Research interests

• analytical mechanics
• multibody system dynamics
 

Diplomas

1966: Diploma in Mechanics at  Novosibirsk State University
1969: Diploma of candidate of  physics and mathematics
The theme of the candidate thesis is "Investigation of some solutions to  the equations of rigid body dynamics "
1973: Certificate of senior research worker, specialization  “mechanics”
1983: Diploma of doctor of  physics and mathematics
The theme of the doctor thesis is "Methods for construction of  complete solutions to  the problems of rigid body dynamics "
1988: Certificate of  full professor rank at  the Chair of  High  Mathematics

 

Grants and awards

 

Career

1966-1969: Engineer, applied mechanics dept., IAMM NASU
1970: Junior research worker , applied mechanics dept., IAMM NASU
1971-1985: Senior research worker, applied mechanics dept., IAMM NASU
1986-1992: Leading research worker, applied mechanics dept., IAMM NASU
1993-1995: Head of the laboratory of dynamics of systems of coupled rigid bodies, IAMM NASU
1996: Leading research worker, applied mechanics dept., IAMM NASU
1996-2007: Head of the chair of  High  Mathematics, Donetsk State University
Since 2008: Leading research worker, applied mechanics dept., IAMM NASU

 

Publications

1. Certain properties of precessional motions relative to the vertical of a heavy solid body with one fixed point. (Russian) ; translated from Prikl. Mat . Meh. 38 (1974), 451--458 J. Appl. Math. Mech. 38 (1974), 418--425 (1975)
    
2. One case of semiregular precession, relative to an inclined axis, of a heavy solid with a fixed point. (Russian) Meh. Tverd. Tela Vyp. 8 (1976), 32--36, 137. (Co-author Koval?, V. I. )
    
3. Nutation-free motions of a rigid body with a fixed point. (Russian) Meh. Tverd. Tela Vyp. 8 (1976), 23--31, 137. (Co-author Harlamova, E. I.)
    
4. Precessions, relative to the vertical, of a heavy rigid body having a fixed point. (Russian) Meh. Tverd. Tela Vyp. 9 (1977), 3--17, 125.
    
5. Some questions on the nonlinear theory of the observation of dynamical systems. (Russian) Dokl. Akad. Nauk Ukrain. SSR Ser. A 1977, no. 3, 244--247, 286. (Co-authors Harlamov, P. V.; Doksevic, A. I.; Kovalev, A. M.; Konosevic, B. I.; Savcenko, A. Ja.)
    
6. Monograph: Classical problems in the theory of solid bodies. Their development and current state. – Kiev: Naukova dumka. – 1978. – 296 p. (Co-authors Kudryashova L.V., Stepanova L.A.)
    
7. Asymptotically uniform motions of a solid with a fixed point in a potential force field. (Russian) Mekh. Tverd. Tela No. 12 (1980), 19--26, 118.
    
8. A new class of asymptotic motions of a heavy rigid body about a fixed point. (Russian) Dokl. Akad. Nauk SSSR 260 (1981), no. 6, 1316--1317.
    
9. Methods of studying the motions of a rigid body and their application in the classification of motions. (Russian) Mekh. Tverd. Tela No. 14 (1982), 54--74, 130.
    
10. Isoconic motion of a rigid body with a fixed point. (Russian) Mekh. Tverd. Tela No. 14 (1982), 20--33, 130. (Co-author Varkhalev, Yu. P.)
     
11. A new class of asymptotically uniform motions of a heavy rigid body with a fixed point. (Russian) J. Appl. Math. Mech. 46 (1982), no. 3, 397--400 (Co-author Varkhalev, Yu. P.)
     
12. Monograph: Nonlinear analysis of the behavior of mechanical systems ``Naukova Dumka'', Kiev, 1984. 286 pp. (Co-authors Ilyukhin, A. A.; Kovalev, A. M.; Savchenko, A. Ya.)
     
13. The sufficient conditions for the existence of asymptotically pendulum-like motions of a heavy rigid body with a fixed point. (Russian) ;translated from Prikl. Mat. Mekh. 50 (1986), no. 4, 681--684 J. Appl. Math. Mech. 50 (1986), no. 4, 522--525 (1987) (Co-author Bryum, A. Z.)
     
14. Semiregular precession of a Hess gyroscope, suspended from a rod, and its generalization in a problem of the motion of a system of two rigid bodies. (Russian) Dokl. Akad. Nauk Ukrain. SSR Ser. A 1987, no. 2, 48--51, 88. (Co-author Kononykhin, G. A.)
     
