Statistical Behavior of RC Cooling Tower Shell due to Shape Imperfection

철근콘크리트 냉각탑의 형상불완전에 의한 확률론적 거동

  • 최창근 (한국과학기술원 토목공학과) ;
  • 노혁천 (한국과학기술원 토목공학과)
  • Published : 2000.03.01

Abstract

For the large scale reinforced concrete cooling tower shells, the shape imperfection can be introduced due not only to mistakes in the process of construction but also to the long term behavior of concrete. The shape imperfection evokes the additional responses such as displacements and stresses in addition to the design values. In this study, the statistical behavior of the RC cooling tower shell due to the shape imperfection is investigated using the Monte Carlo simulation. The radius of cooling tower and the shell thickness are adopted as the parameters which cause the shape imperfection. The shape imperfection is modeled as a stochastic field rather than the local one of axisymmetric or bulge type of imperfection. The randomness in the radius is shown to be more affecting the structural responses than the randomness in the shell thickness. In addition to the geometrical randomness, the effect of randomness in the modulus of elasticity on the structural response is also investigated and compared with that of the geometrical ones.

철근콘크리트 냉각탑은 대형의 구조물로서 건설과정중의 오류와 콘크리트의 장기 거동에 의하여 기하학적 형상이 설계에서 목적하는 형상에서 벗어난 형상불완전을 가질 수 있다. 형상불완전의 구조거동에의 영향은 완전쉘에 나타나는 응력 이외에 추가적인 응력의 발생을 들 수 있다. 본 논문에서는 몬테카를로 방법을 사용하여 냉각탑 쉘의 형상불완전에 의한 확률론적 거동에 대하여 고찰하였다. 냉각탑에 형상불완전을 유발하는 기하인수로는 냉각탑의 반지름과 쉘의 두께를 택하였다. 이들 기하인수는 기존에 사용되던 모델인 축대칭 모델과 볼록형상의 모델과는 달리 특정 통계특성치를 가지는 추계장으로 가정하였다. 해석 결과는 냉각탑의 반지름에 나타나는 불확실성은 쉘의 두께에서의 불확실성보다 구조거동의 반응변화도에 매우 큰 영향을 미친다는 사실을 보여주었다. 기하학적 인수의 불확실성에 더하여 재료탄성계수의 공간적 불확실성에 의한 구조 반응변화도를 고찰하여 비교하였다.

Keywords

References

  1. Proceedings of the ASCE v.105 no.ST6 Meridional imperfection in cooling tower design Al-Dabbagh,A.;Gupta,A.K.
  2. J. Struct. Engng. v.118 no.8 Tolerance limits for geometric imperfections in hyperbolic cooling towers Alexandridis,A.;Gardner,N.J.
  3. Proc.,$3^{rd}$Asian-Pacific Conference on Computational Mechanics (APCOM'96) v.2 Nonlinear analysis of cooling tower shells with cyclic shape imperfections Choi,C.K.;Noh,H.C.
  4. Structural Engineering and Mechanics v.4 no.6 Stochastic finite element analysis of plate structures by weighted integral method Choi,C.K.;Noh,H.C.
  5. 1998 SEWC (Structural Engineers World Congress) The Stochastic analysis of the Shape Imperfection of Cooling Tower Shells Choi,C,K.;Noh,H.C.
  6. Thinwalled structures v.24 no.3 An effective four node degenerated shell elements for geometrically nonlinear analysis Choi,C.K.;Paik,J.G.
  7. Computational stochastic mechanics Analysis of two-dimensional stochastic systems by the weighted integral method Deodatis,G.;Wall,W.;Shinozuka,M.;Spanos,P.D.;Brebbia,C.A.(eds.)
  8. J. Struct. Engng. v.120 no.5 Cause of deformed shapes in cooling towers Jullien,J.F.;Aflak,W.;L'Huby,Y.
  9. The structural Engineer v.54 no.1 The role of geometric imperfections in the collapse of a cooling tower Kemp,K.O.;Croll,J.G.A.
  10. International Journal for Numerical Methods in Engineering v.24 Basis random variables in finite element analysis Lawrence,M.A.
  11. Computer methods in applied mechanics and engineering v.56 Probabilistic finite elements for nonlinear structural dynamics Liu,K.;Belytschiko,T.;Mani,A.
  12. Civil engineering studies structural research series no.514 Nonlinear behavior of reinforced concrete cooling towers Milford,R.V.;Schnobrich,W.C.
  13. Thin-Walled Structures v.23 no.1-4 Buckling analysis of a cooling tower shell with measured and theoretically-modelled imperfections Radwanska,M.;Waszczyszyn,Z.
  14. J. Engng. Mech. v.116 no.2 Simulation of stochastic fields by statistical preconditioning Yamazaki,F.;Shinozuka,M.
  15. J. Engng. Mech. v.114 no.8 Neumann expansion for stochastic finite element analysis Yamazaki,F.;Shinozuka,M.;Dasgupta,G.
  16. J. Engng. Mech. v.120 no.9 Variability response functions of stochastic plane stress/strain problems Wall,F.J.;Deodatis,G.
  17. reported by ACI-ASCE Committee 334 Reinforced Concrete Cooling Tower Shells Practice and Commentary ACI 334