Applications of linear programming in structural layout and optimization

摘要: Abstract Various computer methods have been developed for the optimal design of indeterminate structures, but it is not possible to guarantee that result any method will be a global optimum, rather than merely local optimum. By temporarily neglecting conditions elastic compatibility and formulating mathematical optimization problem based on equilibrium stress constraints, obtain an approximate which avoids optima. In cases examined, this close exact optimum obtained by enforcing therefore good starting point optimizing procedure. Examples include graphical solution simple grillage known multiple optima, sequence planar trusses under alternate loading conditions. Linear programming used find minimum weight truss designs satisfying equilibrium; eliminates extraneous members leads better configurations does stress-ratio type algorithm.