Spatial Correlation in Acoustic-Structural Coupling

Abstract

The response characteristics of beams and flat rectangular panels excited by specific acoustic fields are analyzed mathematically. Acoustic-structural coupling-coefficient (joint acceptance squared) frequency spectra indicate a marked sensitivity to changes in the spatial-correlation distribution. Panel mode shapes progressively lose their wavelength selectivity as spatial correlation decreases.

The Response of Simple Panels to Turbulent Boundary Layer Excitation

“…The joint acceptance terms, also, are larger for simply supported mode shapes than for fully fixed mode shapes, and Bozich (1964) has shown that for some conditions of acoustic excitation the difference is a factor of 2, approximately. However, the changes in M and JI (w) will act in opposition in the response function of equation (2.45), so that the combined effect should exhibit only a small variation with panel boundary conditions.…”

“…The disappearance of the wavelength matching peaks in the joint acceptance terms, to be discussed in Chapter 2, is shown in work by Bozich (1964) when the excitation decays very rapidly.…”

“…Bozich (1964) has compared results for simply-supported and fully fixed plates subjected to acoustic excitation and has shown that, exce-for a very rapidly decaying excitation field, the assumption of simply-supported V boundaries overestimates the response by a factor of up to two. However, the variation of response with frequency is similar for the tvo edge conditions.…”

Some Useful Approximations for Determining the Vibration of Structures Excited by Random Pressures

“…(8) directly for chosen analytical forms, such as an exponentially decaying cosine in conjunction with sinusoidal modes. 6 The new result, Eq. (11), is certainly much easier to handle than is the original double integral, Eq.…”