Abstract

The problem of designing a plate with a given set of rigidities using a minimum number of layers, which, as it has been established, is equal to four, has been considered. We consider the cases where flexural rigidities, rigidities in the plate plane, and asymmetric rigidities and where only longitudinal and flexural rigidities, which are the physical characteristics of the plane, are given. It has been proved that in both cases the ranges of longitudinal and flexural rigidities are equal (thus the question of the role of asymmetric rigidities is solved).

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