Calculation methods and problems of optimizing the effective characteristics of rods made of composite materials

Abstract

Abstract A pipe made of composite material is considered. Two approaches are proposed. The first is based on the averaging method. In this case, an effective model is a model of a hollow circular cylinder. In the second approach, a one-dimensional beam is an effective model. We also represent the problem of minimizing the weight of the pipe at fixed stiffness of the layers. The paper shows that this problem is equivalent to a well-studied nonlinear programming problem.