Abstract
AbstractThis work is devoted to the study of the application of two analytical solutions of the cylindrical bending of orthotropic plates for the analysis of layered structures. The first one is the famous Pagano’s solution and the second one is a solution obtaned by a method of initial functions (MIF). It is shown that when applying the Pagano solution, the resolving system of linear algebraic equations depends on the number of layers in the structure. When using the MIF solution, the resolving linear system always has a second order. It is noted that this fact is associated with arbitrary constants in the two solutions obtained: in the Pagano solution, they have no mechanical meaning, and in the MIF solution they represent displacements and stresses on the initial line. The results of calculations of multilayer composites and the time of their execution for two investigated solutions are presented.
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