A Modal Nonlinear Solution For Structural Elements Under Contact Constraints Imposed By Elastic Foundations
Author(s)
R.A.M. Silveira & P.B. Gonçalves
Abstract
A modal nonlinear solution for structural
elements under contact constraints
imposed by elastic foundations
R.A.M. SilveW & P.B. Oonfalves"
' Civil Engineering Department, School of Mines,
University Federal of Ouro Preto, Brazil
* Civil Engineering Department, PUC-Rio, Brazil
Abstract
A nonlinear modal solution methodology capable of solving equilibrium and
stability problems of structural systems (beams and arches) with contact
constraints is presented in this work. The contact constraints are imposed by
elastic foundations of the Winkler type, where special attention is given to the
case in which the foundation reacts in compression only, characterizing the
contact as unilateral. A Ritz type approach with moveable boundaries is proposed
to solve this class of unilateral contact problems. The proposed methodology is
illustrated by particular problems involving beam-columns and arches, and the
results are compared with available results obtained by finite element and
math
Keywords
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