Dynamics of a cantilever beam attached to a moving base

Journal of Guidance, Control, and Dynamics

Volumn 10, Issue 2, 1987, Pages 139-151

  Kane, T R ^a   Ryan, R R ^a   Banerjee, A K ^b  

^a STANFORD UNIVERSITY   (United States)

^b LOCKHEED MARTIN SPACE SYSTEMS COMPANY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMICS - MATHEMATICAL MODELS; EQUATIONS OF MOTION; ROBOTS, INDUSTRIAL - MANIPULATORS;

BEAM MOTIONS;

BEAMS AND GIRDERS;

EID: 0023306258     PISSN: 07315090     EISSN: None     Source Type: Journal    
DOI: 10.2514/3.20195     Document Type: Article

References (41)

1. Modi, V.J., “Attitude Dynamics of Satellites with Flexible Appendages—A Brief Review,” Journal of Spacecraft and Rockets, Vol. 11, Nov. 1974, pp. 743-751.
2. Dubowsky, S. and Maatuk, J., “The Dynamic Analysis of Elastic Spatial Mechanisms,” Proceedings of the Fourth World Congress on the Theory of Machines and Mechanisms, University of Newcastle upon Tyne, England, Sept. 8-12, 1975, pp. 927-932.
3. Turcic, D.A. and Midha, A., “Generalized Equations of Motion for the Dynamic Analysis of Elastic Mechanism Systems,” Journal of Dynamic Systems, Measurement, and Control, Vol. 106, Dec. 1984, pp. 243-248.
4. Turcic, D.A. and Midha, A., “Dynamic Analysis of Elastic Mechanism Systems. Part I: Applications,” Journal of Dynamic Systems, Measurement, and Control, Vol. 106, Dec. 1984, pp. 249-254.
5. Turcic, D.A., Midha, A., and Bosnik, J.R., “Dynamic Analysis of Elastic Mechanism Systems. Part II: Experimental Results,” Journal of Dynamic Systems, Measurement, and Control, Vol. 106, Dec. 1984, pp. 255-260.
6. Luh, J.Y.S., Walker, M.W., and Paul, R.P.C., “On-Line Computational Scheme for Mechanical Manipulators,” Journal of Dynamic Systems, Measurements, and Control, Vol. 102, June 1980, pp. 69-76.
7. Huston, R.L., “Multi-Body Dynamics Including the Effects of Flexibility and Compliance,” Computers and Structures, Vol. 14, No. 5-6, 1981, pp. 443-451.
8. Geradin, M., Robert, G., and Bernardin, C., “Dynamic Modelling of Manipulators with Flexible Members,” Advanced Software in Robotics Seminar, Liège, Belgium, Proceedings published by North-Holland, 1983.
9. Singh, R.P. and Likins, P.W., “Manipulator Interactive Design with Interconnected Flexible Elements,” Automatic Control Conference, San Francisco, CA, June 1983.
10. Gupta, R.S. and Rao, S.S., “Finite Element Eigenvalue Analysis of Tapered and Twisted Timoshenko Beams,” Journal of Sound and Vibration, Vol. 56, No. 2,1978, pp. 187-200.
11. Putter, S. and Manor, H., “Natural Frequencies of Radial Rotating Beams,” Journal of Sound and Vibration, Vol. 56, No. 2,1978, pp. 175-185.
12. Kaza, K.R.V. and Kielb, R.E., “Effects of Warping and Pretwist on Torsional Vibration of Rotating Beams,” Journal of Applied Mechanics, Vol. 51, Dec. 1984, pp. 913-920.
13. Kaza, K.R.V. and Kvatemik, R.G., “Nonlinear Flap-Lag-Axial Equations of a Rotating Beam,” AIAA Journal, Vol. 15, June 1977, pp. 871-874.
14. Hodges, D.H., “Proper Definition of Curvature in Nonlinear Beam Kinematics,” AIAA Journal, Vol. 22, Dec. 1984, pp. 1825-1827.
15. Likins, P.W., “Dynamics and Control of Flexible Space Vehicles,” JPL TR 32-1329, 1970.
16. Kulla, P., “Dynamics of Spinning Bodies Containing Elastic Rods, Journal of Spacecraft and Rockets, Vol. 9, April, 1972, pp. 246-253.
17. Bodley, C.S. and Park, A.C., “The Influence of Structural Flexibility on the Dynamic Response of Spinning Spacecraft,” AIAA Paper 72-348, 1972.
