Courses – Fakultet tehničkih nauka u Novom Sadu

Subject: Nonsmooth Mechanics and Optimization (17.DM406)

Native organizations units: Chair of Machine Elements, Machine and Mechanism Theory and Mechanical Engineering in Agriculture

Type of studies	Title
Doctoral Academic Studies	Mechatronics (Godina: 2, Winter)
Doctoral Academic Studies	Mechatronics (Godina: 2, Winter)
Doctoral Academic Studies	Mechanical Engineering (Godina: 2, Winter)

General information:

Category	Scientific-professional
Scientific or art field	Mechanics
Interdisciplinary	Yes
ECTS	10

Educational goal:

Application of nonsmooth mathematical analysis in studying of mechanical systems movement and acquiring optimal solutions.

Educational outcome:

Ability to analyse system with unilateral limit movement, in the presence of regular and impact force, with or without dry friction.

Course content:

Elements of nonsmoothe mathematical analysis: general and multivalue functions. Unilateral functions. Differential equations. Differential inclusions. Complementar formulations. Systems with unilateral limitations. Variational principles and unilateral limitations. Collision of two or more bodies. Moor`s process. Stability of nonsmooth dynamic systems with unilateral limitations. Quazidifferential functions and sets. Quazidifferential optimization. Algorithms of nonsmooth optimization. Application in robotics in theory of oscillation and economy.

Teaching methods:

Lectures, study research work and consultations. The lectures provide a theoretical part of the material using modern equipment and information and communication technologies. Through lectures, a student acquires and mastered contemporary scientific knowledge, scientific methods and procedures that enable him to become independent research work. In addition to lectures, consultations are also held regularly. Study research work includes all forms of teaching that are in the function of directly training a student for research, writing scientific papers and making a doctoral dissertation. Study research work includes active monitoring of primary scientific sources, organization and execution of numerical simulations and experimental research.

Literature:

Authors	Title	Year	Publisher	Language
Brogliato, B.	Nonsmooth Mechanics: Models, Dynamics and Control	2016	Springer	English
Hosseini, S., Mordukhovich, B.S., Uschmajew, A.	Nonsmooth Optimization and Its Applications	2019	Springer	English
Demyanov Stavroulakis Polyakova Panagiotopoulos	Quasidifferntiability and nonsmooth modelling in mechanics, engineering and economics	1996	Kluwer	English
B. Brogliato	Nonsmooth mechanics, models, dynamics and control	1999	Springer London	English
MDP Monteiro Marques	Differential inclusions in nonsmooth mechanical problems	1993	Birkhauser	English