A discrete model for geometrically nonlinear transverse free constrained vibrations of beams with various end conditions

Comments on the method of harmonic balance

Ronald E. Mickens · Journal of Sound and Vibration · 1984 · 197 citations · Full text

Natural Sciences, Mathematics, Physics +5

SEMI-ANALYTICAL APPROACH TO THE NON-LINEAR DYNAMIC RESPONSE PROBLEM OF S–S AND C–C BEAMS AT LARGE VIBRATION AMPLITUDES PART I: GENERAL THEORY AND APPLICATION TO THE SINGLE MODE APPROACH TO FREE AND FORCED VIBRATION ANALYSIS

L. Azrar, Rhali Benamar, R.G. White · Journal of Sound and Vibration · 1999 · 192 citations

Engineering, Mechanical Engineering, Structural Analysis +9

Geometrically nonlinear vibration analysis of thin, rectangular plates using the hierarchical finite element method—I: The fundamental mode of isotropic plates

Wanmin Han, M. Petyt · Computers & Structures · 1997 · 162 citations

Engineering, Computational Engineering, Mechanical Engineering +17

Nonlinear vibrations of beams with various boundary conditions.

D. A. Evensen · AIAA Journal · 1968 · 144 citations

Engineering, Mechanical Engineering, Structural Dynamics +16

Finite element formulation for the large amplitude free vibrations of beams and orthotropic circular plates

G. Venkateswara Rao, K. Kanaka Raju, I. S. Raju · Computers & Structures · 1976 · 131 citations

Engineering, Computational Engineering, Mechanical Engineering +16