Abstract
Mathematical problems of optimal structural design — as of most optimization problems — consist of four basic elements: design objective, control variables or decisive variables called here design variables, constraints, and equations of state. We look for upper or lower bound (maximum or minimum) of the design objective specified as a function or functional of design variables, functions or vectors (sets of functions or of parameters) under certain constraints. These constraints are usually expressed in terms of some other variables, called state variables or behavioural variables; they may also appear in the objective function and are interrelated and related to design variables by the equations of state.
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Gajewski, A., Zyczkowski, M. (1988). Problems of Optimal Structural Design. In: Optimal Structural Design under Stability Constraints. Mechanics of Elastic Stability, vol 13. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2754-4_2
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DOI: https://doi.org/10.1007/978-94-009-2754-4_2
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