In-plane vibration of plates by p-version of finite element method
Book
·
OSTI ID:94405
- Univ. of Southwestern Louisiana, Lafayette, LA (United States). Dept. of Civil Engineering
A continuous mass distribution is considered over each finite element and the differential equations of motion are satisfied within the finite element. The differential equations are expressed in the complex domain, and their integrals are obtained in terms of eight high order functions. The use of high order functions is known as the p-version of the finite element method. The dynamic member stiffness matrix which includes the terms stemming from the strain, kinetic energies s evaluated through the Lagrangian dynamic equation. The in-plane vibration of plates within an elastic medium is included in the analysis by introducing a friction coefficient between the plate and the elastic medium. The natural circular frequencies and the corresponding modal shapes are determined from the free vibration of the plates. The two orthogonality conditions being valid, the forced vibration of plates, subjected to dynamic disturbances proportional to same time variation, are computed by using the modal analysis. If the externally applied disturbances are not proportional to a same time variable function, the forced vibration can be performed by a numerical method. Illustrative examples are provided.
- OSTI ID:
- 94405
- Report Number(s):
- CONF-950116--; ISBN 0-7918-1293-6
- Country of Publication:
- United States
- Language:
- English
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