Deformacija elastičnega nosilca v nehomogenem magnetnem polju

Jurkovič, Tomaž (author), Brojan, Miha (mentor)

V zaključni nalogi smo obravnavali konzolno vpete nosilce in analizirali njihove deformacije glede na različne vrste obremenitev, kot so konservativne sile in dodana magnetna polja. Matematične modele smo izpeljali na podlagi Euler-Bernoullijevih predpostavk in teorije deformacij tretjega reda ter elastične in magnetne potencialne energije nosilca. Za simulacijo spremenljivega magnetnega polja smo izpeljali enačbe magnetnega polja vodnika v zanki, po katerem teče električni tok. Na koncu smo prikazali model upogiba nosilca spremenljivega prereza v nehomogenem magnetnem polju.

• Language: Slovenian
• Keywords: elastični nosilec, magnetno polje, trdi magneti, matematični model, nelinearne deformacije
• Work type: Final paper
• Typology: 2.11 - Undergraduate Thesis
• Organization: FS - Faculty of Mechanical Engineering
• Place of publishing: Ljubljana
• Publisher: [T. Jurkovič]
• Year: 2024
• Number of pages: XI, 27 str.
• PID: 20.500.12556/RUL-160204
• UDC: 539.37:624.072.2:537.612(043.2)
• COBISS.SI-ID: 211412739
• Publication date in RUL: 23.08.2024

Secondary language

• Language: English
• Title: Deformation of an elastic beam in a nonhomogeneous magnetic field

Abstract

In this work, we analyzed deformations of cantilever beams, caused by conservative forces and applied magnetic fields. We derived mathematical models according to the Euler-Bernoulli presumptions, deformation theory of the third order and elastic and magnetic potential energy of beams. For the simulation of a nonhomogenous magnetic field, we derived equations for a magnetic field, caused by an electrically loaded wire in the shape of a loop. Finally, we presented a deformation model of a beam with a nonconstant cross section in a nonhomogenous magnetic field.

• Keywords: elastic beam, magnetic field, hard magnets, mathematical model, nonlinear deformations