GENERAL SOLUTION OF BENDING OF MULTILAYER BEAMS IN FOURIER SERIES

Abstract

The article deals with the solution of the problem of bending of a hinged multilayer beam under the normal uniformly distributed load and induced axial forces. The interaction between layers is accomplished by the contact layer in which the substances of adhesive and substrate are mixed. We will consider the contact layer as the transversal anisotropic medium with such parameters that it can be represented as a set of short elastic rods, which are not connected to each other. The solution is obtained in the form of decomposition into Fourier series of sines. There is an example of the calculation of a three-layer beam. The convergence of the obtained solution is analyzed according to the number of accounted members of the decomposition

Keywords

• композит
• многослойная балка
• изгиб
• ряды Фурье
• краевой эффект
• метод контактного слоя
• разрешающие уравнения