References
- Andreaus, U., and P. Casini. 2001. Forced motion of friction oscillators limited by a rigid or deformable obstacle. Mechanics of Structures and Machines 29 (2):177–98. doi:10.1081/SME-100104479.
- Cao, H., X. Chi, and G. Chen. 2004. Suppressing or inducing chaos in a model of robot arms and mechanical manipulators. Journal of Sound Vibrations 271 (3–5):705–24. doi:10.1016/S0022-460X(03)00382-1.
- de Paula, A. S., and M. A. Savi. 2009. Controlling chaos in a nonlinear pendulum using an extended time-delayed feedback control method. Chaos, Solitons & Fractals 42 (5):2981–88. doi:10.1016/j.chaos.2009.04.039.
- Ding, H., X. Tan, G.-C. Zhang, and L.-Q. Chen. 2016. Equilibrium bifurcation of high-speed axially moving Timoshenko beams. Acta Mechanica 227 (10):3001–14. doi:10.1007/s00707-016-1677-3.
- Farokhi, H., and M. H. Ghayesh. 2018. Supercritical nonlinear parametric dynamics of Timoshenko microbeams. Communications in Nonlinear Science and Numerical Simulation 59:592–605. doi:10.1016/j.cnsns.2017.11.033.
- Ghayesh, M. H. 2012a. Stability and bifurcations of an axially moving beam with an intermediate spring support. Nonlinear Dynamics 69 (1–2):193–210. doi:10.1007/s11071-011-0257-2.
- Ghayesh, M. H. 2012b. Subharmonic dynamics of an axially accelerating beam. Archive of Applied Mechanics 82 (9):1169–81. doi:10.1007/s00419-012-0609-5.
- Ghayesh, M. H. 2018. Nonlinear vibration analysis of axially functionally graded shear-deformable tapered beams. Applied Mathematical Modelling 59:583–96. doi:10.1016/j.apm.2018.02.017.
- Ghayesh, M. H., and M. Amabili. 2013. Parametric stability and bifurcations of axially moving viscoelastic beams with time-dependent axial speed. Mechanics Based Design of Structures and Machines 41:359–81. doi:10.1080/15397734.2013.771093.
- Ghayesh, M. H., M. Amabili, and H. Farokhi. 2013. Coupled global dynamics of an axially moving viscoelastic beam. International Journal of Non-Linear Mechanics 51:54–74. doi:10.1016/j.ijnonlinmec.2012.12.008.
- Ghayesh, M. H., and H. Farokhi. 2015. Chaotic motion of a parametrically excited microbeam. International Journal of Engineering Science 96:34–45. doi:10.1016/j.ijengsci.2015.07.004.
- Ghayesh, M. H., and H. Farokhi. 2016. Nonlinear dynamical behavior of axially accelerating beams: three-dimensional analysis. Journal of Computational and Nonlinear Dynamics 11:1–16. doi:10.1115/1.4029905..
- Korayem, M. H., S. F. Dehkordi, M. Mojarradi, and P. Monfared. 2019. Analytical and experimental investigation of the dynamic behavior of a revolute-prismatic manipulator with N flexible links and hubs. International Journal of Advanced Manufacturing Technology 103 (5–8):2235–56. doi:10.1007/s00170-019-03421-x.
- Korayem, M. H., and A. M. Shafei. 2013. Application of recursive Gibbs-Appell formulation in deriving the equations of motion of N-viscoelastic robotic manipulators in 3D space using Timoshenko Beam Theory. Acta Astronautica 83:273–94. doi:10.1016/j.actaastro.2012.10.026.
- Korayem, M., A. 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:10.1177/1464419315574406.
- Kumar, P., and B. Pratiher. 2019a. Modal analysis and dynamic responses of a rotating Cartesian manipulator with generic payload and asymmetric load. Mechanics Based Design of Structures and Machines 1–20. doi:10.1080/15397734.2019.1624174.
- Kumar, P., and B. Pratiher. 2019b. Nonlinear modeling and vibration analysis of a two-link flexible manipulator coupled with harmonically driven flexible joints. Mechanism and Machine Theory 131:278–99. doi:10.1016/j.mechmachtheory.2018.09.016.
- Kwak, B. M., and J. H. Kim. 2002. Concept of allowable load set and its application for evaluation of structural integrity. Mechanics of Structures and Machines 30 (2):213–47. doi:10.1081/SME-120003017.
- Lankalapalli, S., and A. Ghosal. 1997. Chaos in robot control equations. International Journal of Bifurcation and Chaos 7 (3):707–20. doi:10.1142/S0218127497000509.
- Lengyel, A., and Z. You. 2003. Analogy between bifurcations in stability of structures and kinematics of mechanisms. Mechanics Based Design of Structures and Machines 31 (4):491–507. doi:10.1081/SME-120023168.
- Mao, X. Y., H. Ding, and L. Q. Chen. 2017a. Forced vibration of axially moving beam with internal resonance in the supercritical regime. International Journal of Mechanical Sciences 131–132:81–94. doi:10.1016/j.ijmecsci.2017.06.038.
- Mao, X. Y., H. Ding, and L. Q. Chen. 2017b. Dynamics of a super-critically axially moving beam with parametric and forced resonance. Nonlinear Dynamics 89 (2):1475–87. doi:10.1007/s11071-017-3529-7.
- 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:10.1080/15397734.2011.557972.
- Rehlicki, L. Z., M. B. Janev, B. N. Novaković, and T. M. Atanacković. 2018. On post-critical behavior of a beam on an elastic foundation. International Journal of Structural Stability and Dynamics 18 (6):1850082. doi:10.1142/S0219455418500827.
- Sandeep Reddy, B., and A. Ghosal. 2015. Nonlinear dynamics of a rotating flexible link. Journal of Computational and Nonlinear Dynamics 10:6–14. doi:10.1115/1.4028929.
- Starrett, J., and R. Tagg. 1995. Control of a chaotic parametrically driven pendulum. Physical Review Letters 74 (11):1974–77. doi:10.1103/PhysRevLett.74.1974.
- Tjahjowidodo, T., F. Al-Bender, and H. Van Brussel. 2007. Quantifying chaotic responses of mechanical systems with backlash component. Mechanical Systems and Signal Processing 21 (2):973–93. doi:10.1016/j.ymssp.2005.11.003.
- Vakakis, A. F., and J. W. Burdick. 1990. Chaotic motions in the dynamics of a hopping robot. Proceedings of the IEEE International Conference on Robotics and Automation, Cincinnati, OH, USA, May 13–18, IEEE Computer Society Press, 1464–9. doi:10.1109/ROBOT.1990.126212.
- Wiggins, S. 1988. Global bifurcations and chaos. New York: Springer.