傾斜機能性圧電平板における動的弾性逆問題の特性曲線解析

抄録

This study deals with an inverse elastodynamic problem in a functionally graded piezoelectric thin plate. All response quantities are considered to be initially zero. It is assumed that the top surface of the thin plate is fixed to a flat rigid body and the bottom surface is subjected to an unknown impact pressure and that a voltage induced between the top and bottom surfaces is known. First, solving the equation of electrodynamics under the electrical initial and boundary conditions, the electric potential is derived. The elastic constitutive equation and the equation of motion which govern the particle velocity and stress are solved by employing the method of characteristics. The variation of material properties is assumed to be expressed as exponential functions of the space-variable. Numerical results are obtained when the material at the top surface of the thin plate is taken to be PZT-4. Finally, time history of stress at the bottom is illustrated graphically.