Experimental Validation of Reduction Methods for Nonlinear Vibrations of Distributed-Parameter Systems: Analysis of a Buckled Beam

Investigation of natural frequencies and mode shapes of buckled beams

Ali H. Nayfeh, Wayne Kreider, Tony J. Anderson · AIAA Journal · 1995 · 165 citations

Engineering, Mechanical Engineering, Structural Analysis +16

On methods for continuous systems with quadratic and cubic nonlinearities

Ali H. Nayfeh, Jamal Nayfeh, Dean T. Mook · Nonlinear Dynamics · 1992 · 138 citations · Full text

Natural Sciences, Mathematics, Differential Equations +12

Galerkin finite element method for non-linear beam vibrations

G.R. Bhashyam, Gangan Prathap · Journal of Sound and Vibration · 1980 · 126 citations

Engineering, Computational Engineering, Mechanical Engineering +14

On the Discretization of Distributed-Parameter Systems with Quadratic and Cubic Nonlinearities

Ali H. Nayfeh, Walter Lacarbonara · Nonlinear Dynamics · 1997 · 119 citations

Natural Sciences, Computer Science, Mathematics +8

Nonlinear Normal Modes of Buckled Beams: Three-to-One and One-to-One Internal Resonances

Ali H. Nayfeh, Walter Lacarbonara, C. Chin · Nonlinear Dynamics · 1999 · 104 citations

Engineering, Civil Engineering, Mechanical Engineering +16