Behavior of Stochastic Shear Beams Under Random Loading via Stochastic Variational Principles

✍ Scribed by N. Impollonia

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 358 KB
• Volume: 9
• Category: Article
• ISSN: 0960-0779
• DOI: 10.1016/s0960-0779(98)00049-6

✦ Synopsis

In this study we derive\ apparently for the _rst time in the literature\ some exact solutions for the shear beams with stochastic ~exibility\ when these beams are acted upon by the random loading[ The importance of these solutions lies in the fact that they can serve as benchmark solutions\ to which the approximate solutions of various nature can be compared[ Then we formulate stochastic variational principles\ the _rst principle governs the behavior of the mean displacement\ whereas the second principle is satis_ed by the displacement|s covariance function[ These variational principles allow us to formulate approximate techniques for the cases in which the exact solution is presently unavailable[ In particular\ we develop a stochastic version of the RayleighÐRitz method[ Several examples are evaluated to shed more light on the probabilistic behavior of randomly excited structures possessing random ~exibility[ Þ 0887 Elsevier Science Ltd[ All rights reserved