Relatively simple finite element formulation for the large amplitude free vibrations of uniform beams

The Effect of an Axial Force on the Vibration of Hinged Bars

S. Woinowsky-Krieger · Journal of Applied Mechanics · 1950 · 652 citations

Engineering, Mechanical Engineering, Hinged Bars +16

On locking-free shear deformable beam finite elements

J. N. Reddy · Computer Methods in Applied Mechanics and Engineering · 1997 · 334 citations

Finite Element Method, Engineering, Mechanics +6

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 · 190 citations

Engineering, Mechanical Systems, Nonlinear Vibration Control +5

Finite element displacement method for large amplitude free flexural vibrations of beams and plates

Chuh Mei · Computers & Structures · 1973 · 145 citations

Engineering, Vibrations, Mechanics +11

Nonlinear vibrations of beams with various boundary conditions.

D. A. Evensen · AIAA Journal · 1968 · 143 citations

Engineering, Vibrations, Perturbation Method +14