Reduction of finite-element models of planar frames using non-linear normal modes

Computational Methods for Transient Analysis

Ted Belytschko, Thomas J.R. Hughes, P. Burgers · Journal of Applied Mechanics · 1985 · 1.2K citations · Full text

Engineering, Computational Engineering, Mechanical Engineering +16

NONLINEAR DYNAMICS AND CHAOS

D. K. Arrowsmith · Bulletin of the London Mathematical Society · 1987 · 1.2K citations

Natural Sciences, Physics, Differential Equations +10

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

Counterintuitive Behavior in a Problem of Elastic-Plastic Beam Dynamics

P. S. Symonds, Tongxi Yu · Journal of Applied Mechanics · 1985 · 130 citations

Engineering, Mechanical Engineering, Physics +17

The effects of large vibration amplitudes on the mode shapes and natural frequencies of thin elastic structures part I: Simply supported and clamped-clamped beams

Rhali Benamar, M. Bennouna, Russ White · Journal of Sound and Vibration · 1991 · 122 citations

Engineering, Mechanical Engineering, Structural Analysis +16