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Abstract
The imperfection sensitivity of a beam on a nonlinear elastic foundation is studied. The nonlinear equilibrium equations are based on a high-order nonlinear kinematic model which takes into account transverse shear deformation. The resulting differential equations are solved by Newton's method and a special finite-difference scheme. A parametric study of the effects of imperfection shape and amplitude is presented for a compression-loaded isotropic beam on a hardening and softening elastic foundation. The results indicate that the beam on a hardening foundation exhibits substantial postbuckling stiffness as compared to the beam with a softening foundation. Moreover, it is shown that the overall behavior can be characterized by wavelength changes of the buckled pattern as the loading parameter increases.
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