Vibration analysis of beams subjected to random excitation by the dual criterion of equivalent linearization

Abstract

In this paper responses of beams subjected to random loading are analyzed by the dual approach of the equivalent linearization method. The extemal random loading is assumed to be a space-wise and time-wise white noise m which the exact solutions of the modal equations can be found. A system of nonlinear algebraic equations for linearization coeffidents of the modal lineramed system is obtained in a dosed form and is solved by the fixed-point iteration method. Results obtained from the proposed dual criterion are compared with the exact solution and those obtamed from other approaches including energy methods and conventional linearixation method. It is observed that the solution obtained by the dual criterion is in good agreement with the exact solution, especially, in the case of strong nonlinearity of beam.