Optimal design of multi-stage structures [electronic resource] : a basis factorization approach. [Planar trusses].
Published
Upton, N.Y. : Brookhaven National Laboratory, 1977. Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy.
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.