Influence of small harmonic terms on eigenvalues of monodromy matrix of piecewise-linear oscillators

DOI10.1007/s11012-008-9112-zzbMath1163.70320OpenAlexW2049820826MaRDI QIDQ1027934

Hinko Wolf, Aleksandar Sušić, Dubravko Banić

Publication date: 30 June 2009

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11012-008-9112-z

zbMATH Keywords

dynamical stabilityincremental harmonic balance methodapplied mechanicsFloquet-Liapounov theorempiecewise-linear oscillator

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Forced motions for nonlinear problems in mechanics (70K40)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Calculation of Lyapunov exponents for dynamic systems with discontinuities.
• On the frequency behaviour, stability and isolation properties of dry friction oscillators
• Asymptotic approaches in nonlinear dynamics. New trends and applications
• Dynamics investigation of three coupled rods with a horizontal barrier
• Frictional phenomena in dynamical system with two-frequency excitation
• Dynamics of a simple damped oscillator undergoing stick-slip vibrations
• Dynamical stability of the response of oscillators with discontinuous or steep first derivative of restoring characteristic
• The influence of neglecting small harmonic terms on estimation of dynamical stability of the response of non-linear oscillators
• Forced periodic vibration of unsymmetric piecewise-linear systems
• A method to determine the periodic solution of the non-linear dynamics system
• Non-linear vibration of coupled duffing oscillators by an improved incremental harmonic balance method
• Incremental Harmonic Balance Method With Multiple Time Scales for Aperiodic Vibration of Nonlinear Systems
• Multi-Harmonic Analysis of Dry Friction Damped Systems Using an Incremental Harmonic Balance Method
• Solution Diagram Of Non-Linear Dynamic Systems By The IHB Method
• Bifurcation and Chaos in Nonsmooth Mechanical Systems
• An example of a non-smooth fold bifurcation