A fast method for binary programming using first-order derivatives, with application to topology optimization with buckling constraints

Reference:

Browne, P. A., Budd, C., Gould, N. I. M., Kim, H. A. and Scott, J. A., 2012. A fast method for binary programming using first-order derivatives, with application to topology optimization with buckling constraints. International Journal for Numerical Methods in Engineering, 92 (12), pp. 1026-1043.

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Official URL:

http://dx.doi.org/10.1002/nme.4367

Abstract

We present a method for finding solutions of large-scale binary programming problems where the calculation of derivatives is very expensive. We then apply this method to a topology optimization problem of weight minimization subject to compliance and buckling constraints. We derive an analytic expression for the derivative of the stress stiffness matrix with respect to the density of an element in the finite-element setting. Results are presented for a number of two-dimensional test problems

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