Accession Number : AD0284887

Title :   TORSIONAL VIBRATIONS OF A FREE RECTANGULAR PLACE

Corporate Author : SOUTHAMPTON UNIV (ENGLAND)

Personal Author(s) : MEAD,D.J. ; BERESFORD,R.F.

Report Date : JUL 1962

Pagination or Media Count : 1

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)

Descriptors :   *SHEAR STRESSES, *SHEETS, *TORQUE, *VIBRATION, DEFORMATION, DIFFERENTIAL EQUATIONS, ELASTIC PROPERTIES

Distribution Statement : APPROVED FOR PUBLIC RELEASE