We consider the three-dimensional stress-strain state of the final laminated
cylinder. Three-dimensional homogeneous solutions are constructed for layers of the cylinder
with unloaded ends. Solution of boundary value problems is reduced to minimize the
generalized quadratic form. The numerical convergence criterion method was established.
Stress states of the cylinder under the influence of local efforts, distributed according to
different laws: linear, quadratic, trapezoidal are studied. New regularities of distribution of the
stress-strained state in structure elements are discussed.
Keywords: multilayer cylindrical body; three-dimensional stress-strain state; boundary value problems.
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