Markus Schöberl, Kurt Schlacher,
"Intrinsic Modeling of Mechanical Systems Based on Geometry"
, in Troch I., Breitenecker F.: CD Proceedings 5th Vienna Symposium on Mathematical Modelling, Mathmod 2006, Serie ARGESIM Report, 2006, ISBN: 3-901608-30-3
Original Titel:
Intrinsic Modeling of Mechanical Systems Based on Geometry
Sprache des Titels:
Englisch
Original Buchtitel:
CD Proceedings 5th Vienna Symposium on Mathematical Modelling, Mathmod 2006
Original Kurzfassung:
The goal of this contribution is to show how differential geometric concepts appear in the context with mechanics. It will be pointed out how bundles and connections can be used to describe the concept of a space-time and to derive the velocity and the acceleration of a mass point in an intrinsic manner compatible with bundle morphisms that involve time explicitly. Furthermore the equations of motion will be derived using a covariant derivative which is constructed out of a special dynamic connection which is an extension of the well known Levi-Civita connection of classical mechanics. We will extend this intrinsic concepts to the case of a continuum and furthermore we will show how the partial differential equations that appear can be reduced to describe a rigid body motion.
Sprache der Kurzfassung:
Englisch
Serie:
ARGESIM Report
Erscheinungsjahr:
2006
ISBN:
3-901608-30-3
Anzahl der Seiten:
10
Notiz zur Publikation:
Schöberl M., Schlacher K.: Intrinsic Modeling of Mechanical Systems Based on Geometry In: CD Proceedings 5th Vienna Symposium on Mathematical Modelling, Mathmod 2006, February 8-10 2006, Vienna, Austria, ISBN: 3-901608-30-3, 2006.
Forschungs-