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Exact Elasticity Solution for Axisymmetric Deformation of Circular Plates

  • W.-D. Tseng (a1) and J.-Q. Tarn (a2)


We present an exact analysis of axisymmetric bending of circular plates according to elasticity theory. On the basis of Hamiltonian state space approach, a rigorous solution of the problem is determined by means of separation of variables and symplectic eigenfunction expansion in a systematic way. The thickness effect on bending of circular plates and the applicability of the classical plate solutions for the problem are evaluated accordingly.


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