DESIGN OF PLATES WITH GIVEN RIGIDITIES FROM A MINIMUM NUMBER 
OF LAYERS AND MATERIALS

A. A. Kolpakov

UDC 621:622

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).

Novosibirsk State University, 2 Pirogov Str., Novosibirsk, 630090, 
Russia; email: nscmail@ngs.ru. Translated from Inzhenerno-Fizicheskii 
Zhurnal, Vol. 79, No. 5, pp. 165-174, September-October, 2006. 
Original article submitted December 3, 2004; revision submitted 
January 18, 2006.