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
Non-Linear Free Vibrations of Beams By the Finite Element and Continuation Methods
β Scribed by R. Lewandowski
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 470 KB
- Volume
- 170
- Category
- Article
- ISSN
- 0022-460X
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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 "
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