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Formation of the most optimal supporting construction in a two-dimensional state of load

Fligiel M.

International Journal of Applied Mechanics and Engineering

2012

Vol. 17, no. 3

799-810

In the present study, the most optimal supporting construction is sought. The notion of the most optimal support structure is defined. Two criteria are considered of an optimal formation of the most optimal support structure. The first criterion, i.e., the greatest rigidity of the structure, is fulfilled when the value of the unit potential strain energy over the entire volume of the structure is the same. The second criterion is known as the duration of the acting of forces of the supporting construction. The duration of the acting of forces is understood as the passage of internal forces along as short internal paths as possible. The seeking process of the most optimal supporting construction takes place in an iterative manner with a division of the structural space into finite elements. Seeking of the structural space is illustrated by two examples with the same mounting and stress conditions.