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An Efficient Multibody Dynamics Model for Internal Combustion Engine Systems

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Abstract

The equations of motion for the major components in an internalcombustion engine are developed herein using a recursive formulation.These components include the (rigid) engine block, pistons, connectingrods, (flexible) crankshaft, balance shafts, main bearings, and enginemounts. Relative coordinates are employed that automatically satisfy allconstraints and therefore lead to the minimum set of ordinarydifferential equations of motion. The derivation of the equations ofmotion is automated through the use of computer algebra as the precursorto automatically generating the computational (C or Fortran) subroutinesfor numerical integration. The entire automated procedure forms thebasis for an engine modeling template that may be used to supportthe up-front design of engines for noise and vibration targets.This procedure is demonstrated on an example engine under free(idealized) and firing conditions and the predicted engine responses arecompared with results from an ADAMS model. Results obtained by usingdifferent bearing models, including linear, nonlinear, and hydrodynamicbearing models, are discussed in detail.

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Authors and Affiliations

  1. Department of Mechanical Engineering, The University of Michigan, Ann Arbor, MI, 48109, U.S.A.

    Zheng-Dong Ma & Noel C. Perkins

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  1. Zheng-Dong Ma
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  2. Noel C. Perkins
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Ma, ZD., Perkins, N.C. An Efficient Multibody Dynamics Model for Internal Combustion Engine Systems. Multibody System Dynamics 10, 363–391 (2003). https://doi.org/10.1023/A:1026276619456

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