Optimization of geometry for the lateral buckling process of a cantilever beam

R. Drazumeric, F. Kosel, T. Kosel
2007 WIT Transactions on the Built Environment   unpublished
Using the large displacement theory (theory of the third order according to Chwalla), this paper deals with the lateral buckling process of a slender, elastic cantilever beam with a changeable height of a rectangular cross section and represents it with a system of nonlinear differential equations. Based on a mathematical model of the lateral buckling process, which considers the geometric and boundary conditions, an optimal geometry of a cantilever beam is obtained using the calculus of
more » ... on. A comparison between the properties of the beam with optimized geometry and those of a referential beam with a constant cross section is shown. The result of the optimization process is, besides a higher critical load, a higher carrying capacity of the optimal geometry beam in the postbuckling region. For a verification of the theoretical results an experiment of the lateral buckling process had been done. ϑ that are in the interval [0,1] continuous and continuously differentiable, we are looking for the one that would give a minimum value to functional ( ) ϑ J . Computer Aided Optimum Design in Engineering X 71
doi:10.2495/op070071 fatcat:d4ofu4644zdzfcxg7cs7bjecqu