Optimization of crane mechanisms to reduce vibration

Abstract

Material handling operations give rise to Euler and Coriolis forces whose impacts should be minimized already at the stage of selection of the system parameters and mechanism structure. Effective optimization, confirmed by dynamic analysis, allows the dynamic overload values to be significantly reduced at the stage of design of the steel structure, resulting in a lighter and cheaper structure. Basing on the mathematical model the optimization criteria were formulated in the form of quadratic functionals for each crane mechanism. Solving the functionals to find the minimum values yields a set of optimal parameters of mechanisms such that their interactions should be optimal. The innovative feature of the presented solution is a comprehensive approach to optimization of multi-drive systems, targeting the vibration reduction of the load suspended on the hook and minimizing forces acting in the ropes. Optimization tasks should be executed independently, in the specified order resulting from feedback interactions between respective mechanisms. This approach paired with the method of selective analysis of mechanisms structures will be further developed into the method of synthesizing globally optimal configurations of interacting mechanisms.