EFFICIENT SOLUTION OF DIFFERENTIAL EQUATIONS FOR LINEAR AND NON-LINEAR ANALYSIS OF STRUCTURES

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RAHAMI H.; KAVEH A.; MIRHOSSEINI S.M.

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Journal Paper

Paper Information

Journal: ASIAN JOURNAL OF CIVIL ENGINEERING (BUILDING AND HOUSING) Year:2013 | Volume:14 | Issue:6 Page(s): 831-847

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Title

EFFICIENT SOLUTION OF DIFFERENTIAL EQUATIONS FOR LINEAR AND NON-LINEAR ANALYSIS OF STRUCTURES

Author(s)

RAHAMI H. | KAVEH A. | MIRHOSSEINI S.M. | Issue Writer Certificate

Keywords

STATIC AND DYNAMIC RESPONSE OF STRUCTURES

EIGENVALUES AND EIGENVECTORS

TRIDIAGONAL MATRICES

SEISMIC LOADING

Abstract

In this paper using the EIGENVALUES AND EIGENVECTORS of symmetric and asymmetric of TRIDIAGONAL MATRICES with infinite dimension, inverse of these matrices are found. Moreover numerical method of finite difference is used for numerical modeling of engineering problems. Many engineering problems modeled by numerical methods result in solution of linear systems. Many of these linear systems are in tri-diagonal form. The inverse of this kinds of matrices have many applications. In this paper, response of linear and nonlinear structures resulting from different types of arbitrary dynamics and statics analyses are presented. The method of this paper provides closed form solutions for the analysis of structures under different static and SEISMIC LOADINGs.

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APA: Copy

RAHAMI, H., KAVEH, A., & MIRHOSSEINI, S.M.. (2013). EFFICIENT SOLUTION OF DIFFERENTIAL EQUATIONS FOR LINEAR AND NON-LINEAR ANALYSIS OF STRUCTURES. ASIAN JOURNAL OF CIVIL ENGINEERING (BUILDING AND HOUSING), 14(6), 831-847. SID. https://sid.ir/paper/299084/en

Vancouver: Copy

RAHAMI H., KAVEH A., MIRHOSSEINI S.M.. EFFICIENT SOLUTION OF DIFFERENTIAL EQUATIONS FOR LINEAR AND NON-LINEAR ANALYSIS OF STRUCTURES. ASIAN JOURNAL OF CIVIL ENGINEERING (BUILDING AND HOUSING)[Internet]. 2013;14(6):831-847. Available from: https://sid.ir/paper/299084/en

IEEE: Copy

H. RAHAMI, A. KAVEH, and S.M. MIRHOSSEINI, “EFFICIENT SOLUTION OF DIFFERENTIAL EQUATIONS FOR LINEAR AND NON-LINEAR ANALYSIS OF STRUCTURES,” ASIAN JOURNAL OF CIVIL ENGINEERING (BUILDING AND HOUSING), vol. 14, no. 6, pp. 831–847, 2013, [Online]. Available: https://sid.ir/paper/299084/en

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