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Green’s Functions for Timoshenko Beam Problems FREE

[+] Author Affiliations
C. M. Wang, K. Y. Lam, X. Q. He

The University of Singapore, Singapore

Paper No. 97-AA-103, pp. V001T13A079; 6 pages
doi:10.1115/97-AA-103
From:
  • ASME 1997 Turbo Asia Conference
  • ASME 1997 Turbo Asia Conference
  • Singapore, September 30–October 2, 1997
  • Conference Sponsors: International Gas Turbine Institute
  • ISBN: 978-0-7918-7867-5
  • Copyright © 1997 by ASME

abstract

In this paper, a unified formulation is given for the bending, buckling and vibration problems of uniform Timoshenko and Euler-Bernoulli beams resting on various models of elastic foundation. Canonical Green’s functions have been derived for these beams which can be readily used to furnish exact solutions. In addition to elucidating the behaviour of the beams, the exact solutions serve as important benchmark results for checking the convergence and accuracy of various solutions obtained from numerical methods.

Copyright © 1997 by ASME
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