Seminar on Applied Mathematics

PROGRAM

Matematički Institut
Matematički fakultet
Fakultet organizacionih nauka
JUPIM

SEMINAR ZA PRIMENJENU I INDUSTRIJSKU MATEMATIKU

MI SANU, Knez Mihailova 36, sala 305

PLAN RADA SEMINARA ZA APRIL 2009. GODINE

Utorak, 07.04.2009. u 14:15, Sala 305, MI SANU:

Mirjana Filipović, Institut "Mihailo Pupin", Beograd
EXTENSION OF THE EULER BERNOULLI EQUATION FROM MANY ASPECTS

Abstract: This work offers a new approach to the analysis of the elastic complex robotic system because it solves problem of flexibility in a simple way. We demonstrated that the equation of motion of all the forces involved at any point (at the link tip on this elastic line also) follows directly from the Euler-Bernoulli equation. If we define boundary conditions for the mode tip as the most interesting point on the elastic line, we obtain the equation of motion at that point, what is classical form of the mathematical model of the elastic robotic system considered. Thus we demonstrated the connection of the motion equation and Euler-Bernoulli equation. The elastic deformation is the consequence of the total robot system dynamics which is essentially different from, until now, widely used method that implies the adaptation of the "assumed modes technique". Euler-Bernoulli equation (based on the known laws of dynamics) should be supplemented with all the forces that are participating in the formation of the bending moment of the considered mode. Structure of the stiffness matrix must also have the elements outside the diagonal, because of the existence of strong coupling between the elasticity forces involved. Damping is an omnipresent elasticity characteristic of real systems, so that it is naturally included in the Euler-Bernoulli equation. With elastic robotic systems, the actuator torque is opposed to the elasticity moment of the first elastic element, which comes after the motor. In our case it is the motor moment that is connected to the rest of the mechanism via the equivalent elasticity moment. The choice of the reference trajectory, which depends on the level of the elasticity characteristics knowledge, is analyzed. The estimated elasticity characteristics can be included in the reference trajectory as well as in the control law.

Utorak, 14.04.2009. u 14:15, SALA 305, MI SANU:

Aleksandar Markovic, Fakultet organizacionih nauka
ELEKTRONSKE TRZNICE

Sadrzaj: Velika popularnost Interneta i prednosti koje donosi poslovanje na svetskoj mrezi podstakli su veliki broj trgovaca da se oprobaju u elektronskoj maloprodaji. Neki od njih su postavili male elektronske prodavnice, dok su se drugi opredelili za primenu sireg koncepta, prenoseci model starije trgovinske institucije - trgovinskog centra u elektronsku formu.

Za razliku od tradicionalnih trznica koje imaju svoju fizicku lokaciju, trznice na Internetu nemaju svoje fizicko prisustvo - one zapravo predstavljaju virtuelne trznice. Na osnovu ove cinjenice Rayport i Sviokla su 1996. godine napravili nov pojam "elektronske trznice" (e-marketplaces). Ovo je uslovilo znacajane implikacije na nacin kako dolazi do uspostavljanja veza izmedju razlicitih aktera koji se pojavljuju na trzistu.

E-trznice su jedan od najvaznijih smerova evolucije Interneta do danas. One predstavljaju novi oblik online posrednika koji na jednom mestu efikasno predstavlja agregiranu ponudu i potraznju, pruzajuci kupcima nize troskove nabavke uz mogucnost kontakata sa novim dobavljacima, a jednako tako i dobavljacima nize troskove prodaje uz mogucnost kontakata sa novim kupcima. E-trznice su virtuelni trgovinski centri gde kupci, dobavljaci, distributeri i prodavaci pronalaze i razmenjuju informacije.

Utorak, 21.04.2009. u 14:15, sala 305, MI SANU:

NEMA SASTANKA SEMINARA

Sastanak Seminara nece se odrzati zbog uskrsnjeg raspusta.

Utorak, 28.08.2009. u 14:15, sala 305, MI SANU:

Zorica Bogdanovic, Fakultet organizacionih nauka
MOBILNO OBRAZOVANJE

Sadrzaj: Mobilno ucenje je prosirilo obrazovne aktivnosti izvan ucionica i uobicajenih obrazovnih tokova. Da bi mobilno ucenje postalo prihvaceno u glavnim obrazovnim tokovima neophodno je uciniti ga dostupnim vecini studentske populacije. Zbog raznovrsnosti ciljnih uredjaja i njihovih mogucnosti, kao i slozenosti razvoja i testiranja mobilnih aplikacija, metode mobilnog ucenja su jos uvek slabo zastupljene u obrazovnim institucijama. Predmet ovog rada je istrazivanje mogucnosti primene metoda mobilnog ucenja u elektronskom obrazovanju, narocito u univerzitetskom, sa posebnim akcentom na integrisanje unutar sistema za upravljanje ucenjem.

RUKOVODIOCI SEMINARA

Vera Kovačević-Vujčić
Milan Dražić