A novel order reduction method for nonlinear dynamical system under external periodic excitations

DOI10.1007/S11431-010-0057-9zbMath1202.37115OpenAlexW2078140328MaRDI QIDQ987271

Jinlin Wang, Dengqing Cao, Wen-Hu Huang

Publication date: 13 August 2010

Published in: Science China. Technological Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11431-010-0057-9

zbMATH Keywords

Galerkin methodnonlinear systemsdimension reductionmodel truncationpost-processed method

Mathematics Subject Classification ID

Special approximation methods (nonlinear Galerkin, etc.) for infinite-dimensional dissipative dynamical systems (37L65) Topological dynamics of nonautonomous systems (37B55)

Cites Work

• On approximate inertial manifolds to the Navier-Stokes equations
• Iterated approximate inertial manifolds for Navier-Stokes equations in 2- D
• A finite element post-processed Galerkin method for dimensional reduction in the nonlinear dynamics of solids. Applications to shells
• Dimension reduction of dynamical systems: methods, models, applications
• Order reduction of parametrically excited nonlinear systems: Techniques and applications
• A Class of Numerical Algorithms for Large Time Integration: The Nonlinear Galerkin Methods
• Normal Modes for Non-Linear Vibratory Systems
• An approximate inertial manifolds approach to postprocessing the Galerkin method for the Navier-Stokes equations
• Postprocessing the Galerkin Method: a Novel Approach to Approximate Inertial Manifolds
• Methods for dimension reduction and their application in nonlinear dynamics
• Performance of nonlinear vibration absorbers for multi-degree-of-freedom systems using nonlinear normal modes

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