TORSIONAL VIBRATIONS OF A FREE RECTANGULAR PLATE.
Abstract
The paper considers the effect of bending distortion of the cross-section on the torsional modes and frequencies of a uniform rectangular plate. The biharmonic plate equation is integrated to yield the transcendental frequency equation for modes of any specified longitudinal wavelength, the effects of shear distortion and rotatory inertia associated with bending being ignored. A good approximation to the long wavelength solution is achieved by the results from the simple torsional theory based on the St. Venant and Wagner-Kappus torsion theories. At shorter wavelengths, the simple theory still gives a good approximation to the frequencies of vibration, but considerable distortion of the cross-section is found to occur. Certain limiting conditions of very short wavelength are also investigated. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 01, 1961
- Accession Number
- AD0638144
Entities
People
- D. J. Mead
- R. F. Beresford
Organizations
- University of Southampton