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
Holonomic versus nonholonomic constraints
Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering.
2012 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

Courses in analytical mechanics for undergraduate students are often limited to treatment of holonomic constraints, which are constraints on coordinates. The concept of nonholonomic constraints, constraints on velocities, is usually only mentioned briefly and it is easy to get a wrongful idea of what they are and how to treat them. This text explains and compares the methods of deriving the Euler-Lagrange equations and the consequences when imposing different kinds of constraints. One way to properly treat both holonomic and nonholonomic constraints is given, pinpointing the difficulties and common errors. Along the way, the treatment in local coordinates is also put in more modern terms, in the language of differential geometry, which is the language most commonly used in modern texts on the subject.

Place, publisher, year, edition, pages
2012. , 42 p.
Keyword [en]
analytical mechanics, classical mechanics, lagrangian, d'alembert's principle, hamilton's principle, holonomic, nonholonomic, constraints, differential geometry, fibre bundle, curvature, falling disc
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kau:diva-13378Local ID: FYS C-2OAI: oai:DiVA.org:kau-13378DiVA: diva2:528335
Subject / course
Physics
Presentation
2012-05-22, 21D304, Karlstads universitet, Karlstad, 10:15 (English)
Uppsok
Physics, Chemistry, Mathematics
Supervisors
Examiners
Available from: 2012-06-07 Created: 2012-05-24 Last updated: 2012-06-15Bibliographically approved

Open Access in DiVA

Flygare_Studentuppsats(1299 kB)15436 downloads
File information
File name FULLTEXT02.pdfFile size 1299 kBChecksum SHA-512
42d2e83da9bb3973f34721275394084a14b4a06bef97b51c956eddb7c2d62f4409ced9403b5d760bd76489ebba5bd2e6f306712639e535e54d14c57a4d9a9ac3
Type fulltextMimetype application/pdf

Search in DiVA

By author/editor
Flygare, Mattias
By organisation
Department of Physics and Electrical Engineering
Physical Sciences

Search outside of DiVA

GoogleGoogle Scholar
Total: 15436 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: 1500 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