Second-order sensitivity analysis of multibody systems described by differentialz/algebraic equations: adjoint variable approach

References

• Bischof , C. H. 1996 . IUTAM Symposium on Optimization of Mechanical Systems , Edited by: Bestle , D. and Schiehlen , W. Dordrecht : Kluwer Academic Publishers .
   Google Scholar
• Eberhard , P. Proceedings of the Second International Workshop on Computational Differentiation . Santa Fe, NM : SIAM .
   Google Scholar
• Haug , E. J. , Mani , N. K. and Krishnasawami , P. 1984 . Computer Aided Analysis and Optimization of Mechanical System Dynamics , Edited by: Haug , E. J. Berlin Heidelberg : Springer-Verlag .
   Google Scholar
• Anderson , K. S. and Hsu , Y. H. 2002 . Analytical full-recursive sensitivity analysis for multibody chain systems . Multibody Systems Dynamics , 8 : 1 – 27 .
   Web of Science ®Google Scholar
• Haug , E. J. and Sohoni , V. N. 1984 . Computer Aided Analysis and Optimization of Mechanical System Dynamics , Edited by: Haug , E. J. Berlin Heidelberg : Springer-Verlag .
   Google Scholar
• Haug , E. J. , Wehage , R. A. and Barman , N. C. 1981 . Design sensitivity analysis of planar mechanism and machine dynamics . Journal of Mechanical Design , 103 ( 3 ) : 560 – 570 .
   Web of Science ®Google Scholar
• Haug , E. J. and Ehle , P. E. 1982 . Second order design sensitivity analysis of mechanical system dynamics . International Journal for Numerical Methods in Engineering , 18 : 1699 – 1717 .
   Web of Science ®Google Scholar
• Serban , R. and Haug , E. J. 1998 . kinematic and kinetic derivatives in multibody system analysis . Mechanics of Structures and Machines , 26 ( 2 ) : 145 – 173 .
   Web of Science ®Google Scholar
• Serban , R. and Freeman , J. S. 2001 . Identification and identifiability of unknown parameters in multibody dynamic systems . Multibody System Dynamics , 5 ( 4 ) : 575 – 582 .
   Google Scholar
• Etman , L. F.P. 1997 . “ Optimization of multibody systems using approximation concepts ” . Eindhoven : Technische Universiteit . PhD Thesis
   Google Scholar
• Maly , T. and Petzold , L. R. 1996 . Numerical methods and software for sensitivity analysis of differential algebraic equations . Applied Numerical Mathematics , 20 ( 1–2 ) : 57 – 79 .
   Web of Science ®Google Scholar
• Hsu , Y. H. and Anderson , K. S. 2001 . Low operational order analytic sensitivity analysis for tree-type multibody dynamic systems, AIAA Journal of Guidance . Control and Dynamics , 24 ( 6 ) : 1133 – 1143 .
   Google Scholar
• Hsu , Y. H. and Anderson , K. S. 2002 . Recursive sensitivity analysis for constrained multi-rigid-body dynamic systems design optimization . Structural and Multidisciplinary Optimization , 24 ( 4 ) : 312 – 324 .
   Google Scholar
• Bestle , D. and Eberhard , P. 1992 . Analyzing and optimizing multibody systems . Mechanics of Structures & Machines , 20 : 67 – 92 .
   Web of Science ®Google Scholar
• Bestle , D. and Seybold , J. 1992 . Sensitivity analysis of constrained multibody systems . Archive of Applied Mechanics , 62 : 181 – 190 .
   Web of Science ®Google Scholar
• Cao , Y. , Li , S. and Petzold , L. 2002 . Adjoint sensitivity analysis for differential-algebraic equations: algorithms and software . Journal of Computational and Applied Mathematics , 149 : 171 – 191 .
   Web of Science ®Google Scholar
• Li , S. , Petzold , L. R. and Zhu , W. 2000 . Sensitivity analysis of differential-algebraic equations: a comparison of methods on a special problem . Applied Numerical Mathematics , 32 ( 2 ) : 161 – 174 .
   Google Scholar
• Dias , J. M.P. and Pereira , M. S. 1997 . Sensitivity analysis of rigid-flexible multibody systems . Multibody System Dynamics , 1 : 303 – 322 .
   Google Scholar
• Li , X. 1996 . Sensitivity analysis of constrained fexible multibody systems with stability considerations . Mechanism and Machine Theory , 31 ( 7 ) : 859 – 863 .
   Google Scholar