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Minimum weight design of truss structures with geometric nonlinear behavior. (English) Zbl 0555.73087
The paper presents an optimization method based on an optimality criterion for minimum weight design of structures with geometric nonlinear behavior. The nonlinear critical load is determined by finding the load level at which the Hessian of the potential energy cases to be positive definite. A recurrence relation based on the criterion that at optimum the nonlinear strain energy density be equal in all the members is used to develop an algorithm. Sample problems are given to illustrate the application of the method to truss type structures with a large number of design variables.

74P99 Optimization problems in solid mechanics
70Q05 Control of mechanical systems
74B20 Nonlinear elasticity
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