Curriculum Vitae
Yuri Vladimirovich MIKHLIN, Professor
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Postal address: Prof.Yu.V.Mikhlin
Dept.of Applied Mathematics, National Technical University “Kharkov Polytechnical Institute”
21 Frunze str., Kharkov 61002 Ukraine
Tel.: 0038-057-7076032 E-mail: muv@kpi.kharkov.ua
EDUCATIONAL BACKGROUND:
1988 Doctor of Science (Physics & Mathematics), Moscow Institute for Problems in Mechanics (Russian Academy of Sciences).
1974 Ph.D. (Physics & Mathematics), Dnepropetrovsk State University.
1970 Graduated from the Dneptopetrovsk State University summa cum laude in Mechanics.
INDUSTRIAL AND FACULTY APPOINTMENTS:
1995-at present National Technical University “Kharkov Polytechnical Institute” (Professor).
Memberships in AMS, GAMM.
1989-1995 Dnepropetrovsk State University (Professor).
1976-1989 Dnepropetrovsk Civil Engineering Institute (Docent in Mathematics, Researcher in Mechanics).
1970-1976 Dnepropetrovsk Automation in Metallurgy Institute (Researcher in Mechanics, Control).
AREA OF EXPERTISE: Nonlinear Mechanics, Nonlinear Vibration & Stability Theory, Applied Mathematics. Current research focuses on nonlinear vibrations of elastic systems, vibro-absorption problems, nonlinear oscillations of vibro-impact systems, chaotic vibrations, aeroelasticity.
INTERNATIONAL SCIENTIFIC ACTIVITY:
Organizer of the International Conference no Nonlinear Dynamics at the National Technical University “Kharkov Polytechnical Institute”, Kharkov, 14-16 September, 2004.
Memberships in AMS, GAMM. Memberships in Scientific Committees of Int. Conferences in Ukraine, Latvia, Poland, France, Greece.
Visits to:
Michigan University in Ann Arbor, USA, 2005; ENTPE, Lion, France, 2003; Aberdin University, UK, 2001; Modena University, Italy, 2001; Technical University, Vienna, Austria, 2000 et al.
PUBLICATIONS: - Number of papers in refereed journals: 70
- Number of communications to scientific meetings: 70
- Number of books: 3
SOME RECENT PUBLICATIONS:
1. The Method of Normal Oscillations for Essentially Nonlinear systems. Moscow: Nauka, 1989, (in Russian; L.I.Manevich, Yu.V.Mikhlin and V.N.Pilipchuk), ISBN 5-02-014011-2.
2. Normal Modes and Localization in Nonlinear Systems. NY: Wiley, 1996 (A.F.Vakakis, L.I.Manevich, Yu.V.Mikhlin, V.N. Pilipchuk and A.A.Zevin), ISBN 0-471-13319-1.
3. Nonlinear Dynamics of Shells with Fluid-Structure Interaction. Institute of Thermomechanics AS CR Prague, 2002 (Editors: F.Pellicano, Y.Mikhlin and I.Zolotarev), ISBN 80-85918-76-5.
4. Yu.Mikhlin and S.Reshetnikova. Dynamical interaction of an elastic system and essentially nonlinear absorber. J. of Sound and Vibration, 2005, 283, 91-120.
5. G.V.Manucharyan and Yu.V.Mikhlin. Construction of homo- and heteroclinic trajectories in nonlinear systems. Moscow Applied Mathematics and Mechanics (PMM). 2005, 69(1), 42-52.
6. Yu.Mikhlin, T.Shmatko and G.Manucharyan. Lyapunov definition and stability of regular or chaotic vibration modes in systems with several equilibrium positions. Computer and Structures, 2004, 82, 2733-2742.
6. K. V. Avramov and Yu. V. Mikhlin. Snap-through truss as a vibration absorber. Journal of Vibration and Control, 10, 2004, 291-308.
