Investigation of Shear Induced Vibrations of Piezoceramic Cylindrical Shell

Present work investigates the shear induced vibration behavior of piezoceramic cylindrical shells using Rayleigh–Ritz method. In the piezoceramic actuators, the d ₁₅ effect is very attractive for the applications, as the shear piezoelectric coefficient d ₁₅ is much higher than d ₃₁ and d ₃₃. Due to the coupling of electric and mechanical terms the dynamic analysis of piezoelectric continuum is fairly complex. For a moderately complex piezoceramic model, such as shells, the application of an analytical approach to obtain the closed form solution is very exigent. The approximate energy methods, known as the Rayleigh–Ritz method is implemented in the present work to obtain the eigenvectors and eigenfrequencies for piezoceramic shell. The Gram-Schmidt method is used for generating the orthogonal polynomial functions and these polynomial functions are used in the Rayleigh–Ritz method. Adaptability for software implementation is the key advantage of the methodology presented herein, which reduces the efforts to obtain fairly accurate results for more complex piezoceramic structures. The presented numerical results shall be useful in designing more efficient devices such as torsional actuators and shell type ultrasonic motors based on shear effect.