Abstract
The shape function of the moving least-square (MLS) approximants is stable and continuity on global domain, and the solution has the characteristics of high precision. The discretized system equation for beam on Winkler elastic foundation is derived using the minimum potential energy principle. The essential boundary condition is employed by using Lagrange multipliers. Case studies show that the EFG is easy to implement, and very versatile for the analysis of beam on Winkler elastic foundation.
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