The coupled vibration of piezoelectric ceramic disk resonators was analyzed using an analytical method whilst considering the piezoelectric effect. By introducing a mechanical coupling coefficient, the coupled vibration of the disk resonators was divided into two equivalent vibrations, which are the
FREE VIBRATION OF COUPLED DISK–HAT STRUCTURES
✍ Scribed by J.C. BAE; J.A. WICKERT
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 394 KB
- Volume
- 235
- Category
- Article
- ISSN
- 0022-460X
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✦ Synopsis
The free vibration of disk}hat structures, such as automotive brake rotors, is investigated analytically and through laboratory experimentation. Of particular interest are the role played by the hat element's depth in in#uencing the three-dimensional vibration of the disk, and the manner in which the bending and in-plane modes of the disk alone evolve as a hat of increasing depth is incorporated in the model. The lower vibration modes of disk}hat structures are shown to be characterized by the numbers of nodal circles NC and diameters ND present on the disk, as well as the phase relationship between the disk's transverse and radial displacements due to coupling with the hat element. Such modes map continuously back to the pure bending and in-plane modes of the disk alone, appear in ordered pairs, and can exist at close frequencies. Those characteristics are explored particularly with respect to sensitivities in the disk's thickness and the hat's depth with a view towards shifting particular natural frequencies, or minimizing transverse disk motion in certain vibration modes. Results obtained through analysis and measurement of a prototypical disk}hat structure are applied in a case study with a ventilated automotive brake rotor.
📜 SIMILAR VOLUMES
Perturbation techniques are employed to estimate the free vibration characteristics, i.e., the natural frequencies and mode shapes, of a flexible rotating disk. The normalized disk stiffness o = 8D/[hb 4 (3 + n)m ¯V2 ] is introduced and treated as a small parameter. Then, singular perturbation solut
Based on the piezoelectric e!ect and the wave equation, the coupled vibration of the piezoelectric ceramic thick disk resonator is studied when the shearing and torsion are neglected. The coupled vibration of the disk resonator is reduced to two equivalent vibrations, one being the equivalent radial