Green's functions for Timoshenko beam problems

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)22_Publication in policy or professional journal

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Original languageEnglish
Journal / PublicationAmerican Society of Mechanical Engineers (Paper)
Publication statusPublished - 1997
Externally publishedYes


TitleProceedings of the 1997 ASME ASIA Congress & Exhibition
CitySingapore, Singapore
Period30 September - 2 October 1997


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.