A General Approach to Stress Stiffening Effects on Flexible Multibody Dynamic Systems∗

References

• R. A , Laskin , P. W. Likins , and R. W. Longman Dynamical equations of a free-free beam subject to large overall motions , J. Astronaut. Soc . 31 (4) 507 – 528 ( 1983 ).
   Web of Science ®Google Scholar
• T. R. Kane , R. R. Ryan , and A. K. Banerjee Dynamics of a cantilever beam attached to a moving base , J. Guid. Control Dyn . 10(2) 139 – 151 ( 1987 ).
   Web of Science ®Google Scholar
• 1. A, K, Banerjee and T. R. Kane Dynamics of a plate in large overall motion , J. Appl. Mech. Trans. ASME 56 887 – 892 ( 1989 ).
   Web of Science ®Google Scholar
• C. E. Pad ilia and A. H. von Flotow Non-linear strain-displacement relations and flexible multibody dynamics . Proceedings of the AIAA/ASME/ASCE/AHS 30th Structures, Structural Dynamics and Materials Conference , AIAA, Mobile , Alabama , 1989 , Paper No. 89–1202 . pp. 405 – 413 .
   Google Scholar
• S. C. Wu and E. J. Haug Geometric non-linear substructuring for dynamics of flexible mechanical systems , Int. J. Numer. Meth. Eng . 26 2211 – 2226 ( 1988 ).
   Web of Science ®Google Scholar
• J. M. Housner , S. C. Wu , and C. W. Chang A finite element method for time varying geometry in multibody structures , Proceedings of the AIAA/ASME/ASCE/AHS 29th Structures, Structural Dynamics and Materials Conference , AIAA , Williamsburg , Virginia , 1988 , Paper No. 88–2234 , pp. 187 – 197 .
   Google Scholar
• F. V. D. Weeën. A finite element approach to three-dimensional kineto-elastodynamics , Mech. Mach. Theory 23 (6) 491 – 500 ( 1988 ).
   Web of Science ®Google Scholar
• B. Y. Souh and S. S. Kim A recursive dynamic formulation for flexible mechanisms , Proceedings of the ASME 16th Design Automation Conference , Chicago , Illinois , September 1990 , pp. 383 – 390 .
   Google Scholar
• D. A. Turcic and A. Midha , Dynamic analysis of elastic mechanism systems. Part I Applications , J. Dyn. Syst. Meas. Control 106 249 – 254 ( 1984 ).
   Web of Science ®Google Scholar
• B. S. Thompson and C. K. Sung A variational formulation for the nonlinear finite element analysis of flexible linkages Theory, implementation, and experimental results , J. Mech. Trans. Auto. Des . 106 482 – 488 ( 1984 ).
   Google Scholar
• F. W. Liou and A. G. Erdman Analysis of high-speed flexible four-bar linkage Part 1- Formulation and solution , J. Vibr. Acoust. Stress Reliab. Des. Trans. ASM111 35 – 41 ( 1989 ).
   Google Scholar
• S. K. Ider and F. M. L. Amirouche Influence of geometric nonlinearities in the dynamics of flexible treelike structures , J. Guid. Control Dyn . 12 ( 6 ) 830 – 837 ( 1988 ).
   Web of Science ®Google Scholar
• S. K. Ider and F. M. L. Amirouche Nonlinear modeling of flexible multibody systems dynamics subjected to variable constraints , J. Appl. Mech. Trans. ASME 56 444 – 450 ( 1989 ).
   Web of Science ®Google Scholar
• E. M. Bakr and A. A. Shabana Geometrically nonlinear analysis of multibody systems , Comput. Struct . 23 (6) 739 – 751 ( 1986 ).
   Web of Science ®Google Scholar
• O. Wallrapp , Geometric stiffness influence in linearized flexible multibody systems , Proceedings of the 8th IMAC Conference , Kissimmee , Florida , 1990 , pp. 1093 – 1100 .
   Google Scholar
• K. Washizu Variational Methods in Elasticity and Plasticity ( 3rd Ed .), Pergamon Press , Oxford , 1982 .
   Google Scholar
• O. Wallrapp , J. Santos , and J. Ryu Superposition method for stress stiffening in flexible multibody dynamics , International Conference on Dynamics of Flexible Structures in Space , Cranfield Institute of Technology , Cranfield , Bedford , United Kingdom , May 1990 , pp. 233 – 247 .
   Google Scholar
• A. K. Banerjee and J. M. Dickens , Dynamics of an arbitrary flexible body in large ro tationtranslation , J.Guid, Control Dyn . 13 (2) 221 – 227 ( 1990 ).
   Web of Science ®Google Scholar
• R. D. Cook Concepts and Applications of Finite Element Analysis , McGraw-Hill , New York , 1985 . pp. 331 – 341 .
   Google Scholar
• K. L. Bathe Finite Element Procedures in Engineering Analysis , Prentice Hall , Engle-wood Cliffs , New Jersey , 1982 .
   Google Scholar
• J. Ryu “ Computational Dynamics of High Speed Flexible Multibody Systems ,” Ph.D. dissertation , College of Engineering, The University of Iowa , Iowa City , Iowa , 1991 .
   Google Scholar
• S. C. Wu , E. J. Haug , and S. S. Kim A variational approach to dynamics of flexible multibody systems , Mech. Struct. Mech . 17(1) 3 – 32 ( 1989 ).
   Google Scholar
• The NASTRAN Theoretical Manual , National Aeronautics and Space Administration , Washington , D. C , 1981 .
   Google Scholar
• G. J. DeSalvo and J. A. Swanson ANSYS User's and Theoretical Manual , Swanson Analysis Systems, Inc ., Houston , Pennsylvania , 1985 .
   Google Scholar
• W. S. Yoo and E. J. Haug Dynamics of articulated structures, Part 1 Theory , J. Struct. Mech . 14 ( 1 ) 105 – 126 .
   Google Scholar
• W. S. Yoo and E. J. Haug Dynamics of articulated structures, part II Computer implementation and applications , J. Struct. Mech . 14 ( 2 ) 177 – 189 ( 1986 ).
   Web of Science ®Google Scholar
• S. S. Kim and E. J. Haug A recursive formulation for flexible multibody dynamics, part I Open-loop systems , Comput. Meth. Appl. Mech. Eng . 71 293 – 314 ( 1988 ).
   Web of Science ®Google Scholar
• H. J. Lai “ A Decoupled Recursive Approach for Flexible Multibody Dynamics and Its Application in Parallel Computation ,” Ph.D. dissertation , College of Engineering, The University of Iowa , Iowa City , Iowa , 1989 .
   Google Scholar
• E. J. Haug Computer Aided Kinematics and Dynamics of Mechanical Systems , Allyn & Bacon , New York , 1989 .
   Google Scholar
• ∗Communicated by R. Schwertassek
   Google Scholar