Closed-Form Solutions to a Forced Damped Rotational Pendulum Oscillator
نویسندگان
چکیده
In this investigation, some analytical solutions to both conserved and non-conserved rotational pendulum systems are reported. The exact solution the oscillator (unforced, undamped oscillator), is derived in form of a Jacobi elliptical function. Moreover, an approximate for case obtained trigonometric A comparison between examined. approximations oscillators including unforced, damped forced, obtained. Furthermore, all mentioned (conserved oscillators) linearized, their derived. addition, compared with four-order Runge–Kutta (RK4) numerical linearized oscillators. results can help several authors discussing interpreting results.
منابع مشابه
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ژورنال
عنوان ژورنال: Mathematics
سال: 2022
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math10214000