Optimization of Section Parameters of Finite Stiffness Cable Under Transverse Impact

A cable of finite stiffness is a model for a wide range of load-bearing structures, such as large-span suspended roofs of public and industrial buildings. At the same time, a new class of engineering structures has appeared relatively recently, designed to create an insurmountable physical obstacle to unauthorized movement of vehicles. The main elements that ensure the overall strength and rigidity of such structures are ring-shaped steel sections, which resist lateral impact. In this regard, there is a need to solve problems of optimal design of these elements. The objective of this study is to create a method that allows setting and solving the designated problems. The developed method is based on single-criterion multiparameter conditional optimization, the Bubnov-Galerkin method, as well as integral and differential calculus of multivariate functions. Verification of the proposed modeling technology is carried out. Discrepancies in the values of the adopted criteria for assessing the accuracy of the obtained results stay within the permissible errors in solving engineering problems. Using the developed method, the studies were conducted and the influence of the ratio of the internal to external diameter of the ring section on the weight and size characteristics, as well as the behavior of the bending-rigid cable under the action of a short-term dynamic load was revealed.