DYNAMIC STABILITY OF CIRCULAR THIN AND THICK PLATES ON ELASTIC FOUNDATION

Authors

  • Joaquin L. Sanchez Salas PUCRJ
  • Raul Rosas e Silva PUCRJ

DOI:

https://doi.org/10.26512/ripe.v2i22.20883

Keywords:

Circular plate. Elastic foundation. Stability of circular plates. Nonconservative tangential follower loads. Rayleigh-Ritz method.

Abstract

This paper studies the dynamic buckling of thin and thick circular and annular plates on elastic foundation subject to nonconservative forces. The initial elastic, geometric stiffness and mass matrices are obtained using the Rayleigh-Ritz method. The approximation functions for displacements are polynomials in the radial direction combined with trigonometric functions in the circumferential direction, enriched by higher order polynomials without inclusion of additional nodes. The effect of load displacement dependence is introduced in the so-called load matrices, which are obtained from equilibrium considerations in the case of nonconservative behavior. The model was implemented in MAPLE. The examples present comparisons illustrating the effect of shear deformation, rotatory inertia and elastic foundation on flutter loads.

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References

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Wang, C.M. et al., 1993. Axisymmetric Buckling of Circular Mindlin Plates With Ring

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Published

2017-02-08

How to Cite

Salas, J. L. S., & Rosas e Silva, R. (2017). DYNAMIC STABILITY OF CIRCULAR THIN AND THICK PLATES ON ELASTIC FOUNDATION. Revista Interdisciplinar De Pesquisa Em Engenharia, 2(22), 325–334. https://doi.org/10.26512/ripe.v2i22.20883

Issue

Vol. 2 No. 22 (2016): NONLINEAR ANALISYS, STABILITY AND STRUCTURAL DYNAMICS

Section

Artigos

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