摘要
根据薄壳非线性动力学理论,用拟壳法给出扁锥面网壳的非线性动力学基本方程.选取扁锥面网壳中心最大振幅为摄动参数,用摄动变分法进行求解.一次近似得到了扁锥面网壳的线性振动时的固有频率,二次近似得到了扁锥面网壳的非线性固有频率.
The nonlinear dynamical fundamental equations of the shallow conical reticulate shell are obtained with method of quasi-shell and theory of nonlinear dynamics of thin shell.Taking maximal amplitude at the center of shallow conical reticulate shell as perturbation parameter,the problem is solved by means of perturbation variation.The linear natural frequency of shallow conical reticulate shell is obtained with the first approximate equation,and the nonlinear natural frequency of the shallow conical reticulate shell is obtained with the second approximate equation.
出处
《兰州理工大学学报》
CAS
北大核心
2004年第4期138-140,共3页
Journal of Lanzhou University of Technology
基金
甘肃省自然科学基金(ZS021 A25 007 Z)
关键词
三向网格
网壳
非线性
固有频率
three-dimensional grids
reticulate shell
nonlinearity
natural frequency
