计算力学学报2024，Vol.41Issue(4)：775-780,6.DOI:10.7511/jslx20221228001
基于Walsh级数法层合梁自由振动分析
Free vibration analysis of laminated beam with WSM
郭诗白 1胡平 1黎胜1
作者信息
- 1. 大连理工大学力学与航空航天学院,大连 116024
- 折叠
摘要
Abstract
A Walsh series Discretization method-based(WSM)solution approach is presented to conduct free vibration analysis of a composite laminated beam with general boundary conditions in this paper.The first-order shear deformation theory considering the shear effect and rotary inertia is used to establish the theoretical model,and weightings are introduced to obtain general boundary conditions.Walsh series are chosen as the basis functions of the meridional directions of the beam,and the integration constants generated in this process are determined by the boundary conditions.By using the WSM,the complex multivariable coupled equations can be transformed into simple linear algebraic equations of a single variable.On this basis,the frequencies of the composite laminated beam can be easily obtained by solving algebraic equations.Compared with the existing literature,the numerical results show that this method has good convergence and accuracy.关键词
Walsh级数法/自由振动/纤维层合梁Key words
Walsh series Discretization method/free vibration/laminated beam分类
数理科学引用本文复制引用
郭诗白,胡平,黎胜..基于Walsh级数法层合梁自由振动分析[J].计算力学学报,2024,41(4):775-780,6.
