Engineering Mechanics

Proceedings Vol. 17 (2011)

ENGINEERING MECHANICS 2011

Copyright © 2011 Institute of Thermomechanics, Academy of Sciences of the Czech Republic, v.v.i., Prague

 

Staňák P., Sládek J., Sládek V.
pages 563 - 566, full text

Axisymmetric circular plates subjected to stationary and transient dynamic loads are analyzed in the presented paper. Effect of viscous damping is also considered. Dynamic loading with impact and stepped time history is taken into account. The governing equation for the bending of plate represented by partial differential equation (PDE) of the fourth order is decomposed into two coupled PDEs of the second order. Clamped plate edge as a boundary condition is assumed. Axisymmetric assumptions reduce the problem to one dimensional. Each node is a center of 1-D interval subdomain. The weak-form on these small subdomains is applied to derive local integral equations with a unit step function as the test function. Moving least-squares (MLS) approximation technique is applied to obtain system of ordinary differential equations (ODE). Houbolt finite difference scheme is finally applied to solve this system of ODE for certain nodal unknowns.

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