梁结构振动问题的边界元法解析  

Analysis of Beam Structure Vibration by Boundary Element Method

作　　者：韩旭炤[1] 黄玉美[1] 张永贵[1] 蔡晓江[1] 

机构地区：[1]西安理工大学机械与精密仪器工程学院

出　　处：《农业机械学报》2008年第7期178-182,193,共6页Transactions of the Chinese Society for Agricultural Machinery

基　　金：国家自然科学基金资助项目(项目编号:50075069)

摘　　要：针对梁结构振动在工程应用中的问题,以梁元件的弯曲振动为例,从梁元件弯曲振动的控制微分方程出发,推导了梁元件弯曲振动的边界元法解析公式,提出了局部区间步长细化的频率扫描方法,利用Matlab软件编制了梁元件振动问题求解的边界元法解析程序,最后给出了梁元件振动问题求解的相关算例。结果表明,边界元法对梁结构进行动态分析方便简单,局部区间步长细化频率扫描方法比常规扫描方法高效准确。The vibration of beam structures has an important impact on the application of engineering. Taking the bending vibration of the beam element as a case and embarking upon the control differential equations of it; this paper deduced the analysis formulas of the bending vibration of the beam element by boundary element method （BEM）, proposed local-interval-step-thinning frequency scanning method, completed the BEM dynamic analysis program of the beam element by Matlab software, and eventually provided the corresponding examples of dynamic analysis of the beam element. The results indicate that BEM is convenient for dynamic analysis of beam structures. Compared with the conventional scanning method, the local-interval-step-thinning frequency scanning method has higher efficiency and accuracy.

关 键 词：梁结构 振动分析 动态特性 边界元法 频率扫描 

分 类 号：O343[理学—固体力学] TB12[理学—力学]