Dynamic Response of Curved Sandwich Beam with a Soft Flexible Core Subjected to Radial Low Velocity Impact

Authors

1 Isfahan University of Technology

2 Ph.D. student, Mechanical Engineering Department, University of Tehran

Abstract

In this paper, an exact closed-form solution is presented for out-of-plane free vibration of thick homogeneous and isotropic multilayered rectangular plates with simply supported boundary conditions based on the linear three-dimensional elasticity theory. The solution procedure is on the basis of using of some proposed displacement fields. Proposed displacement fields satisfied simply supported boundary conditions on the edges of the plate. On the continuation of the solution, by replacing the proposed displacement fields into the three-dimensional elasticity equations of motion and simplifying the results some independent ordinary differential equations are obtained. The natural frequencies are extracted by satisfying the boundary conditions on the surfaces of the plate and surfaces between the layers. In order to establish the accuracy and stability of the proposed solution, several numerical results for one layered and two layered square and rectangular plates are presented and compared with corresponding results in the literatures and obtained results of 3-D finite element method.

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Main Subjects

References

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Journal of Solid and Fluid Mechanics
Volume 5, Issue 1 - Serial Number 1
March and April 2015
Pages 1-11

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