APPLICATION OF A HYBRID WKB-GALERKIN METHOD TO A NONLINEAR PLATE DYNAMIC PROBLEM WITH TIME DEPENDENT DAMPING COEFFICIENT

Olga Ganilova, Victor Gristchak

The objective of the analysis is to obtain a closed form approximate analytical solution for the nonlinear differential equation of a loaded plate considering a time variant damping coefficient. The solution of the problem is obtained by using perturbation and a hybrid WKB-Galerkin method. Results are presented of comparison of the solutions based on different approaches.

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