Optimization of ribbed cylindrical shells and round ribbed plates using Pontryagin maximum principle

Abstract

An application of the modern control theory – Pontryagin maximum principle – for solving the problem of optimizing ribbed cylindrical shells and round ribbed plates is presented in this paper. By changing the equilibrium equations in form of high-order partial differential equations into system of canonical ones, the optimum solution is to establish the Hamilton function and investigate its extreme. The calculation results show that the weight of the optimal  reinfoced concrete shells and round plates can be considerably decreased.