Nonlinear dynamics of rigid and flexible multibody systems

Mechanics of Structures and Machines

Volumn 28, Issue 1, 2000, Pages 105-136

  Zakhariev, Evtim ^a  

^a INSTITUTE OF MECHANICS   (Bulgaria)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BEAMS AND GIRDERS; CONSTRAINT THEORY; DEFORMATION; DYNAMIC PROGRAMMING; FINITE ELEMENT METHOD; JOINTS (STRUCTURAL COMPONENTS); KINEMATICS; LAGRANGE MULTIPLIERS; RIGIDITY; STIFFNESS MATRIX;

FLEXIBLE MULTIBODY SYSTEMS; LINEAR ELASTIC SPRINGS; NONLINEAR KINEMATIC CONSTRAINT EQUATIONS; RECURSIVE NUMERICAL ALGORITHM; THREE DIMENSIONAL MOTION;

DYNAMICS;

EID: 0033892855     PISSN: 08905452     EISSN: None     Source Type: Journal    
DOI: 10.1081/SME-100100614     Document Type: Article

References (29)

1. G. G. Lowen and W. G. Jandrastis, Survey of investigations into the dynamic behavior of mechanisms containing links with distributed mass and elasticity, Mech. and Mach. Theory 7: 3-17 (1972).
2. A. G. Erdman and G. N. Sandor, Kineto-elastodynamics - A review of the state of the arts and trends, Mech. and Mach. Theory 7:19-33 (1972).
3. G. G Lowen and C. Chassapis, The elastic behavior of linkage: An update, Mech. and Mach. Theory 21:33-42 (1986).
4. W. S. Yoo and E. J. Haug, Dynamics of articulated structures. Part 1. Theory, J. Struct. Mech. 14:105-126 (1986).
5. W. S. Yoo and E. J. Haug, Dynamics of articulated structures. Part 2. Computer implementation and application. J. Struct. Mech. 14:177-189 (1986).
6. A. Rosen, R. G. Loewy, and M. B. Mathew, Nonlinear dynamics of slender rods, AIAA J. 25: 611-619 (1987).
7. D. F. Bartolone and A. A. Shabana, Effect of beam initial curvature on the dynamics of deformable multibody systems, Mech. and Mach. Theory 24:411-429 (1989).
8. F. W. Liou and A. G. Erdman, Analysis of high-speed flexible four-bar linkage: Part I - Formulation and solution, J. Vibration, Acoustics. Stress, and Reliability in Design, Trans. ASME 111:35-41 (1989).
9. F. W. Liou and A. G. Erdman, Analysis of high-speed flexible four-bar linkage: Part II - Analytical and experimental results on the Apollo, J. Vibration, Acoustics, Stress, and Reliability in Design, Trans. ASME 111:42-47 (1989).
10. T. R. Kane. R. R. Ryan, and A. K. Banerjee, Comprehensive theory for the dynamics of a general beam attached to a moving rigid base, J. Guidance, Control, and Dynamics 10:139-151 (1985).
11. A. Cardona and M. Geradin, A beam finite element nonlinear theory with finite rotations, Int. J. Numerical Methods in Engineering 26:2403-2438 (1988).
12. R. Schwertassek, Flexible bodies in multibody systems, In: Computational Methods in Mechanical Systems: Mechanism Analysis, Synthesis and Optimization, J. Angeles and E. Zakhariev, eds., NATO ASI, Series F, Vol. 161, Springer Verlag, Berlin, 329-363, 1998.
13. R. L. Huston, Multibody Dynamics, Butterworth, Stoneham, England, 1990.
14. R. L. Huston and Y. Wang, Flexibility effects in multibody systems, In: Computer Aided Analysis of Rigid and Flexible Mechanical Systems, M. Pereira and J. Ambrosio, eds., NATO ASI, Series E, Vol. 268, Kluwer Academic Publishers, Dordrecht, The Netherlands, 351-376, 1994.
15. A. C. J. Ambrósio and M. S. Pereira, Flexible multibody dynamics with nonlinear deformations: Vehicle dynamics and crashworthiness application, In: Computational Methods in Mechanical Systems: Mechanism Analysis, Synthesis and Optimization, J. Angeles and E. Zakhariev, eds., NATO ASI, Series F. Vol. 161, Springer Verlag, Berlin, 382-419, 1998.
16. A. K. Banerjee and S. Nagarajan, Efficient simulation of large overall motion of beams undergoing large deflection, Multibody System Dynamics 3(1):113-126 (1997).
17. E. J. Haug, D. Negrut, and M. Iancu, Implicit integration of the equations of multibody dynamics. In: Computational Methods in Mechanical Systems: Mechanism Analysis, Synthesis and Optimization, J. Angeles and E. Zakhariev, eds., NATO ASI, Series F, Vol. 161, Springer Verlag, Berlin, 242-267, 1998.
18. D. M. Russell and K. D. Willmert, Simulation of constrained equations from flexible mechanical systems, In: Computer Aided Analysis of Rigid and Flexible Mechanical Systems. Contributed Papers, M. Pereira and J. Ambrosio, eds., NATO ASI, Vol. 2, Troia, Portugal, June 27-July 9, 247-277, 1993.
19. J. J. Denavit and R. S. A. Hartenberg, Kinematic notation for lower pair mechanisms based on matrices. J. Engineering for Industry 22:215-221 (1950).
20. E. Zakhariev, A generic numerical method for mechanical system kinematics and dynamics modeling, In: Computational Methods in Mechanical Systems: Mechanism Analysis, Synthesis and Optimization, J. Angeles and E. Zakhariev, eds., NATO ASI, Series F, Vol. 161, Springer Verlag, Berlin, 212-241, 1998.
21. L. Woo and F. Freundenstein, Application of line geometry to theoretical kinematics and the kinematic analysis of mechanical systems. J. Mechanisms 5:417-460 (1970).
22. M. Hiller and A. Kesckemethy, Dynamics of multibody systems with minimal coordinates, In: Computer Aided Analysis of Rigid and Flexible Mechanical Systems, M. Pereira and J. Ambrosio, eds., NATO ASI, Series E, Vol. 268, Kluwer Academic Publishers, Dordrecht, The Netherlands, 61-100, 1994.
23. E. Zakhariev, Design and optimisation of elements of industrial manipulators and robots, PhD Thesis, Technical University, Sofia, Bulgaria, 1988.
24. O. C. Zienkiewicz, The Finite Element Method in Engineering Science, McGraw-Hill, London, 1971.
25. R. H. Gallager, Finite Element Analysis. Fundamentals, Prentice-Hall, Inc., Englewood Cliffs, NJ, 1975.
26. E. J. Haug and J. S. Arora, Applied Optimal Design. Mechanical and Structural Systems, John Wiley & Sons, New York, 1979.
27. S. P. Timoshenko and L. M. Gere, Mechanics of Materials, Van Nostrand Reinhold Company, New York, 1972.
28. M. Hiller, Merchanische Systeme. Eine Einführung in die analytische Mechanik und Systemdynamik, Springer-Verlag, Berlin, 1983.
29. E. V. Zakhariev, Dynamics of rigid multibody systems with clearances in the pairs, Mech. Struct. and Mach. 27(1):63-87 (1999).