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Equivalent Linearization Method Based on Energy-to-cth-Power Difference Criterion in Nonlinear Stochastic Vibration Analysis of Multi-Degree-of-Freedom Systems

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Abstract

Basic equations of energy-to-cth-power difference criterion were derived for multi-degree-of-freedom (MDOF) systems subjected to stationary Gaussian excitations with non-zero mean. Modal transform technique was used in order to reduce unknowns. Main computational formulae were presented and suggested values of c were given. Numerical results show that the method of this paper prevails over equation difference criterion both in accuracy and in simplicity.

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Authors and Affiliations

  1. Key Laboratory of Solid Mechanics of MOE, Department of Engineering Mechanics and Technology, Tongji University, Shanghai, 200092, P R China

    Guo-yan Wang

  2. Institute of Mathematics and Department of Financial Mathematics, School of Mathematical Sciences, Peking University, Beijing, 100871, P R China

    Min Dai

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  1. Guo-yan Wang
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  2. Min Dai
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Wang, Gy., Dai, M. Equivalent Linearization Method Based on Energy-to-cth-Power Difference Criterion in Nonlinear Stochastic Vibration Analysis of Multi-Degree-of-Freedom Systems. Applied Mathematics and Mechanics 22, 947–955 (2001). https://doi.org/10.1023/A:1016350528462

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  • DOI: https://doi.org/10.1023/A:1016350528462

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