18. Likins, P.W., Barbera, F.J., and Baddeley, V., “Mathematical Modeling of Spinning Elastic Bodies for Modal Analysis,” AIAA Journal, Vol. 1-1, Sept. 1973, pp. 1251-1258.
19. Likins, P.W., “Geometric Stiffness Characteristics of a Rotating Elastic Appendage,” International Journal of Solids and Structures, Vol. 10, 1974, pp. 161-167.
20. Vigneron, F.R., “Comment on Mathematical Modeling of Spinning Elastic Bodies for Modal Analysis,” AIAA Journal, Vol. 13, Jan. 1975, pp. 126-127.
21. Hablani, H.B., “Constrained and Unconstrained Modes; Some Modeling Aspects of Flexible Spacecraft,” Journal of Guidance, Control, and Dynamics, Vol. 5, March-April 1982, pp. 164-173.
22. Meirovitch, L„ Analytical Methods in Vibrations, Macmillan, New York, 1967, pp. 443-445.
23. Hughes, P.C., “Dynamics of Flexible Spinning Spacecraft,” XXIV Congress of the International Astronautical Federation, Baku, USSR, Oct. 1973.
24. Benedetti, G.A., “Derivation of the Coupled Equations of.Motion for a Beam Subjected to Three Translational Accelerations and Three Rotational Accelerations,” Sandia National Laboratories, Rept. SAND79-8202, Feb. 1979.
25. Laskin, R.A., Likins, P.W., and Longman, R.W., “Dynamical Equations of a Free-Free Beam Subject to Large Overall Motions,” Journal of the Astronautical Society, Vol. XXXI, Oct.-Dec. 1983, pp. 507-528.
26. Bodley, C.S., Devers, A.D., Park, A.C., and Frisch, H.P., “A Digital Computer Program for the Dynamic Interaction Simulation of Controls and Structure (DISCOS),” Vols. 1&2, NASA TP-1219, May 1978
27. Frisch, H.P., “A Vector-Dyadic Development of the Equations of Motion for V-Coupled Flexible Bodies and Point Masses,” NASA TN D-8047, Aug. 1975.
28. Ho, J.Y.L., “Direct Path Method for Flexible Multibody Spacecraft Dynamics,” Journal of Spacecraft and Rockets, Vol. 14, Jan.-Feb. 1977, pp. 102-110.
29. Ho, J.Y.L. and Herber, D.R., “Development of Dynamics and Control Simulation of Large Flexible Space Systems,” Journal of Guidance, Control, and Dynamics, Vol. 8, May-June 1985, pp. 374-383
30. Singh, R.P., VanderVoort, R.J., and Likins, P.W., “Dynamics of Flexible Bodies in Tree Topology—A Computer Oriented Approach,” AIAA Paper 84-1024, 1984.
31. Oden, J.T. and Ripperger, E.A., Mechanics of Elastic Structures, 2nd ed., McGraw-Hill, New York, 1981.
32. Roark, R.J. and Young, W.C., Formulas for Stress and Strain, 5th ed., McGraw-Hill, New York, 1975, pp. 5-12.
33. Kane, T.R., Likins, P.W., and Levinson, D.A., Spacecraft Dynamics, McGraw-Hill, New York, 1983, p. 425.
34. Kane, T.R and Levinson, D.A., Dynamics, Theory and Applications, McGraw-Hill, New York, 1985, p. 24.
35. Hay, J.K. and Blew, J.M., “Dynamic Testing and Computer Analysis of Automotive Frames,” SAE Paper 720046, Jan. 1972.
36. McClelland, W.A., Hay, J.K., and Klosterman, A.L., “Frame Design Analysis Under Complete Vehicle Boundary Conditions,” SAE Paper 741142, Nov. 1974.
37. Timoshenko, S., Strength of Materials, 3rd ed., Vol. 2, Van Nostrand, Princeton, NJ, 1955, p. 265.
38. Heins, C.P., Bending and Torsional Design in Structural Members, Lexington Books, Lexington, MA, 1976, pp. 8-24, 65-113.
39. Heins, C.P., SDRC Frame User’s Manual, Vol. 1, Structural Dynamics Research Corp., 1980.
40. Heins, C.P., SDRC Mechanical Design Library User’s Manual, Vol. 1, Structural Dynamics Research Corp., 1978.
41. Timoshenko, S.P., Young, D.H., and Weaver, W., Vibration Problems in Engineering, 4th ed., Wiley, New York, 1974, pp. 432-435.