Optimal Joint Positions for Space Trusses

by Pauli Pedersen, Lektor, Lic. Techn.; Dept. of Solid Mech., Tech. Univ. of Denmark, Lyngby, Denmark,

Serial Information: Journal of the Structural Division, 1973, Vol. 99, Issue 12, Pg. 2459-2476

Document Type: Journal Paper


An iterative procedure for determining the joint positions corresponding to a minimum mass space truss is presented. Displacement constraints and nonconstant stress constraints (stability) are taken into account. The truss is presumed to carry consecutively a large number of different systems of forces. The iteration includes a sequence of linear programming problems (SLP, with move-limits), and for each of these problems only the nearby constraints are considered. Analytical expressions are given for the gradients describing the linear problems. A dome is optimized using different constraints.

Subject Headings: Joints | Space truss | Linear analysis | Displacement (mechanics) | Linear functions | Computer programming | Domes (structure)

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