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Title: Elegant and accurate closed form solutions to predict vibration and buckling behaviour of slender beams on Pasternak foundation
Authors: Rao, G Venkateswara
Raju, K Kanaka
Issue Date: Apr-2002
Publisher: NISCAIR-CSIR, India
Abstract: Elegant and accurate closed form solutions to predict the vibration and buck ling of slender beams on Pasternak (two parameter elastic) foundation have been derived using simple single term trigonometric functions which satisfy the geometric boundary conditions in conjunction with the Rayleigh-Ritz method. Bernoulli-Euler beam theory is used for the analysis. Simply supported, cantilever and clamped boundary conditions are considered in the present study. Numerical results for the fundamental frequency and buckling load parameters are presented in the form of Tables. The present results show an excellent agreement when compared with those obtained by the versatile finite element method. An anomaly observed in the case of the buckling problem for very high first foundation stiffness parameter, is explained clearly for the case of a simply supported beam and corrective measure in terms of the mode of buckling is provided.
Page(s): 98-102
ISSN: 0975-1017 (Online); 0971-4588 (Print)
Appears in Collections:IJEMS Vol.09(2) [April 2002]

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