Kulikov G.M., Mamontov A.A., Plotnikova S.V., Erofeev A.V.Laminated Composite Shell in Cylindrical Bending // Scientific article. Journal "Transactions of the TSTU", vol. 18 , Tambov. TSTU publisher house , 2012. (pdf-file) Abstract: This paper presents an efficient method of solving the plane strain
problem of elasticity for laminated composite cylindrical shells. The method is based on the new concept of sampling surfaces (SaS) proposed recently by the authors. According to this concept, we introduce inside the nth layer I n not equally spaced SaS parallel to the middle surface of the shell and choose displacements of these surfaces as shell unknowns. Such choice of displacements allows the derivation of strain-
displacement relationships, which exactly represent all rigid-body shell motions in any curvilinear surface coordinate system. The latter gives in turn the opportunity to find the solutions of plane strain elasticity for thick and thin laminated cylindrical shells with a prescribed accuracy by using a sufficiently large number of SaS, which are located at layer interfaces and Chebyshev polynomial nodes.
Kulikov G.M., Plotnikova S.V.Cylindrical Bending of Angle-Ply Composite Plates // Scientific article. Journal "Transactions of the TSTU", vol. 18 , Tambov. TSTU publisher house , 2012. (pdf-file) Abstract: This paper presents an efficient method of solving the plane strain
problem of elasticity for laminated composite plates. The method is based on the new concept of sampling surfaces developed recently by the authors. According to this concept, we introduce inside the nth layer In not equally spaced SaS parallel to the middle surface of the plate and choose displacements of these surfaces as plate unknowns. This fact gives an opportunity to derive the solutions of plane strain elasticity for thick and thin laminated composite plates with a prescribed accuracy by using a sufficiently large number of SaS, which are located at layer interfaces and Chebyshev polynomial nodes.
Rubanov N.A., Semerginsky S.G.Construction of Solutions of One Class Autonomous Systems of Ordinary Differential Equations∗ // Scientific article. Journal "Transactions of the TSTU", vol. 18 , Tambov. TSTU publisher house , 2012. (pdf-file) Abstract: Based on the method of successive approximations of Picard there
constructed a solution of autonomous systems of ordinary differential equations which right-hand side is a multivariate polynomial. There given the results of numerical experiment that may allow a new look at the well-known hypothesis about the structure of the attractor of the Lorenz system.
