Stability analysis of periodic motion of the swinging Atwood machine

DOI10.1007/978-3-031-14788-3_16OpenAlexW4300597176MaRDI QIDQ2109989

Alexander N. Prokopenya

Publication date: 21 December 2022

Full work available at URL: https://doi.org/10.1007/978-3-031-14788-3_16

zbMATH Keywords

stabilityperiodic solutioncomputer algebracharacteristic exponentsMathematicaswinging Atwood's machine

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14)

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
• Searching for equilibrium states of Atwood's machine with two oscillating bodies by means of computer algebra
• Construction of a periodic solution to the equations of motion of generalized Atwood's machine using computer algebra
• Modelling Atwood's machine with three degrees of freedom
• On the integrability of the motion of 3D-swinging Atwood machine and related problems
• Symbolic computation in studying stability of solutions of linear differential equations with periodic coefficients
• Some symbolic computation algorithms in cosmic dynamics problems
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