A NORMAL MODE EXPANSION METHOD FOR THE UNDAMPED FORCED VIBRATION OF LINEAR PIEZOELECTRIC SOLID

✍ Scribed by D.-C. LIU

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 220 KB
• Volume: 233
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1999.2818

✦ Synopsis

A normal mode expansion method for the vibrational responses of non-homogeneous linear piezoelectric materials without damping is presented. It can be applied directly to arbitrary piezoelectric composites, which are widely used in vibrational and acoustic sensor/actuator/transmitter applications. In the present article it is shown that if the normal modes are given, the displacement "eld can be expanded as the linear superposition of normal modes, while the modal coe$cients can be represented in terms of surface and volume integrals directly over the six types of distributed excitations without solving the quasi-static solution explicitly. The present treatment is a modi"cation of an earlier work by Liu [11] using a di!erent de"nition of the so-called quasi-static solution, and the damping e!ect has been neglected for simplicity. A simple example is given to exemplify the application of the present formulation.