Study on the Vibration of Optically Excited Microcantilevers Under Fractional-Order Thermoelastic Theory

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• 作者：Yaqin Song (1) (2)
  Jintao Bai (2)
  Zheng Zhao (3)
  Yongfeng Kang (4)
  
  1. State Key Laboratory for Strength and Vibration of Mechanical Structures ; School of Aerospace ; Xi鈥檃n Jiaotong University ; Xi鈥檃n ; 710049 ; People鈥檚 Republic of China
  2. National Key Laboratory of Photoelectric Technology and Functional Materials (Culture Base) and Shaanxi Provincial Key Laboratory of Photoelectronic Technology ; Northwest University ; Shaanxi ; 710069 ; People鈥檚 Republic of China
  3. Department of Medical Oncology ; Shaanxi Provincial Tumor Hospital and Institute of Prevention and Treatment of Cancer ; No. 309 ; Yanta West Street ; Xi鈥檃n ; People鈥檚 Republic of China
  4. School of Electronic and Information Engineering ; Xi鈥檃n Jiaotong University ; Xi鈥檃n ; 710049 ; People鈥檚 Republic of China
  
• 关键词：Fractional ; order differential ; Microcantilever vibration ; Photothermal ; Thermoelastic wave
• 刊名：International Journal of Thermophysics
• 出版年：2015
• 出版时间：April 2015
• 年：2015
• 卷：36
• 期：4
• 页码：733-746
• 全文大小：307 KB
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• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Condensed Matter
  Mechanics
  Industrial Chemistry and Chemical Engineering
  Physical Chemistry
  
• 出版者：Springer Netherlands
• ISSN：1572-9567

文摘

Coupled theories of fractional-order heat conduction and elastic waves were used to study the vibration of microcantilevers during a photothermal process in this paper. By means of the Laplace transform technique, expressions for the field quantities (temperature and deflection) were obtained analytically in the Laplace transform domain. Using Bromwich contour intergration, the solution of field quantities was given numerically and graphically in the time domain. The obvious vibration characterization can be observed for microcantilevers under laser excitation. The results showed that the parameter of fractional order, i.e., conductibility of material, had a significant effect on the temperature and deflection of a microcantilever. Also, the change of field quantities with frequency and time was given illustratively for different fractional-order parameters.