COMPLETE ANALYSIS OF THE NONLINEAR PENDULUM FOR AMPLITUDES IN ALL REGIMES USING NUMERICAL INTEGRATION

DOI10.17654/IJNMASep2015_053_076zbMath1397.70008OpenAlexW2519094997MaRDI QIDQ2794846

Youssef I. Hafez

Publication date: 11 March 2016

Published in: International Journal of Numerical Methods and Applications (Search for Journal in Brave)

Full work available at URL: http://www.pphmj.com/abstract/9482.htm

zbMATH Keywords

numerical integrationvelocitykinetic energyGaussian quadratureelliptic integralsperiodpotential energynonlinear pendulumgravitational acceleration

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Qualitative investigation and simulation of ordinary differential equation models (34C60) Motion of a rigid body with a fixed point (70E17)

Related Items

Review of approximate equations for the pendulum period, Energy dissipation and behavioral regimes in an autonomous double pendulum subjected to viscous and dry friction damping