Complex response analysis of a non-smooth oscillator under harmonic and random excitations

DOI10.1007/S10483-021-2731-5zbMath1476.34054OpenAlexW3190491202MaRDI QIDQ825367

Liang Wang, Wantao Jia, Wei Xu, Xin Ning, Shichao Ma

Publication date: 17 December 2021

Published in: AMM. Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-021-2731-5

zbMATH Keywords

random excitationnon-smooth systemnon-autonomous system

Mathematics Subject Classification ID

Computational methods in Markov chains (60J22) Nonlinear ordinary differential equations and systems (34A34) Ordinary differential equations and systems with randomness (34F05)

Related Items (2)

Unnamed Item ⋮ An experimental study of a single-degree-of-freedom impact oscillator

Cites Work

• Analysis of grazing bifurcation from periodic motion to quasi-periodic motion in impact-damper systems
• The maximal Lyapunov exponent for a three-dimensional system driven by white noise
• Cell-to-cell mapping. A method of global analysis for nonlinear systems
• Flutter, limit cycle oscillation, bifurcation and stability regions of an airfoil with discontinuous freeplay nonlinearity
• Dynamical systems. Lectures given at the 2nd session of the Centro Internazionale Matematico Estivo (CIME) held in Montecatini Terme, Italy, June 13-22, 1994
• Crises and chaotic transients studied by the generalized cell mapping digraph method
• Dynamics of a vibro-impact system by the global analysis method in parameter-state space
• Novel method for random vibration analysis of single-degree-of-freedom vibroimpact systems with bilateral barriers
• Suppression of grazing-induced instability in single degree-of-freedom impact oscillators
• Bifurcations in Nonsmooth Dynamical Systems
• A Statistical Study of Generalized Cell Mapping
• A Theory of Cell-to-Cell Mapping Dynamical Systems
• Normal vibrations and friction at a Hertzian contact under random excitation: Theory and experiments
• Normal Vibrations and Friction at a Hertzian Contact Under Random Excitation: Perturbation Solution

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