| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4639974 | Journal of Computational and Applied Mathematics | 2011 | 23 Pages |
Abstract
Stability of a nonlinear elastic beam excited by a space-time dependent nonrandom force or a L2L2-regular random noise f(x,t)f(x,t) (white in time, with general spatial covariance) is considered. It is supposed that the transversal displacement yy of the beam with length ll is governed by the quasilinear partial differential equation (PDE) ρ0hytt+Dyxxxx−[N0+ε∫0l(yx′)2dx′]yxx+ky=f(x,t),0
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
B.P. Belinskiy, H. Schurz,