Seminar za mehaniku, 8. oktobar 2014.

• 06. Oktobar,  2014
• Komentari (0)

Naredni sastanak Seminara za mehaniku biće održan u sredu, 8. oktobra 2014. u sali 301f sa početkom u 18 časova.

Predavač: Katica R. (Stevanović) Hedrih, Mathematical Institute SANU Belgrade, Department for Mechanics and Faculty of Mechanical Engineering, University of Niš, Serbia.

Naslov predavanja: ENERGY DISSIPATION IN DYNAMICS OF A CLASS OF THE FRACTIONAL ORDER SYSTEM

Sadržaj: 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.

---