Kinematic Analysis of the Deployable Truss Structures for Space Applications

Yan, Xu; Fu-ling, Guan; Yao, Zheng; Mengliang, Zhao

doi:10.5028/jatm.2012.04044112

Abstract:

Deployable structure technology has been used in aerospace and civil engineering structures very popularly. This paper reported on a recent development of numerical approaches for the kinematic analysis of the deployable truss structures. The dynamic equations of the constrained system and the computational procedures were summarized. The driving force vectors of the active cables considering the friction force were also formulated. Three types of macroele-ments used in deployable structures were described, including linear scissor-link element, multiangular scissor element, and rigid-plate element. The corresponding constraint equations and the Jacobian matrices of these macroelements were formulated. The accuracy and efficiency of the proposed approach are illustrated with numerical examples, including a double-ring deployable truss and a deployable solar array.

Keywords:
Kinematic analysis; Deployable truss structures; Macroelements; Deployable solar array

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REFERENCES

Bae, D.S. et al, 2000, "An explicit integration method for real time simulation of multibody vehicle models", Computer Methods in Applied Mechanics and Engineering, Vol. 187, pp. 337-350.
Bayo, E. and Ledesma, R., 1996, "Augmented Lagrangian and mass-orthogonal projection method for constrained multibody dynamics", Nonlinear Dynamics, Vol. 9, pp. 113-130.
Blajer, W., 1995, "An orthonormal tangent space method for constrained multibody systems", Computer Methods In Applied Mechanics And Engineering, Vol. 121, pp. 45-57.
Calladine, C.R. and Pellegrino, S., 1991, "Further remarks on íirst-order infinitesimal mechanisms", International Journal of Solids and Structures, Vol. 29, pp. 2119-2122.
Chemiavsky, A.G. et al, 2005, "Large deployable space antennas based on usage of polygonal pantograph", Journal of Aerospace Engineering, Vol. 18, pp. 139-145.
Fisette, P. and Vaneghem, B., 1996, "Numerical integration of multibody system dynamic equations using the coordinate partitioning method in an implict Newmark scheme", Computer Methods in Applied Mechanics and Engineering, Vol. 135, pp. 85-105.
Kim, S.S. and Vanderploeg, M.J., 1986, "QR decomposition for state space representation of constrained mechanical dynamic systems", Journal of Mechanisms, Transmissions, and Automation in Design, Vol. 108, pp. 183-188.
Li, T.J., 2012, "Deployment analysis and control of deployable space antenna", Aerospace Science and Technology, Vol. 18, pp. 42-47.
Liang, C.G. and Lance, G.M., 1987, "A differentiable null space method for constrained dynamic analysis", Journal of Mechanisms, Transmissions, and Automation in Design, Vol. 109, pp. 405-410.
Meguro, A. et al., 2003, "Key technologies for high-accuracy large mesh antenna reflectors", Acta Astronautica, Vol. 53, pp. 899-908.
Nagaraj, B.P. et al., 2009, "Kinematics of pantograph masts", Mechanism and Machine Theory, Vol. 44, pp. 822-834.
Nagaraj, B.P. et al., 2010, "A constraint Jacobian based approach for static analysis of pantograph masts", Computers and Structures, Vol. 88, pp. 95-104.
Singh, R.P. and Likins, P.W., 1985, "Singular value decomposition for constrained dynamical systems", Journal of Applied Mechanics, Vol. 52, pp. 943-948.
Takamatsu, K.A. and Onodaf, J., 1991, "New deployable truss concepts for large antenna structures or solar concentrators", Journal of Spacecraft, Vol. 28, pp. 330-338.
You, Z., 2000, "Deployable structure of curved profile for space antennas", Journal of Aerospace Engineering, Vol. 13, pp. 139-143.
Yu, Y. and Luo, Y., 2009, "Motion analysis of deployable structures based on the rod hinge element by the finite particle method", Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, Vol. 223, pp. 955-965.
Zhao, M.L. and Guan, F.L., 2005, "Kinematic analysis of deployable toroidal spatial truss structures for large mesh antenna", Journal of the International Association for Shell and Spatial Structures, Vol. 46, pp. 195-204.

Publication Dates

Publication in this collection
Oct-Dec 2012

History

Received
04 June 2012
Accepted
08 Aug 2012

This is an Open Access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

[1] Bae, D.S. et al, 2000, "An explicit integration method for real time simulation of multibody vehicle models", Computer Methods in Applied Mechanics and Engineering, Vol. 187, pp. 337-350.

[2] Bayo, E. and Ledesma, R., 1996, "Augmented Lagrangian and mass-orthogonal projection method for constrained multibody dynamics", Nonlinear Dynamics, Vol. 9, pp. 113-130.

[3] Blajer, W., 1995, "An orthonormal tangent space method for constrained multibody systems", Computer Methods In Applied Mechanics And Engineering, Vol. 121, pp. 45-57.

[4] Calladine, C.R. and Pellegrino, S., 1991, "Further remarks on íirst-order infinitesimal mechanisms", International Journal of Solids and Structures, Vol. 29, pp. 2119-2122.

[5] Chemiavsky, A.G. et al, 2005, "Large deployable space antennas based on usage of polygonal pantograph", Journal of Aerospace Engineering, Vol. 18, pp. 139-145.

[6] Fisette, P. and Vaneghem, B., 1996, "Numerical integration of multibody system dynamic equations using the coordinate partitioning method in an implict Newmark scheme", Computer Methods in Applied Mechanics and Engineering, Vol. 135, pp. 85-105.

[7] Kim, S.S. and Vanderploeg, M.J., 1986, "QR decomposition for state space representation of constrained mechanical dynamic systems", Journal of Mechanisms, Transmissions, and Automation in Design, Vol. 108, pp. 183-188.

[8] Li, T.J., 2012, "Deployment analysis and control of deployable space antenna", Aerospace Science and Technology, Vol. 18, pp. 42-47.

[9] Liang, C.G. and Lance, G.M., 1987, "A differentiable null space method for constrained dynamic analysis", Journal of Mechanisms, Transmissions, and Automation in Design, Vol. 109, pp. 405-410.

[10] Meguro, A. et al., 2003, "Key technologies for high-accuracy large mesh antenna reflectors", Acta Astronautica, Vol. 53, pp. 899-908.

[11] Nagaraj, B.P. et al., 2009, "Kinematics of pantograph masts", Mechanism and Machine Theory, Vol. 44, pp. 822-834.

[12] Nagaraj, B.P. et al., 2010, "A constraint Jacobian based approach for static analysis of pantograph masts", Computers and Structures, Vol. 88, pp. 95-104.

[13] Singh, R.P. and Likins, P.W., 1985, "Singular value decomposition for constrained dynamical systems", Journal of Applied Mechanics, Vol. 52, pp. 943-948.

[14] Takamatsu, K.A. and Onodaf, J., 1991, "New deployable truss concepts for large antenna structures or solar concentrators", Journal of Spacecraft, Vol. 28, pp. 330-338.

[15] You, Z., 2000, "Deployable structure of curved profile for space antennas", Journal of Aerospace Engineering, Vol. 13, pp. 139-143.

[16] Yu, Y. and Luo, Y., 2009, "Motion analysis of deployable structures based on the rod hinge element by the finite particle method", Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, Vol. 223, pp. 955-965.

[17] Zhao, M.L. and Guan, F.L., 2005, "Kinematic analysis of deployable toroidal spatial truss structures for large mesh antenna", Journal of the International Association for Shell and Spatial Structures, Vol. 46, pp. 195-204.

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