Accession Number : AD0701893

Title :   FREE VIBRATIONS OF A CIRCULAR ROD WITH AN ELASTICALLY RESTRAINED END AND A FREE END.

Descriptive Note : Technical rept.,

Corporate Author : WATERVLIET ARSENAL N Y

Personal Author(s) : Anderson,Gary

Report Date : FEB 1970

Pagination or Media Count : 26

Abstract : An analytical evaluation of an experimental procedure involving the free flexural vibrations of a clamped beam of circular cross section has been carried out. This work was undertaken in order to explain why certain experimental results seem to indicate that Young's modulus E decreases as the length to diameter ratio of the beam decreases. Under the assumption that E remains constant, the analysis indicates that the boundary condition of vanishing slope at the clamped end is not realized in the laboratory. Using a modified boundary condition and a perturbation technique, a corrected relationship for E is obtained. (Author)

Descriptors :   (*RODS, VIBRATION), BEAMS(STRUCTURAL), MODULUS OF ELASTICITY, BOUNDARY VALUE PROBLEMS, PERTURBATION THEORY

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE