Nonlinear Dynamic Analysis of Shear Deformable Beam-Columns on Nonlinear Three-Parameter Viscoelastic Foundation. II: Applications and Validation

摘要

The nonlinear dynamic analysis of beam-columns undergoing moderate large deflections and partially supported on a nonlinear three-parameter viscoelastic foundation is presented, taking into account the effects of shear deformation and rotary inertia and employing the boundary element method (BEM). The beam’s constant cross section is an arbitrarily shaped, doubly symmetric simply or multiply connected one, while its edges are supported by the most general boundary conditions. In Part I the governing equations have been derived, leading to five boundary-value problems with respect to the transverse displacements, to the axial displacement, and to two stress functions. These problems are numerically solved using the analog equation method, a BEM-based method. In Part II the numerical applications are worked out to illustrate the efficiency, and wherever possible the accuracy and range of applications of the proposed method. Thus, the results obtained from the developed method are presented compared with those obtained from the literature and from finite-element software. More specifically, the linear analysis of a simply supported beam-column on a Pasternak-viscoelastic foundation, the nonlinear analysis of a clamped beam-column on a viscoelastic or nonlinear three-parameter viscoelastic foundation, and the nonlinear analysis of a partially embedded column-pile in a nonlinear three-parameter viscoelastic foundation are presented and discussed through applications of particular interest.