Fairness metrics for shape optimization of ribbed shells

Journal of the International Association for Shell and Spatial Structures

Volumn 41, Issue 132, 2000, Pages 31-39

  Ohsaki, Makoto ^a   Hayashi, Masanori ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

ARCHITECTURAL DESIGN; BOUNDARY CONDITIONS; CONSTRAINT THEORY; MATHEMATICAL PROGRAMMING; MATHEMATICAL TRANSFORMATIONS; MODEL STRUCTURES; OPTIMIZATION; SPATIAL VARIABLES CONTROL; STRUCTURAL DESIGN;

BEZEIR CURVE; MULTIOBJECTIVE PROGRAMMING; PERSPECTIVE TRANSFORMATION; RIBBED SHELLS; ROUNDNESS; SHAPE OPTIMIZATION;

SHELLS (STRUCTURES);

EID: 0034171665     PISSN: 03043622     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (13)

1. E. Ramm, Shape finding methods of shells, Bulletin of Int. Assoc. for Shell and Spatial Struct., 33, 89-98, 1992.
2. Z. Sobotka, Optimization of shells for the membrane state, ACTA Technica CSAV, 6, 745-773, 1989.
3. M. Hinata, M. Shimasaki and T. Kiyooo, Numerical solution of Plateau's problem by a finite element method, Math. Comp., 28, 45-60, 1974.
4. J. Roulier and T. Rando, Measures of fairness for curves and surfaces, Designing Fair Curves and Surfaces, N.S. Spadis (Ed.), SIAM, 75-122, 1994.
5. T. Rando and J. A. Roulier, Designing faired parametric surfaces, Comput. Aided Des., 23 492-497, 1991.
6. H. Nowacki and D. Reese, Design and fairing of ship surfaces, in: Surfaces in CAGD, R.E. Barnhill and W. Bohem, (Eds,), North-Holland, 121-134, 1983.
7. H. P. Moreton and C. H. Séquin, Functional optimization for fair surface design, in: Computer Graphics, Proc. SIGGRAPH '92, 26, 167-176 1992.
8. W. Welch and A. Witkin, Free-form shape design using triangulated surfaces, in: Computer Grapics, Proc. SIGGRAPH '94, 247-256, 1994.
9. M. Ohsaki and K. Uetani, Shape-stress trade-off design of membrane structures for specified sequence of boundary shapes, Comp. Meth. Appl. Mech. Engng., in press, 1999.
10. M. Ohsaki, T. Nakamura and M. Kohiyama, Shape optimization of a double-layer space truss described by a parametric surface, Int. J. Space Structures, 12, 109-119, 1997.
11. M. Ohsaki, T. Nakamura and Y. Isshiki, Shape-size optimization of plane trusses with designer's preference, J. Struct. Engng., ASCE, 124, 1323-1330, 1998.
12. G. Farin, Curves and Surfaces for Computer Aided Geometric Design, 3rd ed., Academic Press, 1992.
13. J. L. Cohon, Multiobjective Programming and Planning, Mathematics in Science and Engineering, 140, Academic Press, 1978.