List of selected papers

List of Selected Papers

1. Djondjorov, P. A., V. M. Vassilev. On the Dynamic Stability of a Cantilever under Tangential Follower Force According to Timoshenko Beam Theory, Journal of Sound and Vibration, 311 (2008) 1431–1437.

2. Djondjorov, P. A., V. M. Vassilev. Dynamic Instability of a Cantilevered Timoshenko Beam under Tensile Follower Force. In: Proc. of the Thirty Sixth Spring Conference of the Union of Bulgarian Mathematicians, St. Konstantin & Elena Resort, Varna, April 2–6, 2007, (Eds. P. Boyvalenkov and P. Rusev), Sofia, SMB, 2007, 210–214.

3. Vassilev, V. M, P. A. Djondjorov, I. M. Mladenov. On the Translationally–Invariant Solutions of the Membrane Shape Equation. In: Geometry, Integrability and Quantization, Vol. VIII, (Eds. I. Mladenov and M. de León), Sofia, SOFTEX, 2007, 312–321. [Zbl pre05182533]

4. Vassilev, V. M, P. A. Djondjorov, I. M. Mladenov. Symmetry Groups, Conservation Laws and Group–Invariant Solutions of the Membrane Shape Equation. In: Geometry, Integrability and Quantization, Vol. VII, (Eds. I. Mladenov and M. de León), Sofia, SOFTEX, 2006, 265–279. [MR2228378 (2007h:58022)]

5. Vassilev, V. M, P. A. Djondjorov. Dynamic Stability of Viscoelastic Pipes on Elastic Foundations of Variable Modulus. Journal of Sound and Vibration, 297 (2006), 414–419.

6. Djondjorov, P. A., V. M. Vassilev. On the Effect of the Material Viscosity and Elastic Foundations of Variable Modulus on the Dynamic Stability of Cantilevered Pipes. In: Proc. of 10th Jubilee National Congress on Theoretical and Applied Mechanics, Varna 13 – 16 September 2005, Vol. I, (Eds. Ya. Inanov, E. Manoach, R. Kazandjiev) Sofia, Prof. Marin Drinov Academic Publishing House, 2005, 162–167.

7. Vassilev, V. M, P. A. Djondjorov. On the Dynamics and Stability of Fluid–Conveying Elastic Pipes on Elastic Foundations of Variable Modulus. In: Proc. Of 10th Jubilee National Congress on Theoretical and Applied Mechanics, Varna 13 – 16 September 2005, Vol. I, (Eds. Ya. Inanov, E. Manoach, R. Kazandjiev), Sofia, Prof. Marin Drinov Academic Publishing House, 2005, 396–400.

8. Djondjorov, P. A., V. M. Vassilev. Symmetries and Conservation Laws of Plates and Shells Interacting with Fluid Flow. In: Geometry, Integrability and Quantization, Vol. VI, (Eds. I. Mladenov and A. Hirshfeld), Sofia, SOFTEX, 2005, 183–190. [MR2161765 (2006e:74024), Zbl pre02223050]

9. Vassilev, V. M., I. M. Mladenov. Geometric Symmetry Groups, Conservation Laws and Group–Invariant Solutions of the Willmore Equation. In: Geometry, Integrability and Quantization, Vol. V, (Eds. I. Mladenov and A. Hirshfeld), Sofia, SOFTEX, 2004, 246–265. [MR2082310 (2005g:53062), Zbl 1073.53008]

10. Vassilev, V. M., P. A. Djondjorov. Application of Lie Transformation Group Methods to Classical Linear Theories of Rods and Plates, International Journal of Solids and Structures, 40 (2003), 1585–1614. [MR2014833 (2004h:74048), Zbl 1032.74580]

11. Djondjorov P. and V. Vassilev, On the invariance of Timoshenko beam equations. In: Proc. 9th National Congress on Theoretical and Applied Mechanics (Varna, 19-22 September 2001); Ya. Ivanov, A. Baltov and E. Manoach (eds.); Bulgarian Academy of Sciences, Demetra Ltd. (2001), Vol. 1, pp. 449-454.

12. Djondjorov P., V. Vassilev and V. Dzhupanov, Dynamic Stability of Fluid Conveying Cantilevered Pipes on Elastic Foundations, Journal of Sound and Vibration, 247 (2001), 537-546.

13. Vassilev, V., P. Djondjorov and V. Dzhupanov, Conservation Laws in the Dynamics of Pipes Conveying High-Speed Fluids. In: Flow Induced Vibrations, A.A.Balkema/Roterdam, pp. 363-370 (2000).

14. Vassilev V., P. Djondjorov, Symmetry Groups and Conservation Laws in Structural Mechanics. In: Symmetry in Nonlinear Mathematical Physics, Proc.of Institute of Mathematics of NAS of Ukraine, Vol. 30, Part 1, Kyiv, Institute of Mathematics of NAS of Ukraine, pp. 223-230 (2000). [MR 2001c:74052, Zbl 1025.74017]

15. Vassilev, V., Symmetry Groups, Conservation Laws and Group-Invariant Solutions of the Marguerre-von Karman Equations. In: Integral Methods in Science and Engineering, Chapman & Hall / CRC Research Notes in Mathematics 418, Boca Raton, FL, pp. 338-343 (2000). [MR 1 754 184, Zbl 0959.35161]

16. Djondjorov P., V. Vassilev, Acceleration Waves in the von Karman Plate Theory. In: Integral Methods in Science and Engineering, Chapman & Hall / CRC Research Notes in Mathematics 418, Boca Raton, FL, pp. 131-136 (2000). [MR 1 754 162, Zbl 0958.35138]

