Direct time integration methods are usually applied to determine the dynamic response of systems with local nonlinearities. Nevertheless, these methods are computationally expensive to predict the steady state response. To significantly reduce the computational effort, a new approach is proposed for the multiharmonic response analysis of dynamical systems with local nonlinearities. The approach is based on the describing function (DF) method and linear receptance data. With the DF method, the kinetic equations are converted into a set of complex algebraic equations. By using the linear receptance data, the dimension of the complex algebraic equations, which should be solved iteratively, are only related to nonlinear degrees of freedom (DOFs). A cantilever beam with a local nonlinear element is presented to show the procedure and performance of the proposed approach. The approach can greatly reduce the size and computational cost of the problem. Thus, it can be applicable to large-scale systems with local nonlinearities.
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June 2010
Research Papers
Multiharmonic Response Analysis of Systems With Local Nonlinearities Based on Describing Functions and Linear Receptance
F. Wei,
F. Wei
Department of Space Engineering and Applied Mechanics,
e-mail: weifei1983@gmail.com
Harbin Institute of Technology
, P. O. Box 137, Harbin 150001, China
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G. T. Zheng
G. T. Zheng
School of Aerospace,
Tsinghua University
, P. O. Box 20, Beijing 100084, China
Search for other works by this author on:
F. Wei
Department of Space Engineering and Applied Mechanics,
Harbin Institute of Technology
, P. O. Box 137, Harbin 150001, Chinae-mail: weifei1983@gmail.com
G. T. Zheng
School of Aerospace,
Tsinghua University
, P. O. Box 20, Beijing 100084, ChinaJ. Vib. Acoust. Jun 2010, 132(3): 031004 (6 pages)
Published Online: April 22, 2010
Article history
Received:
February 27, 2009
Revised:
September 11, 2009
Online:
April 22, 2010
Published:
April 22, 2010
Citation
Wei, F., and Zheng, G. T. (April 22, 2010). "Multiharmonic Response Analysis of Systems With Local Nonlinearities Based on Describing Functions and Linear Receptance." ASME. J. Vib. Acoust. June 2010; 132(3): 031004. https://doi.org/10.1115/1.4000781
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