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Full-Text Articles in Engineering
Max-Min Approach To Nonlinear Oscillators, Ji-Huan He
Max-Min Approach To Nonlinear Oscillators, Ji-Huan He
Ji-Huan He
This paper suggests a novel method called max-min method. Maximal and minimal solution thresholds of a nonlinear problem can be easily found, and an approximate solution of the nonlinear equation can be easily deduced using He Chengtian’s interpolation, which has millennia history. Application of the method to nonlinear oscillators is systematically illustrated, illustrating examples show the present technology is very convenient and effective
Comment On ‘He’S Frequency Formulation For Nonlinear Oscillators’, Ji-Huan He
Comment On ‘He’S Frequency Formulation For Nonlinear Oscillators’, Ji-Huan He
Ji-Huan He
Geng and Cai suggested a modified He’s frequency–amplitude formulation for nonlinear oscillators (Geng and Cai 2007 Eur. J. Phys. 28 923–31). We point out the accuracy of both the original one and the modified version depends upon the chosen location point, and so far we have no general rule for the location choice. The method of weighted residuals is suggested to overcome the shortcoming.
An Improved Amplitude-Frequency Formulation For Nonlinear Oscillators, Ji-Huan He
An Improved Amplitude-Frequency Formulation For Nonlinear Oscillators, Ji-Huan He
Ji-Huan He
A brief introduction to amplitude-frequency formulae for nonlinear oscillators is given, an improved one is suggested