An approach to construct the relationship between the nonlinear normal mode and forced response of nonlinear systems

DOI10.1177/1077546314561815zbMath1366.70029OpenAlexW2020045631MaRDI QIDQ5283153

Haitao Liao

Publication date: 19 July 2017

Published in: Journal of Vibration and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1077546314561815

zbMATH Keywords

harmonic balance methodnonlinear normal modemodal assurance criterionforced responsesequential quadratic programming algorithm

Mathematics Subject Classification ID

Quadratic programming (90C20) Stability for nonlinear problems in mechanics (70K20) Forced motions for nonlinear problems in mechanics (70K40) Modal analysis in linear vibration theory (70J10)

Cites Work

• Periodic differential operators
• A novel harmonic balance analysis for the van der Pol oscillator
• Fractional derivative and time delay damper characteristics in Duffing-van der Pol oscillators
• Bifurcation of the periodic motion in nonlinear delayed oscillators
• RESEARCH ON THE PERIODIC ORBIT OF NON-LINEAR DYNAMIC SYSTEMS USING CHEBYSHEV POLYNOMIALS
• Normal Modes of Nonlinear Dual-Mode Systems
• The Normal Modes of Nonlinear n-Degree-of-Freedom Systems
• Normal Modes for Non-Linear Vibratory Systems
• Sensitivity Analysis of the Frequency Response of a Piecewise Linear System in a Frequency Island
• On monodromy matrix computation
• Unnamed Item