An Improved Amplitude-frequency Formulation for Nonlinear Oscillators

By Ji-Huan He. 2008

180 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Computational Mechanics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/80c919686978b44ade5a94c8398acff777c6aa32

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Biomedical Engineering

1. G. Domairry
2. Mahmoud Bayat
3. I. Pakar
4. D. Domiri Ganji
5. Mohsen Sheikholeslami

In Computational Mechanics

1. G. Domairry
2. Mahmoud Bayat
3. I. Pakar
4. Mohsen Sheikholeslami
5. D. Domiri Ganji

In Modeling and Simulation

1. G. Domairry
2. Mahmoud Bayat
3. I. Pakar

Citations in the corpus

• Recent developments of some asymptotic methods and their applications for nonlinear vibration equations in engineering problems: a review (2012, background): “1 Basic idea of Improved Amplitude-Frequency Formulation 651 We consider a generalized nonlinear oscillator in the form [109]: 652”
• The simpler, the better: Analytical methods for nonlinear oscillators and fractional oscillators (2019, unknown): “According to energy conservation, we have 1 2 u02 þ FðuÞ ¼ 1 2 u020 þ Fðu0Þ (32) If we begin with uðtÞ ¼ Acosxt, we have the following equation 1 2 A2x2sin2xtþ FðAcosxtÞ FðAÞ ¼ 0 (33) or x2 ¼ 2ðFðAÞ FðAcosxtÞÞ A2sin2xt (34) Using the weighted average, the frequency can be easily determined.”