Analyzing Forced Duffing Oscillations in Metal-Halide Lamps
comsol.com
Analyzing Forced Duffing Oscillations in Metal-Halide Lamps
Researchers used COMSOL Multiphysics to study the acoustic streaming field of metal-halide lamps and analyze the forced Duffing oscillations
Nov 11, 2015
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Oscilador de Duffing El oscilador de Duffing es un sistema diferencial no lineal que lleva el nombre de Georg Duffing (1861-1944). Proporciona un ejemplo de un oscilador forzado periódicamente con una elasticidad no lineal. La ecuación de Duffing es un ejemplo de un sistema dinámico que exhibe un comportamiento caótico. El oscilador de Duffing describe el movimiento de una partícula clásica en un potencial de doble pozo dado por un polinomio de cuarto orden . Este sistema se encuentra en múltipl
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SOLVED:The damped Duffing equation m x^'' b x^4 k x ϵx^3=F4 cosωt has the steady state solution x1 s(t)=(F0)/(√((k-m ω^2)^2 b^2 ω^2)) cos(ωt-ϕ) when ϵ=0. Write (10.1.34) in terms of dimensionless variables and parameters in which the amplitude of the steady state would be about unity. Give a condition in terms of the original parameters under which the nonlinear term ϵx^3 would have little effect on the steady state solution.
SOLVED:The damped Duffing equation m x^'' b x^4 k x ϵx^3=F4 cosωt has the steady state solution x1 s(t)=(F0)/(√((k-m ω^2)^2 b^2 ω^2)) cos(ωt-ϕ) when ϵ=0. Write (10.1.34) in terms of dimensionless variables and parameters in which the amplitude of the steady state would be about unity. Give a condition in terms of the original parameters under which the nonlinear term ϵx^3 would have little effect on the steady state solution.
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Oscilador de Duffing El oscilador de Duffing es un sistema diferencial no lineal que lleva el nombre de Georg Duffing (1861-1944). Proporciona un ejemplo de un oscilador forzado periódicamente con una elasticidad no lineal. La ecuación de Duffing es un ejemplo de un sistema dinámico que exhibe un comportamiento caótico. El oscilador de Duffing describe el movimiento de una partícula clásica en un potencial de doble pozo dado por un polinomio de cuarto orden . Este sistema se encuentra en múltipl
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