Optimization of thick-walled concrete shell based on the solution of the inverse problem of mechanics of heterogeneous bodies
Abstract
Optimization of thick-walled concrete shell based on the solution of the inverse problem of mechanics of heterogeneous bodies
Incoming article date: 25.09.2013We solved the problem of optimization of thick-walled prestressed concrete cylinder loaded by internal pressure. Preliminary stresses in such a cylinder are created by wounding with tension cables on the outer surface. The idea of the method is to find the law of variation of modulus of elasticity , in which the state of stress is given . The analytical dependence of modulus of elasticity of the radius at which the tensile stress in the entire thickness of the shell does not occure was found. By creation of indirect heterogeneity we reduced the consumption of rebar by 10%. The direct problem - determining the stress- strain state of a cylinder with a constant modulus of elasticity was also resolved.
Keywords: thick-walled prestressed concrete cylinder, optimization, inverse problem, theory of elasticity, heterogeneity