Identification of the Nonlinear Vibration Characteristics Based on the Wiener Kernels

Yi Chun Ren; Yin Hua Yu

doi:10.4028/www.scientific.net/AMM.204-208.4668

Paper Titles

Experimental Study of Deformation Characteristic and Application on External Prestressed Wooden Beam
p.4647

Adaptive Moving Mesh Finite Element Method for Space Fractional Advection Dispersion Equation
p.4654

Test on Eccentricaly Loaded Four-Tube Concrete-Filled Steel Tubular (CFST) Laced Columns of No Yield Point
p.4658

Control Technology of Magneto-Rheological Damper Based on Impact Load
p.4664

Identification of the Nonlinear Vibration Characteristics Based on the Wiener Kernels
p.4668

Shock Wave Stress Concentration to Solve Large Drill-Jamming Problem
p.4673

A Novel RNA Genetic Algorithm for the Parameter Estimation of the Fluid Mechanics with Multiple Solutions
p.4679

A Coarse Grid Correction to Domain Decomposition Based Preconditioners for Meso-Scale Simulation of Concrete
p.4683

Fourier Analysis of the Effect of Non-Constant Terms on the Convergence Properties of SIMPLE Algorithm Formulated on a Staggered Grid
p.4688

HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 204-208Identification of the Nonlinear Vibration...

Identification of the Nonlinear Vibration Characteristics Based on the Wiener Kernels

Abstract:

Wiener series are the important functional series describing nonlinear system. If an input signal is the Gaussian white noise, the wiener kernels are estimated through calculating the cross-correlation functions of the input and output of a nonlinear system. In this paper, a single-DOF quadratic nonlinear system is identified by the Wiener series. The results show that the intensity of the nonlinear response can be expressed by the second-order kernel.

You might also be interested in these eBooks

Progress in Industrial and Civil Engineering

View Preview

Info:

Periodical:

Applied Mechanics and Materials (Volumes 204-208)

Pages:

4668-4672

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.204-208.4668

Citation:

Cite this paper

Online since:

October 2012

Authors:

Yi Chun Ren, Yin Hua Yu

Keywords:

Cross-Correlation Function, Nonlinear Vibration, System Identification, Wiener Kernel

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

References

[1] Neild S A, William M S, McFadden P D:Journal of structural engineering ,2003,129 ( 2),pp.260-268.

Google Scholar

[2] Yichun Ren, Weijian Yi: Engineering Mechanics.Vol.23(8) (2006),pp.90-95(in Chinese).

Google Scholar

[3] Weijian Yi, Suping Duan: Journal of Vibration and Shock.Vol.27(3) (2008),pp.26-29(in Chinese).

Google Scholar

[4] Licheng Jiao,The Theory and Applications of Nonlinear Transfer Function, Xi An, 1992(in Chinese).

Google Scholar

[5] JIAO L C:Science in china series A,1988,6,pp.649-657.

Google Scholar

[6] Haiyiing Yuan, Tieliu Wang, Guangyu Cheng: Chinese Journal of Scientific Instrument.Vol.28(5) (2007),pp.807-811( in Chinese).

Google Scholar

[7] Shirong Ying, Guangyu Cheng, Yongle Xie: Electronic Measurement Technology.Vol.30(2007),pp.116-129( in Chinese).

Google Scholar

[8] Yaan Li, Haiying Cui, Deming Xu: Journal of Detection and Control.Vol.6(2001),pp.53-56( in Chinese).

Google Scholar

[9] Deweng Hu, Zhengzhi Wang: Acta Automation Sinica.Vol.17(1991),pp.151-159( in Chinese).

Google Scholar

[10] Lan Liu, Zheng Hu, Xiaoqing Hang: Journal of Wuhan University of Technology.Vol. 21(1999),pp.51-53( in Chinese).

Google Scholar

[11] Schetzen, M: The Volterra and Weiner series of nonlinear systems, Wiley, New York., 1980.

Google Scholar

[12] Pavlenko,o,v: Journal of Engineering Mechanics. Vol.130(7) (2004),pp.836-847.

Google Scholar