A finite element formulation combined with a new material model has been developed for the traditional multilayer beam incorporating viscoelastic material having non-linear behavior. The viscoelastic material was confined between the stiff layers and worked as a damping layer. A non-linear dynamic a
NON-LINEAR VIBRATION OF A PIEZOELECTRIC BEAM CONTACTING WITH A FIXED DISK
โ Scribed by R.-F. Fung; J.-S. Huang; D.-G. Chang; C.-M. Yao
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 394 KB
- Volume
- 219
- Category
- Article
- ISSN
- 0022-460X
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โฆ Synopsis
Non-linear vibrations of a cantilever piezoelectric beam in contact with a fixed disk are studied in this paper. The piezoelectric beam is excited to produce mechanical longitudinal oscillations by inverse piezoelectric effect of piezoceramics. The equations of motion describing the vibrations and contact forces are derived by Hamilton's principle and the geometry constraint. Finite element formulation is used to reduce the equations to a set of non-linear ordinary differential equations. The transient amplitudes and the contacting forces are simulated by the Runge-Kutta algorithm. The effects of piezoceramics, excitation of voltage and the frictional forces are investigated and discussed.
๐ SIMILAR VOLUMES
In this paper, the free and forced vibration of a fixed-free Euler-Bernoulli beam in contact with a rigid cylindrical foundation is studied. One end of the beam is clamped at the top of the rigid cylindrical foundation and the other end is free. The vibrations are separated into upward and downward