Nonlinear Vibration Analysis of Piezoelectric Functionally Graded Porous Timoshenko Beams

Document Type: Original Article


1 Department of Aerospace Engineering, Shahid Sattari Aeronautical University of Science and Technology, Tehran , Iran

2 Aerospace Faculty, Shahid Sattry Aeronautical University of Science and Technology

3 Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University, Qazvin, Iran


In this paper, nonlinear vibration analysis of functionally graded piezoelectric (FGP) beam with porosities material is investigated based on the Timoshenko beam theory. Material properties of FG porous beam are described according to the rule of mixture which modified to approximate material properties with porosity phases. The Ritz method is used to obtain the governing equation which is then solved by a direct iterative method to determine the nonlinear vibration frequencies of FGP porous beam subjected to different boundary conditions. The effects of external electric voltage, material distribution profile, porosity volume fraction, slenderness ratios and boundary conditions on the nonlinear vibration characteristics of the FGP porous beam are discussed in detail. The results indicate that piezoelectric layers have significant effect on the nonlinear frequencies. Also it is found that the porosity has a considerable influence on the nonlinear frequency and these effects increased especially when the electric voltage is applied.


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