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Extra resources for Engineering vibroacoustic analysis : methods and applications

Sample text

22) k has dimensions of radians/length. Wavenumbers may be defined for any wave type—­ structural and acoustic, and used to describe free waves or standing waves in resonances (we will do this for modes in the next section). It is common to use wavenumber ratios to diagnose 22 Engineering Vibroacoustic Analysis how well structures interact with surrounding fluids. We will discuss this more in Chapter 4. It is also common to normalize wavenumber with a characteristic dimension, usually denoted a, computing the quantity ka, which has the dimension of radians.

9 shows a typical aircraft fuselage, with stiffening elements around the circumference (bulkheads) and along the panel length (stringers, or longerons). 9 A stiffened aircraft fuselage The effects of the ribs on the flexural rigidity and panel mass are simple to estimate. The panel mass is simply the sum of that of the panel and stiffeners, and an equivalent “smeared” density may be estimated based on the rib spacing. 21) stiffener where Dpanel may be computed for isotropic, anisotropic, or sandwich panels, Istiffener is the inertia of the beam stiffener, including the offset from the panel neutral axis, and Δstiffener is the spacing between stiffeners.

However, when k12 is added, each oscillator’s effective stiffness changes. Also, the masses of the other oscillators affect the overall system dynamics. 28 Coupled oscillator response to a drive on oscillator 1 2 000 44 Engineering Vibroacoustic Analysis those of the uncoupled oscillators. 60) 2 which may be solved easily for the roots m2 using commercial software like Matlab (for this problem ω1 and ω2 are 1126 and 1142 Hz). Note that if k12 is very small, the roots are just those of the uncoupled oscillators (ki/mi).

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