Karakterizacija trka kroglice s togo podlago

Krašovec, Martin (author), Boltežar, Miha (mentor), Čepon, Gregor (co-mentor)

Diplomska naloga temelji na razumevanju fizikalnih osnov trka, uporabi različnih modelov za popis trka in primerjavi le-teh. Postopek za formacijo naloge je temeljila na pregledu člankov, knjižne literature in spletnih virov. Po zboru literature je sledilo vrednotenje in organizacija ključnih informacij. V nadaljevanju smo ključne informacije tudi poenotili za lažjo interpretacijo in zapis gibalnih enačb. S pomočjo programske opreme smo obravnavali gibalne enačbe različnih modelov in primerjali pridobljene rezultate. Za konec pa smo se lotili celostnega razumevanja ozadja dobljenih rezultatov in iskanja odgovorov. Interpretacija rezultatov nam je omogočila razumeti, da je linearen dušen model z ne konstantnim koeficientom vzmeti boljši približek realnosti, kot model s konstantnim koeficientom vzmeti. Linearni model z ne konstantnim koeficientom vzmeti ima v času največje deformacije silo v kontaktu enako nič. Čas trajanja trka pri linearen modelu z ne konstantnim koeficientom vzmeti in ne-linearnem modelu je odvisen od začetne hitrosti, medtem ko pri linearnem modelu s konstantnim koeficientom neodvisen od začetne hitrosti. Diplomska naloga odpira dobro teoretično podlago za izvedbo eksperimentalnih poskusov trka, ki bi omogočili boljše razumevanje tega kompleksnega fizikalnega procesa.

• Language: Slovenian
• Keywords: trk, mehansko nihanje, linearni model, nelinearni model, Hertzova teorija, penalna formulacija, odziv
• Work type: Bachelor thesis/paper
• Organization: FS - Faculty of Mechanical Engineering
• Year: 2017
• PID: 20.500.12556/RUL-95470
• Publication date in RUL: 20.09.2017

Secondary language

• Language: English
• Title: The characterization of ball impact with rigid surface

Abstract

The presented diploma thesis presents the basic theory of collision between ball and rigid ground. First an extensive literature review was performed in order to identify developed modeling techniques for contact formulation. Selected contact algorithms were written in the form of mathematical models and the comparison of the results is performed. Based on the simulation results it was shown that damped model with nonlinear spring coefficient presents better approximation of real impact than the linear contact model with constant spring coefficient. The model with non-linear spring coefficient has the contact force in the region of maximal deformation equal to zero. The duration of contact is influenced by the value of contact velocity which is not the case when using linear contact model with constant spring coefficient. The diploma thesis presents the good basis for further research in this field and for implementation of more advanced contact models.

• Keywords: collision, mechanical oscillation, linear model, nonlinear model, Hertz theory, penal formulation, dynamics response