Asymptotic analysis of kinematically excited dynamical systems near resonances

DOI10.1007/S11071-011-0229-6zbMath1348.70042OpenAlexW1979776866MaRDI QIDQ693092

Grażyna Sypniewska-Kamińska, Jan Awrejcewicz, Roman Starosta

Publication date: 7 December 2012

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-011-0229-6

zbMATH Keywords

asymptotic analysisresonancemultiple-scale methodkinematic excitation

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Lagrange's equations (70H03) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14)

Related Items (8)

Energy variations and periodic solutions in a switched inverted pendulum model of human running gaits ⋮ Amplitude and rotational speed control of variable length pendulum by periodic input ⋮ Resonance study of spring pendulum based on asymptotic solutions with polynomial approximation in quadratic means ⋮ Nonlinear dynamics of a Z-shaped structure with validated global analytical mode shapes ⋮ New vertically planed pendulum motion ⋮ Nonlinear passive control of a pendulum submitted to base excitations ⋮ On the motion of harmonically excited spring pendulum in elliptic path near resonances ⋮ The dynamical behavior of a rigid body relative equilibrium position

Cites Work

• Unnamed Item
• Chaotic responses of a harmonically excited spring pendulum moving in circular path
• Global dynamics of a rapidly forced cart and pendulum
• Simulation of dynamic interaction between the railway bogie and the track in the medium frequency range

This page was built for publication: Asymptotic analysis of kinematically excited dynamical systems near resonances