Abstract
The stochastic central difference and stochastic Houbolt methods are introduced in this paper for the computation of the response of complex structures of nonstationary random excitations. The structures are approximated by the finite element method such that they can be treated as multi-degree-of-freedom systems. These methods can be regarded as equivalents to their deterministic counterparts. They have the potential to deal with highly nonlinear structures and mechanical systems. Stability of algorithms are also reviewed and discussed. It is concluded that within the domain of Newtonian dynamics any attempt to address quantitatively the issue of stability in the nonlinear regime would be futile. Results computed by the stochastic central difference method for two linear multi-degree-of-freedom systems are compared with those obtained by Ito's calculus approach. The implication of the numerical results is discussed.
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