Abstract
The nonlinear harmonic vibration system that synchronously excited by two eccentric rotors is a kind of typical synchronous vibration machine which possesses the typical coupled motion characteristics. Because of the nonlinear vibration motion of the vibrating body, which make the two eccentric rotors to reach the coupling synchronous rotary motion, and the coupling action will result in the change of the motion characteristics and movement patterns for the two eccentric rotors, eventually to achieve the coupling synchronous motion. Based on the nonlinear vibration theory, the paper has established the electromechanical coupling nonlinear dynamics equations of the nonlinear harmonic vibration system. By analyzing the coupling factor of the two eccentric rotors, the influence to the equilibrium state of the nonlinear vibration system because of the nonlinear coupling strength has been discussed, and the synchronous movement evolution procedure of the two eccentric rotors has been researched further. Based on the research result, the engineering method that to design the structural parameters of the nonlinear harmonic synchronization vibration machine which excited by two eccentric rotors has been deduced in the paper also.
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References
Wen, B.C., Zhao, C.Y., Su, D.H.: Vibration Synchronization and Control Synchronization of the Machine System. Science Press, Bingjing (2003)
Blekhman, I.I., Fradkov, A.L., Tomchina, O.P.: Self-synchronization and Controlled Synchronization: General Definition and Example Design. Math. Comput. Simul. 58, 367–384 (2002)
Ke, L.L., Wang, Y.S., Yang, J., Kitipornchai, S.: Nonlinear free vibration of size-dependent functionally graded microbeams. Int. J. Eng. Sci. 50, 256–267 (2012)
Huang, X.L., Jia, X.L., Yang, J., Wu, Y.F.: Nonlinear vibration and dynamic response of three-dimensional braided composite plates. Mech. Adv. Mater. Struct. 15, 53–63 (2008)
Kanchan, R.S., Gopakumar, K., Kennel, R.: Synchronized Carrier-based SVPWM Signal Generation Scheme for the Entire Modulation Range Extending up to Six-step Mode Using the Sampled Amplitudes of Reference Phase Voltages. IET Electr. Power Appl. 1, 407–415 (2007)
Ebrahimi, F., Rastqoo, A., Bahrami, M.N.: Investigating the thermal environment effects on geometrically nonlinear vibration of smart functionally graded plates. J. Mech. Sci. Technol. 24, 775–791 (2010)
Ghayesh, M.H., Kazemirad, S., Reid, T.: Nonlinear vibrations and stability of parametrically exited systems with cubic nonlinearities and internal boundary conditions: A general solution procedure. Appl. Math. Modell. 36, 3299–3311 (2012)
Saranqi, S.K., Ray, M.C.: Active damping of geometrically nonlinear vibrations of laminated composite shallow shells using vertically/obliquely reinforced 1-3 piezoelectric composites. Int. J. Mech. Mater. Des. 7, 29–44 (2011)
Yacamini, R., Smith, K.S., Ran, L.: Monitoring Torsion Vibrations of Electromechanical Systems Using Stator Currents. ASME J. Vib. Acoustics 120, 72–79 (1998)
Zhang, G.C., Hu, D., Chen, L.Q., Yang, S.P.: Galerkin method for steady-state response of nonlinear forced vibration of axially moving beams at supercritical speeds. J. Sound Vib. 331, 1612–1623 (2012)
Shooshtari, A., Khadem, S.E.: A multiple scales method solution for the free and forced nonlinear transverse vibrations of rectangular plates. Struct. Eng. Mech. 24, 543–560 (2006)
Chen, Y.S., Cao, D.Q., Wu, Z.Q.: Recent Developments in Nonlinear Dynamics: Theory and Its Applications in Mechanical Systems. J. Astronautics 28, 794–804 (2007)
Chorfi, S.M., Houmat, A.: Nonlinear free vibration of a moderately thick doubly curved shallow shell of elliptical plan-form. Int. J. Comput. Methods 6, 615–632 (2009)
Alijani, F., Arnabili, M., Bakhtiari, N.F.: Thermal effects on nonlinear vibrations of functionally graded doubly curved shells using higher order shear deformation theory. Compos. Struct. 93, 2541–2453 (2011)
Younesian, D., Cao, D.Q., Wu, Z.Q.: Nonlinear vibration of a three-dimensional moving gantry crane subjected to a travelling trolley hoisting a swinging object. Trans. Can. Soc. Mech. Eng. 34, 333–350 (2010)
Guo, P.F., Lang, Z.Q., Peng, Z.K.: Analysis and design of the force and displacement transmissibility of nonlinear viscous damper based vibration isolation systems. Nonlinear Dyn. 67, 2671–2687 (2012)
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Li, X., Zhang, Z. (2012). Analysis of the Coupling Action in Nonlinear Harmonic Vibration Synchronization System. In: Liu, B., Ma, M., Chang, J. (eds) Information Computing and Applications. ICICA 2012. Lecture Notes in Computer Science, vol 7473. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34062-8_91
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DOI: https://doi.org/10.1007/978-3-642-34062-8_91
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-34061-1
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