阵ΔF以及整体模态的输入功率Pg在梁弯曲振动分析中具体的表达式。最后利用计算机仿真对三种耦合情况进行了仿真,并利用FEA和SEA方法的计算结果,证明了FE-SEA混合法运用于梁结构弯曲振动响应分析的正确性。与传统的有限元法相比,FE-SEA混合法的计算量大大减小。The FE-SEA hybrid method, combining the finite element method (FE) and statistical energy analysis (SEA), can be used to vibration analysis of complex structures in a broadband frequency range. With the FE-SEA hybrid method the bending vibration of two coupled beams was analyzed. The expressions of related parameters, such as, the modified dynamic stiffness matrix △D, the modified forcing vector AF and power input from the global modes Pg, were deduced. It is shown by computer simulations that the method proposed is valid for analysis of structures excited by broadband input power.

关 键 词：复杂结构 有限元 统计能量分析 混合方法 弯曲振动 

分 类 号：TB53[理学—物理]