Energy dissipation and behavioral regimes in an autonomous double pendulum subjected to viscous and dry friction damping

DOI10.1088/1361-6404/AC05D2zbMath1519.70022OpenAlexW3170326238MaRDI QIDQ6108097

Unnamed Author, Unnamed Author

Publication date: 29 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/ac05d2

zbMATH Keywords

chaotic behaviorenergy dissipationnumerical solutionexperimental verificationRayleigh dissipation functionLagrangian equationdissipation factor

Mathematics Subject Classification ID

Experimental work for problems pertaining to mechanics of particles and systems (70-05) Forced motions for nonlinear problems in mechanics (70K40) Computational methods for problems pertaining to mechanics of particles and systems (70-08) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55)

Cites Work

• Modeling, numerical analysis and application of triple physical pendulum with rigid limiters of motion
• Role of initial conditions in the dynamics of a double pendulum at low energies
• A numerical analysis of chaos in the double pendulum
• COMPLETE ANALYSIS OF THE NONLINEAR PENDULUM FOR AMPLITUDES IN ALL REGIMES USING NUMERICAL INTEGRATION
• A comprehensive analytical solution of the nonlinear pendulum
• Rayleigh’s dissipation function at work
• A demonstration of dry and viscous damping of an oscillating pendulum
• Motions of a double pendulum
• An analytical solution to the equation of motion for the damped nonlinear pendulum
• ANALYSIS OF NON-LINEAR DYNAMICS AND BIFURCATIONS OF A DOUBLE PENDULUM

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