Nonlinear Spline Method for Buckling Analysis of Steel Strip

2010 ◽  
Vol 145 ◽  
pp. 14-19
Author(s):  
Jian Qin ◽  
Qing Dong Zhang ◽  
Jie Tao Dai
Keyword(s):  
Function Method ◽  
Spline Function ◽  
Steel Strip ◽  
Rolling Process ◽  
Buckling Analysis ◽  
Spline Method ◽  
Residual Strains ◽  
Stress States ◽  
Rigid Plane ◽  
The Waves

The paper deals with numerical considerations of buckling phenomena in steel strip during rolling and leveling of sheet metal. The self-equilibrating stress states due to residual strains caused by the rolling process are calculated by the spline function method. The developed numerical model provides an estimation of buckling critical loads and wave configuration. It is shown how the waves observed on the strip sliding over or lying on a rigid plane, so one can provide information about the distribution of the differences in the plastic strains over the width of the strip which leads to the buckled configuration. The spline function method proposed in this paper is simpler and more convenient than traditional finite element method in the buckling analysis.

scholarly journals Intelligent methods for root cause analysis behind the center line deviation of the steel strip

2020 ◽  
Vol 10 (1) ◽  
pp. 386-393
Author(s):  
Henna Tiensuu ◽  
Satu Tamminen ◽  
Olli Haapala ◽  
Juha Röning
Keyword(s):  
Hot Rolling ◽  
Steel Strip ◽  
Decision Support Tool ◽  
Rolling Process ◽  
Statistical Prediction ◽  
Center Line ◽  
Quality Model ◽  
Critical Feature ◽  
Support Tool ◽  
Shape Errors

AbstractThis article presents a statistical prediction model-based intelligent decision support tool for center line deviation monitoring. Data mining methods enable the data driven manufacturing. They also help to understand the manufacturing process and to test different hypotheses. In this study, the original assumption was that the shape of the strip during the hot rolling has a strong effect on the behaviour of the steel strip in Rolling, Annealing and Pickling line (RAP). Our goal is to provide information that enables to react well in advance to strips with challenging shape. In this article, we show that the most critical shape errors arising in hot rolling process will be transferred to critical errors in RAP-line process as well. In addition, our results reveal that the most critical feature characterizes the deviation better than the currently used criterion for rework. The developed model enables the user to understand better the quality of the products, how the process works, and how the quality model predicts and performs.

Direct measurement of transverse residual strains in aorta

1996 ◽  
Vol 270 (2) ◽  
pp. H750-H759 ◽  
Author(s):  
H. C. Han ◽  
Y. C. Fung
Keyword(s):  
Stress State ◽  
Outer Layer ◽  
Residual Strain ◽  
Longitudinal Axis ◽  
Outer Wall ◽  
Residual Strains ◽  
Stress States ◽  
Sectional Surface ◽  
Thoracic And Abdominal ◽  
Load State

Residual strains were measured in the porcine aorta. Segments were cut from the aorta perpendicular to its longitudinal axis. Microdots of water-insoluble black ink were sprinkled onto the transverse sectional surface of the segments in the no-load state. The segments were then cut radially, and sectional zero-stress states were approached. The coordinates of selected microdots (2-20 microns) were digitized from photographs taken in the no-load state and the zero-stress state. Residual strains in the transverse section were calculated from the displacement of the microdots. The circumferential residual strains on the inner wall and outer wall were calculated from the circumferential lengths in the no-load state and the zero-stress state. Results show that the circumferential residual strain is negative (compressive) in the inner layer of the aortic wall and positive (tensile) in the outer layer, whereas the radial residual strain is tensile in the inner layer and compressive in the outer layer. This residual strain distribution reduces the stress concentration in the aorta under physiological load. The experimental results compared well with theoretical estimations of a cylindrical model. Regional difference of the residual strain exists and is significant (P < 0.01), e.g., the circumferential residual strains on the inner wall of the ascending, descending thoracic, and abdominal regions of the aorta are -0.133 +/- 0.019, -0.074 +/- 0.020, and -0.046 +/- 0.017 (mean +/- SD), respectively. More radial cuts of a segment produced no significant additional strains. This means that an aortic segment after one radial cut can be considered as the zero-stress state.

