Analytical solution of the dynamic response of suspension bridge tower-pier systems with distributed mass to base excitation

Younis, CJ; Panayotounakos, DE

dc.contributor.author	Younis, CJ	en
dc.contributor.author	Panayotounakos, DE	en
dc.date.accessioned	2014-03-01T01:49:46Z
dc.date.available	2014-03-01T01:49:46Z
dc.date.issued	2000	en
dc.identifier.issn	0022-460X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/25911
dc.subject.classification	Acoustics	en
dc.subject.classification	Engineering, Mechanical	en
dc.subject.classification	Mechanics	en
dc.title	Analytical solution of the dynamic response of suspension bridge tower-pier systems with distributed mass to base excitation	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2000	en
heal.abstract	The response of a tower-pier system with distributed mass, along the tower, to harmonic ground excitation is studied. The system rests on viscoelastic soil, the stiffness and damping of which are duly taken into account. The action of the suspension bridge cables is represented by an equivalent horizontal spring at the top of the tower. An analytic solution for the deflections of the tower is proposed consisting of two parts: (a) a response of the tower obeying the non-homogeneous boundary conditions of the problem and (b) a series of products of each of the orthogonal eigenfunctions multiplied by a corresponding time function. Substituting the above solution into the partial differential equation of motion of the tower, and applying the Galerkin method, a system of ordinary differential equations results, the solution of which furnishes the deformation of the tower. A parametric study is performed, resulting in detailed stress distributions along the tower, stresses at critical points, exact dynamic response of the pier, etc., as affected by the involved stiffness and damping coefficients, loading characteristics, mass distributions, etc. The solution presented can be considered as suitable for the analysis of the response of heavy towers! since it can handle any tower-mass distribution and even any tower-stiffness distribution. (C) 2000 Academic Press.	en
heal.publisher	ACADEMIC PRESS LTD	en
heal.journalName	JOURNAL OF SOUND AND VIBRATION	en
dc.identifier.isi	ISI:000085134500002	en
dc.identifier.volume	229	en
dc.identifier.issue	3	en
dc.identifier.spage	467	en
dc.identifier.epage	490	en