Implicit Runge-Kutta Integration of the Equations of Multibody Dynamics in Descriptor Form

REFERENCES

• Atkinson , K. E. , An Introduction to Numerical Analysis , New York John Wiley & Sons , , 2nd Edition , 1989 .
   Google Scholar
• Corwin , L. J. , Szczarba , R. H. , Multivariable Calculus , New York Marcel Dekker . 1982 .
   Google Scholar
• Hairer , E. , Norsett S, P., Wanner , G. , Solving Ordinary Differential Equations I, Nonstiff Problems , Berlin Heidelberg New York Springer-Verlag , 1993 .
   Google Scholar
• Hairer , E. , Wanner , G. , Solving Ordinary Differential Equations II. Stiff and Differential-Algebraic Problems , Berlin Heidelberg New York Springer-Verlag , 1996 .
   Google Scholar
• Harwell subroutine library-Specifications , AEATechology, Harwell Laboratory , Oxfordshire , England , 1995 .
   Google Scholar
• Haug , E. J. , Computer-Aided Kinematics and Dynamics of Mechanical Systems , Boston Allyn and Bacon , 1989 .
   Google Scholar
• Haug , E. J. , lancu , M. , Negrul , D. , Implicit integration of the equations of multibody dynamics in descriptor form , in Advances in Design Automation-Proceedings of the ASME Design Automation Conference , Sacramento . 1997 .
   Google Scholar
• Haug , E. J. , Negrut , D. , lancu , M. , A State-space based implicit integration algorithm for differential-algebraic equations of multibody dynamics , Mech. Struct. & Mach. 25 ( 3 ) 311 – 334 , ( 1997 ).
   Web of Science ®Google Scholar
• Hughes , T. J. , The Finite Element Method , Prentice-Hall , Englewood Cliffs , New Jersey , 1987.
   Google Scholar
• Negrut , D. , On the Implicit Integration of Differential-Algebraic Equations of Multibody Dynamics , Ph.D. Thesis , The University of Iowa , 1998 .
   Google Scholar
• Petzold , L. R. , Differential/algebraic equations are not ODE's , SIAM Journal of Scientific and Statistical Computing 3 ( 3 ) 367 – 384 , ( 1982 ).
   Web of Science ®Google Scholar
• Serban , R. , and Haug , E. J. , Kinematic and kinetic derivatives in multibody system analysis , Mechanics of Structures and Machines . 26 ( 2 ), 145 – 173 , ( 1998 ).
   Web of Science ®Google Scholar
• Scrban , R. , Ncgrul , D. , Haug . E. J. , and Potra , F. A. , A topology based approach for exploiting sparsity in multibody dynamics in cartesian formulation , Mech. Struct. & Mach. , vol. 25 ( 3 ) 379 – 396 ( 1997 ).
   Google Scholar
• Shampinc , L. F. , Numerical Solution of Ordinary Differential Equations , Chapmann & Hall , New York , 1994 .
   Google Scholar
• Shampinc , L. F. , Gordon , M. K. , Computer Solution of Ordinary Differential Equations. The Initial Value Program , Freeman and Company , San Francisco , 1975 .
   Google Scholar
• Shampinc , L. F. , and Watts , H. A. , The art of writing a Runge-Kutta code II , Appl. Math. Comput. 5 93 – 121 , ( 1979 ).
   Google Scholar