Is using a swing an example of normal or of parametric resonance?
Parametric resonance is a situation where the driving frequency is a multiple of the eigenfrequency. Various people say that using a swing and propelling it oneself is such a …
Parametric Resonance Analysis using Perturbative approach
2021年9月21日 · I'm reading Parametric Resonance from Landau's Mechanics Text. A similar calculation is done here. Supposing a parametric oscillator given by
Stability of Mathieu's equation and parameteric resonance
2015年2月21日 · Browse other questions tagged homework-and-exercises classical-mechanics resonance numerical-method or ask your own question.
Why does Parametric Resonance happen near twice the natural …
2023年2月13日 · I was working through Landau-Lifshitz Volume 1, and in section §27 he starts by expanding near $2\\omega_0$, but he doesn't explain why. I've tried expanding it using an …
Substitution in parametric resonance - Physics Stack Exchange
2022年10月22日 · I was reading parametric resonance from Landau. The equaion of motion of harmonic oscillator in case of time dependent m m and k k is
harmonic oscillator - Is resonance a general property of second …
2023年2月13日 · A resonance frequency corresponds to an eigenvalue of a set of linear equations (or matrix equation). The corresponding eigenvector is known as "mode shape" in …
Simple harmonic resonance - Physics Stack Exchange
2017年3月5日 · However, what will happen if I use the same force with the same frequency (resonance frequency) but applied it at different places when t=0. For instance, if a swing is …
resonance - General solution for Parametric amplification in …
2023年11月15日 · The time is replaced by space and you reinterpret the equation of motion as a Schrödinger equation, with ω2s ω s 2 the periodic potential. Your parametric resonances …
Velocity amplitude and velocity resonance In Forced Harmonic …
2021年9月14日 · Velocity resonance is the condition when your system has the highest velocity amplitude and velocity amplitude is the highest velocity your system can achieve during the …
Natural and Driving Frequency of a Spring-Mass System
2018年12月22日 · Your equation gives the natural frequency of the mass-spring system.This is the frequency with which the system oscillates if you displace it from equilibrium and then …