scholarly journals Silicon Steel Strip Profile Control Technology for Six-High Cold Rolling Mill with Small Work Roll Radius

Metals ◽  
2020 ◽  
Vol 10 (3) ◽  
pp. 401
Author(s):  
Hainan He ◽  
Jian Shao ◽  
Xiaochen Wang ◽  
Quan Yang ◽  
Xiawei Feng
Keyword(s):  
Cold Rolling ◽  
Rolling Mill ◽  
Steel Strip ◽  
Work Roll ◽  
Rolling Process ◽  
Silicon Steel ◽  
Cold Rolling Mill ◽  
Strip Profile ◽  
Profile Control ◽  
Small Work

Due to the requirement of magnetic properties of silicon steel sheets, producing high-precision size strips is the main aim of the cold rolling industry. The tapered work roll shifting technique of the six-high cold rolling mill is effective in reducing the difference in transverse thickness of the strip edge, but the effective area is limited, especially for a high crown strip after the hot rolling process. The six-high mill with a small work roll size can produce a strip with higher strength and lower thickness under a smaller rolling load. At the same time, the profile of the strip can be substantially improved. By advancing a well-established analytical method, a series of simulation analyses are conducted to reveal the effectiveness of a small work roll radius for the strip profile in the six-high cold rolling process. Through the analysis of flattening deformation and deflection deformation on the load, the change rule of the strip profile produced by the work roll with a small roll diameter can be obtained. Combined with theoretical analysis and industrial experiments, it can be found that the improvement effect of the small work roll radius on the profile of the silicon strip is as significant.

Analysis and characterisation of ultra-fine ferrite produced during a new steel strip rolling process

1999 ◽  
Vol 40 (4) ◽  
pp. 433-438 ◽  
Author(s):  
P.J. Hurley ◽  
P.D. Hodgson ◽  
B.C. Muddle
Keyword(s):  
Steel Strip ◽  
Rolling Process ◽  
Strip Rolling

Evaluation on Interface Bonding of Thin Aluminum Clad Steel Strip

2015 ◽  
Vol 1120-1121 ◽  
pp. 967-972 ◽  
Author(s):  
Long Li ◽  
Xin Chen ◽  
De Jing Zhou ◽  
Chao Lan Tang
Keyword(s):  
Bond Strength ◽  
Tensile Test ◽  
Shear Test ◽  
Steel Strip ◽  
Energy Dispersive Spectrometer ◽  
Fracture Feature ◽  
Thin Aluminum ◽  
Stress States ◽  
Clad Steel ◽  
Stable Reduction

The bond strength were comparatively measured by tensile test, tension shear test and compression shear test in order to evaluate bonding behavior of thin aluminum clad steel strips bonded by cold rolling, and furthermore determine minimum stable reduction of clad strips. The morphologies after fracture were observed and analyzed using SEM (scanning electron microscope) and EDS (energy dispersive spectrometer). The results show that it is lower for the bond strength obtained by shear test than one obtained by tensile test, which largely attributes to different stress states during testing. Minimum stable reduction can be defined as one beyond which the fracture would completely occur at aluminum component layer instead of interface between components, which is suggested as 40-45% based on fracture feature of Al clad steel strip.

