Institute of Mechanics

Position: Associate Professor

Department: Solid Mechanics

Room number: 424

Phone: +359 2 979 6478

E–mail: padjon@imbm.bas.bg

Scientific degrees, institution, year:

Associate Professor, Bulgarian Academy of Sciences, 2002

PhD, University of Sofia “St. Kliment Ohridski”, 1992

Fields of Research:

Mechanics of Continuous Media; Dynamics and Stability of Plates and Shells; Group Analysis of Differential Equations; Fluid–Structure Interaction; Equilibrium Shapes of Fluid Membranes and Carbon Nanostructures

Selected Publications:

Mladenov I.M., M.Ts. Hadzhilazova, P.A. Djondjorov and V.M. Vassilev, On the generalized Sturmian spirals. Comptes rendus de l’Acad´emie bulgare des Sciences Tome 64, No 5, 633–640, 2011.

Djondjorov P.A., V.M. Vassilev, I.M. Mladenov, Analytic description and explicit parametrisation of the equilibrium shapes of elastic rings and tubes under uniform hydrostatic pressure. International Journal of Mechanical Sciences 53, 355–364, 2011.

Mladenov I.M., M. Hadzhilazova, P.A. Djondjorov, V.M. Vassilev. On the plane purves whose purvature depends on the distance from the origin. AIP Conf. Proc., Vol. 1307, 112–118 (Editors: P. Kielanowski, V. Buchstaber, A. Odzijewicz, M. Schlichenmaier and T. Voronov), American Institute of Physics, New York, 2010.

Mladenov I.M., M.Ts. Hadzhilazova, P.A. Djondjorov, V.M. Vassilev. Some Explicit Solutions of the Shape Equation. AIP Conf. Proc., Vol. 1301, 215–227 (Editors: M. D. Todorov and Chr. I. Christov), American Institute of Physics, New York, 2010.

Djondjorov P.A., M.Ts. Hadzhilazova, I.M. Mladenov, V.M. Vassilev. Beyond Delaunay surfaces. Journal of Geometry and Symmetry in Physics 18, 1–11, 2010.

Mladenov I.M., M.Ts. Hadzhilazova, P.A. Djondjorov, V.M. Vassilev. On the Whewell Parameterizations of the Euler Elastica. AIP Conf. Proc., Vol. 1191, 133–140 (Eds P. Kielanowski, S. T. Ali, A. Odzijewicz, M. Schlichenmaier and Th. Voronov), American Institute of Physics, New York, 2009.

Djondjorov P.A., V.M. Vassilev, I.M. Mladenov. Junctions between carbon nanotubes and flat graphene sheets or co-axial carbon nanotubes. Comptes rendus de l’Acad´emie bulgare des Sciences Tome 62, No 7, 805–810, 2009.

Vassilev V.M., P.A. Djondjorov, I.M. Mladenov. Application of continuum mechanics approach to the shape analysis of carbon nanotubes and their junctions. In: Nanoscience & Nanotechnology Vol. 9, 11–16 (Eds. E. Balabanova and J. Dragieva), BPS Ltd., Sofia, 2009.

Djondjorov P.A., V.M. Vassilev, I.M. Mladenov. Plane curves associated with integrable dynamical systems of the Frenet-Serret type, TRENDS IN DIFFERENTIAL GEOMETRY, COMPLEX ANALYSIS AND MATHEMATICAL PHYSICS, World Scientific – Singapore, 56–62, 2009.

Vassilev V.M., P.A. Djondjorov, I.M. Mladenov. Integrable dynamical systems of the Frenet-Serret type, TRENDS IN DIFFERENTIAL GEOMETRY, COMPLEX ANALYSIS AND MATHEMATICAL PHYSICS, World Scientific - Singapore, 234–244, 2009.

Vassilev V.M., P.A. Djondjorov, I.M. Mladenov. Cylindrical equilibrium shapes of fluid membranes, J. Phys. A: Math. Theor. 41 435201 (16pp), 2008.

Mladenov I.M., M.Ts. Hadzhilazova, P.A. Djondjorov, V.M. Vassilev. On the intrinsic equation behind the Delaunay surfaces. AIP Conf. Proc., Vol. 1079, 274–280, Melville-New York, 2008.

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, Issues 3–5, 1431–1437, 2008.

Vassilev V.M., P.A. Djondjorov. Dynamic stability of viscoelastic pipes on elastic foundations of variable modulus. Journal of Sound and Vibration 297, Issues 1–2, 414–419, 2006.

Vassilev V.M., P.A. Djondjorov, I.M. Mladenov. Symmetry groups, conservation laws and group-invariant solutions of the membrane shape equation. Proc. of the Seventh International Conference on Geometry, Integrability and Quantization, 2–10 June 2005, Varna Bulgaria, Eds. I.M. Mladenov, M. de Leon, 265–279, SOFTEX, Sofia 2006.

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, Issue 6, 1585–1614, 2003.

Djondjorov P.A., V.M. Vassilev, V.A. Dzhupanov. Dynamic stability of fluid conveying cantilevered pipes on elastic foundations. Journal of Sound and Vibration 247, Issue 3, 537–546, 2001.

Djondjorov P.A. On the critical velocities of pipes on variable elastic foundation. Journal of Theoretical and Applied Mechanics 31, No 4, 73–81, 2001.

Djondjorov P.A. Dynamic stability of pipes partly resting on Winkler foundation. Journal of Theoretical and Applied Mechanics 31, No 3, 101–112, 2001.

Djondjorov P.A. Group properties of Timoshenko beam equations. ZAMM (Special Issues related to ICIAM'95), Issue 5, 121–122, 1996.

Djondjorov P.A., V.M. Vassilev. Conservation laws and group-invariant solutions of the von Kármán equations. International Journal of Non–Linear Mechanics 31, 73–87, 1996.

Djondjorov P.A. Invariant properties of Timoshenko beam equations. International Journal of Engineering Science 33, 2103–2114, 1995.

Recent Projects:

ResearcherID: http://www.researcherid.com/rid/A-1112-2010

Honors:

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Institute of Mechanics tel.: +359 2 973 31 40; fax: +359 2 870 74 98; e-mail: office@imbm.bas.bg