Cross-section geometry optimization of flexural thread using energy criterion

Abstract

Purpose: The aim of this work is to develop a method to determine the best geometrical parameters of the flexural thread cross-section providing the lowest potential energy of deformation, thereby meeting the requirements for the minimum weight based on strength and rigidity limitations on the designed element.Methodology/approach: The problem of calculating the best parameters is reduced to nonlinear mathematical programming using the energy criterion. The latter provides to gain the minimum potential energy of deformation of the designed element.Research findings: The proposed methodology allows evaluating the results obtained. The numerical experiment determines the optimum cross-section geometry of flexural thread. The spread in values between proposed methodology and finite element method are insignificant.Practical implications: The proposed method provides the solution of inverse problems in a geometrically nonlinear formulation, including a search for optimum geometrical parameters of elements that combine the operation of beams and flexural thread. The proposed method can be used at the design stage of large-span shells of buildings.