Transactions of the Korean Society of Mechanical Engineers A (대한기계학회논문집A)

The Korean Society of Mechanical Engineers (대한기계학회)
권호 표지
DOI QR코드

DOI QR Code

A Refined Semi-Analytic Sensitivity Study Based on the Mode Decomposition and Neumann Series Expansion in Eigenvalue Problem(II) - Eigenvalue Problem -

강체모드분리와 급수전개를 통한 고유치 문제에서의 준해석적 설계 민감도 개선에 관한 연구(II) -동적 문제 -

  • 김현기 (서울대학교 기계항공공학부) ;
  • 조맹효 (서울대학교 기계항공공학부)
  • Published : 2003.04.01
Download PDF
⟨ Previous Next ⟩

Abstract

Structural optimization often requires the evaluation of design sensitivities. The Semi Analytic Method(SAM) fur computing sensitivity is popular in shape optimization because this method has several advantages. But when relatively large rigid body motions are identified for individual elements. the SAM shows severe inaccuracy. In this study, the improvement of design sensitivities corresponding to the rigid body mode is evaluated by exact differentiation of the rigid body modes. Moreover. the error of the SAM caused by numerical difference scheme is alleviated by using a series approximation for the sensitivity derivatives and considering the higher order terms. Finally the present study shows that the refined SAM including the iterative method improves the results of sensitivity analysis in dynamic problems.

Keywords

References

  1. Parente, E., Jr. and. Vaz, L.E., 2001, 'Improvement of Semi- Analytical Design Sensitivities of Nonlinear Structures Using Equilbrium Relation,' Int.J.Numer. Mech.Engng., Vol. 50, pp. 127-2142 https://doi.org/10.1002/nme.115
  2. Van Keulen F. and De. Boer, H., 1998, 'Rigorous Improvement of Semi-Analytical Design Sensitivities by Exact Differentiation of Rigid Body Motions,' Int.J.Numer. Mech. Engng., Vol. 42, pp. 71-91 https://doi.org/10.1002/(SICI)1097-0207(19980515)42:1<71::AID-NME350>3.0.CO;2-C
  3. Suha Oral, 2000, 'A Mindlin Plate Finite Element with Semi-Analytical Shape Design Sensitivities,' Computers and Structures, Vol. 78, pp. 467-472 https://doi.org/10.1016/S0045-7949(00)00068-7
  4. Kim, H. and Cho, M., 2001, 'A Study on the Improvement of Shape Desing Sensitivity in Eigenvalue Problems Using Semi-Analytical Method,' Proc.COSEIK Symposium-Fall, pp. 159-165
  5. Aminpour, M.A., 1992, 'An Assumed Stress Hybrid 4 Node Shell Element with Drilling Degrees of Freedom,' Int.J.Numer.Mech.Engng.,Vol. 33, pp. 19-38 https://doi.org/10.1002/nme.1620330103
  6. Kim, H., 2002, 'A Study of Refined Semi-Analytic Sensitivity Based on the Finite Element,' M.S.Thesis, Seoul National University
  7. Barthelemy, Chon, T. and Raphael, Haftka, T., 1988, 'Accuracy Problems Associated with Semi-Analytical Derivatives of Static Response,' Finite elements in analysis and design., Vol. 4, pp. 249-265 https://doi.org/10.1016/0168-874X(88)90011-X
  8. De Boer, H. and Van Keulen, F., 2002, 'Refined Semi-Analytical Design Sensitivities,' Int.J.Solids Struct., Vol. 37, pp. 6961-6980 https://doi.org/10.1016/S0020-7683(99)00322-4