Modal Analysis of Kelvin Viscoelastic Solids Under Arbitrary Excitation: Circular Plates under Moving Loads
Item
- Title
- Modal Analysis of Kelvin Viscoelastic Solids Under Arbitrary Excitation: Circular Plates under Moving Loads
- Report Number
- WL-TR-91-3078 Volume III, p. HCB-1 thru HCB-10
- Creator
- Shen, I. Y.,
- Mote, Jr, C. D.
- Corporate Author
- Department of Mechanical Engineering, University of California, Berkeley
- Date
- 1991
- Date Issued
- 1991-08
- Extent
- 10
- Identifier
- ADA241313
- Format
- 1 online resource
- Abstract
- The response of a finite, inhomogeneous, Kelvin viscoelastic solid under arbitrary excitation is determined by modal analysis. Through the reciprocal theorem of viscoelasticity, vibration modes of the Kelvin viscoelastic solid satisfy orthogonality conditions and the system response under any excitation is represented in a modal series. This formulation technique is illustrated on an asymmetric, classical, circular plate containing Kelvin inclusions excited by a constant transverse force rotating at constant speed. The viscosity of the inclusions suppresses the instability excited at supercritical speed in the elastic plate, but it may or may not suppress instability excited at subcritical speed depending on the geometry and location of the Kelvin inclusions.
- Description
- The response of a finite, inhomogeneous, Kelvin viscoelastic solid under arbitrary excitation is determined by modal analysis. Through the reciprocal theorem of viscoelasticity, vibration modes of the Kelvin viscoelastic solid satisfy orthogonality conditions and the system response under any excitation is represented in a modal series. This formulation technique is illustrated on an asymmetric, classical, circular plate containing Kelvin inclusions excited by a constant transverse force rotating at constant speed. The viscosity of the inclusions suppresses the instability excited at supercritical speed in the elastic plate, but it may or may not suppress instability excited at subcritical speed depending on the geometry and location of the Kelvin inclusions.
- Distribution Classification
- 1
- Distribution Conflict
- No
- DTIC Record Exists
- No
- Illinois Tech Related
- No
- Photo Quality
- Not Needed
- Report Availability
- Full text available
- Type
- article
- Media
articleHCB
Linked resources
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| Title | Class |
|---|---|
| Proceedings of Damping '91: 13-15 February 1991 San Diego, California (GCA-1 through JCB-17) |