Timoshenko Beam Model¶

class sgio.model.TimoshenkoBeamModel¶

Bases: object

Timoshenko Beam Model

get(name)¶

Get beam properties using specific names.

Parameters:¶

name : str¶: Name of the property that will be returned.

Returns:¶

Value of the specified beam property.

Return type:¶

float

Notes

Table 5 Inertial properties¶
Name	Description
`msijo` (`i`, `j` are numbers 1 to 6)	Entry (i, j) of the 6x6 mass matrix at the origin
`msijc` (`i`, `j` are numbers 1 to 6)	Entry (i, j) of the 6x6 mass matrix at the mass center
`mu`	Mass per unit length
`mmoi1` \| `mmoi2` \| `mmoi3`	Mass moment of inertia about x1/x2/x3 axis

Table 6 Stiffness properties¶
Name	Description
`stfijc` (`i`, `j` are numbers 1 to 6)	Entry (i, j) of the 4x4 classical stiffness matrix
`stfijr` (`i`, `j` are numbers 1 to 6)	Entry (i, j) of the 6x6 refined stiffness matrix
`eac` \| `ear`	Axial stiffness of the classical/refined model
`gjc` \| `gjr`	Torsional stiffness of the classical/refined model
`ei2c` \| `eifc` \| `ei2r` \| `eifr`	Bending stiffness around x2 (flapwise) of the classical/refined model
`ei3c` \| `eicc` \| `ei3r` \| `eicr`	Bending stiffness around x3 (chordwise or lead-lag) of the classical/refined model
`cmpijc` (`i`, `j` are numbers 1 to 6)	Entry (i, j) of the 4x4 classical compliance matrix
`cmpijr` (`i`, `j` are numbers 1 to 6)	Entry (i, j) of the 6x6 refined compliance matrix

Table 7 Center offsets¶
Name	Description
`mcy` \| `mc2`	y (or x2) component of the mass center
`mcz` \| `mc3`	z (or x3) component of the mass center
`tcy` \| `tc2`	y (or x2) component of the tension center
`tcz` \| `tc3`	z (or x3) component of the tension center
`scy` \| `sc2`	y (or x2) component of the shear center
`scz` \| `sc3`	z (or x3) component of the shear center

getAll()¶

Get all beam properties.

Returns:¶: A Dictionary of all beam properties.
Return type:¶: dict

Notes

Names are

mu, mmoi1, mmoi2, mmoi3
ea, ga22, ga33, gj, ei22, ei33
mc2, mc3, tc2, tc3, sc2, sc3
msij, stfijc, cmpijc, stfijr, cmpijr

area¶

Area of the cross-section

Type:¶: float

cmpl¶: list of lists of floats: Timoshenko compliance matrix (1-extension; 2,3-shear, 4-twist; 5,6-bending)

cmpl_c¶: list of lists of floats: Classical compliance matrix (1-extension; 2-twist; 3,4-bending)

ea¶

Extension stiffness EA

Type:¶: float

ei22¶

Principal bending stiffness EI22

Type:¶: float

ei33¶

Principal bending stiffness EI33

Type:¶: float

ga22¶

Principal shear stiffness GA22

Type:¶: float

ga33¶

Principal shear stiffness GA33

Type:¶: float

gj¶

Torsional stiffness GJ

Type:¶: float

i11¶

Mass moments of inertia i11

Type:¶: float

i22¶

Principal mass moments of inertia i22

Type:¶: float

i33¶

Principle mass moments of inertia i33

Type:¶: float

mass¶: list of list of floats: The 6x6 mass matrix

mass_mc¶: list of lists of floats: The 6x6 mass matrix at the mass center

mu¶

Mass per unit span

Type:¶: float

phi_pba¶

Principle bending axes rotation angle in degree

Type:¶: float

phi_pia¶

Principal inertial axes rotation angle in degree

Type:¶: float

phi_psa¶

Principal shear axes rotation angle in degree

Type:¶: float

rg¶

mass-weighted radius of gyration

Type:¶: float

stff¶: list of lists of floats: Timoshenko stiffness matrix (1-extension; 2,3-shear, 4-twist; 5,6-bending)

stff_c¶: list of lists of floats: Classical stiffness matrix (1-extension; 2-twist; 3,4-bending)

xg2¶

Geometric center location in x2 direction

Type:¶: float

xg3¶

Geometric center location in x3 direction

Type:¶: float

xm2¶

Mass center location in x2 direction

Type:¶: float

xm3¶

Mass center location in x3 direction

Type:¶: float

xs2¶

Generalized shear center location in x2 direction

Type:¶: float

xs3¶

Generalized shear center location in x3 direction

Type:¶: float

xt2¶

Tension center location in x2 direction

Type:¶: float

xt3¶

Tension center location in x3 direction

Type:¶: float