Review of approximate equations for the pendulum period

DOI10.1088/1361-6404/abad10zbMath1520.70023OpenAlexW3048161107MaRDI QIDQ6105723

Unnamed Author

Publication date: 9 June 2023

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

Full work available at URL: https://doi.org/10.1088/1361-6404/abad10

zbMATH Keywords

iterative procedureelliptic integralTaylor series expansionsimple pendulumcompound pendulumlarge amplitude pendulum

Mathematics Subject Classification ID

Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Computational methods for problems pertaining to mechanics of particles and systems (70-08) Research exposition (monographs, survey articles) pertaining to mechanics of particles and systems (70-02)

Related Items (1)

An analysis of pendulum motion in the presence of quadratic and linear drag

Cites Work

• Unnamed Item
• COMPLETE ANALYSIS OF THE NONLINEAR PENDULUM FOR AMPLITUDES IN ALL REGIMES USING NUMERICAL INTEGRATION
• Oscillations of a simple pendulum with extremely large amplitudes
• Leonhard Euler and the mechanics of rigid bodies
• An anharmonic solution to the equation of motion for the simple pendulum
• Improvements in the approximate formulae for the period of the simple pendulum
• The exact equation of motion of a simple pendulum of arbitrary amplitude: a hypergeometric approach
• Accurate analytic approximation to the nonlinear pendulum problem
• An approximate expression for the large angle period of a simple pendulum
• An analytical approximation of a pendulum trajectory
• Application of the homotopy perturbation method to the nonlinear pendulum
• Simple ‘log formulae’ for pendulum motion valid for any amplitude
• Simple analytic formula for the period of the nonlinear pendulum via the Struve function: connection to acoustical impedance matching
• Approximate expressions for the period of a simple pendulum using a Taylor series expansion
• An analytical solution to the equation of motion for the damped nonlinear pendulum
• Power series solution to the pendulum equation
• Fast converging exact power series for the time and period of the simple pendulum
• Approximate period for large-amplitude oscillations of a simple pendulum based on quintication of the restoring force
• The period of the damped non-linear pendulum

This page was built for publication: Review of approximate equations for the pendulum period