Approximate period for large-amplitude oscillations of a simple pendulum based on quintication of the restoring force

DOI10.1088/1361-6404/AB4B73OpenAlexW2991480636MaRDI QIDQ5889403

Akuro Big-Alabo

Publication date: 20 April 2023

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

Full work available at URL: https://doi.org/10.1088/1361-6404/ab4b73

zbMATH Keywords

elliptic integralsimple pendulumquasi-static equilibriumcubic-quintic oscillatorquintication method

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Mechanics of particles and systems (70-XX)

Related Items (3)

Exploring oscillations with a nonlinear restoring force ⋮ Review of approximate equations for the pendulum period ⋮ Exploring the non-linear oscillation of a rigid sphere on an elastic half-space

Cites Work

• ``Quintication method to obtain approximate analytical solutions of non-linear oscillators
• Analytical approximate solutions for the cubic-quintic Duffing oscillator in terms of elementary functions
• Periodic oscillation and bifurcation analysis of pendulum with spinning support using a modified continuous piecewise linearization method
• Exact solution for the unforced Duffing oscillator with cubic and quintic nonlinearities
• Simple ‘log formulae’ for pendulum motion valid for any amplitude
• An approximate solution to the equation of motion for large-angle oscillations of the simple pendulum with initial velocity
• Impact Mechanics
• Fast converging exact power series for the time and period of the simple pendulum

This page was built for publication: Approximate period for large-amplitude oscillations of a simple pendulum based on quintication of the restoring force