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Submitted
August 9, 2023
Published
August 10, 2023
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Abstract

In the present work buckling analysis of beam using Eringen nonlocal elasticity theory is being carried out. The associated governing differential equation is solved by the modified differential quadrature method (MDQM). The present MDQM employs Chebyshev polynomial for the determination of weighting coefficient matrices. The results obtained from present analysis are being validated with those reported in literature. Effect of number of interpolation points on the accuracy of the results is also investigated. It is found that seven numbers of interpolations are required to achieve reasonable accurate results for various nonlocal parameter values. It is also observed that the effect of nonlocal parameter on critical buckling load for the higher modes is higher and more nonlinear than the lower modes. Further the effect of (i) nonlocal parameter, (ii) Winkler elastic foundation moduli and (ii) boundary conditions on the critical buckling loads are being investigated and discussed.

Keywords

nonlocal parameter, differential quadrature method, buckling load, Winkler foundation, boundary conditions

Article Details

How to Cite
T. Murmu, & S.C. Pradhan. (2023). Buckling Analysis of Beam on Winkler Foundation by Using Mdqm And Nonlocal Theory. Journal of Aerospace Sciences and Technologies, 60(3), 206–215. https://doi.org/10.61653/joast.v60i3.2008.660
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