Some aspects concerning the displacements of the common point for a planar system of cantilever beams
Keywords:
screw theory, deformation, displacement, optimization, planar systemAbstract
We consider a planar system of cantilever bars which has a common point and we want to determine the mechanical and geometrical characteristics of a new bar (situated in the same plane) in order to obtain a minimum or maximum value for a certain criterion in a certain set of values. The calculation combines the theory of screws to obtain the equations from which one can determine the displacement of the common point and the forces in bars, with the numerical methods to obtain the optimum value for some criterion, the optimum being considered in the previous sense. A numerical example highlights the theory.
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