Analytical approximate solutions for the generalized nonlinear oscillator
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Publication:2903162
DOI10.1080/00036811.2011.559464zbMath1425.70035OpenAlexW2072416216WikidataQ58242281 ScholiaQ58242281MaRDI QIDQ2903162
Davood Younesian, Hassan Randjbar Askari, Zia Saadatnia, Mohammad Kalamiyazdi
Publication date: 23 August 2012
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2011.559464
Free motions for nonlinear problems in mechanics (70K25) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40)
Related Items (9)
Approximate periodic solutions for the Helmholtz-Duffing equation ⋮ Exact time-integral inversion via Čebyšëv quintic approximations for nonlinear oscillators ⋮ Unnamed Item ⋮ Higher-order approximate periodic solutions for nonlinear oscillators with the Hamiltonian approach ⋮ HIGHER-ORDER ENERGY BALANCE METHOD FOR A SERIES OF NONLINEAR OSCILLATORY SYSTEMS ⋮ A relationship between three analytical approaches to nonlinear problems ⋮ RATIONAL ENERGY BALANCE METHOD TO NONLINEAR OSCILLATORS WITH CUBIC TERM ⋮ The equivalent linearization method with a weighted averaging for solving undamped nonlinear oscillators ⋮ Primary and secondary resonance analyses of clamped-clamped micro-beams
Cites Work
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- He's frequency-amplitude formulation for nonlinear oscillators with an irrational force
- Frequency analysis of strongly nonlinear generalized Duffing oscillators using he's frequency-amplitude formulation and He's energy balance method
- Periodic solution for strongly nonlinear vibration systems by He's energy balance method
- Variational principles for some nonlinear partial differential equations with variable coefficients
- Preliminary report on the energy balance for nonlinear oscillations.
- Existence of periodic solutions for the generalized form of Mathieu equation
- Variational approach for nonlinear oscillators
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- OSCILLATIONS IN AN x4/3POTENTIAL
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- Approximate analytical solutions for oscillation of a mass attached to a stretched elastic wire
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- Iteration method solutions for conservative and limit-cycle force oscillators
- He's homotopy perturbation method for solving the shock wave equation
- Series solutions of a fractional oscillator by means of the homotopy perturbation method
- He's MAX–MIN METHOD FOR THE RELATIVISTIC OSCILLATOR AND HIGH ORDER DUFFING EQUATION
- PERIODIC SOLUTIONS OF THE RELATIVISTIC HARMONIC OSCILLATOR
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