15. The reduction of order of a system of differential equations of the motion of a rigid body in a linear force field and a Lorentz force field. (Russian) Mekh. Tverd. Tela No. 19 (1987), 33--42, 111. (Co-author Maznev, A. V.)
     
16. On the dynamic impossibility of Grioli regular precession in the motion of a rigid body suspended by a rod. (Russian) ; translated from Prikl. Mat. Mekh. 51 (1987), no. 3, 371--374 J. Appl. Math. Mech. 51 (1987), no. 3, 289--291 (1988) (Co-author Kononykhin, G. A.)
     
17. A new class of motions of a system of heavy freely connected rigid bodies. (Russian) Prikl. Mat. Mekh. 52 (1988), no. 5, 707--712; translation in J. Appl. Math. Mech. 52 (1988), no. 5, 551--555 (1990). (Co-author Rubanovskii, V. N.)
     
18. Asymptotically uniform motions around an inclined axis in a generalized problem of the motion of a rigid body with a fixed point. (Russian) Mekh. Tverd. Tela No. 20 (1988), 13--18, 111. (Co-author Kovalev, V. M.)
     
19. Asymptotically uniform motions of a rigid body with a fixed point. (Russian) Mat. Fiz. Nelinein. Mekh. No. 12(46) (1989), 4--9, 93. (Co-author Varkhalev, Yu. P.)
     
20. A class of isoconic motions in the dynamics of a rigid body with a fixed point. (Russian) Mekh. Tverd. Tela No. 22 (1990), 33--38. (Co-author Verkhovod, E. V.)
     
21. A new solution of a generalized problem on the motion of a body with a fixed point. (Russian) Prikl. Mat. Mekh. 56 (1992), no. 3, 532--535; translation in J. Appl. Math. Mech. 56 (1992), no. 3, 443--446
     
22. New solutions of a generalized problem of the dynamics of a rigid body with a fixed point. (Russian) Dokl. Akad. Nauk Ukrainy 1992, no. 5, 50--54, 160. (Co-authors Maznev, A. V.; Verkhovod, E. V. )
     
23. Precession motions of a two rigid bodies coupling in a gravitational field. (Russian) Mekh. Tverd. Tela No. 24 (1992), 56--61. (Co-author Birman, I. E.)
     
24. The first Lyapunov method in the study of asymptotic motions in the dynamics of a rigid body. (Russian) Mekh. Tverd. Tela No. 24 (1992), 25--41. (Co-author Varkhalev, Yu. P.)
     
25. Precessional-isoconic motions of a rigid body with a fixed point. (Russian) Prikl. Mat. Mekh. 57 (1993), no. 4, 31--39; translation in J. Appl. Math. Mech. 57 (1993), no. 4, 613--622 (Co-author Verkhovod, E. V.)
     
26. New cases of isoconic motions in the generalized problem of the dynamics of a rigid body with a fixed point. (Russian) Prikl. Mat. Mekh. 57 (1993), no. 5, 25--34; translation in J. Appl. Math. Mech. 57 (1993), no. 5, 783--792 (1994) (Co-author Verkhovod, E. V.)
     
27. Behavior of a fixed hodograph for asymptotically uniform motions of a gyrostat in the generalized problem of dynamics. (Russian) Mekh. Tverd. Tela No. 26, part I, II (1994/98), 13--20. (Co-author Nosyreva, E. P. )
     
28. On asymptotically precession motions of a gyrostat in the generalized problem of dynamics. (Russian) Mekh. Tverd. Tela No. 26, part I, II (1994/98), 20--28. (Co-author Dumbai, D. I.)
     
29. Conditions for the existence of regular precessions of a gyrostat in generalized problems of dynamics. (Russian) Mekh. Tverd. Tela No. 27 (1995), 45--49. (Co-author Maznev, A. V.)
     
30. Dynamics of precessional motions of a system of two rigid bodies in a gravitational field // Applied Mathematics and Mechanics. – 1995. – 59 (2). – Pp. 188-198. (Co-author Birman I.Ye.)
     
31. On a class of polynomial solutions in the problem of the motion of a gyrostat in a magnetic field. (Russian) Prikl. Mat. Mekh. 61(1997), no. 5, 781--787; translation in J. Appl. Math. Mech. 61 (1997), no. 5, 757--763 (1998) (Co-author Suvorova, N. G.)
     
32. On the formulation of the problem of the solution of the equations of G. Grioli and M. P. Kharlamov in a special form. (Russian)Mekh. Tverd. Tela No. 29 (1997), 133--139. (Co-author Uzbek, E. K.)
     
