Accession Number : AD0631816

Title :   ON LONGITUDINAL AND TRANSVERSE WAVES IN ELASTIC RODS,

Corporate Author : DEFENSE RESEARCH LAB UNIV OF TEXAS AUSTIN

Personal Author(s) : Plass,H. J. ,Jr.

Report Date : 10 NOV 1954

Pagination or Media Count : 33

Abstract : The approximate equations governing the longitudinal and transverse motions of elastic rods are derived from the exact equations of motion of an elastic solid by making certain assumptions about the deformations in the rod. Both the slab (two-dimensional plane strain problem) and the circular cylindrical rod are considered. It is found that the equations for longitudinal waves agree with those obtained by Mindlin and Herrman, and by Volterra. In the case of transverse waves, it is found that there is a fundamental difference between the equations derived in this report and those of Timoshenko and Flugge. The present theory predicts that discontinuities in moment are propagated at the dilatational velocity, and that discontinuities in shear force are propagated at the shear velocity. The corresponding velocities in the Timoshenko-Flugge theory are both smaller. (Author)

Descriptors :   (*MECHANICAL WAVES, *RODS), ELASTIC PROPERTIES, STRESSES, STRAIN(MECHANICS), PROPAGATION, EQUATIONS OF MOTION

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE