Loughborough University
Leicestershire, UK
LE11 3TU
+44 (0)1509 263171
Loughborough University

Loughborough University Institutional Repository

Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/5860

Title: From multi-body to many-body dynamics
Authors: Theodossiades, Stephanos
Teodorescu, M.
Rahnejat, Homer
Keywords: Multi-body dynamics
Many-body dynamics
Boundary elements
Component mode synthesis
Elasto-acoustic coupling
Molecular dynamics
Meniscus action
Issue Date: 2009
Publisher: Professional Engineering Publishing / © IMechE
Citation: THEODOSSIADES, S., TEODORESCU, M. and RAHNEJAT, H., 2009. From multi-body to many-body dynamics. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 223(12), pp. 2835-2847
Abstract: This article provides a brief historical review of multi-body dynamics analysis, initiated by the Newtonian axioms through constrained (removed degrees of freedom) Lagrangian dynamics or restrained (resisted degrees of freedom) Newton–Euler formulation. It provides a generic formulation method, based on system dynamics in a reduced configuration space, which encompasses both the aforementioned methods and is applicable to any cluster of material points. A detailed example is provided to show the integration of other physical phenomena such as flexibility and acoustic wave propagation into multi-body dynamics analysis. It is shown that in the scale of minutiae, when the action potentials deviate from Newtonian laws, the forces are often described by empirical or stochastic functions of separation and the medium of interactions. These make for complex analyses and distinguish a host of many body problems from Newtonian laws of motion. A simple example is provided to demonstrate this. It is suggested that unification of many-body analysis with that of multi-body dynamics is incumbent on the fundamental understanding of interaction potentials at close separations.
Description: This article was published in the journal, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science [© Professional Engineering Publishing]. It is also available at: http://dx.doi.org/10.1243/09544062JMES1688
Version: Published
DOI: 10.1243/09544062JMES1688
URI: https://dspace.lboro.ac.uk/2134/5860
ISSN: 0954-4062
Appears in Collections:Published Articles (Mechanical, Electrical and Manufacturing Engineering)

Files associated with this item:

File Description SizeFormat
Theodossiades.pdf593.12 kBAdobe PDFView/Open


SFX Query

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.