Numerično modeliranje geometrijsko nelinearnega mehanskega odziva mikrostikala

Šmerc, Rok (author), Halilovič, Miroslav (mentor)

Princip delovanja mikrostikal temelji na geometrijsko nelinearnem mehanskem odzivu, saj se preklop električnih kontaktov, s čimer se sklene ali prekine električni krog, zgodi zaradi preskoka sistema notranjega kovinskega mehanizma mikrostikala. V magistrskem delu so predstavljeni teoretično ozadje in pristopi pri obravnavi mehanskega odziva geometrijsko nelinearnih konstrukcij z uporabo metode končnih elementov. Prikazana je izpeljava formulacije geometrijsko nelinearnih končnih elementov za reševanje linijskih konstrukcij in njihova implementacija v lastno razviti program v programskem okolju Wolfram Mathematica. Pravilnost delovanja je preverjena z analitično rešljivimi primeri. S programom je izvedena analiza delovanja kovinskega mehanizma mikrostikala. Prikazan je proces prednapetja pločevine, iz katere je mehanizem izdelan, nato pa je izvedena analiza vpliva različnih stopenj prednapetja na delovanje mehanizma.

• Language: Slovenian
• Keywords: numerično modeliranje, metoda končnih elementov, geometrijska nelinearnost, mehanski odziv, preskok sistema, linijske konstrukcije, mikrostikala, ko-rotacijska formulacija, Wolfram Mathematica
• Work type: Master's thesis/paper
• Typology: 2.09 - Master's Thesis
• Organization: FS - Faculty of Mechanical Engineering
• Place of publishing: Ljubljana
• Publisher: [R. Šmerc]
• Year: 2019
• Number of pages: XXVIII, 73 str.
• PID: 20.500.12556/RUL-109706
• UDC: 621.316.54:004.942.519.61(043.2)
• COBISS.SI-ID: 16929051
• Publication date in RUL: 07.09.2019

ŠMERC, Rok, 2019, Numerično modeliranje geometrijsko nelinearnega mehanskega odziva mikrostikala [online]. Master’s thesis. Ljubljana : R. Šmerc. [Accessed 27 March 2025]. Retrieved from: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=eng&id=109706

Secondary language

• Language: English
• Title: Numerical modelling of geometrically nonlinear mechanical response of a micro-switch

Abstract

Working principle of micro-switches is based on geometrically nonlinear mechanical response, since the switch of electrical contacts, whereby the electrical circuit is connected or interrupted, occurs due to the snap-through of the inner metal mechanism of the micro-switch. The master's thesis introduces theoretical background and approaches when discussing the mechanical response of the geometrically nonlinear structures by applying the finite element method. The derivation of the formulation of geometrically nonlinear finite elements to solve frame structures is introduced, as well as their implementation in the own developed program in the software environment Wolfram Mathematica. The correct functioning is examined with analytically solvable examples. The function analysis of the metal mechanism of the micro-switch is carried out with the program. The process of prestressing the metal sheet, from which the mechanism is made is shown, and then the analysis of different levels of prestress on the mechanism’s functioning is carried out.

• Keywords: numerical modelling, finite element method, geometric nonlinearity, mechanical response, snap-through, frame structures, micro-switches, co-rotational formulation, Wolfram Mathematica