References
- Ata, A. A., W. F. Fares, and M. Y. Sa’adeh. 2012. Dynamic analysis of a two-link flexible manipulator subject to different sets of conditions. Procedia Engineering 41:1253–60. doi:https://doi.org/10.1016/j.proeng.2012.07.308.
- Bayo, E., P. Papadopoulos, J. Stubbe, and M. A. Serna. 1989. Inverse dynamics and kinematics of multi-link elastic robot: An iterative frequency domain approach. The International Journal of Robotics Research 8 (6):49–62. doi:https://doi.org/10.1177/027836498900800604.
- Book, W. J. 1983. Recursive Lagrangian dynamics of flexible manipulator arms via transformation matrices. IFAC Proceedings Volumes 16 (19):5–17. doi:https://doi.org/10.1016/S1474-6670(17)61662-8.
- Cederbaum, G. 1992. Parametric excitation of viscoelastic plates. Mechanics of Structures and Machines 20 (1):37–51. doi:https://doi.org/10.1080/08905459208905159.
- Chiou, C., and M. Shahinpoor. 1990. Dynamic stability analysis of a two-link force-controlled flexible manipulator. Journal of Dynamic Systems, Measurement, and Control 112 (4):661–6. doi:https://doi.org/10.1115/1.2896192.
- Dogan, M., and O. Morgul. 2010. On the control of two-link flexible robot arm with non-uniform cross section. Journal of Vibration and Control 16 (5):619–46. doi:https://doi.org/10.1177/1077546309340994.
- Farokhi, H., and M. H. Ghayesh. 2017. Nonlinear resonant response of imperfect extensible Timoshenko microbeams. International Journal of Mechanics and Materials in Design 13 (1):43–55. doi:https://doi.org/10.1007/s10999-015-9316-z.
- Ghayesh, M. H. 2010. Parametric vibrations and stability of an axially accelerating string guided by a non-linear elastic foundation. International Journal of Non-Linear Mechanics 45 (4):382–94. doi:https://doi.org/10.1016/j.ijnonlinmec.2009.12.011.
- Ghayesh, M. H. 2018. Functionally graded microbeams: Simultaneous presence of imperfection and viscoelasticity. International Journal of Mechanical Sciences 140:339–50. doi:https://doi.org/10.1016/j.ijmecsci.2018.02.037.
- Ghayesh, M. H. 2012. Subharmonic dynamics of an axially accelerating beam. Archive of Applied Mechanics 82 (9):1169–81. doi:https://doi.org/10.1007/s00419-012-0609-5.
- Ghayesh, M. H., and M. Amabili. 2013. Nonlinear dynamics of an axially moving Timoshenko beam with an internal resonance. Nonlinear Dynamics 73 (1–2):39–52. doi:https://doi.org/10.1007/s11071-013-0765-3.
- Ghayesh, M. H., and N. Moradian. 2011. Nonlinear dynamic response of axially moving, stretched viscoelastic strings. Archive of Applied Mechanics 81 (6):781–99. doi:https://doi.org/10.1007/s00419-010-0446-3.
- Ghayesh, M. H., and S. Balar. 2008. Non-linear parametric vibration and stability of axially moving visco-elastic Rayleigh beams. International Journal of Solids and Structures 45 (25–26):6451–67. doi:https://doi.org/10.1016/j.ijsolstr.2008.08.002.
- Ghayesh, M. H., H. Farokhi, and G. Alici. 2015. Subcritical parametric dynamics of microbeams. International Journal of Engineering Science 95:36–48. doi:https://doi.org/10.1016/j.ijengsci.2015.06.001.
- Ghayesh, M. H., S. Kazemirad, and T. Reid. 2012. Nonlinear vibrations and stability of parametrically exited systems with cubic nonlinearities and internal boundary conditions: A general solution procedure. Applied Mathematical Modelling 36 (7):3299–311. doi:https://doi.org/10.1016/j.apm.2011.09.084.
