Frolov S.V., Sindeev S.V., Lischouk V.A., Gazizova D.Sh., Liepsch D., Balasso A.Development of Multiscale Hemodynamics Model for Research of Basilar Artery Circulation // Journal "Problems of Contemporary Science and Practice" Vernadsky University , Tambov. TSTU publisher house , 2013. (pdf-file) Abstract: One of the major diseases of cerebral circulation is an aneurysm of the basilar artery. Particular interests for medical practices are prediction methods of emergence and development of the aneurysm. One of the most promising methods used in medicine, is mathematical modeling. The paper presents the concept of developing a multiscale hemodynamic mathematical model of the cardiovascular system, including a model of global hemodynamics, arterial tree model and the model of basilar artery bifurcation. This model allows calculating the hemodynamic parameters at the bifurcation of the basilar artery. Using mathematical modeling results we can conclude the probability of a basilar artery aneurysm.
Kulikov G.M., Erofeev A.V.Exact Solution for Functionally Graded Piezoelectric Cylindrical Shells // Scientific article. Journal "Transactions of the TSTU", vol. 19 , Tambov. TSTU publisher house , 2013. (pdf-file) Abstract: This paper presents a sampling surfaces method applied to functionally
graded piezoelectric cylindrical shells. It is shown that the sampling surfaces method can be utilized efficiently to derivation of 3D exact solutions for functionally graded piezoelectric cylindrical shells with a specified accuracy by using the sufficiently large number of sampling surfaces located at Chebyshev polynomial nodes.
Kulikov G.M., Mamontov A.A.Three-Dimensional Thermoelastic Analysis of Laminated Anisotropic Plates // Scientific article. Journal "Transactions of the TSTU", vol. 19 , Tambov. TSTU publisher house , 2013. (pdf-file) Abstract: This paper presents the sampling surfaces (SaS) method applied to the three-dimensional (3D) analysis of steady-state problems of thermoelasticity for laminated anisotropic plates subjected to thermal loading. It is shown that the SaS method can be utilized efficiently for finding the 3D solutions for thermoelastic angle- ply composite plates in cylindrical bending with a specified accuracy by using the sufficient number of SaS located at Chebyshev polynomial nodes.
Kulikov G.M., Nakhman A.D.Modeling of Processes of Mechanical Vibrations in a Course of Mathematics // Journal "Problems of Contemporary Science and Practice" Vernadsky University , Tambov. TSTU publisher house , 2013. (pdf-file) Abstract: In the context of competence approach, technological ways of teaching mathematical modeling in engineering high schools are offered; these include an algorithm for construction, research, and interpretation of mathematical models and their application to problems of mechanical vibrations.
