Journal
JOURNAL OF LOW FREQUENCY NOISE VIBRATION AND ACTIVE CONTROL
Volume 38, Issue 3-4, Pages 914-917Publisher
SAGE PUBLICATIONS LTD
DOI: 10.1177/1461348418822135
Keywords
Hyperbolic tangent oscillator; nonlinear packaging system; homotopy perturbation method
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Funding
- National Sci-tech Support Plan Program of the 12th Five-year Plan [2015BAD16B05]
- Tianjin Natural Science Foundation Program [17JCTPJC55800]
- Tianjin Fundamental Research Funds for the Comprehensive Investment in 13th Five-Year
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This paper studies a hyperbolic tangent oscillator arising in a nonlinear packaging system. The high-order nonlinearity makes it difficult to study the system analytically. A modified homotopy perturbation method is proposed, where the initial guess is an approximate solution of the well-known Duffing oscillator; the solution accuracy can be improved by either improvement of the initial guess or continuous iteration. This paper gives a general approach to high-order nonlinear oscillators.
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