Adaptive Geometric Numerical Integration of Mechanical Systems

This thesis is about structure preserving numerical integration of initial value problems, i.e., so called geometric numerical integrators. In particular, we are interested in how time-step adaptivity can be achieved in conjunction with structure preserving properties without destroying the good long time integration properties which are typical for geometric integration methods. As a specific application we consider dynamic simulations of rolling bearings and rotor dynamical problems. The work is part of a research collaboration between SKF (www.skf.com) and the Centre of Mathematical Sciences at Lund University.

Grantor dc:publisher

Matematikcentrum

Year dc:date

2009

Author dc:creator

• Modin, Klas

• Mathematical Sciences
• multibody dynamics
• Geometric numerical integration
• rolling bearing simulation
• adaptive time-stepping
• variable time-step

Statement dc:rights

• info:eu-repo/semantics/openAccess

Language dc:language

eng

Identifier

urn:isbn:978-91-628-7778-1

OAI identifier oai:identifier

oai:lup.lub.lu.se:b5a38a5c-9c1c-438c-9bb6-edc33cdf2ae0