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A numerical approach to static deflection analysis of an infinite beam on a nonlinear elastic foundation: one-way spring model. (English) Zbl 1319.74013

Summary: A numerical procedure proposed by Jang et al. [“A new method for the non-linear deflection analysis of an infinite beam resting on a non-linear elastic foundation,” Int. J. Non-Linear Mech. 46, No. 1, 339–346 (2011); doi:10.1016/j.ijnonlinmec.2010.09.017] is applied for the numerical analyzing of static deflection of an infinite beam on a nonlinear elastic foundation. And one-way spring model is used for the modeling of fully nonlinear elastic foundation. The nonlinear procedure involves Green’s function technique and an iterative method using the pseudo spring coefficient. The workability of the numerical procedure is demonstrated through showing the validity of the solution and the convergence test with some external loads.

MSC:

74K10 Rods (beams, columns, shafts, arches, rings, etc.)
74B20 Nonlinear elasticity
74G60 Bifurcation and buckling
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References:

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