Transactions of the Korean Society of Mechanical Engineers A (대한기계학회논문집A)
- Volume 21 Issue 6
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- Pages.933-941
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- 1997
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- 1226-4873(pISSN)
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- 2288-5226(eISSN)
DOI QR Code
A Study of Hierarchical Models for the Optimal Analysis of Thin Elastic Structures
박판 탄성구조물의 최적해석을 위한 계층적 모델에 관한 연구
- Jo, Jin-Rae (Dept.of Mechanical Engineering, Busan National University)
- 조진래 (부산대학교 기계공학부)
- Published : 1997.06.01
Abstract
In the analysis of thin elastic structures such as plate and shell-like structures, classical lower-order theories like Kirchhoff and Reissner-Mindin theories are insufficient to describe the behavior of such structures in the region where the state of stresses is complex. On the other hand, the fully three dimensional theory of linear elasticity can provide desired analysis accuracy, but requires expensive computational implementation compared to the classical theories. This paper is concerned with the development of hierarchical models for elastic structures which can be used for hierarchical modeling for the analysis of such structures. Derivation and limit model analysis (when the thickness of structures tends to zero) of hierarchical models are presented together with a introduction of modeling error estimation. Also, numerical results supporting theoretical results are given.
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