哈尔滨工程大学学报Issue(4):420-425,6.DOI:10.3969/j.issn.1006-7043.201307064
不同边界条件正交各向异性圆柱壳结构固有振动分析
Natural vibration analysis of the orthotropic cylindrical shell structure with various boundary conditions
摘要
Abstract
Motivated by the limitation of current studies on the dynamic characteristics of the orthotropic cylindrical shell, in this paper, an improved Fourier series method is employed to expand the three direction vibration dis-placement functions of the orthotropic cylindrical shell structure. Based on the energy principles, in combination with the Rayleigh-Ritz procedure, the system characteristic matrix function is obtained. The numerical results show that the model in this paper agrees very well with the data calculated from the other approach mentioned in the open literature, and that the correctness and reliability of this model has been validated. Compared with the other ap-proach, there is no need to re-formulate the theoretical equations or to re-write the codes for the modification of the boundary condition. This work provides a reliable and effective analysis tool for studying effects of the boundary con-dition on the dynamic behavior of orthotropic cylindrical shell structures.关键词
圆柱壳结构/正交各向异性圆柱壳/边界条件/傅里叶级数/固有振动/特征值问题Key words
cylindrical shell structure/orthotropic cylindrical shell/boundary condition/Fourier series/natural vibration/ei-genvalue problem分类
数理科学引用本文复制引用
张爱国,李文达,杜敬涛,代路,杨铁军..不同边界条件正交各向异性圆柱壳结构固有振动分析[J].哈尔滨工程大学学报,2014,(4):420-425,6.基金项目
国家自然科学基金资助项目(11202056). ()