Optimal control of heating a spherical shell with constraints on thermal stresses

1978 ◽  
Vol 14 (9) ◽  
pp. 919-925
Author(s):  
V. M. Vigak ◽  
A. A. Fedorishin ◽  
A. I. Pilyavskii
1957 ◽  
Vol 24 (3) ◽  
pp. 376-380
Author(s):  
E. L. McDowell ◽  
E. Sternberg

Abstract This paper contains an explicit series solution, exact within the classical theory of elasticity, for the steady-state thermal stresses and displacements induced in a spherical shell by an arbitrary axisymmetric distribution of surface temperatures. The corresponding solutions for a solid sphere and for a spherical cavity in an infinite medium are obtained as limiting cases. The convergence of the series solutions obtained is discussed. Numerical results are presented appropriate to a solid sphere if two hemispherical caps of its boundary are maintained at distinct uniform temperatures.


1974 ◽  
Vol 6 (6) ◽  
pp. 657-662
Author(s):  
R. N. Shvets ◽  
V. D. Pavlenko ◽  
L. V. Sinishin

1983 ◽  
Vol 15 (4) ◽  
pp. 431-435
Author(s):  
R. N. Shvets ◽  
A. P. Matkovskii

2014 ◽  
Vol 136 (3) ◽  
Author(s):  
Moustafa Elshafei ◽  
Mohamed A. Habib ◽  
Iyad Al-Zaharnah ◽  
Medhat A. Nemitallah

In many cogeneration systems, one or more boilers are used in hot standby to meet the plant demand of steam in case of failure or upset in the cogeneration unit. Such boilers need to quickly respond to sudden and large steam load changes. However, fast changes in the firing rate cause transient changes in both the drum-boiler steam pressure and drum level, in addition to the potential of developing of thermal stresses in the walls of steam risers. A genetic algorithm (GA) based optimization scheme is proposed for tuning the conventional boiler control loops to maximize the ability of the boiler to respond to large steam demand while keeping the fluctuations in pressure, drum level, and feed rate within acceptable operation limits. A nonlinear model for an actual boiler is first built, validated, and then, it is used to demonstrate the performance of the boiler with the proposed control loop optimization.


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