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Free Vibration Analysis of a Beam With an Attached In-Span Beam With Tip Mass

[+] Author Affiliations
O. R. Barry, J. W. Zu

The University of Toronto, Toronto, ON, Canada

D. C. D. Oguamanam

Ryerson University, Toronto, ON, Canada

Paper No. DSCC2013-3733, pp. V001T06A002; 8 pages
  • ASME 2013 Dynamic Systems and Control Conference
  • Volume 1: Aerial Vehicles; Aerospace Control; Alternative Energy; Automotive Control Systems; Battery Systems; Beams and Flexible Structures; Biologically-Inspired Control and its Applications; Bio-Medical and Bio-Mechanical Systems; Biomedical Robots and Rehab; Bipeds and Locomotion; Control Design Methods for Adv. Powertrain Systems and Components; Control of Adv. Combustion Engines, Building Energy Systems, Mechanical Systems; Control, Monitoring, and Energy Harvesting of Vibratory Systems
  • Palo Alto, California, USA, October 21–23, 2013
  • Conference Sponsors: Dynamic Systems and Control Division
  • ISBN: 978-0-7918-5612-3
  • Copyright © 2013 by ASME


A double-beam system is used to model a single conductor transmission line with a stockbridge damper. The base beam represents the conductor and is subjected to an axial tensile load. The in-span beam with a tip mass at each end models the Stockbridge damper and it is arbitrarily attached to the base beam. Using Hamilton’s principle, the system equations of motion are derived and an expression is presented for the frequency equation. The formulation is validated with finite element results in the literature. Parametric studies are done to investigate the influence of the flexural rigidity and location of the in-span beam on the lowest five natural frequencies of the system. Investigation is also performed to examine the effect of the distance separating to two beams.

Copyright © 2013 by ASME



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