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

针对现有研究在正交各向异性圆柱壳振动特性边界条件方面的局限性,采用改进的傅里叶级数方法对正交各向异性圆柱壳3个方向上的振动位移场函数进行构造,基于能量原理和瑞利-里兹步骤得到正交各向异性圆柱壳自由振动系统特征矩阵方程。结果表明,本方法所得正交各向异性圆柱壳结构模态参数与相关文献数据吻合良好,验证了本模型的正确性与可靠性。同现有方法相比,本模型能够在无须重新理论推导和计算程序的重新编写而实现各种边界条件设置,为研究边界条件对正交各向异性圆柱壳结构振动行为的影响提供一种可靠而高效的分析手段。

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.