%0 Journal Article %T Modeling and analysis of a three-component piezoelectric force sensor %J Journal of Mathematical Modeling %I University of Guilan %Z 2345-394X %A Shao, Fu %D 2016 %\ 08/01/2016 %V 4 %N 1 %P 59-78 %! Modeling and analysis of a three-component piezoelectric force sensor %K piezoelectric %K force sensor %K nonlinear vibration analysis %K weakly nonlinear electroelasticity %R %X This paper presents a mathematical model for the vibration analysis of a three-component piezoelectric force sensor. The cubic theory of weakly nonlinear electroelasticity is applied to the model for describing the electromechanical coupling effect in the piezoelectric sensing elements which operate in thickness-shear and thickness-stretch vibration modes. Hamilton's principle is used to derive motion and charge equations for the vibration analysis. The model can predict the performance of the force sensor for use in proposed cutting force measurement. %U https://jmm.guilan.ac.ir/article_1806_d5d1883675b01e114f61b18a8ebbdff7.pdf