Non-linear analysis of plates by the analog equation method

JT Katsikadelis, MS Nerantzaki - Computational mechanics, 1994 - Springer
Computational mechanics, 1994Springer
Abstract The Analog Equation Method is applied to large deflection analysis of thin elastic
plates. The von-Kármán plate theory is adopted. The deflection and the stress function of the
non-linear problem are established by solving two linear uncoupled plate bending problems
under the same boundary conditions subjected to “appropriate”(equivalent) fictitious loads.
Numerical examples are presented which illustrate the efficiency and the accuracy of the
proposed method.
Abstract
The Analog Equation Method is applied to large deflection analysis of thin elastic plates. The von-Kármán plate theory is adopted. The deflection and the stress function of the non-linear problem are established by solving two linear uncoupled plate bending problems under the same boundary conditions subjected to “appropriate” (equivalent) fictitious loads. Numerical examples are presented which illustrate the efficiency and the accuracy of the proposed method.
Springer
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