DYNAMIC ANALYSIS OF TWO-LINK FLEXIBLE MANIPULATOR USING FEM UNDERGOING BENDING-TORSIONAL VIBRATIONS

Natraj MISHRA, S.P. SINGH

Abstract


In this paper, a two-link flexible manipulator is analyzed using finite element approach whose links are undergoing combined bending and torsional vibrations. Mathematical model of the flexible manipulator is obtained using Lagrangian dynamics. The links are modelled as Euler-Bernoulli beams and discretized using ‘space-frame’ and ‘plane-frame’ elements. The present work deals with various non-linear effects like, coupling between rigid and flexible degrees of freedom, centrifugal and Coriolis effects and presence of gravity. The mathematical model is validated using results available in the literature. The novelty of the present work lies in inclusion of torsional effects and thus highlighting their effects on positional accuracy of the flexible manipulator.

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References


Benosman and Vey, Control of flexible manipulators: A survey, Robotica, Vol 22, pp. 533-534, 2004.

S. K. Dwivedy, Peter Eberhard, Dynamic analysis of flexible manipulators, a review, Mechanism and Machine Theory, pp. 749-777, 2006.

Sunada and Dubowsky, The application of finite elements methods to the dynamic analysis of flexible spatial and co-planar linkage systems, Journal of Mechanical Design, Vol 103, pp. 643-651, 1981.

Dado and Soni, A generalized approach for forward and inverse dynamics of elastic manipulators, IEEE, pp. 359-364, 1986.

Nagnathan and Soni, Non-linear flexibility studies for spatial manipulators, IEEE, pp. 373-378, 1986.

Usoro, Nadira, Mahil, A Finite Element/ Lagrange approach to modelling lightweight flexible manipulators, Journal of Dynamic Systems, Measurement and Control, Vol. 108, pp. 198-205, 1986.

E. Bayo, A finite-element approach to control the end-point motion of a single-link flexible robot, Journal of Robotic Systems, Vol. 4, pp. 63-75, 1987.

Simo and Vu-Quoc, The role of nonlinear theories in transient dynamic analysis of flexible structures, Journal of Sound and Vibration, Vol. 4, pp. 63-75, 1987.

Tzou and Wan, Distributed structural dynamics control of flexible manipulators-I, Structural dynamics and distributed viscoelastic actuator, Computers & Structures, pp. 669-677, 1990.

Chedmail, Aoustin and Chevallereau, Modelling and control of flexible robots, International Journal for Numerical Methods in Engineering, Vol. 32, pp. 1595-1619, 1991.

Alberts, Xia, Chen, Dynamic analysis to evaluate viscoelastic passive damping augmentation for the space shuttle remote manipulator system, Journal of Dynamic Systems, Measurement and Control, Vol. 114, pp. 468-475, 1992.

Gaultier and Cleghorn, A spatially translating and rotating beam finite element for modelling flexible manipulators, Mechanism and Machine Theory, Vol. 27, pp. 415-433, 1992.

Hu and Ulsoy, Dynamic modeling of constrained flexible robot arms for controller design, Journal of Dynamic Systems, Meadurement and Control, Vol. 116, pp. 56-65, 1994.

Stylianou and Tabarrok, Finite element analysis of an axially moving beam, Part I: Time integration, Journal of Sound and Vibration, Vol. 178, pp. 433-453, 1994.

Stylianou and Tabarrok, Finite element analysis of an axially moving beam, Part II: Stability analysis, Journal of Sound and Vibration, Vol. 178, pp. 455-481, 1994.

Theodore and Ghosal, Robust control of multilink flexible manipulators, Mechanism and Machine Theory, Vol. 38, pp. 367-377, 2003.

R. Fotouhi, Dynamic analysis of very flexible beams, Journal of Sound and Vibration, Vol. 305, pp. 521-533, 2007.

Meghdari and Ghassempouri, Dynamics of Flexible Manipulators, Journal of Engineering, Islamic Republic of Iran, Vol. 7, pp. 19-32, 1994.

Theodore and Ghosal, Comparison of the assumed modes method and finite element models for flexible multilink manipulators, The International Journal of Robotics Research, Vol. 14, 1995.

Chandrupatla and Belegundu, Introduction to Finite Elements in Engineering, New Delhi: PHI Learning Private Limited, Third Edition.

Natraj Mishra, S.P. Singh, B.C. Nakra, Dynamic Modelling of Two Link Flexible Manipulator using Lagrangian Assumed Modes Method, Global Journal of Multidisciplinary Studies, Vol.-4, Issue-12, pp. 93-105, 2015.

D. R. Bland, The Theory of Linear Viscoelasticity, London: Pergamon Press, 1960.

S. Rao, Mechanical Vibrations, Pearson, Fourth Edition.

Chiaming Yen, Glenn Y. Masada, Wei-Min Chan, Dynamic Analysis of a Two-link Flexible Manipulator System using Extended Bond Graphs, Journal of the Franklin Institute, Vol. 330, No. 6, pp. pp. 1113-1134, 1993.

W. Chen, Dynamic modeling of multi-link flexible robotic manipulators, Computers & Structures, pp. 183-195, 2001.


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