Effect of Curvature on Deformation caused by Thermal Plate Forming

열간가공의 변형에 미치는 곡률의 영향에 관한 연구

  • Received : 2011.01.20
  • Accepted : 2011.04.22
  • Published : 2011.04.30


This study had the goal of investigating the effect of the curvature along the heating line on the transverse angular distortion of plates having an initial curvature from line heating. A thermo-elasto-plastic analysis was carried out using 54 models with various radii of curvature, plate thicknesses, and heating speeds. The results show the effect of the curvature along the heating line on the angular distortion in relation to changes in the magnitudes of the curvature, heating speed, and plate thickness. The present numerical results show that the time history of the angular distortion after cooling and reaching the final deformed shape for a plate having an initial curvature is quite different from that of a flat plate. This emphasized the importance of considering the curvature effect on the transverse angular distortion. From the viewpoint of the curvature effect on the deformation, it has been seen that the curvature does not affect the transverse shrinkage. In this study the predicting formula for the transverse angular distortion was derived through a regression analysis. It showed that as the curvature increased, the angular distortion was reduced because of the higher bending rigidity at the same heat input parameter, and the peak points moved toward the origin as the curvature increased.


Angular distortion;Curvature;Line heating;Thermal elasto-plastic analysis


  1. 이박인, 류희승, 변구근, 김학곤 (2002). "열간가공에 의한 강판의 곡 가공 자동화 시스템", 대한조선학회논문집, 제39권, 제2호, pp 34-44.
  2. 이장현, 신종계 (2002). "유한요소해석과 다변수해석에 의한 선상가열 변형관계식", 대한조선학회논문집, 제39권, 제2호, pp 69-80.
  3. 이주성 (1997). "선상가열법에 의한 강판의 곡가공 자동화 시스템(III)", 대한조선학회논문집, 제34권, 제2호, pp 85-89.
  4. 이주성 (2003). "강판의 곡가공 자동화를 위한 수치제어 시스템의 개발", 한국해양공학회지, 제17권 제1호, pp 72-79.
  5. 임동용 (2003). 강판의 선상가열시 변형량 예측 모델의 개발, 울산대학교 공학석사학위논문.
  6. 장창두, 하윤석, 고대은, 문성춘 (2002). "선상가열 판변형 해석을 위한 고유변형도 영역의 결정법", 대한조선학회논문집, 제39권, 제1호, pp 82-89.
  7. Son, K.J., Yun, J.O., Kim, Y.W. and Yang, Y.-S. (2007). "Analysis of Angular Distortion in Line-heating", International J. of Mechanical Sciences, Vol 49 pp 1122-1129.
  8. Terasaki, T., Yamaguchi, T.K., Nomoto, T. and Kitamura, T. (2002). "Study on Transverse Shrinkage and Angular Distortion Generated by Line Heating", J. Society of Naval Architecture of Japan, Vol 193, pp 65-74.
  9. Ueda, Y., Murakawa, H., Rashwan, A.M., Okumoto, Y. and Kamichika, R. (1991). "Development of Computer Aided Process Planing System for Plate Bending by Line Heating (1st Report)", J. of the Society of Naval Architects of Japan, Vol 170, pp 577-586.


Supported by : 한국연구재단, 울산대학교