Motion of a swinging Atwood's machine: simulation and analysis with Mathematica

DOI10.1007/s11786-017-0301-9zbMath1416.70015OpenAlexW2608588853WikidataQ59608765 ScholiaQ59608765MaRDI QIDQ1701658

Alexander N. Prokopenya

Publication date: 27 February 2018

Published in: Mathematics in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11786-017-0301-9

zbMATH Keywords

simulationoscillationquasi-periodic motionWolfram Mathematicaswinging Atwood's machine

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (5)

A double variable-length pendulum with counterweight mass, kinematic excitation and electromagnetic forcing ⋮ Construction of a periodic solution to the equations of motion of generalized Atwood's machine using computer algebra ⋮ Searching for equilibrium states of Atwood's machine with two oscillating bodies by means of computer algebra ⋮ Modelling Atwood's machine with three degrees of freedom ⋮ Stability analysis of periodic motion of the swinging Atwood machine

Uses Software

• Mathematica

Cites Work

• Swinging Atwood Machine: experimental and numerical results, and a theoretical study
• On the integrability of the motion of a heavy particle on a tilted cone and the swinging Atwood machine
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