应用数学和力学2018，Vol.39Issue(3)：278-285,8.DOI:10.21656/1000-0887.380090
基于传递矩阵法的周期性圆柱壳体振动特性分析
Vibration Characteristics Analysis of Periodic Cylindrical Shells Based on the Transfer Matrix Method
摘要
Abstract
Based on the phononic crystal theory and the Love shell theory,the radial axisymmetric vibration equations for cylindrical shells were established.The dynamic stiffness matrix of each cell in the periodic cylindrical shell was obtained,and the transfer matrix between adjacent cells was derived with the transfer matrix method.The effects of the elastic modulus and geometric sizes on the wave propagation characteristics were analyzed according to the numerical examples.Numerical results show that there exist band gaps and pass gaps during the process of wave propagation in periodic cylindrical shells;the change of the length ratio has a significant effect on the amplitude,the width and the number of the band gaps.Therefore,it is possible to regulate the wave propagation characteristics of the structure through adjustment of the structural dimensions,which provides a new way for the design and vibration control of the structure.关键词
Love壳体理论/传递矩阵法/能量带/振动特性Key words
Love shell theory/transfer matrix method/energy band/vibration characteristic分类
数理科学引用本文复制引用
鞠海燕,扶名福,徐斌..基于传递矩阵法的周期性圆柱壳体振动特性分析[J].应用数学和力学,2018,39(3):278-285,8.基金项目
国家自然科学基金(51269021 （）
51569016) （）
江西省科技厅项目(20133ACB20006 （）
20122BBG70174 （）
20142BAB206001 （）
S2016SFYBG0137) （）
江西省教育厅科技落地计划项目(KJLD12048) （KJLD12048）
赣鄱英才555工程 The National Natural Science Foundation of China(51269021 （）
51569016) （）
