Error Estimation for the Semi-Analytic Design Sensitivity Using the Geometric Series Expansion Method

기하급수 전개법을 이용한 준해석 민감도의 오차 분석

  • 단호진 (한국과학기술원 기계공학과) ;
  • 이병채 (한국과학기술원 기계공학과)
  • Published : 2003.02.01


Error of the geometric series expansion method for the structural sensitivity analysis is estimated. Although the semi-analytic method has several advantages, accuracy of the method prevents it from practical application. One of the promising remedies is the use of geometric series formula for the matrix inversion. Its result of the sensitivity analysis converges that of the global difference method which is known as reliable one. To reduce computational efforts and to obtain reliable results, it is important to know how many terms need to expand. In this paper, the error formula is presented and Its usefulness is illustrated through numerical experiments.


Reanalysis;Semi-analytic Sensitivity;Residual Correction Method;Geometric Series Expansion


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