seapy.components.plate.SubsystemBend¶

class seapy.components.plate.SubsystemBend(name, system, **properties)[source]¶

Bases: seapy.subsystems.subsystemstructural.SubsystemStructural

Subsystem for bending waves in a 2D isotropic component.

__init__(name, system, **properties)¶

Constructor.

Parameters:	name (string) – Identifier component (`SeaPy.components.Component`) – Component

Methods

`__init__`(name, system, **properties)	Constructor.
`addExcitation`(name, model, **properties)	Add excitation to subsystem.
`disable`([couplings])	Disable this subsystem.
`enable`([couplings])	Enable this subsystem.
`info`([attributes])	Return dataframe.
`plot`(quantity[, yscale])	Plot quantity.

Attributes

`SORT`	str(object=’‘) -> str
`average_frequency_spacing`	Average frequency spacing for bending waves in a 2D isotropic plate.
`classname`	Name of class of the object.
`component`
`conductance`	Conductance $G$ .
`conductance_point_average`	Average point conductance of a structural component.
`damping_term`	The damping term is the ratio of the modal half-power bandwidth to the average modal frequency spacing.
`dlf`	Damping loss factor of subsystem.
`enabled`	Switch indicating whether the object is enabled.
`energy`	Total energy $E$ in subsystem.
`flexural_rigidity`	Flexural rigidity of a plate.
`frequency`	Frequency.
`impedance`	Impedance $Z$
`impedance_point_force`	Point impedance.
`included`	Indicates whether the object is included in the analysis.
`linked_couplings_from`
`linked_couplings_to`
`linked_excitations`
`mobility`	Mobility Y
`modal_density`	Modal density.
`modal_energy`	Class capable of containing spectral values.
`modal_overlap_factor`	Modal overlap factor.
`name`
`power_input`	Total input power due to excitations.
`resistance`	Resistance $R$ , the real part of the impedance $Z$ .
`resistance_point_average`	Average point resistance.
`soundspeed_group`	Group velocity for bending wave.
`soundspeed_phase`	Phase velocity for bending wave.
`tlf`	Total loss factor.
`velocity`	Vibrational velocity $v$ .
`velocity_level`	Velocity level $L_v$ .
`wavenumber`	Wavenumber of flexural waves in a plate.

average_frequency_spacing[source]¶

Average frequency spacing for bending waves in a 2D isotropic plate.

Return type:	`numpy.ndarray`

$\overline{\delta f}_B^{2D} = \frac{2 \kappa c_L^{', 2D}}{A}$

with:

radius of gyration $\kappa$
soundspeed of longitudinal waves $c_L$
plate area $A$

See Lyon, eq 8.2.5

flexural_rigidity[source]¶

Flexural rigidity of a plate.

Return type:	`numpy.ndarray`

$B = \frac{E h^3}{12 \left( 1 - \nu^2 \right)}$

with:

Young’s modulus $E$
plate thickness/height $h$
Poisson’s ratio $\nu$

See Craik, equation 3.2, page 48.

impedance_point_force[source]¶

Point impedance.

$Z_{B}^{F, 2D} = 8 \rho h \kappa_B c_L$

with:

density of the plate $\rho$
radius of gyration $kappa_B$
soundspeed of longitudinal waves $c_L$

See Lyon, page 201, table 10.1

soundspeed_group[source]¶

Group velocity for bending wave.

Return type:	`numpy.ndarray`

$c_{B, g}^{2D} = 2 c_{B,\phi}^{2D}$

See Lyon, above eq. 8.2.5

soundspeed_phase[source]¶

Phase velocity for bending wave.

Return type:	`numpy.ndarray`

$\sqrt{\omega} \left( \frac{B}{\rho_s} \right)^(1/4)$

with:

Angular frequency $\omega$
Bending stiffness $B$
surface density $\rho_s$

See Craik, equation 5.19, page 128.

Note that this is the same as

$c_{B,\phi}^{2D} = \sqrt{\omega \kappa c_L^{'}}$

See Lyon, above eq. 8.2.5

wavenumber[source]¶

Wavenumber of flexural waves in a plate.

Return type:	`numpy.ndarray`

$k_B = \sqrt[4]{ \frac{ \rho \omega }{B}}$

with:

density of the plate $\rho$
angular frequency $\omega$
flexural rigidity

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See Langley and Heron, 1990, eq 18.

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