Unilaterally Supported Beam by an Elastic Obstacle
Michaela Zahradníková, Jan Eisner · 2022 12th International Conference on Advanced Computer Information Technologies (ACIT) · 2022
We study a simple model of a spring or beam in ID given by a second order ODE and homogeneous Dirichlet boundary conditions. We assume that the spring/beam is unilaterally supported from below on a part of the domain by a soft/elastic obstacle. We focus on the dependence of the critical forces (which stress the beam and cause its buckling) on the strength/elasticity parameter of the obstacle. We present both analytical and numerical results.