Abstract
This paper treats the dynamical modeling of elastic robots. A structured way to do this is the usage of the Projection Equation in subsystem representation in combination with the Ritz approximation method for the structural elastic degrees of freedom. Typical subsystems for such robots contain a motor, an elastic gear, an elastic link and a tip mass. Also the effect of dynamical stiffening is treated in the subsystem formulation. A final projection into the minimal space leads to the equations of motion for the whole robot. This model is analyzed in detail regarding the choice of ansatz functions for the elastic degrees of freedom. Therefore, the eigenfrequencies resulting from a linearized model are compared when using different ansatz functions. Finally, the influence of dynamical stiffening w.r.t eigenfrequencies is discussed.
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References
Gattringer, H.: Starr-elastische Robotersysteme: Theorie und Anwendungen. Springer, Heidelberg (2011)
Bremer, H.: Elastic Multibody Dynamics: A Direct Ritz Approach. Springer, Heidelberg (2008)
Dwivedy, S.K., Eberhard, P.: Dynamic analysis of flexible manipulators, a literature review. Mech. Mach. Theorie 41(7), 749–777 (2006)
Höbarth, W., Gattringer, H., Bremer, H.: Modeling and control of an articulated robot with flexible links/joints. In: Proceedings of the 9th International Conference on Motion and Vibration Control (2008)
Kleemann, U.: Regelung elastischer Roboter, VDI-Verlag (1989)
Pfeiffer, F. (ed.): Mechanical System Dynamic. LNACM, vol. 40. Springer, Heidelberg (2008)
Staufer, P., Gattringer, H.: State estimation on flexible robots using accelerometers and angular rate sensors. Mechatronics 22, 1042–1049 (2012)
Acknowledgments
This work has been supported by the Austrian COMET-K2 program of the Linz Center of Mechatronics (LCM), and was funded by the Austrian federal government and the federal state of Upper Austria.
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Gattringer, H., Springer, K., Müller, A., Jörgl, M. (2015). An Efficient Method for the Dynamical Modeling of Serial Elastic Link/Joint Robots. In: Moreno-Díaz, R., Pichler, F., Quesada-Arencibia, A. (eds) Computer Aided Systems Theory – EUROCAST 2015. EUROCAST 2015. Lecture Notes in Computer Science(), vol 9520. Springer, Cham. https://doi.org/10.1007/978-3-319-27340-2_85
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DOI: https://doi.org/10.1007/978-3-319-27340-2_85
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