Vibroacoustic Simulation

Appendix C Symbols

Table C.1 Greek Symbols I

${\alpha }_s$	Absorption coefficient
${\beta }_x,{\beta }_y,{\beta }_z$	Positive rotation around $x$, $y$, and $z$-axis
$\mathrm{\Delta }\omega$	Angular frequency bandwidth
$\mathrm{\Delta }T$	Sampling interval
$\alpha$	Decay rate
${\alpha }_x$	Strain damping coefficient
$\delta (\cdot )$	Dirac delta function
${\delta }_{BC}$	Correction factor for certain boundary condition
$\zeta$	Critical damping ratio
$\eta$	Damping loss factor
${\eta }_m,{\eta }_{mm}$	Damping loss factor of $m$th system
${\eta }_{mn}$	Coupling loss factor of system $m$ to $n$
$\vartheta$	Azimuthal angle
$\kappa =c_v/c_p$	Specific heat ratio
$\lambda$	Wavelength, first Lamé coefficient
$\mu$	Frequency ratio, ratio factor
$\nu$	Poisson ratio
$\rho$	Density
${\rho }_{fg}$	Correlation between $f$ and $g$
$\varphi$	Phase angle
$\phi$	Polar angle
$\mathrm{\Phi }$	Velocity potential (chapter 2)
${\mathrm{\Phi }}_n$	Normalized mode shape
${\mathrm{\Psi }}_n$	Mode shape
${\mathbf{\Psi }}_{L/S}$	Amplitude of plate longitudinal and shear wave
${\mathbf{\Psi }}_{B1/2}$	Amplitude of evanescent and propagating plate bending waves
$\mathrm{\Pi }$	Power
${\mathrm{\Pi }}_{in}$	Input power
${\mathrm{\Pi }}_{i\to j}$	Transmitted power from subsystem $i$ to $j$

Table C.2 Greek Symbols II

$\sigma$	Stress
${\sigma }_{\text{rad}}$	Radiation efficiency
${\sigma }^{\prime }$	Surface porosity
$\tau$	Decay rate
${\tau }_{mn}$	Transmission coefficient
$\varphi$	Wave incident angle
$\zeta =c_v/c_{vc}$	Ratio of viscous to critical viscous damping
$\omega$	Angular frequency
${\omega }_0$	Angular resonance frequency of undamped harmonic oscillator
${\omega }_d$	Angular resonance frequency of damped harmonic oscillator
${\omega }_d$	Angular frequency of maximum amplitude of damped harmonic oscillator
${\omega }_n$	Modal angular frequency of mode $n$
${\omega }_s=2\pi /\mathrm{\Delta }t$	Angular sampling frequency

Table C.3 Capital latin Symbols ...