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Centralized heat capacity matrix method of finite element solving rolling process temperature field

A rolling process and heat capacity matrix technology, applied in the field of rolling, can solve problems such as affecting calculation stability and accuracy, time and space oscillation, and less than ideal effects.

Inactive Publication Date: 2008-05-14
NORTHEASTERN UNIV
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Problems solved by technology

This method starts from the temperature field at the initial moment, performs an iterative calculation every other time step, and then obtains the temperature field at each moment; its advantage is to save computer memory, but it often produces oscillations in time and space, which affects the Computational Stability and Accuracy
[0003] For the above-mentioned oscillation phenomenon, researchers have conducted in-depth research on the difference scheme, grid division method, weight variable coefficient, iterative variable step size, solving on the real number subspace and using the Norsette method to replace the calculation of the differential scheme, etc., and concluded that There are some methods to reduce or eliminate the vibration, but the effect is not ideal

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  • Centralized heat capacity matrix method of finite element solving rolling process temperature field
  • Centralized heat capacity matrix method of finite element solving rolling process temperature field
  • Centralized heat capacity matrix method of finite element solving rolling process temperature field

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Embodiment Construction

[0078] The calculation of the two-dimensional transient temperature field of the cross section in the process of air cooling after the plate comes out of the heating furnace is taken as an example to illustrate.

[0079] (1) Calculation conditions

[0080] Steel plate width B=2.0m, thickness H=0.22m, density ρ=7800.0kg / m3, specific heat c=670.0J / (kg.K), thermal conductivity k=30.0W / (m.K), and air The heat transfer coefficient is regarded as a function of temperature, the initial temperature of the steel plate is uniformly distributed (T0=1150°C), and the ambient temperature T∞=25°C.

[0081] (2) Finite element mesh

[0082] Assuming that the rolled piece is symmetrical, take a quarter of the section as the research object, take its symmetry center as the origin coordinates, use quadrilateral isoparametric elements, the number of elements in the width direction is m=30, and the number of elements in the thickness direction is n=10. The element division is shown in Figure 3 sh...

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Abstract

The invention relates to a method of solving collected heat capacity matrix during rolling process by using finite element, and carries out calculation by totaling elements at the same line or row with the heat capacity matrix in finite element linear equations instead of diagonal elements. The invention effectively overcomes the oscillating phenomenon produced by adopting a traditional finite element method to calculate the transient temperature field, and ensures the calculation stability. Approved by the comparison of an armor plate surface temperature value with an actually measured temperature result during medium and thick plates rolling process by using the method, the method ensures having higher calculation precession when calculating the transient temperature field.

Description

technical field [0001] The invention belongs to the technical field of rolling, in particular to a concentrated heat capacity matrix method for solving the temperature field in the rolling process by finite elements. Background technique [0002] In the field of modern engineering technology, finite element method has been widely used in the analysis process of structure, force and heat as an effective numerical analysis method; in recent years, many researchers have used finite element method to analyze processes such as hot rolling and quenching Medium transient temperature field. When using the finite element method to analyze the transient temperature field, the method usually used is to carry out structural discretization in space and use finite difference scheme to solve in time. This method starts from the temperature field at the initial moment, performs an iterative calculation every other time step, and then obtains the temperature field at each moment; its advant...

Claims

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Application Information

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IPC IPC(8): G06F17/50
Inventor 刘刚李长生刘相华
Owner NORTHEASTERN UNIV
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