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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/24405

Title: An alternative method for transient and random responses of structures subject to support motions
Authors: J.T. Chen;D.H. Tsaur;H.-K. Hong
Contributors: NTOU:Department of Harbor and River Engineering
Keywords: Stokes' transformation;support motions;random response;series solution
Date: 1997-02
Issue Date: 2011-10-20T08:12:12Z
Publisher: Engineering Structures
Abstract: abstract:In this paper, we propose the Stokes' transformation technique for extracting the finite part of divergent series resulting from modal dynamic analysis for support motion problems. From the computational point of view, Stokes' transformation is the best method as not only does it avoid calculating the quasistatic solution, it also has the same convergence rate as the mode acceleration method. It is found that the present method should only integrate a known series instead of solving a partial differential equation WIDE) for the quasistatic solution. The general formulation for a finite elastic body subjected to support motions is derived. Finally, two examples, a shear and a flexural beam subjected to multisupport motions, are analysed. Both derivations for transient and statistical responses are considered. The numerical results for random responses are compared with the quasistatic decomposition method proposed by Mindlin and Goodman and the exact solution by Tsaur. Good agreement is obtained.
Relation: 19(2), pp.162–172
URI: http://ntour.ntou.edu.tw/handle/987654321/24405
Appears in Collections:[河海工程學系] 期刊論文

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