- Jin, C., and T. S. Sankar. 1992. A systematic method of dynamics for flexible robot manipulators. Journal of Robotic Systems 9 (7):861–91. doi:https://doi.org/10.1002/rob.4620090702.
- Korayem, M. H., and A. M. Shafei. 2015. A new approach for dynamic modeling of n-viscoelastic-link robotic manipulators mounted on a mobile base. Nonlinear Dynamics 79 (4):2767–86. doi:https://doi.org/10.1007/s11071-014-1845-8.
- Korayem, M. H., A. M. Shafei, M. Doosthoseini, F. Absalan, and B. Kadkhodaei. 2016. Theoretical and experimental investigation of viscoelastic serial robotic manipulators with motors at the joints using Timoshenko beam theory and Gibbs–Appell formulation. Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-Body Dynamics 230 (1):37–51. doi:https://doi.org/10.1177/1464419315574406.
- Korayem, M. H., A. M. Shafei, and H. R. Shafei. 2012. Dynamic modeling of nonholonomic wheeled mobile manipulators with elastic joints using recursive Gibbs–Appell formulation. Scientia Iranica 19 (4):1092–104. doi:https://doi.org/10.1016/j.scient.2012.05.001.
- Kumar, P., and B. Pratiher. 2019. Modal characterization with nonlinear behaviors of a two-link flexible manipulator. Archive of Applied Mechanics 89 (7):1201–20. doi:https://doi.org/10.1007/s00419-018-1472-9.
- Kumar, P., and B. Pratiher. 2020. Modal analysis and dynamic responses of a rotating Cartesian manipulator with generic payload and asymmetric load. Mechanics Based Design of Structures and Machines 48 (1):48–67. doi:https://doi.org/10.1080/15397734.2019.1624174.
- Low, K. H., and M. M. Vidyasagar. 1988. A Lagrangian formulation of the dynamic model for flexible manipulator systems. Journal of Dynamic Systems, Measurement, and Control 110 (2):175–81. doi:https://doi.org/10.1115/1.3152668.
- Mehrjooee, O., S. F. Dehkordi, and M. H. Korayem. 2020. Dynamic modeling and extended bifurcation analysis of flexible-link manipulator. Mechanics Based Design of Structures and Machines 48 (1):87–110. doi:https://doi.org/10.1080/15397734.2019.1665542.
- Piedboeuf, J.-C., and B. Moore. 2002. On the foreshortening effects of a rotating flexible beam using different modeling methods. Mechanics of Structures and Machines 30 (1):83–102. doi:https://doi.org/10.1081/SME-120001478.
- Pratiher, B., and S. K. Dwivedy. 2011. Nonlinear vibrations and frequency response analysis of a cantilever beam under periodically varying magnetic field. Mechanics Based Design of Structures and Machines 39 (3):378–91. doi:https://doi.org/10.1080/15397734.2011.557972.
- Qiu, Z., C. Li, and X. Zhang. 2019. Experimental study on active vibration control for a kind of two-link flexible manipulator. Mechanical Systems and Signal Processing 118:623–44. doi:https://doi.org/10.1016/j.ymssp.2018.09.001.
- Wu, S., S. Tang, and K. Huang. 2018. Vibration attenuation of a two-link flexible arm carried by a translational stage. Journal of Vibration and Control 24 (23):5650–64. doi:https://doi.org/10.1177/1077546318763437.
- Xu, L., and Q. Yang. 2015. Multi-field coupled dynamics for a micro beam. Mechanics Based Design of Structures and Machines 43 (1):57–73. doi:https://doi.org/10.1080/15397734.2014.928221.
- Yang, H., Y. Yu, Y. Yuan, and X. Fan. 2015. Back-stepping control of two-link flexible manipulator based on an extended state observer. Advances in Space Research 56 (10):2312–22. doi:https://doi.org/10.1016/j.asr.2015.07.036.