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An Experimental Approach Based on Electronic Circuits for Verifying Dynamic Mechanical Behavior of a Harmonically Forced System with Clearances

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Abstract

Two electronic circuits are designed according to the dynamical model of a harmonically forced system with clearances by both conventional approach and SC-CNN strategy. Dynamics of the piecewise smooth mechanical system, in low forcing frequency domain, is investigated by double-parameter simulation analysis and experiment conducted on these two electronic circuits. The outputs of the designed circuits are well consistent with the numerical results of the mechanical model, which validates the experimental approach.

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References

  1. P. Arena, S. Baglio, L. Fortuna, G. Manganaro, Simplified scheme for realization of Chua oscillator by using SC-CNN cells. Electron. Lett. 37(21), 1794–1795 (1995)

    Article  Google Scholar 

  2. L.O. Chua, G.N. Lin, Canonical realization of Chua’s circuit family. IEEE Trans. Circuits Syst. I 37(7), 885–902 (1990)

    Article  MathSciNet  MATH  Google Scholar 

  3. B.K. Clark, R.F. Martin, R.J. Moore, K.E. Jesse, Fractal dimension of the strange attractor of the bouncing ball circuit. Am. J. Phys. 63(2), 157–163 (1995)

    Article  Google Scholar 

  4. S. Kundu, S. Banerjee, J. Ing, E. Pavlovskaia, M. Wiercigroch, Singularities in soft-impacting systems. Phys. D 241(22), 553–565 (2012)

    Article  MATH  Google Scholar 

  5. M. Nouri, GhR Karimi, A. Ahmadi, D. Abbott, Digital multiplierless implementation of the biological FitzHugh–Nagumo model. Neurocomputing 165, 468–476 (2015)

    Article  Google Scholar 

  6. I. Pehlivan, I.M. Moroz, S. Vaidyanathan, Analysis, synchronization and circuit design of a novel butterfly attractor. J. Sound Vib. 333, 5077–5096 (2014)

    Article  Google Scholar 

  7. S. Sabarathinam, K. Thamilmaran, Transient chaos in a globally coupled system of nearly conservative Hamiltonian Duffing oscillators. Chaos Solitons Fract. 73, 129–140 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  8. R.L. Zimmerman, S. Celaschi, L.G. Neto, The electronic bouncing ball. Am. J. Phys. 60(4), 370–375 (1992)

    Article  Google Scholar 

Download references

Acknowledgements

The work reported in this paper is supported by Innovation and Entrepreneurship Talents Training Project of Lanzhou City (2014-RC-33), Research Fund for the Doctoral Program of Higher Education of China (20126204110001), Science and Technology Plan Projects of Lanzhou City (2012-2-116) and Innovative Research Group Foundation of Gansu Province of China (1308RJIA006).

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Correspondence to Zheng Wang.

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Wang, Z., Luo, T. An Experimental Approach Based on Electronic Circuits for Verifying Dynamic Mechanical Behavior of a Harmonically Forced System with Clearances. Circuits Syst Signal Process 36, 3835–3842 (2017). https://doi.org/10.1007/s00034-016-0490-5

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  • DOI: https://doi.org/10.1007/s00034-016-0490-5

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