rolland.methods.analytical.EBBCont1LSupp¶

class rolland.methods.analytical.EBBCont1LSupp(*args, **kwargs)[source]¶

Bases: AnalyticalMethods

Method for continuous slab single rail track according to Thompson [1].

Utilizes a single-layer support with continuous track properties, applying Euler-Bernoulli beam theory. The excitation is stationary, and the corresponding method calculates the track’s mobility for the postions specified.

f¶

Excitation frequencies \([Hz]\).

Type:: numpy.ndarray

force¶

Force amplitude corresponding to the excitation frequencies \([N]\).

Type:: numpy.ndarray

x¶

Distances to the excitation point \([m]\).

Type:: float or list

x_excit¶

Excitation point \([m]\).

Type:: numpy.ndarray

track¶

Track instance.

Type:: ContSlabSingleRailTrack

compute_mobility()[source]¶

Compute the mobility of the track.

This method calculates the mobility of the track using the given parameters and the analytical solution for a continuous slab single rail track.

mr¶

Mass per unit length of the rail \([kg/m]\).

Type:: float

sp¶

Stiffness of continuous pad \([N/m^2]\).

Type:: float

dp¶

Viscous damping coefficient of continuous pad \([Ns/m^2]\).

Type:: float

omega_0¶

Resonance frequency rail <–> foundation \([Hz]\).

Type:: float

k_p¶

Wave number of propagating wave \([1/m]\).

Type:: numpy.ndarray

abs_x¶

Absolute distance between given positions and the excitation point \([m]\).

Type:: numpy.ndarray

mobility¶

Calculated mobility of the track \([m/N]\).

Type:: numpy.ndarray

Returns:

mobility (numpy.ndarray) – The mobility of the track \([m/N]\).
omega_0 (float) – The resonance frequency rail <–> foundation \([Hz]\).