A Simple Frequency Formulation for the Tangent Oscillator
Keyword(s):
The frequency of a nonlinear vibration system is nonlinearly related to its amplitude, and this relationship is critical in the design of a packaging system and a microelectromechanical system (MEMS). This paper proposes a straightforward frequency prediction method for nonlinear oscillators with arbitrary initial conditions. The tangent oscillator, the hyperbolic tangent oscillator, a singular oscillator, and a MEMS oscillator are chosen to elucidate the simple solving process. The results, when compared with those obtained by the homotopy perturbation method, exhibit a good agreement. This paper introduces a very convenient procedure for attaining quick and accurate insight into the vibration property of a nonlinear vibration system.
2016 ◽
Vol 28
(1)
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pp. 015005
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2011 ◽
Vol 295-297
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pp. 2197-2200
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2014 ◽
Vol 50
(3)
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pp. 100
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2010 ◽
Vol 2010
(0)
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pp. _1C23-1_-_1C23-7_
2019 ◽
Vol 39
(1)
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pp. 114-128
1990 ◽
Vol 56
(527)
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pp. 1645-1653
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2020 ◽
pp. 146134842090517
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2004 ◽
Vol 2004
(0)
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pp. _117-1_-_117-5_