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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2012.1
- 수록면
- 559 - 568 (10page)
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초록· 키워드
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A level set based topological shape optimization method for nonlinear structure considering hyper-elastic problems is developed. To relieve significant convergence difficulty in topology optimization of nonlinear structure due to inaccurate tangent stiffness which comes from material penalization of whole domain, explicit boundary for exact tangent stiffness is used by taking advantage of level set function for arbitrary boundary shape. For given arbitrary boundary which is represented by level set function, a Delaunay triangulation scheme is used for current structure discretization instead of using implicit fixed grid. The required velocity field in the actual domain to update the level set equation is determined from the descent direction of Lagrangian derived from optimality conditions. The velocity field outside the actual domain is determined through a velocity extension scheme based on the method suggested by Adalsteinsson and Sethian(1999). The topological derivatives are incorporated into the level set based framework to enable to create holes whenever and wherever necessary during the optimization.
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참고문헌 (15)
참고문헌 신청
Adalsteinsson, D. / 1999 / The Fast Construction of Extension Velocities in Level Set Methods / Journal of Computational Physics 148 : 2 ~ 22
Allaire, G. / 2004 / Structural Optimization using Sensitivity Analysis and a Level-Set Method / Journal of Computational Physics 194 : 363 ~ 393
Bendsoe, M.P / 1988 / Generating Optimal Topologies in Structural Design using a Homogenization Method / Computer Methods in Applied Mechanics and Engineering 71 : 197 ~ 224
Bendsoe, M.P / 2003 / Topology Optimization: Theory, Methods and Applications / Springer-Verlag : 370 ~
Buhl, T. / 2000 / Stiffness Design of Geometrically Nonlinear Structures using Topology Optimization / Structural Multidisciplinary Optimization 19 : 93 ~ 104
Allaire, G. / 2004 / Structural Optimization using Sensitivity Analysis and a Level-Set Method / Journal of Computational Physics 194 : 363 ~ 393
Bendsoe, M.P / 1988 / Generating Optimal Topologies in Structural Design using a Homogenization Method / Computer Methods in Applied Mechanics and Engineering 71 : 197 ~ 224
Bendsoe, M.P / 2003 / Topology Optimization: Theory, Methods and Applications / Springer-Verlag : 370 ~
Buhl, T. / 2000 / Stiffness Design of Geometrically Nonlinear Structures using Topology Optimization / Structural Multidisciplinary Optimization 19 : 93 ~ 104
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