Computational formulation for periodic vibration of geometrically nonlinear structures—part 2: Numerical strategy and examples

In this paper the numerical strategy for solving the matrix amplitude equation with parameter is discussed in detail. The matrix amplitude equation is the result of application of the Galerkin method for analysis of periodic solutions of the geometrically nonlinear structures. A theoretical background of the proposed method of analysis is given in a companion paper by Lewandowski [Lewandowski, R. (1996). Computational formulation for periodic vibration of geometrically nonlinear structuretpart 1 : theoretical background. International Journal of SolidF and Structures 34(15), 1925-19471. An example application of general theory is also presented. Numerical results are given and discussed to show some interesting behaviors of nonlinear structures and to illustrate the numerical efficiency and validity of the suggested method. 0 1997 Elsevier Science Ltd.