A symbolic approach to the multi-body modelling of road vehicles
A symbolic approach to the multi-body modelling of road vehicles
This paper introduces MBSymba, an object-oriented language for the modelling of multibody systems and the automatic generation of equations of motion in symbolic form. MBSymba has built upon the general-purpose computer algebra software Maple and it is freely available for teaching and research purposes.
With MBSymba, objects such as points, vectors, rigid bodies, forces and torques, and the relationships among them may be defined and manipulated both at high and low levels. Absolute, relative or mixed coordinates may be used, as well as combination of infinitesimal and non-infinitesimal variables.
Once the system has been modelled, Lagrange's and/or Newton's equations can be derived in a quasi-automatic way, either in an inertial or non-inertial reference frame. Equations can be automatically converted into Matlab, C/C++ or Fortan code to produce stand alone, numerically optimized simulation code.
MBSymba is particularly suited for the modelling of ground, water or air vehicles; therefore, the mathematical model of a passenger car with trailer is illustrated as a case study. Time domain simulations, steady state analysis and stability results are also presented.
Symbolic Multibody; Vehicle Dynamics and Control
Lot, Roberto
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Massaro, Matteo
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Lot, Roberto
ceb0ca9c-6211-4051-a7b8-90fd6f0a6d78
Massaro, Matteo
45a19270-c4ed-4db3-bb1b-7afa718460b1
Lot, Roberto and Massaro, Matteo
(2017)
A symbolic approach to the multi-body modelling of road vehicles.
International Journal of Applied Mechanics, 9 (5), [1750068].
(doi:10.1142/S1758825117500685).
Abstract
This paper introduces MBSymba, an object-oriented language for the modelling of multibody systems and the automatic generation of equations of motion in symbolic form. MBSymba has built upon the general-purpose computer algebra software Maple and it is freely available for teaching and research purposes.
With MBSymba, objects such as points, vectors, rigid bodies, forces and torques, and the relationships among them may be defined and manipulated both at high and low levels. Absolute, relative or mixed coordinates may be used, as well as combination of infinitesimal and non-infinitesimal variables.
Once the system has been modelled, Lagrange's and/or Newton's equations can be derived in a quasi-automatic way, either in an inertial or non-inertial reference frame. Equations can be automatically converted into Matlab, C/C++ or Fortan code to produce stand alone, numerically optimized simulation code.
MBSymba is particularly suited for the modelling of ground, water or air vehicles; therefore, the mathematical model of a passenger car with trailer is illustrated as a case study. Time domain simulations, steady state analysis and stability results are also presented.
Text
Lot&Massaro - MBSymba [Accepted Manuscript]
- Accepted Manuscript
More information
Accepted/In Press date: 29 May 2017
e-pub ahead of print date: 17 August 2017
Keywords:
Symbolic Multibody; Vehicle Dynamics and Control
Organisations:
Energy Technology Group
Identifiers
Local EPrints ID: 411614
URI: http://eprints.soton.ac.uk/id/eprint/411614
ISSN: 1758-8251
PURE UUID: eebd6583-7472-497b-8459-d39591062caa
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Date deposited: 21 Jun 2017 16:31
Last modified: 16 Mar 2024 05:28
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Contributors
Author:
Roberto Lot
Author:
Matteo Massaro
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