基于梁平截面假设的复杂细长结构动力模型简化方法  

A model reduction method for dynamics analysis of complex slender structure based on the plane cross-section assumption of beam

作　　者：王文胜[1] 程耿东[1] 李取浩[1] 

机构地区：[1]大连理工大学工程力学系工业装备结构分析国家重点实验室,大连116024

出　　处：《计算力学学报》2012年第3期295-299,332,共6页Chinese Journal of Computational Mechanics

基　　金：国家自然科学基金(90816025)资助项目

摘　　要：针对纵向尺度显著大于横向的复杂细长结构,提出了一个基于梁平截面假设的模型简化方法,建立了具有物理意义的基向量。同时考虑这类结构截面变形的翘曲模式,增加了翘曲基向量,得到精度较高的简化动力模型。这样的简化模型可以用于原结构在不同边界条件的动力分析。结构频率计算的两个具体算例表明了简化方法的有效性。This paper presents a model reduction method for the structures whose longitudinal dimension is significantly larger than transverse one. By using the plane cross sectional assumption we generate a set of physical reduce base vectors and project the complicated FEM model of the structure into the space spanned by the base vectors. The resulting reduced model has clear physical meaning and can be applied for dynamic analysis of the structure under different boundary conditions. And the cross-sectional wrap deformation is also taken into consideration. A high accuracy reduced model is obtained by adding the warping mode base vectors for the structure with opening. Two numerical examples show the efficiency and validity of this method.

关 键 词：细长结构 平截面假设 模型简化 翘曲模态 结构动力分析 

分 类 号：O313[理学—一般力学与力学基础]