33. Isoconic motions in a problem of the dynamics of a rigid body. (Russian) Mekh. Tverd. Tela No. 29 (1997), 139--143. (Co-author Uzbek, E. K.)
     
34. On a linear invariant relation in the problem of the motion of a gyrostat in a magnetic field. (Russian) Prikl. Mat. Mekh. 61 (1997), no. 4, 566--569; translation in J. Appl. Math. Mech. 61 (1997), no. 4, 549--552
     
35. On the isoclinic motions of a body in the case of three linear invariant relations. (Russian) Mekh. Tverd. Tela No. 30 (2000), 93--99. (Co-authors Sarkis?yants, E. V.; Skrypnik, S. V.)
     
36. On a class of particular solutions of the equations of motion of a gyrostat in a field of potential and gyroscopic forces. (Russian) Proceedings of the Institute of Applied Mathematics and Mechanics, Vol. 5 (Russian), 29--37, Tr. Inst. Prikl. Mat. Mekh., 5, Nats. Akad. Nauk Ukrainy Inst. Prikl. Mat. Mekh., Donetsk, 2000. (Co-author Mironova, E. M.)
     
37. On two linear invariant relations for the differential equations of dynamics. (Russian) Proceedings of the Institute of Applied Mathematics and Mechanics, Vol. 5 (Russian), 38--43, Tr. Inst. Prikl. Mat. Mekh., 5, Nats. Akad. Nauk Ukrainy Inst. Prikl. Mat. Mekh., Donetsk, 2000. (Co-author Skrypnik, S. V.)
     
38. New solutions in the problem of the motion of a body in a potential field and gyroscopic forces. (Russian) Dopov. Nats. Akad. Nauk Ukr. Mat. Prirodozn. Tekh. Nauki 2001, no. 4, 41--48. (Co-author Mironova, E. M. )
     
39. On a class of precession-isoconic motions of a body under potential and gyroscopic forces. (Russian) Mekh. Tverd. Tela No. 31 (2001), 31--37.
     
40. Properties of a class of invariant relations for generalized equations of dynamics. (Russian) Prikl. Mat. Mekh. 65 (2001), no. 3, 426--435; translation in J. Appl. Math. Mech. 65 (2001), no. 3, 411--419 (Co-author Mironova, E. M. )
     
41. On the integration of Poisson equations in the case of three linear invariant relations. (Russian) Prikl. Mat. Mekh. 66 (2002), no. 3, 418--426; translation in J. Appl. Math. Mech. 66 (2002), no. 3, 409--417 (Co-author Uzbek, E. K.)
     
42. Precession motions in the dynamics of a rigid body and the dynamics of systems of coupled rigid bodies // Prikl. Mat. Mekh., 67 (2003), no 4, 573–587; translation in J. Appl. Math. Mech. 67 (2003), no 4, 511– 523.
     
     
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43. On a new solution of the Kirchhoff equations in the case of a linear invariant relation. (Russian) Prikl. Mat. Mekh. 69 (2005), no. 6, 922--928; translation in J. Appl. Math. Mech. 69 (2005), no. 6, 825--831 (2006) (Co-author Uzbek, E. K.)
     
44. On the integration of the Grioli equations in the case of an invariant relation // Rigid Body Mechanics. – 2005. – No. 35. – P. 49-57. (Co-authors Yakhya, Kh. M.; Shchetinina, E. K.)
     
45. New classes of precession motions of a gyrostat under the action of potential and gyroscopic forces. (Russian) Proceedings of the Institute of Applied Mathematics and Mechanics. Vol. 12 (Russian), 36--45, Tr. Inst. Prikl. Mat. Mekh., 12, Nats. Akad. Nauk Ukrainy Inst. Prikl. Mat. Mekh., Donetsk, 2006. (Co-author Shchetinina, E. K.)
     
46. On asymptotically precession motions of a spherical gyrostat. (Russian) Mekh. Tverd. Tela No. 38 (2008), 56--62. (Co-author Mironova, E. M. )
     
     
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47. Monograph: Precessional motions in rigid body dynamics and in dynamics of a system of coupled rigid bodies. – Donetsk: Donetsk National University. – 2009. – 222 p. (Co-authors Maznev A.V., Shchetinina Ye.K.)
     
48. On the conditions for the existence of a first integral of the Kirchhoff-Poisson equations on an invariant set // Rigid Body Mechanics. – 2009. – No. 39. – P. 50-61. (Co-author Maznev A.V.)
     
     
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49. Monograph: Dynamics of a Gyrostat Having a Fixed Point. –Donetsk Nat. Uni., 2010. – 364 p. (Co-author Maznev A.V.)