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An automated modelling approach for dynamic performance evaluation of mechatronic multibody systems. (English) Zbl 1154.93309

Summary: An automated modelling approach of mechatronic multibody systems is presented in this paper. The proposed approach uses some object-oriented GUI modules to automatically generate the dynamic equations for different domains, solve them with numerical methods to obtain approximate solutions, and then evaluate the dynamic performances of the systems. By systematically defining an elementary linear graph and its general rules, the modules of mechanical parts and kinematic pairs can be modelled independently of special systems by the extensible elementary linear graph (EELG) method, and the member’s dynamic equations can be derived by topology matrices operation. Some major advantages of this procedure are as follows: the combinations of mechanical components could be dealt with as an integrated member and directly assembled with other modules, the topology structure of individual members are described by elementary cutset and circuit matrices derived from the elementary linear graph, rotation vector is used to express angular variables for analysing rotation and translation with same linear graph; the function vertices, opening edges, and self-closed edges are first introduced to elementary linear graph of kinematic pairs modelling, multiport for special mechanical members and different ports for various energy domains are defined, and relation equations linking the ports are given for interdisciplinary domains, so that the modules could have the characteristics of reapplication and extensibility. For two typical cases, the approach carried out on a Modelica/Dymola software platform is proved feasible by comparing the results using the EELG method with those of the conventional approach.

MSC:

93A30 Mathematical modelling of systems (MSC2010)
68R10 Graph theory (including graph drawing) in computer science

Software:

Dymola; Modelica
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References:

[1] Aubert , V. and Garcia-Sabiro , S. Paper presented at FDL 1999: 2nd Forum on Design Languages. September1 – 3, France.
[2] Broenink , J. F. Bond-graph modeling in Modelica.Simulation in Industry, Ninth European Simulation Symposium, ESS’97. October19 – 23, Passau, Germany. Edited by: Hahn , W. Lehmann , A. Borutzky , W. and Ziegler , H.
[3] Park H. C., Transactions of the Society for Computer Simulation International 15 pp 43– (1998)
[4] Roe P., Networks and Systems (1966)
[5] Koenig H. E., Analysis of Discrete Physical Systems (1967)
[6] DOI: 10.1016/0094-114X(75)90057-9 · doi:10.1016/0094-114X(75)90057-9
[7] DOI: 10.1115/1.3246930 · doi:10.1115/1.3246930
[8] Wittenburg , J. and Wolz , U. Paper presented at ASME Design Engineering Conference. September10 – 13, Cincinnati, OH.
[9] DOI: 10.1007/BF01833294 · doi:10.1007/BF01833294
[10] DOI: 10.1016/0094-114X(95)00064-6 · doi:10.1016/0094-114X(95)00064-6
[11] DOI: 10.1016/S0094-114X(97)00055-4 · Zbl 1049.70611 · doi:10.1016/S0094-114X(97)00055-4
[12] DOI: 10.1615/IntJMultCompEng.v1.i23.30 · doi:10.1615/IntJMultCompEng.v1.i23.30
[13] Shi , P. 1998. ”Flexible multibody dynamics: A new approach using virtual work and graph theory”. Waterloo, Canada: Systems Design Engineering, University of Waterloo. PhD thesis
[14] DOI: 10.1080/13873950412331318044 · Zbl 1145.70306 · doi:10.1080/13873950412331318044
[15] DOI: 10.1007/s11044-005-4577-1 · Zbl 1175.70008 · doi:10.1007/s11044-005-4577-1
[16] Han , L. Paredis , C. J.J. and Khosla , P. K. Paper presented at 2001 Summer Computer Simulation Conference. July15 – 19, Orlando, FL.
[17] DOI: 10.1016/S0010-4485(00)00016-6 · Zbl 05860745 · doi:10.1016/S0010-4485(00)00016-6
[18] Rowell D. 2004Linear Graph Modeling: Two-Port Energy Transducing ElementsCambridge , MA Department of Mechanical Engineering, Massachusetts Institute of Technology 1 26
[19] Rowell D. 2004Linear Graph Modeling: State Equation FormulationCambridge , MA Department of Mechanical Engineering, Massachusetts Institute of Technology 1 38
[20] DOI: 10.1076/mcmd.8.2.137.8591 · Zbl 1033.70001 · doi:10.1076/mcmd.8.2.137.8591
[21] Anderson , M. 1994. ”Object-oriented modeling and simulation of hybrid systems”. Lund, Sweden: Department of Automatic Control, Lund Institute of Technology. PhD thesis
[22] DOI: 10.1109/5254.846285 · Zbl 05094811 · doi:10.1109/5254.846285
[23] Sinha , R. Paredis , C. J.J. and Khosla , P. K. Paper presented at Proceedings 2000 IEEE/ACM International Workshop on Behavioral Modeling and Simulation. October19 – 20, Orlando, FL.
[24] DOI: 10.1016/S0957-4174(99)00040-8 · Zbl 01938788 · doi:10.1016/S0957-4174(99)00040-8
[25] Soejima , S. Examples of usage and the spread of Dymola within Toyota. Proceedings of the 1st Modelica Conference 2000. October23 – 242000. Modelica Workshop 2000 Proceedings, pp.55–60. Lund, Sweden: Lund University.
[26] Elmqvist , H. and Mattsson , S. E. Paper presented at the 12th European Simulation Multiconference. Manchester, UK.
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