Response of Uncertain Nonlinear Vibration Systems with 2D Matrix Functions |
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| Authors: | Wen Bangchun Zhang Yimin Liu Qiaoling |
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| Institution: | (1) School of Mechanical Engineering, Northeastern University, Shenyang, 110006, P.R. China;(2) Department of Mechanics, Jilin University of Technology, Changchun, 130025, P.R. China |
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| Abstract: | This paper extends the response of uncertain nonlinear vibration systems to vector-valued and matrix-valued functions. Random variables and system derivatives are conveniently arranged into 2D matrices. The method is based on a second order expansion of the governing equations and matrix calculus, Kronecker algebra are used in the mathematical development. The results derived are easily amenable to computational procedures. |
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| Keywords: | Response nonlinear random vibration random parameters vector-valued and matrix-valued functions |
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