中文摘要：

基于声子晶体理论和Flugge壳体理论分析了变截面圆柱壳体中波的传播特性。采用Hamilton原理推导出了圆柱壳体的传递矩阵,通过精细积分法,计算出传递矩阵的特征值。通过数值算例分析了波在两种变截面（指数函数、线性函数）圆柱壳体中的传播特性,数值结果表明：波在均值圆柱壳体中传播,只有相变没有位移幅值的衰减,而对于变截面圆柱壳体,波在传播过程中存在禁带域和通带域,在禁带域位移振幅产生衰减。由于圆柱壳体的截面尺寸变化对振动波的传播有一定的影响,本文的研究可以为结构的抗震设计、减振控制提供一种新思路。

英文摘要：

Based on the phononic crystal theory and Flugge shell theory,the vibration characteristics of cy- lindrical shell with variable cross section was analyzed. The transfer matrix of the cylindrical shell was de- rived by Hamilton principle,and the characteristic value of the transfer matrix was calculated according to the precise integration method. The propagation characteristics of two kinds of variable cross section（expo- nential function and linear function） cylindrical shell were investigated. Numerical results showed that there is the phase change producing, but no displacement amplitude attenuating when the wave propagates in the mean cylindrical shell; for the variable cross section cylindrical shell, there exists the band gap and the pass gap in the process of wave propagation, and the displacement amplitude attenuating in the band gap. Because the change of the cylindrical shell section size has the influence on vibration characteristics, the research of this paper can provide a new way for the design and vibration control of the structure.