Chapter 4

Vibration of Plates

This chapter analyzes the vibration of thin plates. After reviewing the general plate equations, two situations are considered separately: (a) axial in-plane vibration of plates; and (b) flexural out-of-plane vibration of plates. Both rectangular coordinates and cylindrical coordinates are used, as appropriate. For rectangular plates, simplified solutions are derived for straight-crested axial and flexural vibrations and compared with the corresponding 1-D cases discussed in Chapter 3. General solutions for the 2-D flexural vibration of rectangular plates are given from the literature. The vibration of circular plates is treated in terms of Bessel functions. Closed-form solutions are derived for axisymmetric vibration ...

Get Structural Health Monitoring with Piezoelectric Wafer Active Sensors, 2nd Edition now with the O’Reilly learning platform.

O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.