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Journal of Zhejiang University SCIENCE A 2001 Vol.2 No.2 P.152-156

http://doi.org/10.1631/jzus.2001.0152


COMPUTERIZED KINEMATIC AND DYNAMIC ANALYSIS OF LARGE DEPLOYABLE STRUCTURES


Author(s):  HU Qi-biao, GUAN Fu-ling, HOU Peng-fei

Affiliation(s):  Dept. of Civil Engineering, Zhejiang University, Hangzhou 310027, China

Corresponding email(s): 

Key Words:  deployable structure, dynamic, kinematic, Kane's equations


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HU Qi-biao, GUAN Fu-ling, HOU Peng-fei. COMPUTERIZED KINEMATIC AND DYNAMIC ANALYSIS OF LARGE DEPLOYABLE STRUCTURES[J]. Journal of Zhejiang University Science A, 2001, 2(2): 152-156.

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Abstract: 
As Huston's form of Kane's equation cannot be easily applied to large deployable structures, what is needed is further development of Kane's equation as described in this paper. Fully-Cartesian-coordinate (FCC) method uses Cartesian coordinates of points and Cartesian components of unitary vectors as generalized coordinates to describe three-dimension mechanisms. This FCC method avoids the need to consider angular coordinates and the resulting solution is just the space position of the structures. The FCC form of Kane's equation derived in this study is suitable for solution by computer method and is a good base for further simulation research. A numerical example showed that it is effective.

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Reference

[1] Amirouche, M. L., 1987. Automatic elimination of the undetermined multipliers in Kane's equations using a pseudo upper-triangular decomposition (PUTD) Method. Computers & Structures, 27: 203-210.

[2] Bayo, Eduardo and García, de Jalón, 1991. An efficient computational method for real time multibody dynamic simulation in fully cartesian coordinates. Computer Methods in Applied Mechanics and Engineering, 92: 377-395.

[3] García de Jalón, Miguel Angel Serna and Rafael AvilUs, 1981. Computer method for kinematic analysis of lower-pair mechanisms. Mechanism and Machine Theory, 16(5): 543-556.

[4] Huston, R. L. and Passerello, C. E., 1974. On the Dynamics of Chain Systems. ASME Paper, 74-WA/AUT p.11.

[5] Huston, R. L., Liu Yungsheng and Liu Chengqun, 1994. Use of absolute coordinates in computational multibody dynamics. Computers & Structures, 54: 17-25.

[6] Kane, T. R., 1961. Dynamics of nonholonomic systems. ASME Journal of Applied Mechanics, 28: 574-578.

[7] Kane T. R. and Levinson, D. A., 1985. Dynamics: Theory and Application, McGraw-Hill Book Company. New York, USA, p.15-17.

[8] Singh, R. P. and Likins, P. W., 1985. Singular value decomposition for constrained dynamic system. J. Applied Mechanics, 52: 943-948.

[9] Travis, Langbecker. 1999. Kinematic analysis of deployable scissor structures. International Journal of Space Structures, 14(1): 1-15.

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