Modeling of mechanical technical systems by using matrix of transformation

Suština istraživanja u doktorskoj disertaciji je konkretna upotreba matematičkog modela matrica u fazama dijagnostike kao i izbor optimalnih parametara stanja mašina pri radu i otkazu sastavnih komponenata mašinskih sistema (robota-manipulator, kompresora i pumpe). Takođe, posredstvom matrica izvršen je izbor održavanja sve u cilju određivanja sigurnosti i funkcionisanja sastavnih komponenti mašinskih sistema. Krajni cilj uspešnosti modela matrica pri pocesu analize dijagnostike i održavanja jeste da se izvrši izbor najboljeg rešenja ili najpoželjnije varijante koja će povisiti nivo pouzdanosti čime će uticati na budući proces eksploatacije mašine. Dati model matrica, kao i softverskih alata, predstavljeni su kao modeli proračuna, dijagnostike, održavanja i pouzdanosti mašinskih sistema. Predstavljene matrice su univerzalnog karaktera iz razloga što se mogu primeniti kako na jednostavne, tako i na složene mašinske sisteme, bez obzira na dimenzije komponenti mašinskih sistema i njihova kretanja.The essence of research in his doctoral dissertation is the use of a concrete mathematical model matrix phases of diagnostics as the choice of optimal parameters of the state machines at work and cancellation of the constituent components of mechanical systems (robot-manipulator, compressor and pumps). Also, through the matrix have been selected maintenance of everything in order to determine the security and functioning of the components of the mechanical systems. Final goal of model performance matrix analysis underway in of diagnostics and maintenance is to make the selection of the best solutions and most preferably variants that will increase the level of reliability which will affect the future process of exploitation of machines. Give a model matrix, as well as the software tools are presented as models of the calculation, diagnostics, maintenance and reliability of mechanical systems. The presented matrices are universal character for the reason that can be applied both on the simple and on complex mechanical systems, regardless of the dimensions of the components of mechanical systems and their movements