Investigation of the Photothermal Excited Microcantilevers Based on Modified Couple Stress Theory

  • Y. Q. SongEmail author
  • B. Cretin
  • D. M. Todorovic
  • P. Vairac


In microscale and sub-micron scale, scale effect highlights and the classical continuum mechanics cannot describe microstructure-dependent size effects. So many non-classical theories were put forward. The modified couple stress theory was established by introducing a material parameter to characterize the scale effect. In this paper, the dynamic responses of microcantilever under photothermal excitation are studied using the modified couple stress theory. The microcantilever deflection governing equation was given, and deflections were obtained numerically using relaxation method. Comparison was made between numerical results with that obtained with experimental measurement and showed a good agreement. According to the numerical results, the scale effect becomes remarkable as the ratio of thickness to the material parameter changes from zero to one. Also, the results showed that this ratio has prominent effect on the resonant frequency of microcantilever.


Microcantilever vibration Modified couple stress theory Photothermal Relaxation method 



The work was supported by the National Natural Science Foundation of China (Grants Nos. 11672224 and 11272243), the Fundamental Research Funds for the Central Universities and the Scientific Research Program Funded by Shaanxi Provincial Education Department (Program No. 13JS103).


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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  • Y. Q. Song
    • 1
    Email author
  • B. Cretin
    • 2
  • D. M. Todorovic
    • 3
  • P. Vairac
    • 2
  1. 1.State Key Laboratory for Strength and Vibration of Mechanical Structures, School of Aerospace EngineeringXi’an Jiaotong UniversityXi’anPeople’s Republic of China
  2. 2.Femto-ST, Université, de Franche-Comté, CNRS, ENSMM, UTBMBesanҫonFrance
  3. 3.Institute for Multidisciplinary Research, University of BelgradeBelgradeSerbia

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