Modelling of kinematic higher pairs by lower pairs

Kinematic joints are classified in lower pairs and higher pairs. Most multibody modelling techniques focus on lower pairs, because a complete classification in six types is available. Higher pairs are more diverse. In this article, higher pairs that can be exactly modelled by lower pairs are investi...

Full description

Saved in:
Bibliographic Details
Published in:Mechanism and machine theory 2024-01, Vol.191, p.105515, Article 105515
Main Author: Meijaard, J.P.
Format: Article
Language:English
Subjects:
Bicycle
Classification
Higher pairs
Kinematic joints
Lower pairs
Railway wheelset
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Kinematic joints are classified in lower pairs and higher pairs. Most multibody modelling techniques focus on lower pairs, because a complete classification in six types is available. Higher pairs are more diverse. In this article, higher pairs that can be exactly modelled by lower pairs are investigated. A complete classification of higher pairs that can be modelled by a chain of five single-degree-of-freedom lower pairs with a central revolute joint at the contact point is proposed. Two-dimensional cases and surfaces with discontinuities are also considered. The equivalent chains can be used for exact and approximate modelling of higher pairs and as design alternatives. Illustrative examples and applications to a bicycle on toroidal wheels and a railway wheelset on a roller rig are shown. •Some higher kinematic pairs can be modelled by lower pairs.•For this, a chain with five single-degree-of-freedom lower-pair joints is used.•A classification of surfaces in contact that can so be modelled is given.•Applications to a bicycle and a railway wheelset on a roller rig are shown.
ISSN:0094-114X
DOI:10.1016/j.mechmachtheory.2023.105515