Archive of Applied Mechanics

, Volume 77, Issue 6, pp 381–391 | Cite as

Nonlinear dynamic analysis of circular plates with varying thickness

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Abstract

The BEM is developed for nonlinear free and forced vibrations of circular plates with variable thickness undergoing large deflections. General boundary conditions are considered, which may be also nonlinear. The problem is formulated in terms of displacements. The solution is based on the concept of the analog equation, according to which the two coupled nonlinear differential equations with variable coefficients pertaining to the in-plane radial and transverse deformation are converted to two uncoupled linear ones of a substitute beam with unit axial and unit bending stiffness, respectively, under fictitious quasi-static load distributions. Numerical examples are presented which illustrate the method and demonstrate its accuracy.

Keywords

Circular plate Nonlinear Vibrations Large deflections Variable thickness Analog equation method Boundary element method 
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Copyright information

© Springer-Verlag 2006

Authors and Affiliations

  1. 1.School of Civil EngineeringNational Technical University of AthensAthensGreece
  2. 2.Academy of Athens, Office of Theoretical and Applied Mechanics and School of Civil EngineeringNational Technical University of AthensAthensGreece

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