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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Wen, B., Zhang, Y. & Liu, Q. Response of Uncertain Nonlinear Vibration Systems with 2D Matrix Functions. Nonlinear Dynamics 15, 179–190 (1998). https://doi.org/10.1023/A:1008227108731
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DOI: https://doi.org/10.1023/A:1008227108731