Analytical Solution for the Sound Radiation Field of a Viscoelastically Supported Beam Traversed by a Moving Load

Table 1

Properties of the UIC60 rail, foundation, load, and acoustic medium [8].

Item	Notation	Value
Young’s modulus (steel)	E	210 GPa
Mass density of beam	ρ	7850 kg/m^3
Cross-sectional area	A	7.69 × 10^−3 m^2
Second moment of area	I	30.55 × 10^−6 m^4
Bending stiffness	𝑘𝑏	202 MN/m^2
Viscous damping	c	141 kN s/m^2
Load	𝐹0	65 kN
Mass density of acoustic medium (air)	𝜌0	1.2 kg/m^3
Wave velocity	𝑐0	343 m/s