Nonlinear response of a beam under stationary random excitation by improved stochastic linearization method

The new stochastic linearization technique is employed to investigate the nonlinear mean square response of a beam with artitrary boundary conditions under time-dependent stationary random excitation. To demonstrate the accuracy of this new method, mean square response is obtained through both the new and conventional versions of the stochastic linearization technique. An example of a beam with both ends simply supported is presented for the case of white noise excitation to illustrate the present method. Numerical simulations are performed to check the accuracy of the modified technique. It is shown that the modified version can yield more accurate results for the mean square response of the beam than the conventional stochastic linearization technique, especially when there exists a large nonlinearity.