摘要
本文提出一种时间模态假设,由此导出描述圆柱正交各向异性薄扁球壳和锥壳非线性轴对称自由振动的非线性耦合的代数和微分特征值方程组.我们求出了该方程组的近似解析解,并获得壳体振动的幅频响应关系的渐近展开式.文中还讨论了壳体的几何及材料参量对其振动性态的影响.
A set of nonlinearly coupled algebraic and differential eigenvalue equations of nonlinear axisymmetric free vibration of orthotropic shallow thin spherical and conical shells are formulated following an assumed time-mode approach suggested in this paper. Analytic solutions are presented and an asymptotic relation for the amplitude-frequency response of the shells is derived. The effects of geometrical and material parameters on vibrations of the shells are investigated.
出处
《应用数学和力学》
EI
CSCD
北大核心
1992年第4期313-325,共13页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助的课题
关键词
非线性
振动
正交各向异性
扁球壳
geometrical nonlinearity, vibration, orthotropy, shallow conical shell,shallow spherical shell
