مقایسه‌ی اهتزازات هارمونیکی و غیرهارمونیکی

Abstract

This article compares harmonic and non-harmonic vibrations theoretically, examining the main differences between the two. Any periodic and repetitive motion around the position of equilibrium is referred to as vibrational motion. In vibrational motion, there is a constant conversion of kinetic energy into potential energy and vice versa. Harmonic vibrations have potential energy given by Ep=12kx2E_p = \frac{1}{2}kx^2Ep​=21​kx2, and their potential energy graph is parabolic. Their frequency is given by ω=Cm\omega = \sqrt{\frac{C}{m}}ω=mC​​, and higher harmonics occur at frequencies of 2ω2\omega2ω, 3ω3\omega3ω, 4ω4\omega4ω, etc. Non-harmonic vibrations, on the other hand, have limits that are linear or nonlinear and exhibit slight deviations from simple harmonic motion. Non-harmonic vibrations are characterized by potential energy that is not parabolic.