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Optimal Positioning of Heating Lines in a Compression Molding Die Using the Boundary Element Method

경계요소법을 이용한 압축성형다이 가열선의 최적위치 설계

  • 이부윤 (한국중공업(주) 기술연구소) ;
  • 조종래 (한국중공업(주) 기술연구소)
  • Published : 1993.06.01

Abstract

A shape optimization problem is formulated to determine the optimal position of heating lines in a compression molding die. The objective of the problem is that the cavity surface would be maintained by a prescribed uniform temperature. A boundary integral equation for the sensitivity of the temperature in terms of hole position is derived using the method of shape design sensitivity analysis. The boundary element method is employed to analyze the temperature and sensitivity field of the die. The sensitivity calculation algorithm is incorporated in an optimization routine. To demonstrate a numerical implementation, an example problem arising in thermal design of a compression molding die is dealt with, showing that the number of heating lines chosen for the die strongly affects the ultimate uniformity of the cavity surface temperature.