Dual Approach to Solving the Problems of Structural Optimization

Structural optimization problems are normally formulated and solved in terms of mathematical programming. Unknown parameters of structure must satisfy the constraints of the problem and provide extreme value of objective function (for instance minimum weight or maximum load-bearing capacity of considering structure). It is known that in some cases the optimal systems have special properties. Knowledge of these properties allows investigator to develop methods for solving optimization problems and methods for creating systems with prescribed properties.