Structural Acoustics

Fundamentals of Structures and Analysis of Beams 63

© 2011 by Taylor and Francis Group, LLC

4.6.3  Addition of Water Loading

Using the piston assumption as given in Chapter 3, the value of C is as

follows:

C C C j

d o o

= + +ρ θ χ( )

(4.37)

where

C

d

is the damping constant

ρ

o

is the density of the uid

C

o

is the sound velocity in the uid

θ is the uid damping function

χ is the uid mass addition

TABLE4.1

Comparison of Green’s Functions for a 20-in. Timoshenko Beam

G(x,10) × 10

–5

f = 100 Hz G(x,10) × 10

–6

f = 600 Hz G(x,10) × 10

–7

f = 2575 Hz

x

From

Ref. 5

Timo

Program

In

Water x

From

Ref. 5

Timo

Program

In

Water x

From

Ref. 5

Timo

Program

In

Water

5.0 0.33 0.39 ...