Method for generating asynchronous self-sustained oscillations of a mechanical system with two degrees of freedom

DOI10.3103/S0025654421070141zbMath1506.70034OpenAlexW4200129934MaRDI QIDQ2070795

L. A. Klimina

Publication date: 24 January 2022

Published in: Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0025654421070141

zbMATH Keywords

iterative methodfeedback controlaveragingaerodynamic pendulum, limit cycleAndronov-Pontryagin methodautonomous nonconservative systemcontrol impact gain factor

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Control of mechanical systems (70Q05)

Related Items (3)

Darrieus-Magnus type wind turbine: dynamics and control ⋮ Plane-parallel motion of a snake robot in the presence of anisotropic dry friction and a single control input ⋮ Dynamics of a wind turbine with two moving masses using the galloping effect

Uses Software

• Torcont

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stabilisation and motion control of unstable objects
• Existence, number, and stability of limit cycles in weakly dissipative, strongly nonlinear oscillators
• Method for constructing periodic solutions of a controlled dynamic system with a cylindrical phase space
• The self-induced rotational and oscillatory motions of an aerodynamic pendulum
• Three-link mechanism as a model of a person on a swing
• Method for forming autorotations in controllable mechanical system with two degrees of freedom
• Method for finding periodic trajectories of centrally symmetric dynamical systems on the plane
• Stabilizing the oscillations of a controlled mechanical system
• Transversal curves for finding the exact number of limit cycles
• Bifurcation diagram of the self-sustained oscillation modes for a system with dynamic symmetry
• Method to construct periodic solutions of controlled second-order dynamical systems
• Dulac-Cherkas test for determining the exact number of limit cycles of autonomous systems on the cylinder
• Weak infinitesimal Hilbert's 16th problem
• Perturbations of quadratic Hamiltonian two-saddle cycles
• Phenomenological model of interaction of a plate with a flow
• Designing a stable cycle in weakly coupled identical systems
• Analysis and synthesis of oscillator systems described by a perturbed double-well Duffing equation
• Multistability and stable asynchronous periodic oscillations in a multiple-delayed neural system
• Weak chimeras in minimal networks of coupled phase oscillators
• BIFURCATION OF QUASI-PERIODIC OSCILLATIONS IN MUTUALLY COUPLED HARD-TYPE OSCILLATORS: DEMONSTRATION OF UNSTABLE QUASI-PERIODIC ORBITS
• ALGORITHMS FOR OBTAINING A SADDLE TORUS BETWEEN TWO ATTRACTORS
• On Periodic Perturbations of Asymmetric Duffing–Van-der-Pol Equation
• Combinatorial-topological framework for the analysis of global dynamics
• A problem with formal initial conditions for differential equations with constant pseudodifferential coefficients
• Continuation of Quasi-periodic Invariant Tori

This page was built for publication: Method for generating asynchronous self-sustained oscillations of a mechanical system with two degrees of freedom