Recursive formulations of a flexible multibody system by the method of weighted residual

JSME International Journal, Series C: Dynamics, Control, Robotics, Design and Manufacturing

Volumn 39, Issue 2, 1996, Pages 257-264

  Tsuchiya, Kazuo ^a   Shima, Takeya ^b  

^a KYOTO UNIVERSITY   (Japan)

^b OSAKA UNIVERSITY   (Japan)

Author keywords

Dynamics of Machinery; Flexible Manipulator; Flexible Structure; Inverse Dynamics; Method of Weighted Residual; Modelling

Indexed keywords

ALGORITHMS; DEFORMATION; EQUATIONS OF MOTION; FLEXIBLE STRUCTURES; FUNCTIONS; LAGRANGE MULTIPLIERS; MATHEMATICAL MODELS; MECHANISMS; NUMERICAL METHODS; ROBOTICS; UNIVERSAL JOINTS; VELOCITY;

ELASTIC DEFORMATION; FLEXIBLE MANIPULATOR; INVERSE DYNAMICS; LAGRANGIAN FORMULATION; MACHINERY DYNAMICS; NEWTON-EULER METHOD; RECURSIVE ALGORITHMS; RECURSIVE FORMULATIONS; WEIGHTED RESIDUAL METHOD;

MANIPULATORS;

EID: 0030172370     PISSN: 13408062     EISSN: None     Source Type: Journal    
DOI: 10.1299/jsmec1993.39.257     Document Type: Article

References (11)

1. Tsuchiya, K., Kashiwase, T., and Yamada, K., Reduced-Order Models of a Large Flexible Spacecraft, Journal of Guidance, Control, and Dynamics, Vol. 12, No. 6 (1989), p. 845.
2. Whitney, D. E., Resolved Motion Rate Control of Manipulators and Human Prostheses, IEEE Trans. Man-Mach. Syst. MMS-10, (1969), p. 47.
3. Luh, J. Y. S., Walker, M. W., and Paul, R. P. C., On-Line Computational Scheme for Mechanical Manipulators, ASME J. Dyn. Syst. Meas. Control, Vol. 102, No. 2 (1980), p. 69.
4. Tsuchiya, K., Watanabe, S., and Yamada, K., Lagrangian Formulation of th Mechanics of Rigid Bodies Connected by Rotary. Joints, Trans. Jpn. Soc. Mech. Eng., (in Japanese), Vol. 58, No. 549, C (1992), p. 32.
5. Book, W. J., Recursive Lagrangian Dynamics of Flexible Manipulator Arms, Int. J. Robot. Res., Vol.3, No. 3 (1984), p. 87.
6. Changizi, K., and Shabana, A. A., A Recursive Formulation for the Dynamic Analysis of Open Loop Deformable Multibody Systems, Journal of Applied Mechanics, September, Vol. 55 (1988), p. 687.
7. Kim, S., and Haug, E. J., A Recursive Formulation for Flexible Multibody Dynamics, Part 1 : Open-Loop Systems, Computer Methods in Applied Mechanics and Engineering, Vol. 71 (1988), p. 293.
8. Jain, A., and Rodriguez, G., Recursive Flexible Multibody System Dynamics Using Spatial Operators, Journal of Guidance, Control, and Dynamics, Vol. 15, No. 6 (1992), p. 1453.
9. Tsuchiya, K., and Watanabe, S., Lagrangian Formulation of the Mechanics of Flexible Bodies Connected by Rotary Joints, Finite Elements in Analysis and Design, Vol. 14 (1993), p. 261.
10. Finlayson, B. A., The Method of Weighted Residuals and Variational Principles, (1972), Academic Press, New York.
11. Lanczos, C., The Variational Principle of Mechanics, 4th edition, (1970), University of Toronto Press.