TORSIONAL VIBRATIONS OF A FREE RECTANGULAR PLACE

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Abstract:

The effect of bending distortion of the crosssection on the torsional modes and frequencies of a uniform rectangular plate is considered. The bi-harmonic 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. The long wavelength solution is shown to be well approximated by the results from the simple torsional theory based on the St. Venant and WagnerKappus 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

Author(s):
Mead, D. J. ; Beresford, R. F.
Author Organization(s):
SOUTHAMPTON UNIV (ENGLAND)
Annotation:
THE EFFECT OF BENDING DISTORTION OF THE CROSSSECTION ON THE TORSIONAL MODES AND FREQUENCIES OF A UNIFORM RECTANGULAR PLATE IS CONSIDERED.
Pagination:
0001

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
TDR62 701, ASD-TDR62 701
Contract/Grant Number(s):
AF61 052 504
Monitor Series:
TDR62 701
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
*SHEAR STRESSES, *SHEETS, *TORQUE, *VIBRATION, DEFORMATION, DIFFERENTIAL EQUATIONS, ELASTIC PROPERTIES
Report Date:
1962 Jul 01