The Krylov–Bogoliubov–Mitropolsky method for modeling a forced damped quadratic pendulum oscillator
نویسندگان
چکیده
In the present investigation, a quadratically forced damped pendulum-type equation is solved analytically using several effective and highly accurate approaches. Some different types of pendulum oscillators linked to terms, in addition power damping term, are analyzed. first part, Krylov–Bogoliubov–Mitropolsky (KBM) technique ansatz method carried out for analyzing oscillator. second two variants KBM implemented investigating symmetric approximations derived compared with fourth-order Runge–Kutta numerical approximation. addition, maximum distance error estimated whole study domain ensuring that all obtained accurate. The results illustrated through concrete examples.
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ژورنال
عنوان ژورنال: AIP Advances
سال: 2023
ISSN: ['2158-3226']
DOI: https://doi.org/10.1063/5.0159852