Accession Number : AD0741897

Title :   Forced Plane Vibration of a Moving Threadline.

Descriptive Note : Technical rept.,

Corporate Author : IOWA UNIV IOWA CITY DEPT OF MECHANICS AND HYDRAULICS

Personal Author(s) : Unione,Alfred J.

Report Date : APR 1972

Pagination or Media Count : 146

Abstract : The plane response of a moving threadline under forced excitation is studied experimentally and theoretically. Instabilities in the first mode vibration are produced for a variety of initial conditions. The axial velocity of instability is observed to be dependent on one dimensionless coefficient, labeled Tr. Tr is found from a dimensional analysis, and also appears in the non-dimensionalization of the basic equations of motion for a moving threadline. Analytically, a system of ordinary differential equations are developed from the basic partial differential equations, by applying a weighted residual method. The ordinary system is solved numerically, and the solutions are periodic for a range of axial velocity. The velocity where periodic solutions break down is found to be dependent on Tr, verifying the experimental results. (Author)

Descriptors :   (*MECHANICAL CABLES, *VIBRATION), EQUATIONS OF MOTION, WAVE PROPAGATION, VELOCITY, NUMERICAL INTEGRATION, TEST EQUIPMENT, TEST METHODS, NUMERICAL ANALYSIS, THESES

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE