Configuration sensitivity analysis of mechanical dynamics

  • Bae, Daesung (Department of Mechanical Engineering Hanyang University Ansan, South Korea)
  • Published : 2001.02.01

Abstract

Design sensitivity is an important is an important device in improving a mechanical system design. A continuum design consists of the shape and orientation design. This research develops the shape and orientation design sensitivity method. The configura-tion design variables of multibody systems define the shape and orientation changes. The equations of motion are directly differentiated to obtain the governing equations for the design sensitivity. The governing equation of the design sensitivity is formulated as an over determined differential algebraic equation and treated as ordinary differential equations on mani-folds. The material derivative of a domain functional is performed to obtain the sensitivity due to shape and orientation changes. The configuration design sensitivities of a fly-ball governor system and a spatial four bar mechanism are obtained using the proposed method and are validated against those obtained from the finite difference method.

Keywords

References

  1. Mechanism Design: Analysis and Synthesis v.1 A.G. Erdman;G.N. Sandor
  2. ASME Design Engineering Technical Conferences and Computers in Engineering Conference, 96-DETC/DAC-1471 Kinematic Sensitivity Analysis of The Spatial Four Bar Mechanism H.L. Zou;A.M. Karim;J. Wang
  3. ASME Design Engineering Technical Conferences and Computers in Engineering Conference, 96-DETC/DAC-1087 Direct Differentiation Methods for The Design Sensitivity of Multibody Dynamic Systems R. Serban;J.S. Freeman
  4. Optimal Control : basic and beyond P. Whittle
  5. Mathematics in Science and Engineering v.177 Design Sensitivity Analysis of Structural Systems E.J. Haug;K.K. Choi;V. Komkov
  6. presented at the 15th ASME Design Automation Conference Sizing Design Sensitivity Analysis of Dynamic Frequency Response of Vibrating Structure K.K. Choi;J.H. Lee
  7. Technical Report R-91, Center for Simulation and Design Optimization of Mechanical Systems Configuration Design Sensitivity Analysis Optimization of Built-up Structures S.L. Twu;K.K. Choi
  8. ASME Design Engineering Technical Conferences and Computers in Engineering Conference, 96-DETC/MECH v.1172 Analytical Criteria for Analysis of Design Propagations in Mechanisms H.L. Zou;A.M. Karim;J.Y. Wang
  9. Computer-Aided Analysis of Mechanical Systems P.E. Nikravesh
  10. Computer-Aided Kinematics and Dynamics of Mechanical Systems Basic Method E.J. Haug
  11. Mechanics of Structures and Machines v.27 no.2 Confuguration Design Sensitivity Analysis of Kinematic Responses of Mechanical Systems H.W. Kim;D.S. Bae;K.K. Choi
  12. Technical Report R-92, Center for Simulation and Design Optimization, Department of Mechanical Engineering, and Department of Mathematics Numerical Method for Constrained Equations of Motion in Mechanical Systems Dynamics J. Yen;E.J. Haug;F.A. Potra
  13. Mechanics of Structures and Machines v.27 no.2 A Decoupling Solution Method for Implicit Numerical Integration of Constrained Mechanical System D.S.Bae;H.W. Kim;H.H. Yoo;M.S. Suh