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Using Bezier-Splines for Design Optimization of CAMS Regarding Valve Train Dynamics

[+] Author Affiliations
R. Scheucher

Industrial Mathematics Competence Center

W. Hellinger

AVL List GmbH

Paper No. IMECE2005-79865, pp. 881-889; 9 pages
  • ASME 2005 International Mechanical Engineering Congress and Exposition
  • Design Engineering, Parts A and B
  • Orlando, Florida, USA, November 5 – 11, 2005
  • Conference Sponsors: Design Engineering Division
  • ISBN: 0-7918-4215-0 | eISBN: 0-7918-3769-6
  • Copyright © 2005 by ASME


The aim of this work is the improvement of the cam design for automotive valve trains. A constrained optimization problem is defined, using the control points of the cam profile, which is represented by harmonic splines, as design variables. Additionally to the optimization problem the advantages of the calculation of sensitivity information using direct or adjoint methods are determined. The valve train model is defined by a multi body system containing discontinuities due to the loss of contact between two consecutive components of the valve train. The objective function is to maximize the area below the valve lift, which has a great influence on the gas flow. Constraints for dynamic force, the valve opening and closing phase and the valve lift based on the engine’s thermodynamics considerations are taken into account. Furthermore some constraints for the geometric coordinates of the control points of the cam profile must be imposed.

Copyright © 2005 by ASME



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