摘要
基于迁移矩阵法给出了圆柱壳、圆锥壳以及锥柱结合壳的运动矩阵方程,给出了精细积分以及Runge-Kutta-Gill法的矩阵方程求解方法,大幅提高了求解精度及效率。进一步以不同边界条件下圆柱壳、圆锥壳和锥柱结合壳为算例讨论了锥柱耦合后圆柱壳及圆锥壳自身振动频率的变化。算例结果与有限元软件Ansys对比,验证了本文矩阵方程及求解方法的可靠性。
The transfer matrix and the solution method for analyzing natural vibrational characteristics of isotropic cylindrical shells,conical shells and coupled cylindrical-conical shells are expressed in this paper. Precise integration and Runge-Kutta-Gill methods are used to solve the matrixes improves the precision and the efficiency of the solution. And the influence on vibrational characteristics of the coupling of the cylindrical shell and the conical shell is discussed. Compared with the FEM,the method described in the paper is efficient.
出处
《舰船科学技术》
北大核心
2014年第9期32-36,共5页
Ship Science and Technology
关键词
锥柱结合壳
迁移矩阵法
精细积分
固有振动特性
coupled cylindrical-conical shells
transfer matrix method
precise integration methods
natural vibrational characteristics
