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Title: On kinematic singularities of low dimension.
Author: Hobbs, Catherine Ann.
ISNI:       0000 0001 3579 462X
Awarding Body: University of Liverpool
Current Institution: University of Liverpool
Date of Award: 1993
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This thesis is an investigation into the types of singularities that can appear on trajectories of rigid motions, kinematic singularities, motivated by problems in mechanical engineering of designing mechanisms. Here we consider rigid motions of the plane and space with one and two degrees of freedom. In order to study these singularities weprove a multi-germ transversality result and also a result about the restrictions on the codimension of the singularity given by the number of degrees of freedom of the motion. Some of the classifications of the singularities we are interested in have already been completed but all the simple singularities of space curves and also most of the multi-germs, both of the plane and of space, are classified here. We also study the unfoldings and bifurcation sets of all the kinematic singularities on our lists.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: Pure mathematics