The Duffing oscillator with damping

DOI10.1088/0143-0807/36/6/065020zbMath1332.70025OpenAlexW1869698751MaRDI QIDQ2793783

Kim Johannessen

Publication date: 17 March 2016

Published in: European Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0143-0807/36/6/065020

zbMATH Keywords

damping coefficientDuffing equationJacobi elliptic functionsperiod of oscillation

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40)

Related Items (4)

Harmonic and subharmonic solutions of quadratic Liénard type systems with sublinearity ⋮ Analytic solution to the generalized complex Duffing equation and its application in soliton theory ⋮ Evaluation of closure strategies for a periodically-forced Duffing oscillator with slowly modulated frequency subject to Gaussian white noise ⋮ The Duffing oscillator with damping for a softening potential

Cites Work

• Nonlinear vibration analysis of isotropic cantilever plate with viscoelastic laminate
• Application of He's parameter-expansion method for oscillators with smooth odd nonlinearities
• An explicit approximate solution to the Duffing-harmonic oscillator by a cubication method
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Homotopy perturbation technique
• Improved Lindstedt–Poincaré method for the solution of nonlinear problems
• An analytical solution to the equation of motion for the damped nonlinear pendulum
• SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS
• Alternative perturbation approaches in classical mechanics

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