Семинар за механику, 8. октобар 2014.

• 06. Октобар, 2014
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Наредни састанак Семинара за механику биће одржан у среду, 8. октобра 2014. у сали 301ф са почетком у 18 часова.

Предавач: Катица Р. (Стевановић) Хедрих, Mathematical Institute SANU Belgrade, Department for Mechanics and Faculty of Mechanical Engineering, University of Niš, Serbia.

Наслов предавања: ENERGY DISSIPATION IN DYNAMICS OF A CLASS OF THE FRACTIONAL ORDER SYSTEM

Садржај: Starting from matrix fractional order differential equation of a class of the system dynamic with finite number of degrees of freedom, and fractional order energy dissipation, relation between total mechanical energy (sum of kinetic and potential energies) and generalized function of fractional order energy dissipation is derived. Also using formulas of transformation from system independent generalized coordinates and eigen main coordinates of considered class of fractional order system dynamics relation between total mechanical energy (sum of kinetic and potential energies) and generalized function of fractional order energy dissipation on one eigen main fractional order mode is derived. On the basis of these relations, two theorems of energy fractional order dissipation of a class of the fractional order system with finite number of degrees of system, are defined and proofed.

Keywords: Fractional order system, generalized function of fractional order energy dissipation, theorem of mechanical energy change, qualitative and mathematical analogies, eigen main fractional order mode energy dissipation.