Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Simulering av inverterad pendel med analytisk mekanik
KTH, School of Engineering Sciences (SCI).
KTH, School of Engineering Sciences (SCI).
2019 (Swedish)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesisAlternative title
Simulated inverted pendulum using analytical mechanics (English)
Abstract [sv]

Analytisk mekanik är ett alternativ till klassisk (Newtonsk) mekanik för att beräkna rörelsen av partiklar och system av partiklar. I den här rapporten analyserar vi tre olika mekaniska system med analytisk mekanik. Vi implementerar sedan detta i den maple-baserade programvaran "Sophia" för att ytterligare analysera hur ändringar av vissa parametrar förändrar systemets beteende. Ett av våra huvudsyften med den här rapporten är att studera stabiliteten hos en inverterad pendel. År 1951 fann den ryska fysikern Pyotr Kapitza att pendeln kunde stabiliseras i dess upp-och-ner-läge genom att tvinga den till en snabb vertikal svängning. Vi studerar gränserna för denna stabilitet och undersöker om pendeln istället kan stabiliseras genom en elliptisk svängning.

Abstract [en]

Analytical mechanics is an alternative to Classical (Newtonian) mechanics for calculating the movement of particles and systems of particles. In this paper we analyze three different mechanical systems using analytical mechanics. We then implement this into the maple based software "Sophia" to further analyze how changing some of the parameters alter the behavior of the system. One of our main focuses in the report is studying the stability of an inverted pendulum. In 1951 the Russian physicist Pyotr Kapitza, figured out that the pendulum could be stabilized in the upside-down position by forcing it into a rapid vertical oscillation. We examine the boundaries of this stability and explore if the pendulum can instead be stabilized using an elliptical oscillation

 

Place, publisher, year, edition, pages
2019.
Series
TRITA-SCI-GRU ; 2019:196
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:kth:diva-255691OAI: oai:DiVA.org:kth-255691DiVA, id: diva2:1341285
Supervisors
Examiners
Available from: 2019-08-08 Created: 2019-08-08 Last updated: 2019-08-08Bibliographically approved

Open Access in DiVA

fulltext(914 kB)13 downloads
File information
File name FULLTEXT01.pdfFile size 914 kBChecksum SHA-512
a02a63d8001e176a7a8b7f9241352f98f17c4cb5b3b428f1d6ac5aea1a1348668e1776fab5036b7481706788356fbc7d8eae0fdadf5ea8317fd1a48fd39e72e1
Type fulltextMimetype application/pdf

By organisation
School of Engineering Sciences (SCI)
Engineering and Technology

Search outside of DiVA

GoogleGoogle Scholar
Total: 13 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

urn-nbn

Altmetric score

urn-nbn
Total: 37 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf