In this paper, two factors that a!ect the behaviors of the non-linear normal modes (NNMs) of conservative vibratory systems are investigated. The "rst factor is the base points (which are equivalent to Taylor series expanding points) of the non-linear normal modes and the second one is the normaliza
NORMAL MODES AND NEAR-RESONANCE RESPONSE OF BEAMS WITH NON-LINEAR EFFECTS
โ Scribed by G. Chakraborty; A.K. Mallik; H. Hatwal
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 248 KB
- Volume
- 210
- Category
- Article
- ISSN
- 0022-460X
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โฆ Synopsis
Non-linear normal modes and the associated frequencies of a uniform beam with simply-supported or clamped conditions at both ends have been derived. Some restricted orthogonality conditions have been pointed out. The effects of the longitudinal inertia on the non-linear transverse motion are shown to be extremely small. The efficacy of using the non-linear normal modes towards computation of near-resonance response has been clearly brought out.
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