Approximations for period-1 rotation of vertically and horizontally excited parametric pendulum

DOI10.1007/s11071-017-3370-zzbMath1380.70047OpenAlexW2583749147MaRDI QIDQ1696796

Publication date: 15 February 2018

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-017-3370-z

zbMATH Keywords

method of multiple scales parametric pendulum analytical approximation Galerkin projection harmonic balance elliptic averaging period-1 rotation

Mathematics Subject Classification ID

General perturbation schemes for nonlinear problems in mechanics (70K60) Averaging of perturbations for nonlinear problems in mechanics (70K65)

Cites Work

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Approximate analytical solutions for oscillatory and rotational motion of a parametric pendulum
Averaging using elliptic functions: Approximation of limit cycles
Approximate traveling wave solutions for coupled Whitham-Broer-Kaup shallow water
Resonance and symmetry breaking for the pendulum
Periodic motions
Averaging method for strongly nonlinear oscillators with periodic excitations
On approximations of first integrals for a strongly nonlinear forced oscillator
Rotating orbits of a parametrically-excited pendulum
Elliptic functions and applications
Homotopy perturbation method: a new nonlinear analytical technique
On approximations of first integrals for a system of weakly nonlinear, coupled harmonic oscillators
Multiple scale and singular perturbation methods
Rotating periodic orbits of the parametrically excited pendulum
Breaking the symmetry of the parametrically excited pendulum
On the methods of Galerkin, Ritz and Krylov-Bogoliubov in the theory of non-linear vibrations
On resonant rotation of a weakly damped pendulum
Nonlinear Dynamical Systems in Engineering
On a periodically forced, weakly damped pendulum. Part 1: Applied torque
On a periodically forced, weakly damped pendulum. Part 2: Horizontal forcing
On a periodically forced, weakly damped pendulum. Part 3: Vertical forcing
Approximating the Escape Zone for the Parametrically Excited Pendulum
Periodic oscillations and attracting basins for a parametrically excited pendulum
APPROXIMATE ROTATIONAL SOLUTIONS OF PENDULUM UNDER COMBINED VERTICAL AND HORIZONTAL EXCITATION
Averaging methods in nonlinear dynamical systems

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