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Asymmetric rolling: Theory and Technology

100%

Piesin A. M. , Salganik V. M. , Dyja H. , Chikishev D. N. , Pustovoitov D. O. , Kawałek A.

tom Vol. 79, nr 5

358--362

In the work, the results of application of asymmetrical rolling process of plates in Mill 5000 OSJC “Magnitogorsk Iron and Steel Works” was presented. The asymmetrical process of rolling was used to get the semi products with 40÷220 mm thickness, 4300 mm width, 5000 mm length and variable bend radius (1850÷5000 mm) for manufacturing the housing of chemical and metallurgical devices.

W pracy przedstawiono wyniki badań nad wprowadzeniem asymetrycznego walcowania blach grubych i płyt w Hucie Stali w Magnitogorsku w walcowni 5000. Asymetryczny proces walcowania zastosowano do wytwarzania półwyrobów o grubości 40÷220 mm, szerokości do 4300 mm i długości 5000 mm, ze zmiennym promieniem wygięcia (1850÷5000 mm), przeznaczonych na obudowy urządzeń metalurgicznych i chemicznych.

Topological derivative for linear elastic plate bending problems

100%

Novotny A. A. , Feijoo R. A. , Padra C. , Taroco E.

tom Vol. 34, no 1

339-361

This study concerns the application of the Topological-Shape Sensitivity Method as a systematic procedure to determine the Topological Derivative for linear elastic plate bending problems within the framework of Kirchhoff's kinematic approach. This method, based on classical Shape Sensitivity Analysis, leads to a constructive procedure to obtain the Topological Derivative. Utilising the well known terminology of structural optimization, we adopt, the total potential strain energy as the cost function and the equilibrium equation as the constraint. Variational formulation as well as the direct differentiation method are used to perform the shape derivative of the cost function. Finally, in order to obtain a uniform distribution of bending moments in several plate problems, the Topological Derivative was approximated, by the Finite Element Method, and used to find the best place to insert holes. A simple hard-kill like topology algorithm, which furnishes satisfactory qualitative results in agreement with those reported in the literature, is also shown.