A New Software Approach for the Simulation of Multibody Dynamics

[+] Author and Article Information
Dmitry Vlasenko

Institute of Mobile Systems (IMS), Otto-von-Guericke-University Magdeburg, Universitätsplatz 2, D-39106 Magdeburg, Germanydmitri.vlasenko@Masch-bau.uni-magdeburg.de

Roland Kasper

Institute of Mobile Systems (IMS), Otto-von-Guericke-University Magdeburg, Universitätsplatz 2, D-39106 Magdeburg, Germanyroland.kasper@mb.uni-magdeburg.de

J. Comput. Nonlinear Dynam 2(3), 274-278 (Jan 18, 2007) (5 pages) doi:10.1115/1.2734182 History: Received September 20, 2006; Revised January 18, 2007

This paper introduces a new modular software approach combining symbolical and numerical methods for the simulation of the dynamics of mechanical systems. It is based on an exact, noniterative object-oriented algorithm, which is applicable to mechanisms with any joint type and any topology, including branches and kinematic loops. The simulation of big well-partitioned systems has complexity O(N), where N is the total number of simulated bodies. A new design software Virtual System Designer (VSD) integrates this method with the three-dimensional computer aided design tool Autodesk Inventor, which minimizes the cost of the development of models and the training of design engineers. The most time-expensive routine of the simulation process in VSD is the calculation of the accelerations of each body, which needs to find the roots of matrix equations. Accounting for the sparsity of matrices can significantly improve the numerical efficiency of the routine. The preprocessing module, developed using Maple software, performs the symbolic simplification of the matrix multiplication’s and QR decomposition’s procedures. The new coordinate projection method is demonstrated. The results of the simulation of the dynamics of a double insulator chain example show the method’s stability and effectiveness.

Copyright © 2007 by American Society of Mechanical Engineers
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Figure 1

Data flow in simulation steps

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Figure 2

Hierarchical calculation of the accelerations

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Figure 3

Car model specified using CAD tool

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Figure 4

Structure of the matrix A of the car model

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Figure 5

Double insulator chain model

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Figure 6

y coordinate of the triangular distance holder

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Figure 7

Permutated matrices of the double insulator chain example: (a)G; and (b)GT




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