Equivalent linearization method using Gaussian mixture (GM-ELM) for nonlinear random vibration analysis

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• 作者：Ziqi Wang^a ; Junho Song^b ; ^{junhosong@snu.ac.kr}
• 关键词：Equivalent linearization ; First-passage probability ; Gaussian mixture ; Mean up-crossing rate ; Nonlinear analysis ; Random vibration ; Response spectrum
• 刊名：Structural Safety
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：64
• 期：Complete
• 页码：9-19
• 全文大小：1921 K
• 卷排序：64

文摘

Equivalent linearization method is invented for nonlinear random vibration analysis. Gaussian mixture model is fitted to nonlinear dynamic response via optimization. GM-ELM can capture the non-Gaussianity of the nonlinear response effectively. GM-ELM can compute crossing rate, first-passage probability and mean peak response. Numerical examples show GM-ELM is highly accurate compared to the conventional ELM.