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Harmonic differential quadrature-finite differences coupled approaches for geometrically nonlinear static and dynamic analysis of rectangular plates on elastic foundation
- Source :
- Journal of Sound and Vibration. 294:966-980
- Publication Year :
- 2006
- Publisher :
- Elsevier BV, 2006.
-
Abstract
- The geometrically nonlinear static and dynamic analysis of thin rectangular plates resting on elastic foundation has been studied. Winkler–Pasternak foundation model is considered. Dynamic analogues Von Karman equations are used. The governing nonlinear partial differential equations of the plate are discretized in space and time domains using the harmonic differential quadrature (HDQ) and finite differences (FD) methods, respectively. The analysis provides for both clamped and simply supported plates with immovable inplane boundary conditions at the edges. Various types of dynamic loading, namely a step function, a sinusoidal pulse and an N-wave, are investigated and the results are presented graphically. The accuracy of the proposed HDQ–FD coupled methodology is demonstrated by the numerical examples.
- Subjects :
- Partial differential equation
Acoustics and Ultrasonics
Mechanical Engineering
Mathematical analysis
Finite difference method
Finite difference
Condensed Matter Physics
Föppl–von Kármán equations
Quadrature (mathematics)
Nonlinear system
Classical mechanics
Mechanics of Materials
Boundary value problem
Harmonic differential
Mathematics
Subjects
Details
- ISSN :
- 0022460X
- Volume :
- 294
- Database :
- OpenAIRE
- Journal :
- Journal of Sound and Vibration
- Accession number :
- edsair.doi...........3fb849de221e216b0989eb5f7e3a1d37