7. K. V. Avramov and Yu. V. Mikhlin. Forced oscillations of a system, containing a snap-through truss, close to its equilibrium position. Nonlinear Dynamics 35, 2004, 361-379.
8. Yu.V.Mikhlin and G.V.Manucharyan. Construction of homoclinic and heteroclinic trajectories in mechanical systems with several equilibrium positions. Chaos, Solitons & Fractals 16, 2003, 299-309.
9. Yu.V.Mikhlin and B.I.Morgunov. Normal vibrations in near-conservative self-excited viscoelastic nonlinear systems. Nonlinear Dynamics 25, 2001, 33-48.
10. Yu.V.Mikhlin and A.M.Volok. Solitary transversal waves and vibro-impact motions in infinite chains and rods. Int. J. of Solids and Structure 37, 2000, 3403-3420.
11. Yu.V.Mikhlin. Analytical construction of homoclinic orbits of two- and three-dimensional dynamical systems, J. of Sound and Vibration 230(5), 2000, 971-983.
12. Yu.V.Mikhlin, A.F.Vakakis and G.Salenger. Direct and inverse problems encountered in vibro-impact oscillations of a discrete system. J. of Sound and Vibration 216 (2), 1998, 227-250.
13. I.V.Andrianov, Yu.V.Mikhlin and S.Tokarzevski. Two-point Pade' approximants and their applications to in solving mechanical problems. Mechanika Teoretyczna i Stosovana (J. of Theor. and Appl. Mech.), Warsawa, Poland, 35(3), 1997, 577-606.
14. Yu.V.Mikhlin and A.L.Zhupiev. An application of the Ince algebraization to the stability of non-linear normal vibration modes. Int. J. of Nonlinear Mechanics 32(1), 1997, 493-509.
15. Yu.V.Mikhlin. On non-linear normal vibrations that exist only in an intermediate amplitude range. J. of Sound and Vibration, 1997, 204 (1), 159-161.
16. Yu.V.Mikhlin. Normal vibrations of a general class of conservative oscillators. Nonlinear Dynamics 11(1),1996,1-16.
17. Yu.V.Mikhlin. Matching of local expansions in the theory of non-linear vibrations. J. of Sound and Vibration 182(4), 1995, 577-588.
18. L.I.Manevich and Yu.V.Mikhlin. Normal vibrations of nonlinear finite-dimensional systems. Advances in Mechanics 12(3), 1989, 3-38 (in Russian).
19. Yu.V.Mikhlin. The joining of local expansions in the theory of nonlinear oscillations. Vibrations, Soviet Applied Mathematics and Mechanics (PMM), 1985, 567-576.
20. A.L.Zhupiev and Yu.V.Mikhlin. Conditions for finitness of the number of instability zoned in the problem of normal vibrations of nonlinear systems, Soviet Applied Mathematics and Mechanics (PMM), 1984, 486-488.
21. A.L.Zhupuev and Yu.V.Mikhlin. On the stability of nonlinear stationary waves, Soviet Applied Mathematics and Mechanics (PMM), 1984, 371-373.
22. A.L.Zhupiev and Yu.V.Mikhlin. Stability and bifurcations of normal modes of nonlinear systems, Soviet Applied Mathematics and Mechanics (PMM)1981.
23. Yu.V.Mikhlin. Resonance modes of near-conservative nonlinear systems, Soviet Applied Mathematics and Mechanics (PMM)1974, 425-429.
24. L.I.Manevitch and Yu.V.Mikhlin. On periodic solutions close to rectilinear vibration modes, Soviet Applied Mathematics and Mechanics (PMM)1972, 988-994.
ACADEMIC ACTIVITY: Asymptotic methods in applied mathematics, Nonlinear oscillations and stability of motion, Ordinary differential equations, Application of the group theory in ODE, Differential geometry, Complex variable functions, Variational calculus, and other courses
Last
Modified: November 2005
Questions and comments contact: gayane@kpi.kharkov.ua