A method for nonlinear modal analysis and synthesis: Application to harmonically forced and self-excited mechanical systems

Nonlinear Oscillations

Ali H. Nayfeh, Dean T. Mook, Phillip Holmes · Journal of Applied Mechanics · 1980 · 4.7K citations

Natural Sciences, Physics, Differential Equations +8

The Method of Proper Orthogonal Decomposition for Dynamical Characterization and Order Reduction of Mechanical Systems: An Overview

Gaëtan Kerschen, Jean‐Claude Golinval, Alexander F. Vakakis et al. · Nonlinear Dynamics · 2005 · 887 citations · Full text

Engineering, Mechanical Engineering, Systems Engineering +17

Nonlinear normal modes, Part I: A useful framework for the structural dynamicist

Gaëtan Kerschen, Marc Peeters, Jean‐Claude Golinval et al. · Mechanical Systems and Signal Processing · 2008 · 741 citations · Full text

Engineering, Mathematics, Structural Analysis +15

Normal Modes for Non-Linear Vibratory Systems

Steven W. Shaw, Christophe Pierre · Journal of Sound and Vibration · 1993 · 637 citations · Full text

Engineering, Mathematics, Dynamical Systems +13

An Alternating Frequency/Time Domain Method for Calculating the Steady-State Response of Nonlinear Dynamic Systems

Timothy Cameron, J. H. Griffin · Journal of Applied Mechanics · 1989 · 603 citations

Engineering, Computational Engineering, Computational Mechanics +16