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《Journal of Zhejiang University(Engineering Science)》 2010-01
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Semi-analytical solution of elastic circular arch under horizontal random seismic excitation

WU Yu-hua 1,2 ,LOU Wen-juan1 (1.Department of Civil Engineering,Zhejiang University,Hangzhou 310027,China;2.Zhijiang College,Zhejiang University of Technology,Hangzhou 310024,China)  
Combining pseudo-excitation method and Galerkin method,the semi-analytical solution of elastic circular arch's random responses under horizontal random seismic excitation was studied.The dynamical equilibrium differential equations of circular arch were established and then transformed into a system of linear ordinary differential equations by choosing appropriate trial functions and using Galerkin method.The closed-form solution of random vibration and the approximate solution of power spectrum density of response were solved by assuming pseudo-excitation load and using the deterministic method.The method is also applicable to the non-orthogonal damping due to unnecessarily calculating the mode shape of arch.A numerical example was given to demonstrate the accuracy of the proposed method by comparing the results with those of finite element method.The method is highly efficient and convenient by using a few trial functions when the trial functions are very close to the mode shape of the circular arch.
【CateGory Index】: TU311.3
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