Articles | Volume 8, issue 2
https://doi.org/10.5194/ms-8-221-2017
https://doi.org/10.5194/ms-8-221-2017
Research article
 | 
26 Jul 2017
Research article |  | 26 Jul 2017

Nonlinear modelling and dynamic stability analysis of a flexible Cartesian robotic manipulator with base disturbance and terminal load

Jinyong Ju, Wei Li, Mengbao Fan, Yuqiao Wang, and Xuefeng Yang

Related subject area

Subject: Dynamics and Control | Techniques and Approaches: Mathematical Modeling and Analysis
Research on the optimal speed of vehicles passing speed bumps on the highway based on an immune algorithm
Zhiyong Yang, Ruixiang Zhang, Zihang Guo, Jieru Guo, and Yu Zhou
Mech. Sci., 15, 315–330, https://doi.org/10.5194/ms-15-315-2024,https://doi.org/10.5194/ms-15-315-2024, 2024
Short summary
Improved strategies of the Equality Set Projection (ESP) algorithm for computing polytope projection
Binbin Pei, Wenfeng Xu, and Yinghui Li
Mech. Sci., 15, 183–193, https://doi.org/10.5194/ms-15-183-2024,https://doi.org/10.5194/ms-15-183-2024, 2024
Short summary
A Lie group variational integrator in a closed-loop vector space without a multiplier
Long Bai, Lili Xia, and Xinsheng Ge
Mech. Sci., 15, 169–181, https://doi.org/10.5194/ms-15-169-2024,https://doi.org/10.5194/ms-15-169-2024, 2024
Short summary
Improved flux linkage observer for position estimation of permanent magnet synchronous linear motor
Wenbin Yu, Guolai Yang, Liqun Wang, Darui Lin, and Ahmed Al-Zahrani
Mech. Sci., 15, 99–109, https://doi.org/10.5194/ms-15-99-2024,https://doi.org/10.5194/ms-15-99-2024, 2024
Short summary
Sliding mode control of electro-hydraulic servo system based on double observers
Xiaoyu Su and Xinyu Zheng
Mech. Sci., 15, 77–85, https://doi.org/10.5194/ms-15-77-2024,https://doi.org/10.5194/ms-15-77-2024, 2024
Short summary

Cited articles

Abe, A.: Trajectory planning for flexible Cartesian robot manipulator by using artificial neural network: numerical simulation and experimental verification, Robotica, 29, 797–804, https://doi.org/10.1017/S0263574710000767, 2011.
Anderson, T. J., Nayfeh, A. H., and Balachandran, B.: Experimental verification of the importance of the nonlinear curvature in the response of a cantilever beam, ASME, J. Vib. Acoust., 118, 21–27, https://doi.org/10.1115/1.2889630, 1996.
Atsumi, T., Arisaka, T., Shimizu, T., and Masuda, H.: Head-positioning control using resonant modes in hard disk drives, IEEE-ASME T. Mech., 10, 378–384, https://doi.org/10.1109/TMECH.2005.852445, 2005.
Chen, L. Q. and Yang, X. D.: Stability in parametric resonance of axially moving viscoelastic beams with time-dependent speed, J. Sound Vib., 284, 879–891, https://doi.org/10.1016/j.jsv.2004.07.024, 2005.
Chu, S. M., Cao, D. Q., Sun, S. P., Pan, J. Z., and Wang, L. G.: Impact vibration characteristics of a shrouded blade with asymmetric gaps under wake flow excitations, Nonlinear Dynam., 72, 539–554, https://doi.org/10.1007/s11071-012-0732-4, 2013.
Download
Short summary
During the mode experiments of the FCRM, we find that the mode characteristics of the FCRM change with the different tip mass. As the direct drive source of the FCRM, the output of the motor also have great influences on the dynamic characteristics of the FCRM. Thus, the nonlinear modelling and dynamic stability of a FCRM with base disturbance and terminal load are analyzed in this paper. During the analysis process, the methods of mechanism modeling and numerical calculation are adopted.