摘要
导出了纵向磁场中圆柱薄壳体的非线性轴对称振动基本方程。利用多尺度法和摄动法求出了两端简支壳体振动的近似解析解,并对振动幅值和频率进行了讨论。
In this paper, the nonlinear axisymmetric vibration equation of then cylindrical shells in longitudinal magnetic field is derived. By means of perturbation-method and multi-scale method. an approximate analytic solution to the equation of the shell with two simply supported ends is obtained and the frequency and the amplitude of vibration are discussed as well.
出处
《工程力学》
EI
CSCD
北大核心
2000年第1期35-40,24,共7页
Engineering Mechanics
基金
国家自然科学基金!19772046
关键词
磁弹性
非线性
振动
磁场
圆柱薄壳
magneto-elastic
nonlinear
vibratiin magnetic field
thin cylindrical shell