H-refined Shape Design Sensitivity Analysis of Elastic Structures using Multi-Resolution Approach
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One of the major disadvantages of isogeometric analysis(IGA) is that local refinement is nearly impossible in a conventional manner because of the tensor product nature in NURBS. In this research, we investigate a local refinement scheme for isogeometric analysis, named multi-resolution approach where different resolutions are employed at each subdomain, using h-refinement relation to endow displacement compatibility on an interface of subdomains. Then, we develop shape sensitivity analysis possessing same compatibility condition as in the analysis. Numerical examples are shown to demonstrate the computational efficiency of the method in analysis especially stress concentration problem and accurate sensitivity results which is also compatible on the interface.
Abstract
One of the major disadvantages of isogeometric analysis(IGA) is that local refinement is nearly impossible in a conventional manner because of the tensor product nature in NURBS. In this research, we investigate a local refinement scheme for isogeometric analysis, named multi-resolution approach where different resolutions are employed at each subdomain, using h-refinement relation to endow displacement compatibility on an interface of subdomains. Then, we develop shape sensitivity analysis possessing same compatibility condition as in the analysis. Numerical examples are shown to demonstrate the computational efficiency of the method in analysis especially stress concentration problem and accurate sensitivity results which is also compatible on the interface.
참고문헌 (5)
- Cottrell, J., "Studies of Refinement and Continuity in Isogeometric Structural Analysis", Comput. Meth. Appl. Mech. Eng., 196, pp.4160~4183 (2007)[DOI]
- Cho, S., "Isogeometric Shape Design Optimization: Exact Geometry and Enhanced Sensitivity", Struct. Multidisc Optim., 38, pp.53~70 (2009)[DOI]
- 하윤도, "다중 패치 쉘 아이소 지오메트릭 해석의 계면 연속성 검토", 한국전산구조공학회논문집, 31(2), pp.71~78 (2018), 한국전산구조공학회[DOI]
- Hughes, T., "Isogeometric Analysis: CAD, Finite Elements, Exact Geometry and Mesh Refinement", Comput. Meth. Appl. Mech. Eng., 194, pp.4135~4195 (2005)[DOI]
- Vuong, A.V., "A Hierarchical Approach to Adaptive Local Refinement in Isogeometric Analysis", Comput. Meth. Appl. Mech. Eng., 200, pp.3554~3567 (2011)[DOI]