Mathematical models and methods of optimization of technological heating regimes of the piecewise homogeneous glass shell. State-of-the-art investigations

Abstract

In this paper, the state-of-the-art investigations of optimization problems with respect to the stress state of technological heating regimes for piecewise-homogeneous glass shell elements have been analysed, which are important for development of different types of production processes during production of elements of modern devices for specific target application, in particular, vacuum and power equipment. The directions of development of this class of problems of optimization and corresponding approaches to their formulation and solving are identified.

Mathematical model of optimization of annealing regimes by the stress state for heat-sensitive glass elements of structures

“…1 , using the correlation (3), we calculate the temperature for the time moment τ i and for arbitrary values of the thickness coordinate γ. With this, we use the appropriate numerical differentiation formulas to calculate the derivatives T 1 in time [13][14][15].…”