Analysis of a nonlinear oscillator with discontinuity

Authors:
D. Q. Zeng;Y.Y Lee;C. K. Wong
Affiliations:
Key Laboratory of Numerical Simulation of Sichuan Province, Neijiang, Sichuan 641112, China and College of Mathematics and Information Science, Neijiang Normal University, Neijiang, Sichuan 641112 ...;Department of Building and Construction, City University of Hong Kong, Kowloon Tong, Kowloon, Hong Kong;Department of Building and Construction, City University of Hong Kong, Kowloon Tong, Kowloon, Hong Kong
Venue:
Computers & Mathematics with Applications
Year:
2010

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Abstract

In this paper, a nonlinear oscillator with discontinuity is analyzed using He's amplitude-frequency formulation. The natural frequency of the oscillator system can be obtained using concise and straightforward calculation steps. Good agreement between the results from the proposed and other classical approaches is reached.