Nonlinear normal modes of a two degrees-of-freedom piecewise linear system

Applied nonlinear dynamics: analytical, computational, and experimental methods

Choice Reviews Online · 1995 · 1.2K citations

Engineering, Mechanical Engineering, Systems Engineering +15

A periodically forced piecewise linear oscillator

Steven W. Shaw, Philip Holmes · Journal of Sound and Vibration · 1983 · 885 citations · Full text

Natural Sciences, Physics, Differential Equations +11

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

Nonlinear normal modes, Part II: Toward a practical computation using numerical continuation techniques

Marc Peeters, Régis Viguié, Guillaume Sérandour et al. · Mechanical Systems and Signal Processing · 2008 · 525 citations · Full text

Natural Sciences, Computational Engineering, Physics +14

Non-linear normal modes and invariant manifolds

Steven W. Shaw, Christophe Pierre · Journal of Sound and Vibration · 1991 · 357 citations · Full text

Natural Sciences, Mathematics, Dynamical Systems +12