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Reduced Minimization Theory in Skew Beam Element

공간곡선보요소에서의 감차최소화 이론

  • Moon, Won-joo (Dept.of Mechanical Engineering, Graduate School of Yonsei University) ;
  • Kim, Yong-woo (Dept.of Mechanical Engineering, Sunchon National University) ;
  • Min, Oak-key (Dept. of Mechanical Design Engineering, Yonsei University) ;
  • Lee, Kang-won (Dept.of Mechanical Engineering, Graduate School of Yonsei University)
  • 문원주 (연세대학교 대학원 기계공학과) ;
  • 김용우 (순천대학교 기계공학과) ;
  • 민옥기 (연세대학교 기계설계학과) ;
  • 이강원 (연세대학교 대학원 기계공학과)
  • Published : 1996.12.01

Abstract

Since the skew beam element has two curvatures which are a curvature and a torsion, spatial behavior of curved beam which cannot be included in one plane can be anlayzed by emploting the skew beam element. The $C^{0}$-continuous skew beam element shows the stiffness locking phenomenon when full integration is employed. The locking phenomenpn is characterized by two typical phenomena ; one is the much smaller displacement thant the exact one and theother is the undelation phenomenon is stress distribution. In this paper, we examine how unmatched coefficient in the constrained energy brings about the locking by Reduced Minimization theory. We perform the numerical ones. These comparisons show that uniformly full integration(UFI), which employs full integration for the constrained energy, entails the locking phenomenon. But the use of uniformly reduced integration(URI) of selectively reduced integration(SRI), which employs reduced integration for constrained energy, does not produce the significant errors of displacements of the undulation phenomenon in stress distribution since they do not entails the locking, Additionally, the error due to the approximated parameters for describing the geometry of skew beam is examined.d.

Keywords

Reduced Minimization Theory;Skew Beam Element;Locking Phenomenon;Spurious Constraint;Constrained Strain Energy