Physical modeling of stresses caused by volume centrifugal forces in a compound rotation body

¹ Dagestan State Engineering University, Imam Shamil Avenue, 70, 367015, city of Makhachkala, Russia
² Moscow state university of civil engineering, Yaroslavskoye shosse, 26, Moscow, Russia, 129337

^* Corresponding author: muradak@mail.ru

Abstract

The article considers the question of physical modeling of stresses in a compound rotation body of a complex form with a complex loading distribution. According to the similarity parameters, the stresses, deformations and displacements caused by the volume forces are reduced proportionally to the similarity scale for geometrical dimensions which complicates their direct modeling with the use of the models made from conventional epoxy materials. The general methods of study of stresses and deformations usually register them with an inadequate sensitivity. On the basis of the independence principle, the initial problem is presented as a superposition of two problems. In the first (uniform) problem, the stresses in a rotation body caused by centrifugal forces are simulated through the standard “freezing” method. For the solution of the second (non-uniform) problem, the “freezing” of stresses is carried out in the model domain corresponding to the centrifugal forces acting there, and, at the room temperature, the models in their natural state are glued to the model, and the “annealing” of the compound model is performed. The components of radial, tangential and axial stresses at the outlines as well as the cross-sections of models have been obtained through the methods of normal translucence and of numerical integration of the equilibrium equation.