Free non-linear vibration of a rotating thin ring with a constant speed is analyzed when the ring has both the in-plane and out-of-plane motions. The geometric non-linearity of displacements is considered by adopting the Lagrange strain theory for the circumferential strain instead of the infinitesi
FREE OUT-OF-PLANE VIBRATIONS OF A ROTATING BEAM WITH NON-LINEAR ELASTOMERIC CONSTRAINTS
โ Scribed by G. Pohit; A.K. Mallik; C. Venkatesan
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 190 KB
- Volume
- 220
- Category
- Article
- ISSN
- 0022-460X
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โฆ Synopsis
Free, out-of-plane vibration of a rotating beam with a non-linear, elastomeric constraint has been investigated. The elastomer is modelled as a parallel combination of spring and damper elements. The stiffness and damping parameters are evaluated by using previous experimental data. The linear analysis is performed by two techniques, one based on a power series expansion and the other based on the Rayleigh-Ritz principle. The results are found to be in excellent agreement. In the non-linear analysis, a numerical-perturbation technique is applied to determine the frequency-amplitude relationship. A parametric study revealing the influence of the non-linear constraint is presented.
๐ SIMILAR VOLUMES
The non-linear, moderately large amplitude #exural free vibrations of an arm clamped with a setting angle to a rigid rotating hub are studied. The shear deformation and rotary inertia e!ects are assumed to be negligible, but account is taken of axial inertia, non-linear curvature and the inextensibi