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Matrix Models for Rolling Process


Structure-Matrix Models for Improving Section Rolling and Wire Rod Rolling Processes and Preciseness of Rolled Shapes

Tech Area / Field

  • INF-SOF/Software/Information and Communications
  • MAN-PDM/Plant Design and Maintenance/Manufacturing Technology
  • MAT-ALL/High Performance Metals and Alloys/Materials

3 Approved without Funding

Registration date

Leading Institute
MISIS (Steel and Alloys), Russia, Moscow

Supporting institutes

  • VNIITF, Russia, Chelyabinsk reg., Snezhinsk


  • ALSTOM Power Conversion, Germany, Berlin

Project summary

In modern requirements the necessity for reliable complex and fast mathematical models permitting to solve a problems of projection, assaying and running for technological proceses in different areas of engineering increases.

It is especially important for fast flowing past processes with continuous and non-continuous materials at their treatment and use.

The existing digital models, founded, as a rule, on application of finite element methods allow to discover solutions of many problems in these areas, but require huge expenditures of time for opening-up and performance of computational procedures.

Therefore, for the flowing assaying of processes and running by them in a real-time in such areas, as rocket technologies or high-speed deformation processes of nonmetallic materials, metals and alloys - the development alternate fast and, simultaneously, complex and adaptive methods and models, in particular in metal and alloys section rolling and wire rod rolling, is the extremely actual problem.

Research problem.

The base research problem is the development on a base of original structural - matrix approach of a complex of adaptive mathematical models, algorithms, procedures both software for a fast and effective solution of practical problems of calculation, assaying and perfecting of metal deformation processes, and also running of process of a metal forming in section and wire rod rolling with the purpose of a heightening of effectiveness of a rolling-mill practice, lowering energy loses and heightening of finished sections quality.

Parallel problem is the development of procedures and recommendations for application of the structural - matrix approach in other technical areas and problems.

The methodology of explorations.

The base mathematical method is the structural-matrix approach, for which the base principles permitting to model technological processes in different areas of engineering designed. The practical application of the given approach will be designed for processes of rolling of simple and flange sections from mono- and composite metals. The structural - matrix approach allows by development of a base mathematical model of rolling processes to adapt the given model for concrete technological processes (rolling mills) and aspects of solved problems (projection, assaying and perfecting, and also running). For development of application models holding mathematical simulation of processes on a base of structural matrixes, multivariate computer simulation of technological conditions in different processes of section rolling and wire rod rolling, statistical explorations of a great many of experimental data (under production conditions and during laboratory experiments), development of the methodology and software for a solution of application problems in section rolling area.

Volume of explorations.

The explorations guess development of a blanket mathematical model of section and wire rod rolling processes for the simple and complex sections from mono- and composite metals, and also methodology of adaptation to the concrete roll pass designs and processes of rolling, irrespective of their complexity. On a base of a blanket model is recognized schedule to develop a complex of criteria for use at the assaying of rolling processes and running by them. On a base of theoretical and experimental explorations is recognized schedule development of universal procedures and software for:

– calculations of roll pass design and parameters of deformation during a rolling;

– assaying and perfecting of operating roll pass designs and processes of section rolling;
– estimation of energy loses in section rolling processes;
– running of a metal forming and adjustment of rolling mills in real-time mode.


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