An Equivalent Nonlinearization Method for Analysing Response of Nonlinear Systems to Random Excitations

Zhao Lei; Chen Qiu

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Article Navigation > Applied Mathematics and Mechanics > 1997 > 18(6): 513-521

Zhao Lei, Chen Qiu. An Equivalent Nonlinearization Method for Analysing Response of Nonlinear Systems to Random Excitations[J]. Applied Mathematics and Mechanics, 1997, 18(6): 513-521.

Citation:

Zhao Lei, Chen Qiu. An Equivalent Nonlinearization Method for Analysing Response of Nonlinear Systems to Random Excitations[J]. Applied Mathematics and Mechanics, 1997, 18(6): 513-521.

Citation:

Zhao Lei, Chen Qiu. An Equivalent Nonlinearization Method for Analysing Response of Nonlinear Systems to Random Excitations[J]. Applied Mathematics and Mechanics, 1997, 18(6): 513-521.

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An Equivalent Nonlinearization Method for Analysing Response of Nonlinear Systems to Random Excitations

Zhao Lei¹,
Chen Qiu²

1.
Southwest Jiaotong University, Chengdu 610031, P. R. China

Received Date: 1995-07-24
Publish Date: 1997-06-15

Abstract

Abstract

In this paper, a hew equivalent nonlinearization method is developed and used in analysing the response of nonlinear systems to Gaussian white noise excitation. Its basic idea and calculation method are expounded. With the help of the presented method several kinds of usual nonlinear random vibration systems are analyzed The numerical results show that the mean square responses of the proposed approach are much closer to the exact solutions or Monte Carlo solutions, than that obtained from equivalent linearization method.
- nonlinear system,
- random vibration,
- equivalent nonlinearization method,
- mean square response

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References(9)

References

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