Optimal design of multi-stage structures: a basis factorization approach. [Planar trusses]
The problem of designing multi-stage planar trusses for minimal weight over a class of feasible member sizes and configurations has been formulated as a linear program with a staircase matrix. Such a matrix has nonzero coefficients only in diagonal and subdiagonal blocks. A special variant of the revised simplex method which exploits this feature for computational and data handling efficiency is developed and implemented. The technique is based on a block LU factorization of the basis matrix. Computational experience with the structural design problem is presented.
- Research Organization:
- Brookhaven National Lab. (BNL), Upton, NY (United States)
- DOE Contract Number:
- EY-76-C-02-0016
- OSTI ID:
- 7094631
- Report Number(s):
- BNL-22908
- Country of Publication:
- United States
- Language:
- English
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