Применение теории R-функций к исследованию нелинейных колебаний композитных пластин сложной формы

Abstract

The problem of nonlinear free vibrations of composite laminated plates with complex planform and different boundary conditions is considered. The mathematical statement of the task is carried out using the Timoshenko type theory. The problem was solved by the R-function theory, varitional methods and the Bubnov-Galyorkin method. The comparison of obtained results for composite plate, with known results is carried out, that confirms effectiveness and reliability of the offered method