17. Vassilev V., Application of Lie Groups to the Theory of Shells and Rods, Nonlinear Analysis, Proc. of the Second World Congress of Nonlinear Analysis,. Vol. 30 (8), pp. 4839-4848 (1997). [MR 2000h:74056, Zbl 0903.73040]

18. Vassilev V., Symmetry Groups and Equivalence Transformations in the Nonlinear Donnell-Mushtari-Vlasov Theory for Shallow Shells, J. Theoret. and Appl. Mech., 27 (1997), pp. 43-51. [MR 99c:73053; Zbl. Math. 898.73043]

19. Djondjorov P. and V. Vassilev, Conservation Laws and Group-Invariant Solutions of the von Karman Equations, Int. J. Non-Linear Mech. Vol.31, No.1, pp. 73-87 (1996). [MR 97f:73023; Zbl. Math. 860.73027]

20. Dzhupanov V., V. Vassilev and P. Dzhondzhorov, On the Critical Velocities of a Pipe Conveying Fluid and Subjected to an External Loading, J. Theoret. and Appl. Mech., 26 (1996), pp. 40-51.

21. Vassilev V., Lie Symmetries and Conservation Laws for (2+1)-Dimensional Linear Plate Problems Allowing an Exact Variational Formulation, ZAMM, Special Issues (Proc. of ICIAM/GAMM 95, Hamburg, July 3-7, 1995), Issue 5: Applied Sciences, especially Mechanics (Contributed Papers), Edwin Kreuzer / Oskar Mahrenholtz (eds.), pp. 533-534 (1996). [Zbl 925.73262]

22. Dzhupanov V., V. Vassilev and P. Dzhondzhorov, Group-Invariant Solutions of Nonlinear Elastodynamics Problems of Plates and Shells, Trans. SMiRT-12 (August 1993, Stuttgart, Germany), Elsevier Science Publishers B.V. (1993), Amsterdam, Paper B06/4, Vol. B, pp. 165-170.

23. Vassilev V., Group Properties of a Class of Fourth-Order Partial Differential Equations (Russian), Annuaire Univ. Sofia Fac. Math. Inform., 82 (1988), No. 2, pp. 163-178 (1992). [MR 94b:35019, Zbl 925.35013]

24. Vassilev V., On Mapping the Equilibrium Equations of a Class of Thin Shallow Shells with Varying Curvature to Constant Coefficient Equations via Lie Groups. In Book of Abstr.: First Simposium on Symmetry of Structures, 13-19 August 1989, Budapest, Hungary (Edited by G. Darvas and D. Nagy) Vol. II, pp. 592-595, MALEV Budapest (1989).

25. Vassilev V., Group Properties of Equations from the Theory of Thin Shallow Shells of Euclidean Geometry, XII Nat. Summer School on Application of Mathematics in Industry, Aug. – Sept. 1987, Varna, Bulgaria; Proc., pp. 125-128. (In Russian)

26. Dzhupanov V., V. Ivanov and V. Vassilev, Computing Realization of Group Analysis of FSI Problems, Trans. of 9-th SMiRT Conference, Lausanne, 17-21 August 1987; Proc. Vol. B, A.A.Balkema/Roterdam/Brookfield/ 1987, pp. 279-284.

27. Dzhupanov V. , E. Gavrilova, A. Golovkina, V. Vassilev, Dispersion Equations of the Round-Cylindrical Shell-Tank Hydroelasticity Problem (Part I), J. Theoret. and Appl. Mech., Vol. XVII, No. 2, pp. 50-62 (1986). [Zbl 0608.73068]

28. Dzhupanov V., E. Gavrilova, A. Golovkina, V. Vassilev, Dispersion Equations of the Round-Cylindrical Shell-Tank Hydroelasticity Problem (Part II), J. Theoret. and Appl. Mech., Vol. XVII, No. 3, pp. 31-41 (1986).

29. Dzhupanov V., D. Karagiozova and V. Vassilev, Chain Solution Bifurcation of Offshore Scaffold Bridge Hidroelastic Problem, J. Theoret. and Appl. Mech., Vol. XVI (1985), No. 3, pp. 50-58. [Zbl. Math. 592.73067]

30. Vassilev V., Group Properties of the Stability Equation for Thin Elastic Plates, V National Congress on Theoret. and Appl. Mech., Sept. 1985, Varna, Bulgaria; Proc., Vol. 2, pp. 282-287.

31. Dzhupanov V., D. Karagiozova and V. Vassilev, Transient Loading of Pile-Shell-Type Supported Structures, Symposium on Flow-Induced Vibrations, ASME Winter Annual Meeting, December 9-14 (1984), New Orleans, USA; Proc., pp. 189-201.

32. Vassilev V., On the Inverse Problem in Mechanics of Continuous Media, IV National Congress on Theoret. and Appl. Mech., Sept. 1981, Varna, Bulgaria; Proc., Vol. 1, Bulg. Acad. of Sc., 1981, pp. 256-261.

Dr. Vassil M. Vassilev, Associate Professor,
Department of Mechanics of Continuous Media
Institute of Mechanics – Bulgarian Academy of Sciences,
Acad. G. Bontchev St., Block 4, 1113 Sofia, BULGARIA
Phone: (+359)-2-979-6478, Fax: (+359)-2-870-7498
E-mail: vasilvas@imbm.bas.bg

Last updated: 7 November 2007