Study on free vibration of moderately thick orthotropic laminated shallow shells by boundary-domain elements *

In this paper a boundary integral equation formulation of free vibration of moderately thick orthotropic laminated shallow shells has been established by using the method of weighted residuals and the static fundamental solutions. In the present formulation the effects of neglecting the in-plane inertia and the rotatory inertia, singly and in combination, are also considered. The boundary integral equations presented are reduced to a standard algebraic eigenvalue problem by means of boundary-domain elements. Some numerical results for three kinds of boundary conditions have been presented to demonstrate the correctness and accuracy of the present formulation and to study the effects of neglecting the in-plane inertia and the rotatory inertia on the frequencies of lower modes. Numerical results show that the present method has good accuracy, and both the in-plane and rotatory inertias have very slight effects on the frequencies of lower modes for relatively thick shells (ah = 10).

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