Accession Number : AD0625408
Title : HARMONIC WAVE PROPAGATION IN ELASTIC RODS OF ELLIPTICAL CROSS-SECTION.
Descriptive Note : Technical rept.,
Corporate Author : CALIFORNIA INST OF TECH PASADENA DIV OF ENGINEERING AND APPLIED SCIENCE
Personal Author(s) : Wong,P. K. ; Milowitz,J. ; Scott,R. A.
Report Date : NOV 1965
Pagination or Media Count : 33
Abstract : Using the potential equations of motion of linear elasticity, the propagation of harmonic waves in an infinite isotropic rod of elliptical cross-section is investigated. Three modes of motion are found to exist, corresponding to longitudinal, flexural, and torsional modes in a circular rod. The frequency equation for a flexural case is obtained in the form of an infinite determinant (set equal to zero), the elements of which involve Mathieu functions and their derivatives. It is shown that this determinant can be written in diagonal form when the eccentricity goes to zero, the diagonal elements describing the propagation of harmonic flexural and circumferential modes (of odd order) in a circular rod. Finally, some possible numerical procedures are discussed. (Author)
Descriptors : (*MECHANICAL WAVES, PROPAGATION), (*POTENTIAL THEORY, MECHANICAL WAVES), RODS, ELASTIC PROPERTIES, HARMONIC ANALYSIS, EQUATIONS OF MOTION
Subject Categories : Mechanics
Distribution Statement : APPROVED FOR PUBLIC RELEASE