Homotopy Analysis Method for Large-Amplitude Free Vibrations of Strongly Nonlinear Generalized Duffing Oscillators
نویسندگان
چکیده
منابع مشابه
Frequency analysis of strongly nonlinear generalized Duffing oscillators using He's frequency-amplitude formulation and He's energy balance method
In this paper, He's Frequency-Amplitude Formulation (HFAF) and He's Energy Balance Method (HEBM) are employed to solve the generalized Duffing equation in the form of over (x, ̈) + x + α3 x3 + α5 x5 + α7 x7 + ⋯ + αn xn = 0 . For any arbitrary power of n, a frequency analysis is carried out and the relationship between the natural frequency and the initial amplitude is obtained in analytical form...
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ژورنال
عنوان ژورنال: Modern Mechanical Engineering
سال: 2012
ISSN: 2164-0165,2164-0181
DOI: 10.4236/mme.2012.24022