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HIERARCHICAL FINITE ELEMENT ANALYSES OF GEOMETRICALLY NON-LINEAR VIBRATION OF BEAMS AND PLANE FRAMES

✍ Scribed by P. RIBEIRO

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
395 KB
Volume
246
Category
Article
ISSN
0022-460X

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✦ Synopsis

Geometrically non-linear vibrations of beams and plane frameworks are analyzed by the hierarchical "nite element method (HFEM). Two main points are of interest. The "rst is to compare polynomials, trigonometric functions and beam eigenfunctions as displacement shape functions for beam hierarchical "nite elements. The second is to examine the suitability of the HFEM for time domain non-linear analyses.

2001 Academic Press

πŸ“œ SIMILAR VOLUMES

NON-LINEAR VIBRATION OF BEAMS WITH INTER
NON-LINEAR VIBRATION OF BEAMS WITH INTERNAL RESONANCE BY THE HIERARCHICAL FINITE-ELEMENT METHOD
✍ P. RIBEIRO; M. PETYT πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 380 KB

The hierarchical "nite-element (HFEM) and the harmonic balance methods (HBM) are used to investigate the geometrically non-linear free and steady-state forced vibrations of uniform, slender beams. The beam analogue of von KaH rmaH n's non-linear strain}displacement relationships are employed and the