A Topology-Based Approach to Exploiting Sparsity in Multibody Dynamics: Joint FormulationFootnote*

*Communicaled by E.J. Hung

REFERENCES

• R. Serban , D. Negrut , F. A. Potra , and E.J. Haug , A topology-based approach for exploiting sparsity in multibody dynamics in Cartesian formulation , Mech. Struct. & Mach. 25 ( 3 ). in press .
   Google Scholar
• K. E. Brenan , S. L. Campbell , and L. R. Petzold , Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations , Elsevier , 1989 .
   Google Scholar
• E. Eich , C. Fuhrer , B. Leimkuhler , and S. Reich , Stabilization and Projection Methods for Multi-body Dynamics , Research Report A281 , Helsinki University of Technology, Institute of Mathematics , Espoo , Finland , 1990 .
   Google Scholar
• E. Hairer and G. Wanner , Solving Ordinary Differential Equations II Stiff and Differential-Algebraic Problems , Springer-Verlag , Berlin , 1991 .
   Google Scholar
• F. A. Potra , Numerical methods for differential-algebraic equation with application to real time simulation of mechanical systems, Zeitschrift fur Angewandte Mathematik und Mechanik (ZAMM) 74 ( 3 ) 177 – 187 ( 1994 ).
   Google Scholar
• R.A. Wehage and E. J. Haug , Generalized coordinate partitioning for dimension reduction in analysis of constrained dynamic system , ASME J. of Mechanical Design 104 ( 1 ) 247 ( 1982 ).
   Web of Science ®Google Scholar
• F. F. Tsai , Automated methods for high-speed simulation of multibody dynamic system , Ph.D. Thesis , The University of Iowa , 1983 .
   Google Scholar
• E. J. Haug , Computer-Aided Kinematics and Dynamics of Mechanical Systems, Volume I Basic Methods , Allyn and Bacon , Needham , Massachusetts , 1989 .
   Google Scholar
• NADS Vehicle Dynamics Software , Vol. 2 , Release 4 , CCAD, The University of Iowa , 1995 .
   Google Scholar
• G. H. Golub and C. F. Van Loan , Matrix Computation , John Hopkins University Press , 1989 .
   Google Scholar
• LAPACK Users' Guide , SIAM , 1992 .
   Google Scholar
• Harwell Subroutine Library , Release 12 , AEA Technology, Harwell Laboratory , Oxfordshire , England , 1995 .
   Google Scholar
• *Communicaled by E.J. Hung
   Google Scholar