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Dynamics of a 3D Micropolar Beam Model

[+] Author Affiliations
Soroosh Hassanpour, G. R. Heppler

University of Waterloo, Waterloo, ON, Canada

Paper No. DETC2014-35453, pp. V008T11A012; 10 pages
doi:10.1115/DETC2014-35453
From:
  • ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 8: 26th Conference on Mechanical Vibration and Noise
  • Buffalo, New York, USA, August 17–20, 2014
  • Conference Sponsors: Design Engineering Division, Computers and Information in Engineering Division
  • ISBN: 978-0-7918-4641-4
  • Copyright © 2014 by ASME

abstract

The development of a simplified micropolar beam model is presented and the governing dynamic equations for a micropolar beam deforming in 3D space, under different types of external loading and boundary conditions are derived. The dynamic equations are derived from Hamilton’s principle and the finite element method is used to provide numerical examples. The modal behavior of the developed micropolar beam model and the conditions under which the results of classical beam models will be recovered are presented.

Copyright © 2014 by ASME

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