Nonlinear Dynamics

, Volume 84, Issue 1, pp 355–370 | Cite as

Nonlinear dynamics of thin plates excited by a high-power ultrasonic transducer

  • Zhaojiang Chen
Original Paper


Strong superharmonic and high-order subharmonic vibrations of thin metal plates are observed in the experiments when a high-power ultrasonic transducer is used to excite plate vibrations. A finite element model and a lumped-mass discrete parameter model are established, respectively, and numerical simulations are carried out to study the mechanism of nonlinear vibrations. The plate vibrations are characterized by time series, power spectra, phase portraits, Poincaré maps and bifurcation diagram. It can be seen that the contact force waveform distortion is the reason for generating superharmonic vibration, while the intermittent contact between the thin plates and the ultrasonic transducer is the cause of subharmonic vibrations in the plates. The FEM simulation results are in agreement with the numerical results obtained from the discrete model, which have implications for the predication and control of nonlinear vibrations in ultrasonic assisted manufacturing and testing.


Nonlinear dynamics Vibro-impact Plate vibration  Ultrasonic transducer Superharmonic and subharmonics 



This work was supported by the National Natural Science Foundation of China under Grant Nos. 11304286, 11274279 and 11174255, and the Fund of the State Key Laboratory of Acoustics, Chinese Academy of Sciences under Grant No. SKLA201404. The author gratefully acknowledges these supports.


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Copyright information

© Springer Science+Business Media Dordrecht 2015

Authors and Affiliations

  1. 1.Department of PhysicsZhejiang Normal UniversityJinhuaChina
  2. 2.State Key Laboratory of Acoustics, Institute of AcousticsChinese Academy of SciencesBeijingChina

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