Large deformations of a heavy cantilever

Numerical resolution of large deflections in cantilever beams by Bernstein spectral method and a convolution quadrature.

The mathematical modeling of the large deflections for the cantilever beams leads to a nonlinear differential equation with the mixed boundary conditions. Different numerical methods have been implemented by various authors for such problems. In this paper, two novel numerical techniques are investigated for the numerical simulation of the problem. The first is based on a spectral method utiliz...

Large Deformations of a Soft Porous Material

Christopher W. MacMinn, Eric R. Dufresne, and John S. Wettlaufer Department of Engineering Science, University of Oxford, Oxford OX1 3PJ, United Kingdom Department of Materials, ETH Zurich, CH-8093 Zurich, Switzerland Yale University, New Haven, Connecticut 06520, USA The Mathematical Institute, University of Oxford, Oxford OX1 3LB, United Kingdom Nordita, Royal Institute of Technology and Stoc...

effect of sub-grid scales on large eddy simulation of particle deposition in a turbulent channel flow

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Deformations of large fundamental groups

Large and small deflections of a cantilever beam

"Large and small deflections of a cantilever beam".Large and small deflections of a cantilever beam". ABSTRACT The classical problem of deflection of a cantilever beam of linear elastic material, under the action of an external vertical concentrated load at the free end, is analyzed. We present the differential equation governing the behaviour of this physical system and show that this equation...