Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
805937 | Probabilistic Engineering Mechanics | 2016 | 8 Pages |
In this paper an integral transform approach for solving a class of initial-boundary-value problems involving linear stochastic partial differential equations (SPDEs) encountered in engineering mechanics applications is presented. The stochastic solution is represented in the complex zz-plane, and is inspired by the corresponding approach to deterministic PDEs already established in the literatures. In this regard, it is noted that the determination of relevant correlation function and spectral density of the solution is expedited because of the induced separability of the displacementxx, and the timettin their representations. For three kinds of SPDEs on the half-line {0