Sparse matrix algorithm for minimum weight design of large structures

Engineering Optimization

Volumn 27, Issue 1, 1996, Pages 65-85

  Sarma, Kamal C ^a   Adeli, Hojjat ^a  

^a The Ohio State University   (United States)

Author keywords

Cholesky decomposition; Minimum weight design; Optimality criteria; Optimization; Sparse matrix; Structures

Indexed keywords

CONSTRAINT THEORY; DATA STRUCTURES; OPTIMIZATION; STIFFNESS MATRIX; STRESSES; STRUCTURAL DESIGN;

CHOLESKY DECOMPOSITION; MINIMUM WEIGHT DESIGN; OPTIMALITY CRITERIA METHOD; SPACE STRUCTURE; SPARSE MATRIX ALGORITHM;

ALGORITHMS;

EID: 0030357461     PISSN: 0305215X     EISSN: None     Source Type: Journal    
DOI: 10.1080/03052159608941400     Document Type: Article

References (8)

1. Bathe, K. J. (1982). Finite Element Procedures in Engineering Analysis, Prentice-Hall Inc, Englewood Cliffs, N. J.
2. Duff, I. S., Erisman, A. M. and Reid, J. K. (1986). Direct Methods for Sparse Matrices, Oxford University Press, London.
3. Golub, G. H. and Van Loan, C. F. (1989). Matrix Computations, Johns Hopkins Press, Baltimore, Md.
4. Khot, N. S., Berke, L. and Venkayya, V. B. (1978). Comparison of optimality criteria algorithms for minimum weight design of structures. AIAA Journal, 17(2), 182-190.
5. Khan, M. R., Willmert, K. D. and Thornton, W. A. (1979). An optimality criterion method for large-scale structures. AIAA Journal, 17 (7), 753-761.
6. Adeli, H. and Kamal, O. (1992). Concurrent optimization of large structures: Part I-Algorithms, Journal of Aerospace Engineering, ASCE, 5 (1), 79-90.
7. Adeli, H. and Kamal, O. (1993). Parallel Processing in Structural Engineering, Elsevier Applied Science, London.
8. Adeli, H. and Kamal, O. (1992). Concurrent optimization of large structures: Part II-Applications, Journal of Aerospace Engineering, ASCE, 5 (1), 91-110.