A Note on the Proper Size of a Finite Element for Analysis of Harbor Resonance Problems

항만부진동 해석을 위한 적정 유한요소 크기에 대한 소고

  • 정원무 (한국해양연구원 연안·항만공학연구본부) ;
  • 박우선 (한국해양연구원 연안·항만공학연구본부)
  • Published : 2002.03.01

Abstract

In this study, numerical experiments were performed to decide the proper size off finite element for the analysis of harbor resonance problems. Various sizes of finite elements were considered from 1/3 to 1/60 of wavelength to model a fully opened rectangular harbor. Through the numerical results, the proper number of finite elements per wavelength were revealed to be nine within two percents errors allowed in resonant period and amplification ratio, while twelve within one percent error. It was fecund that error rates of resonant periods decrease linearly, while those of amplification ratio decrease with oscillating form as the size of an element decreases. The error of amplification ratio increases more rapidly than that of resonant period in case of element numbers below nine.

항만부진등 해석에 사용되는 유한요소의 적정 크기를 검토하기 위해 완전개방 직사각형 항만에 대해서 다양한 크기의 요소를 사용한 수치실험을 실시하였다. 수치실험 결과, 공진주기와 증폭비의 허용 오차율을 모두 2%로 하는 경우 파장당 9개, 1%로 하는 경우 12개의 요소가 필요한 것으로 나타났다. 또한, 요소 수의 증가에 따라 공진주기의 오차율은 선형적으로, 증폭비의 오차는 진동하면서 감소하였으며, 요소 수를 9개보다 적게 하는 경우 증폭비의 오차가 상대적으로 크게 증가하였다

Keywords

References

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