The Application Of Differential Quadrature Element Method In Vibration Analysis Of Periodic Piezoelectric Plates

Periodic structure exhibits a dynamic character of the so-called frequency band gap in which the wave cannot propagate and the vibrations are attenuated. In this paper, dispersion properties of two-dimensional periodic composite plates are studied. It is found that periodic structures with frequency band gaps can inhibit elastic waves of specific frequency from spreading, which is a novel method to attenuate vibration.The following content mainly includes three parts as following:1. The paper introduces a new method, the so-called Differential Quadrature Element Method (DQEM) to solve the band structure of two-dimensional periodic structure, whose scatter can be in any shapes. Through comparison with other methods, the correctness and good convergence of the proposed method are proved.2. Based on the DEQM, periodic pile and periodic composite plate are derived theoretically, and band structures of these periodic structures are calculated by drawing up Mat lab codes. Further, dynamic property of finite periodic composite plate is simulated by using ANSYS. From the displacement response functions, attenuation zones are found in the frequency region of band gaps of infinite periodic structure, which means that investigations of band structures of infinite periodic structures are helpful to design finite periodic structure.3. The influence of material and geometric parameters on the complete and direction band gaps are discussed and it is found that with proper design periodic structure can isolate waves/vibration in specific frequency regions.