Reduced order modeling of nonlinear time periodic systems subjected to external periodic excitations

DOI10.1016/j.cnsns.2011.02.002zbMath1219.93020OpenAlexW1974272917MaRDI QIDQ634242

Sangram Redkar, Subhash C. Sinha

Publication date: 2 August 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2011.02.002

zbMATH Keywords

order reductionL-F transformationnonlinear time periodic forced systems

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) System structure simplification (93B11) Control problems involving ordinary differential equations (34H05) Control/observation systems governed by ordinary differential equations (93C15)

Cites Work

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• Applications of centre manifold theory
• Analysis of quasilinear dynamical systems with periodic coefficients via Lyapunov-Floquet transformation
• Versual deformation and local bifurcation analysis of time-periodic nonlinear systems
• Order reduction of parametrically excited nonlinear systems: Techniques and applications
• The Normal Modes of Nonlinear n-Degree-of-Freedom Systems
• Performance of nonlinear vibration absorbers for multi-degree-of-freedom systems using nonlinear normal modes

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