ANALYTICAL SOLUTION OF THE DYNAMIC RESPONSE OF SUSPENSION BRIDGE TOWER–PIER SYSTEMS WITH DISTRIBUTED MASS TO BASE EXCITATION
✍ Scribed by C.J. YOUNIS; D.E. PANAYOTOUNAKOS
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 263 KB
- Volume
- 229
- Category
- Article
- ISSN
- 0022-460X
No coin nor oath required. For personal study only.
✦ Synopsis
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 sti!ness 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 de#ections 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 di!erential equation of motion of the tower, and applying the Galerkin method, a system of ordinary di!erential 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 a!ected by the involved sti!ness and damping coe$cients, 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-sti!ness distribution.