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:

1972-04-01

Pagination or Media Count:

146.0

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