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위상학적 최적구조 모델링을 위한 민감도해석의 공식화

Formulations of Sensitivity Analyses for Topological Optimum Modelings

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참고문헌

키워드

주제분류안전공학

초록

The objective of sensitivity analyses is to identify critical variables of structural models and how their variability impacts mechanical response results. The sensitivity analyses have been used as significant basis data for practical applications of measuring and reinforcing fragile building structures. This study presents several sensitivity analysis methods for topological optimum designs of linear elastostatic structural systems. Numerical examples for structural analyses and topological optimum modeling demonstrate the reliability of sensitivities formulated in the present study.

Abstract

The objective of sensitivity analyses is to identify critical variables of structural models and how their variability impacts mechanical response results. The sensitivity analyses have been used as significant basis data for practical applications of measuring and reinforcing fragile building structures. This study presents several sensitivity analysis methods for topological optimum designs of linear elastostatic structural systems. Numerical examples for structural analyses and topological optimum modeling demonstrate the reliability of sensitivities formulated in the present study.

참고문헌 (8)

  1. Haug, E.J., "Design Sensitivity Analysis of Structural Systems" (1986), Academic Press
  2. Adelman, H.M., "Sensitivity Analysis of Discrete Structural Systems", AIAA Journal, 24(5), pp.823~832 (1986)
  3. Ha, Y.D., "Design Sensitivity Analysis and Topology Optimization Method applied to stiffener layout in hull structures", Journal of Ship Research, 50(3), pp.222~230 (2006)
  4. Wang, S., "Topology Optimization of Nonlinear Magnetostatics", IEEE Transactions on Magnetics, 38(2), pp.1029~1032 (2002)
  5. Bendsøe, M.P., "Generating Optimal Topologies in Optimal Design using a Homogenization Method", Computer Methods in Applied Mechanics and Engineering, 71, pp.197~224 (1988)
  6. Bendsøe, M.P., "Optimal Shape Design as a Material Distribution Problem", Structural Optimization, 1, pp.193~202 (1989)
  7. Mlejnek, H.P., "Some Aspects of the Genesis of Structures", Structural Optimization, 5, pp.64~69 (1992)
  8. Yang, R., "Optimal Topology Design using Linear Programming", Computers and Structures, 52, pp.265~275 (1994)

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