Spline Function Method Analysis Nature Frequency of Annular Foundations

2011 ◽  
Vol 128-129 ◽  
pp. 307-313
Author(s):  
Xiu Yun Gao ◽  
Ru Xin Jing ◽  
Jian Hui Song
Keyword(s):  
Function Method ◽  
Spline Function ◽  
Dynamical Equation ◽  
Curve Beam ◽  
Minimum Potential Energy ◽  
Oil Storage ◽  
Nature Frequency ◽  
Minimum Potential ◽  
Method Analysis ◽  
Good Agreement

The foundation style of such construction as liquefied oil storage tank and environmental protected reaction pool is mostly annular foundation. In the paper, the annular foundation will be put on WINKER foundation, and then the annular foundation will be simplified as a curve beam, the cubic B spline functions as displacement functions of curve beam. The dynamical equation and the nature frequency of annular foundation based on the instantaneous principle of minimum potential energy, and put forward Spline Function Method to solve the nature frequency of annular foundation. Numerical examples are provided to demonstrate the simplicity and effectiveness of the present method. The results are in good agreement with experimental data.

Zero-stress states of human pulmonary arteries and veins

1998 ◽  
Vol 85 (3) ◽  
pp. 867-873 ◽  
Author(s):  
W. Huang ◽  
R. T. Yen
Keyword(s):  
Pulmonary Arteries ◽  
Outer Wall ◽  
External Pressure ◽  
Opening Angle ◽  
Arterial Tree ◽  
Human Lungs ◽  
Normal Human ◽  
Residual Strains ◽  
Stress States ◽  
Arteries And Veins

The zero-stress states of the pulmonary arteries and veins from order 3 to order 9 were determined in six normal human lungs within 15 h postmortem. The zero-stress state of each vessel was obtained by cutting the vessel transversely into a series of short rings, then cutting each ring radially, which caused the ring to spring open into a sector. Each sector was characterized by its opening angle. The mean opening angle varied between 92 and 163° in the arterial tree and between 89 and 128° in the venous tree. There was a tendency for opening angles to increase as the sizes of the arteries and veins increased. We computed the residual strains based on the experimental measurements and estimated the residual stresses according to Hooke’s law. We found that the inner wall of a vessel at the state in which the internal pressure, external pressure, and longitudinal stress are all zero was under compression and the outer wall was in tension, and that the magnitude of compressive stress was greater than the magnitude of tensile stress.

scholarly journals Investigation and Optimization of Load Distribution for Tandem Cold Steel Strip Rolling Process

Metals ◽  
2020 ◽  
Vol 10 (5) ◽  
pp. 677 ◽  
Author(s):  
Xin Jin ◽  
Changsheng Li ◽  
Yu Wang ◽  
Xiaogang Li ◽  
Yongguang Xiang ◽  
...  
Keyword(s):  
Genetic Algorithm ◽  
Cold Rolling ◽  
Prediction Model ◽  
Load Distribution ◽  
Rolling Mill ◽  
Fitness Function ◽  
Steel Strip ◽  
Rolling Process ◽  
Cold Rolling Mill ◽  
Tandem Cold Rolling

In order to improve the cold rolled steel strip flatness, the load distribution of the tandem cold rolling process is subject to investigation and optimization. The strip deformation resistance model is corrected by an artificial neural network that is trained with the actual measured data of 4500 strip coils. Based on the model, a flatness prediction model of strip steel is established in a five-stand tandem cold rolling mill, and the precision of the flatness prediction model is verified by rolling experiment data. To analyze the effect of load distribution on flatness, the flatness of stand 4 is calculated to be 7.4 IU, 10.6 IU, and 16.8 IU under three typical load distribution modes. A genetic algorithm based on the excellent flatness is proposed to optimize the load distribution further. In the genetic algorithm, the classification of flatness of stand 4 calculated by the developed flatness prediction model is taken as the fitness function, with the optimal reduction of 28.6%, 34.6%, 27.3%, and 18.6% proposed for stands 1, 2, 3, and 4, respectively. The optimal solution is applied to a 1740 mm tandem cold rolling mill, which reduce the flatness classification from 10.8 IU to 3.2 IU for a 1-mm thick steel strip.

Sign in / Sign up

Export Citation Format

Share Document