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Precise integration methods based on the Chebyshev polynomial of the first kind 被引量:2
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作者 Wang Mengfu F. T. K. Au 《Earthquake Engineering and Engineering Vibration》 SCIE EI CSCD 2008年第2期207-216,共10页
This paper introduces two new types of precise integration methods based on Chebyshev polynomial of the first kind for dynamic response analysis of structures, namely the integral formula method (IFM) and the homoge... This paper introduces two new types of precise integration methods based on Chebyshev polynomial of the first kind for dynamic response analysis of structures, namely the integral formula method (IFM) and the homogenized initial system method (HISM). In both methods, nonlinear variable loadings within time intervals are simulated using Chebyshev polynomials of the first kind before a direct integration is performed. Developed on the basis of the integral formula, the recurrence relationship of the integral computation suggested in this paper is combined with the Crout decomposed method to solve linear algebraic equations. In this way, the IFM based on Chebyshev polynomial of the first kind is constructed. Transforming the non-homogenous initial system to the homogeneous dynamic system, and developing a special scheme without dimensional expansion, the HISM based on Chebyshev polynomial of the first kind is able to avoid the matrix inversion operation. The accuracy of the time integration schemes is examined and compared with other commonly used schemes, and it is shown that a greater accuracy as well as less time consuming can be achieved. Two numerical examples are presented to demonstrate the applicability of these new methods. 展开更多
关键词 structural dynamics Chebyshev polynomial of the first kind the Crout decomposed method integral formula method homogenized initial system method
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Precise integration method without inverse matrix calculation for structural dynamic equations 被引量:2
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作者 汪梦甫 F.T.K.Au 《Earthquake Engineering and Engineering Vibration》 SCIE EI CSCD 2007年第1期57-64,共8页
The precise integration method proposed for linear time-invariant homogeneous dynamic systems can provide accurate numerical results that approach an exact solution at integration points. However, difficulties arise w... The precise integration method proposed for linear time-invariant homogeneous dynamic systems can provide accurate numerical results that approach an exact solution at integration points. However, difficulties arise when the algorithm is used for non-homogeneous dynamic systems due to the inverse matrix calculation required. In this paper, the structural dynamic equalibrium equations are converted into a special form, the inverse matrix calculation is replaced by the Crout decomposition method to solve the dynamic equilibrium equations, and the precise integration method without the inverse matrix calculation is obtained. The new algorithm enhances the present precise integration method by improving both the computational accuracy and efficiency. Two numerical examples are given to demonstrate the validity and efficiency of the proposed algorithm. 展开更多
关键词 structural dynamics numerical integration inverse matrix calculation matrix exponential function Crout decomposed method
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Weak and strong stabilization of linear systems
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作者 Mohamed OUZAHRA Hamid BOURRAY +1 位作者 Asmae KAMAL Rachid El AYADI 《控制理论与应用(英文版)》 EI 2009年第4期359-366,共8页
We study the problem of stabilizing a distributed linear system on a subregion of its geometrical domain. We are concerned with two methods: the first approach enables us to characterize a stabilizing control via the... We study the problem of stabilizing a distributed linear system on a subregion of its geometrical domain. We are concerned with two methods: the first approach enables us to characterize a stabilizing control via the steady state Riccati equation, and the second one is based on decomposing the state space into two suitable subspaces and studying the projections of the initial system onto such subspaces. The obtained results are performed through various examples. 展开更多
关键词 Linear systems Regional stabilization Riccati equation Decomposed method
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A PARTITIONING PARALLEL PROCEDURE FOR NUMERICAL SIMULATION OF GAS FLOW IN A CYCLONE SEPARATOR 被引量:4
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作者 Huang Rong-guo, Huan Bo-wen, Zhang Shu-ping (School of Power and Energy Engineering, Shanghai Jiaotong Univers ity, Shanghai 200240, China) 《Journal of Hydrodynamics》 SCIE EI CSCD 2002年第1期52-58,共7页
Based on the SIMPLE-C algori thm and the non-overlapping Domain Decomposition Method (DDM), in which the Dirichlet-N eumann alternative algorithm is employed, a partitioning parallel procedure was developed to numeri... Based on the SIMPLE-C algori thm and the non-overlapping Domain Decomposition Method (DDM), in which the Dirichlet-N eumann alternative algorithm is employed, a partitioning parallel procedure was developed to numerically simulate fluid flow in complex 3-D domains. It can well remove the limitation of speed and capacity of personal computer on large-scale numerical simulation of complex 3-D domains. In this paper, the 3-D turbulent swirling gas flow in cyclone separator was simulated. In view of the physica l reality, the computational results are bascally reasonable. 展开更多
关键词 SIMPLE-C algorithm Domain Decompos ition Method (DDM) Dirichlet-Neumann alternative algorithm cyclone separator
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