An appropriate substructuring methodology is applied in order to study the dynamic response of very large scale mechanical systems. The emphasis is put on enabling a systematic study of dynamical systems with nonlinear characteristics, but the method is equally applicable to systems possessing linear properties. The accuracy and effectiveness of the methodology are illustrated by numerical results obtained for example vehicle models, having a total number of degrees of freedom lying in the order of a million or even bigger. First, the equations of motion of each component are set up by applying the finite element method. The order of the resulting models is so high that the classical substructuring methodologies become numerically ineffective or practically impossible to apply. However, the method developed overcomes these difficulties by imposing a further, multilevel substructuring of each component, based on the sparsity pattern of the stiffness matrix. In this way, the number of the equations of motion of the complete system is substantially reduced. Consequently, the numerical results presented demonstrate that besides the direct computational savings, this reduction in the dimensions enables the application of numerical codes, which capture response characteristics of dynamical systems sufficiently accurate up to a prespecified level of forcing frequencies. The study concludes by investigating biodynamic response of passenger-seat subsystem models coupled with complex mechanical models of ground vehicles resulting from deterministic or random road excitation.
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January 2007
Research Papers
Dynamics of Large Scale Mechanical Models Using Multilevel Substructuring
C. Papalukopoulos,
C. Papalukopoulos
Department of Mechanical Engineering,
Aristotle University
, 54 124 Thessaloniki, Greece
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S. Natsiavas
S. Natsiavas
Department of Mechanical Engineering,
e-mail: natsiava@auth.gr
Aristotle University
, 54 124 Thessaloniki, Greece
Search for other works by this author on:
C. Papalukopoulos
Department of Mechanical Engineering,
Aristotle University
, 54 124 Thessaloniki, Greece
S. Natsiavas
Department of Mechanical Engineering,
Aristotle University
, 54 124 Thessaloniki, Greecee-mail: natsiava@auth.gr
J. Comput. Nonlinear Dynam. Jan 2007, 2(1): 40-51 (12 pages)
Published Online: July 4, 2006
Article history
Received:
February 1, 2006
Revised:
July 4, 2006
Citation
Papalukopoulos, C., and Natsiavas, S. (July 4, 2006). "Dynamics of Large Scale Mechanical Models Using Multilevel Substructuring." ASME. J. Comput. Nonlinear Dynam. January 2007; 2(1): 40–51. https://doi.org/10.1115/1.2389043
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