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CV
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Dr. Vladimir V. Chekhov
Personal data
Photo
Born: 1968/07/20, Donetsk (USSR, Ukraine)
Contact info
E-mail: v_chekhov@ukr.net
vul. Shpolyanskoi 1411, Simferopol, Crimea, 95034, Ukraine
Educational background
MSc in Applied Mathematics and Physics (1994, MIPT Moscow Institute of Physics and Technology)
PhD in Strength of Aircraft Structures (1998, MIPT)
(thesis
"Selection of Rational Parameters for Physically Nonlinear Aircraft Structures",
scientific adviser Dr. S.V. Selyugin)
PhD degree attested in Ukraine, in Design of Aircraft Structures (2003, Kharkiv Aviation Institute)
Professional experience
Teaching experience
Taught a series of courses in the areas of numerical methods, mathematical programming, some programming languages, AI basics, system simulation.
Grants
National scientific grant from Russian Academy of Sciences for gifted young scientists (2000).
Research area and principal publications
Optimal structural design
Journal Articles
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S.V.Selyugin, V.V.Chekhov.
Numerical analysis of rational parameters of physically non-linear structures (in Russian) // Troudy TsAGI, 1998, no 2632, pp. 8595.
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S.V.Selyugin, V.V.Chekhov.
Multimaterial design of physically nonlinear structures
// Structural and Multidisciplinary Optimization,
vol. 21 issue 3 (2001), pp. 209217
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M.P.Tepenitsin, M.N.Mouratovskaya, V.V.Chekhov.
Selection of rational parameters for load-bearing elements of structure of engine air channel (in Russian)
// Troudy TsAGI, 2001, no 2651, pp. 123126.
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V.V.Chekhov.
On optimality of physically nonlinear fully-stressed structures
// Mechanics of Solids ISSN 0025-6544, 2002, vol. 37, no 6, pp. 105113.
(source in Russian: Чехов В.В. Об оптимальности физически нелинейных полностью напряжённых конструкций
// Механика твердого тела, № 6, 2002, с. 123133)
Conference Proceedings
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S.V.Selyugin, V.V.Chekhov
Optimal physically nonlinear structures made of several materials
// Proceedings of WCSMO-3, Third World Congress of Structural and Multidisciplinary Optimization, May 1721, 1999, Buffalo, USA.
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V.V.Chekhov
Investigation of rational airframe structural parameters
// Proceedings of WCSMO-3, Third World Congress of Structural and Multidisciplinary Optimization, May 1721, 1999, Buffalo, USA.
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V.V.Chekhov
Optimality condition for physically nonlinear fully stressed designs and its use in rational design
// Proceedings of International conference of young scientists and engineers "Actual problems of aerospace science and tecknology",
Zhukovsky, Moscow, Russia,
May 2326, 2000, pp. 227228.
Programming of the Finite element method
Journal Articles
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V.V.Chekhov
Tensor-based matrices in geometrically non-linear FEM.
// International Journal for Numerical Methods in Engineering,
vol. 63 issue 15 (2005), pp. 20862101.
Large strain by FEM
Journal Articles
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V.V.Chekhov.
Matrix FEM equation describing the large-strain deformation of an incompressible material
// International Applied Mechanics vol. 46, number 10 (2010), pp. 11471153.
(source in Russian: Чехов В.В. Матричное уравнение метода конечных элементов для несжимаемого материала при больших деформациях
// Прикладная механика, Т. 46, № 10, 2010, с. 7177)
Conference Proceedings
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V.V.Chekhov
An equation of the Finite Element method for static analysis under large strains. // Proceedings of International Conference "Dynamical Systems Modelling and Stability Investigation",
May 2225, 2001, Kyiv, Ukraine, p. 340.
Prolog programming
Journal Articles
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N.A.Sokolov, V.V.Chekhov.
Usage of state space search for improvement of envelope of sparce matrix (in Russian). //
Zaporizhzhya National University Herald, 2006, no 1, pp. 116124.
Current research
Scientific
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Development of an experimental application for FEM structural analysis in C++ with the next features/subgoals:
- tensor-based matrix form of underlying FEM equations,
- accumulation of current calculation results in a database to enhance efficiency of tensor expressions,
- use of C++ template-based metaprogramming for enhancement of efficiency of FEM code,
- xml-based format of input/output files
(formerly with the assistance of N.Sokolov);
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Program implementation and investigation of the of a tensor-based FEM equation for large strains (formerly with the assistance of N.Sokolov).
Some results (dashed or crosses init.approx): the von Mises truss under no load (all 3 solutions),
an inversed cylinder: circular, square.
Educational
- visualizer of 3-bar truss optimization
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