Analitična izpeljava Hertzove teorije kontakta in obravnava vplivnih parametrov

Sterle, Klemen (author), Nagode, Marko (mentor), Mejak, George (co-mentor)

Zaključna naloga obsega analitično izpeljavo kontakta dveh teles in porazdelitve tlaka v kontaktu, kot posledico normalne pritisne sile. Obravnavan je tudi vpliv materialnih in geometrijskih parametrov na izračun največjega tlaka in velikosti kontakta. V zaključku naloge je opravljena primerjava Hertzove izpeljave in poenostavljene izpeljave porazdelitve tlaka, ki je bila obravnavana v tretjem letniku razvojno raziskovanega programa na Fakulteti za strojništvo.

• Language: Slovenian
• Keywords: Hertzov tlak, porazdelitev tlaka, kontakti, deformacije, potencialna teorija, kroglice, elipsoid
• Work type: Final paper
• Typology: 2.11 - Undergraduate Thesis
• Organization: FS - Faculty of Mechanical Engineering
• Place of publishing: Ljubljana
• Publisher: [K. Sterle]
• Year: 2019
• Number of pages: XII, 32 f.
• PID: 20.500.12556/RUL-108766
• UDC: 534:539.37(043.2)
• COBISS.SI-ID: 16732187
• Publication date in RUL: 20.07.2019

Secondary language

• Language: English
• Title: Analytical derivation of Hertzian contact theory and analysis of parameters

Abstract

Final work includes analytical derivation of a contact between two bodies and the pressure distribution in the contact, as a result of the normal force. The influence of material and geometric parameters on the calculation of the maximum pressure and the size of the contact is also considered. Comparison between Hertzian derivation and the simplified derivation of pressure distribution is represented in the conclusion. The simplified derivation was lectured in the third year of a research program at the Faculty of Mechanical Engineering.

• Keywords: Hertzian pressure, pressure distribution, contacts, deformations, potential theory, balls, ellipsoid