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http://dx.doi.org/10.3795/KSME-A.2003.27.2.262

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

Dan, Ho-Jin (한국과학기술원 기계공학과)
Lee, Byung-Chai (한국과학기술원 기계공학과)
Publication Information
Transactions of the Korean Society of Mechanical Engineers A / v.27, no.2, 2003 , pp. 262-267 More about this Journal
Abstract
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.
Keywords
Reanalysis; Semi-analytic Sensitivity; Residual Correction Method; Geometric Series Expansion;
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