High Efficiency Computation of the Variances of Structural Evolutionary Random Responses

For structures subjected to stationary or evolutionary white/colored random noise, their various response variances satisfy algebraic or differential Lyapunov equations. The solution of these Lyapunov equations used to be very difficult. A precise integration method is proposed in the present paper,...

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Main Authors: J.H. Lin, D.K. Sun, W.X. Zhong, W.S. Zhang
Format: Article
Language:English
Published: Wiley 2000-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2000/178090
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author J.H. Lin
D.K. Sun
W.X. Zhong
W.S. Zhang
author_facet J.H. Lin
D.K. Sun
W.X. Zhong
W.S. Zhang
author_sort J.H. Lin
collection DOAJ
description For structures subjected to stationary or evolutionary white/colored random noise, their various response variances satisfy algebraic or differential Lyapunov equations. The solution of these Lyapunov equations used to be very difficult. A precise integration method is proposed in the present paper, which solves such Lyapunov equations accurately and very efficiently.
format Article
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institution Kabale University
issn 1070-9622
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language English
publishDate 2000-01-01
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record_format Article
series Shock and Vibration
spelling doaj-art-0c0ec1458b1842aa8bb56f83cf6c1eb12025-02-03T06:44:49ZengWileyShock and Vibration1070-96221875-92032000-01-017420921610.1155/2000/178090High Efficiency Computation of the Variances of Structural Evolutionary Random ResponsesJ.H. Lin0D.K. Sun1W.X. Zhong2W.S. Zhang3State Key Laboratory of Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116023, ChinaDept of Civil and Structural Engineering, Hong Kong Polytechnic University, Kowloon, Hung Hom, Hong KongState Key Laboratory of Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116023, ChinaDept of Civil and Structural Engineering, Hong Kong Polytechnic University, Kowloon, Hung Hom, Hong KongFor structures subjected to stationary or evolutionary white/colored random noise, their various response variances satisfy algebraic or differential Lyapunov equations. The solution of these Lyapunov equations used to be very difficult. A precise integration method is proposed in the present paper, which solves such Lyapunov equations accurately and very efficiently.http://dx.doi.org/10.1155/2000/178090
spellingShingle J.H. Lin
D.K. Sun
W.X. Zhong
W.S. Zhang
High Efficiency Computation of the Variances of Structural Evolutionary Random Responses
Shock and Vibration
title High Efficiency Computation of the Variances of Structural Evolutionary Random Responses
title_full High Efficiency Computation of the Variances of Structural Evolutionary Random Responses
title_fullStr High Efficiency Computation of the Variances of Structural Evolutionary Random Responses
title_full_unstemmed High Efficiency Computation of the Variances of Structural Evolutionary Random Responses
title_short High Efficiency Computation of the Variances of Structural Evolutionary Random Responses
title_sort high efficiency computation of the variances of structural evolutionary random responses
url http://dx.doi.org/10.1155/2000/178090
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AT dksun highefficiencycomputationofthevariancesofstructuralevolutionaryrandomresponses
AT wxzhong highefficiencycomputationofthevariancesofstructuralevolutionaryrandomresponses
AT wszhang highefficiencycomputationofthevariancesofstructuralevolutionaryrandomresponses