Turbulent‐Flow‐Excited Vibration of a Simply Supported, Rectangular Flat Plate

An analytic solution is obtained for the plate‐velocity statistics of a turbulent‐flow excited, simply supported, rectangular flat plate. The radiated acoustic pressure is neglected as contributing to the plate excitation, leaving only the turbulent‐boundary‐layer pressure fluctuations as the exciting force. The mathematical model for the turbulent‐boundary‐layer pressure statistics is based on that of Corcos, which agrees well with experiment. Plate‐velocity statistics are expressed in the forms of dimensionless cross‐power spectral and power spectral densities. Plate‐velocity‐spectral and cross‐spectral densities were obtained with a digital computer for selected flow and plate parameters. From these computed dimensionless spectra, effects of major parameters on the plate‐velocity statistics were determined. A “peak spectrum,” constructed by connecting major spectral peaks of the plate‐velocity‐spectral density, proved to be a useful engineering concept, inasmuch as knowledge of the “peak spectrum” is e...