Nonlinear vibration of shallow conic shells subjected to static load

摘要

In this paper, the largest amplitude at the center of shallow conic shells is selected as a perturbation parameter and the problem is solved by using the perturbation-variation method. In the first order approximation, the lowest natural frequency of shallow conic shells under the action of static load is obtained and in the third order approximation, the nonlinear natural frequency of the shells is obtained and it is very exact.