噪声与振动控制2016，Vol.36Issue(3)：21-25,5.DOI:10.3969/j.issn.1006-1335.2016.03.005
基于改进传递矩阵法的环肋圆柱壳固有振动分析
Free Vibration Analysis of Ring-stiffened Cylindrical Shells Based on Improved Transfer Matrix Method
摘要
Abstract
In order to simplify the derivation of the state vector’s first order differential equation in the traditional transfer matrix method and obtain the vibration characteristics of ring-stiffened cylindrical shells under different boundary conditions, the improved transfer matrix method is proposed based on Flügge shell theory. This method can be used to improve the selection of the state vectors to get the field transfer matrix which can be solved by a precise integration from the vibration equation directly and quickly. The point transfer matrix can be derived according to the continuous deformation at the connection of the ring and the shell. Finally, comparing the natural frequency calculated by the improved transfer matrix method with the results of FEM under the conditions of free plate, simply supported plate and clamped plate, it is shown that the improved transfer matrix method has effectiveness and applicability.关键词
振动与波/改进传递矩阵/环肋圆柱壳/精细积分/振动分析Key words
vibration and wave/improved transfer matrix/ring-stiffened cylindrical shell/precise integration/vibration analysis分类
数理科学引用本文复制引用
许瑞阳,王献忠,吴卫国..基于改进传递矩阵法的环肋圆柱壳固有振动分析[J].噪声与振动控制,2016,36(3):21-25,5.基金项目
国家自然科学基金资助项目(51409200)；中央高校基础科研(WUT:2014-IV-022) （51409200）
