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A modified highly precise direct integration method for a class of linear time-varying systems 被引量:3
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作者 LIU XiaoMei ZHOU Gang +3 位作者 ZHU Shuai WANG YongHong SUN WeiRong WENG ShiLie 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS 2014年第7期1382-1389,共8页
It is always a bottleneck to design an effective algorithm for linear time-varying systems in engineering applications.For a class of systems,whose coefficients matrix is based on time-varying polynomial,a modified hi... It is always a bottleneck to design an effective algorithm for linear time-varying systems in engineering applications.For a class of systems,whose coefficients matrix is based on time-varying polynomial,a modified highly precise direct integration(VHPD-T method)was presented.Through introducing new variables and expanding dimensions,the system can be transformed into a timeinvariant system,in which the transfer matrix can be computed for once and used forever with a highly precise direct integration method.The method attains higher precision than the common methods(e.g.RK4 and power series)and high efficiency in computation.Some numerical examples demonstrate the validity and efficiency of the method proposed. 展开更多
关键词 linear time-varying system highly precise direct integration state transfer matrix Runge-Kutta method
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Research on Nonlinear Dynamic Characteristics ofStructures Supported on Slide-Limited Friction Base Isolation System
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作者 Fan Jian Tang Jiaxiang Department of Civil Engineering , Huazhong University of Science and Technology , Wuhan 430074 《Journal of China University of Geosciences》 SCIE CSCD 2001年第4期301-308,共8页
This paper presents a new type of base isolation system, i. e. , slide-limited friction (S-LF) base isolation system . Based on this system, the harmonic and subharmonic periodic response of S-LF subjected to harmonic... This paper presents a new type of base isolation system, i. e. , slide-limited friction (S-LF) base isolation system . Based on this system, the harmonic and subharmonic periodic response of S-LF subjected to harmonic motions is investigated by using Fourier-Galerkin-Newton (FGN) method with Flo-quet theory. The dynamic response of S-LF subjected to earthquake ground motions is calculated with a high order precision direct integration method, and the numerical results are presented in maximum acceleration response spectra of superstructure and maximum sliding displacement response spectrum form. The comparison of isolating effects of S-LF, pure-friction base isolation system (P-F) and resilient-friction base isolation system (R-FBI) shows that the isolating property of S-LF is superior to those of P-F and R-FBI. Finally, by analyzing an engineering example, it is observed that the distribution of the maximum shear between floors and absolute acceleration of S-LF to earthquake ground motion is very different from that of traditional structures. 展开更多
关键词 base isolation FRICTION slide-limited device precision direct integration method FGN method.
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