Statistical Linearization Method for the Piecewise Nonlinear Systems

5th International Conference on Environmental Science and Civil Engineering

生态环境科学;土木建筑工程

Li, L.Y.^1 ; Huang, B.Y.^1

Dalian University of Technology, Dalian, LIAONING

116024, China^1

关键词: Equivalent linearization;    Linearization methods;    Monte Carlo numerical simulations;    Piece-wise;    Random vibrations;    Statistical characteristics;    Statistical linearization;    Time history analysis;   

Others  :  https://iopscience.iop.org/article/10.1088/1755-1315/283/1/012065/pdf
DOI  :  10.1088/1755-1315/283/1/012065

来源: IOP

【 摘 要 】

The Monte-Carlo numerical simulation method is applied to obtain the approximate probability distributions of the response of the piecewise nonlinear systems to random excitation. The expression of the equivalent linearization parameters for the piecewise nonlinear system is derived by the proposed statistical linearization method. To illustrate the accuracy of the linearization method, the present paper has compared the statistical characteristic value obtained by both the Monte Carlo numerical simulation method and the Statistical linearization method, while the time history analysis also shows a good agreement. Linearization of piecewise stiffness nonlinear model is displayed.