Construction of a periodic solution to the equations of motion of generalized Atwood's machine using computer algebra

DOI10.1134/S0361768820020085zbMath1459.70009WikidataQ114847354 ScholiaQ114847354MaRDI QIDQ2217199

Alexander N. Prokopenya

Publication date: 18 December 2020

Published in: Programming and Computer Software (Search for Journal in Brave)

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Kinematics of mechanisms and robots (70B15)

Related Items (2)

Searching for equilibrium states of Atwood's machine with two oscillating bodies by means of computer algebra ⋮ 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
• Motion of a swinging Atwood's machine: simulation and analysis with Mathematica
• Hamiltonian normalization in the restricted many-body problem by computer algebra methods
• Modelling Atwood's machine with three degrees of freedom
• Some symbolic computation algorithms in cosmic dynamics problems

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