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Mathematics and design of mechanical structures. (Mathematik und Entwurf mechanischer Strukturen.) (German) Zbl 0874.73051
A review of optimization methods for optimal design of truss structures is presented. The problem is formulated as geometric-topologic minimization of compliance. Two approaches are discussed: main structure optimization, and two-stage optimization. Illustrative examples are presented, and possibility of applications of the described approaches to continuous structures is briefly discussed.
MSC:
74P99 Optimization problems in solid mechanics
74S30 Other numerical methods in solid mechanics (MSC2010)
74P10 Optimization of other properties in solid mechanics
90C90 Applications of mathematical programming
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