Comparative analysis of linear and non-linear free vibrations of harmonic oscillator

نویسندگان

چکیده

Free vibrations of a harmonic oscillator in the form mathematical pendulum linear and nonlinear formulations are considered. Their comparative analysis is carried out as conservative system with one degree freedom. To solve differential equation, finite difference method Euler’s scheme used. Specific examples given, limits deviations angles, at which solutions problems practically coincide, determined. The law potential kinetic energy sum conservation used for oscillations systems. conclusions drawn practical application results obtained.

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ژورنال

عنوان ژورنال: E3S web of conferences

سال: 2021

ISSN: ['2555-0403', '2267-1242']

DOI: https://doi.org/10.1051/e3sconf/202128101028