Nonlinear vibrations of piles in viscoelastic foundations

Sapountzakis, EJ; Kampitsis, AE

dc.contributor.author	Sapountzakis, EJ	en
dc.contributor.author	Kampitsis, AE	en
dc.date.accessioned	2014-03-01T02:53:23Z
dc.date.available	2014-03-01T02:53:23Z
dc.date.issued	2011	en
dc.identifier.issn	17433509	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/36280
dc.subject	Boundary element method	en
dc.subject	Large deflections	en
dc.subject	Nonlinear vibrations	en
dc.subject	Piles	en
dc.subject	Shear deformation coefficients	en
dc.subject	Timoshenko beam	en
dc.subject	Viscoelastic foundation	en
dc.title	Nonlinear vibrations of piles in viscoelastic foundations	en
heal.type	conferenceItem	en
heal.identifier.primary	10.2495/ERES110131	en
heal.identifier.secondary	http://dx.doi.org/10.2495/ERES110131	en
heal.publicationDate	2011	en
heal.abstract	In this paper, a boundary element method is developed for the nonlinear dynamic analysis of piles of arbitrary doubly symmetric simply or multiply connected constant cross section, partially embedded in viscoelastic foundations, undergoing moderate large deflections under general boundary conditions, taking into account the effects of shear deformation and rotary inertia. The pile is subjected to the combined action of arbitrarily distributed or concentrated transverse loading and bending moments in both directions as well as to axial loading. To account for shear deformations, the concept of shear deformation coefficients is used. Five boundary value problems are formulated with respect to the transverse displacements, to the axial displacement and to two stress functions and solved using the Analog Equation Method, a BEM based method. Application of the boundary element technique yields a nonlinear coupled system of equations of motion. The solution of this system is accomplished iteratively by employing the average acceleration method in combination with the modified Newton Raphson method. The evaluation of the shear deformation coefficients is accomplished from the aforementioned stress functions using only boundary integration. The proposed model takes into account the coupling effects of bending and shear deformations along the member as well as the shear forces along the span induced by the applied axial loading. Numerical examples are worked out to illustrate the efficiency, wherever possible the accuracy and the range of applications of the developed method. © 2011 WIT Press.	en
heal.journalName	WIT Transactions on the Built Environment	en
dc.identifier.doi	10.2495/ERES110131	en
dc.identifier.volume	120	en
dc.identifier.spage	151	en
dc.identifier.epage	161	en