Hrant A. Gevorgyan
Biography
Dr. Hrant A. Gevorgyan is a Senior Researcher at the Institute of Mechanics of the National Academy of Sciences of the Republic of Armenia. He earned his Doctorate in Mechanics with a specialization in the Dynamics of Deformable Bodies from the University of Pierre and Marie Curie (Paris VI) in 2000. He also holds a DEA in Mechanics from the University of Poitiers, France, and master?s and engineering diplomas with excellence from the State Engineering University of Armenia.
Throughout his career, Dr. Gevorgyan has held teaching and research positions at several institutions, including the University of Evry Val d'Essonne (France), the State Engineering University of Armenia, and the Architecture and Construction State University of Yerevan. He also served as a Lecturer in Superior Mathematics at the Franco-German Engineering Institute in Armenia and worked as an Engineer-Investigator at Ani-Electronics.
Fluent in Armenian, Russian, French, Italian, English, and Latin, Dr. Gevorgyan has strong expertise in informatics and programming, including experience with MS Office, AutoCAD, Fortran, C/C++, Java, and UNIX systems. He is 53 years old and based in Yerevan, Armenia.
Research Interest
Mechanics of deformable bodies, dynamics of structures, and applied engineering mechanics.
Abstract
Generalized Rotation Tensor of An Arbitrary Spatial System of Forces
Abstract: The proposed article presents an extension of the well-known theorem of
theoretical mechanics about three moments, which is valid for an arbitrary planar
system of forces, to the general case of an arbitrary spatial system of forces.
Existence and uniqueness theorems for a symmetric static tensor of moments are
formulated with a presentation of their proofs. For an arbitrary spatial system of
forces, the dynamic tensor of moments is also formulated. A technique is presented
for determining the principal directions and principal values of the moment tensor,
for which the number of its independent components is reduced to three. This case
provides clear evidence for the existence of a generalized rotation. A concrete
example of an arbitrary system of forces is given, confirming the equivalence of the
conditions of static equilibrium in the classical and new interpretations.
Keywords: Second Form of Equilibrium, Arbitrary Spatial System of Forces,
Moment Tensor, Generalized Rotation, Generalized Rotation Tensor.
