Assembly of Plate and Panel Models (`compmech.panel.assembly`)¶

class compmech.panel.assembly.PanelAssembly(panels)[source]¶

Class for Panel Assemblies

This class has some useful methods that will help plotting output for different panel groups within the assembly and so forth.

For more details about the theory involved, see [castro2017AssemblyModels].

Parameters

panelsiterable: A list, tuple etc of Panel objects.
conndict: A connectivity dictionary.

Methods

`calc_k0`(self[, conn, c, silent, finalize, inc])	Calculate the constitutive stiffness matrix of the assembly
`calc_kG0`(self[, c, silent, finalize])	Calculate the geometric stiffness matrix of the assembly
`plot`(self, c, group[, invert_y, vec, …])	Contour plot for a Ritz constants vector.
`strain`(self, c, group[, gridx, gridy, NLterms])	Calculate the strain field
`stress`(self, c, group[, gridx, gridy, NLterms])	Calculate the stress field
`uvw`(self, c, group[, gridx, gridy])	Calculate the displacement field

calc_fext
calc_fint
calc_kM
calc_kT
get_k0_conn
get_size

calc_k0(self, conn=None, c=None, silent=False, finalize=True, inc=1.0)[source]¶

Calculate the constitutive stiffness matrix of the assembly

Parameters

conndict, optional: A connectivity dictionary. Optional if already defined for the assembly.
carray-like or None, optional: This must be the result of a static analysis, used to compute non-linear terms based on the actual displacement field.
silentbool, optional: A boolean to tell whether the log messages should be printed.
finalizebool, optional: Asserts validity of output data and makes the output matrix symmetric, should be False when assemblying.
incfloat, optional: Dummy argument needed for non-linear analyses.

calc_kG0(self, c=None, silent=False, finalize=True)[source]¶

Calculate the geometric stiffness matrix of the assembly

Parameters

carray-like or None, optional: This must be the result of a static analysis, used to compute non-linear terms based on the actual displacement field.
silentbool, optional: A boolean to tell whether the log messages should be printed.
finalizebool, optional: Asserts validity of output data and makes the output matrix symmetric, should be False when assemblying.

plot(self, c, group, invert_y=False, vec='w', filename='', ax=None, figsize=(3.5, 2.0), save=True, title='', identify=False, show_boundaries=False, boundary_line='--k', boundary_linewidth=1.0, colorbar=False, cbar_nticks=2, cbar_format=None, cbar_title='', cbar_fontsize=10, colormap='jet', aspect='equal', clean=True, dpi=400, texts=[], xs=None, ys=None, gridx=50, gridy=50, num_levels=400, vecmin=None, vecmax=None, calc_data_only=False)[source]¶

Contour plot for a Ritz constants vector.

Parameters

cnp.ndarray

The Ritz constants that will be used to compute the field contour.

groupstr

A group to plot. Each panel in panels should contain an attribute group, which is used to identify which entities should be plotted together.

vecstr, optional

Can be one of the components:

Displacement: 'u', 'v', 'w', 'phix', 'phiy'
Strain: 'exx', 'eyy', 'gxy', 'kxx', 'kyy', 'kxy', 'gyz', 'gxz'
Stress: 'Nxx', 'Nyy', 'Nxy', 'Mxx', 'Myy', 'Mxy', 'Qy', 'Qx'

invert_ybool, optional

Inverts the $y$ axis of the plot.

savebool, optional

Flag telling whether the contour should be saved to an image file.

dpiint, optional

Resolution of the saved file in dots per inch.

filenamestr, optional

The file name for the generated image file. If no value is given, the $name$ parameter of the Panel object will be used.

axAxesSubplot, optional

When ax is given, the contour plot will be created inside it.

figsizetuple, optional

The figure size given by (width, height).

titlestr, optional

If any string is given a title is added to the contour plot.

indentifybool, optional

If domains should be identified. If yes, the name of each panel is used.

show_boundariesbool, optional

If boundaries between domains should be drawn.

boundary_linestr, optional

Matplotlib string to define line type and color.

boundary_linewidthfloat, optional

Matplotlib float to define line width.

colorbarbool, optional

If a colorbar should be added to the contour plot.

cbar_nticksint, optional

Number of ticks added to the colorbar.

cbar_format[ None | format string | Formatter object ], optional

See the matplotlib.pyplot.colorbar documentation.

cbar_titlestr, optional

Colorbar title. If cbar_title == '' no title is added.

cbar_fontsizeint, optional

Fontsize of the colorbar labels.

colormapstring, optional

Name of a matplotlib available colormap.

aspectstr, optional

String that will be passed to the AxesSubplot.set_aspect() method.

cleanbool, optional

Clean axes ticks, grids, spines etc.

xsnp.ndarray, optional

The $x$ positions where to calculate the displacement field. Default is None and the method _default_field is used.

ysnp.ndarray, optional

The y positions where to calculate the displacement field. Default is None and the method _default_field is used.

gridxint, optional

Number of points along the $x$ axis where to calculate the displacement field.

gridyint, optional

Number of points along the $y$ where to calculate the displacement field.

num_levelsint, optional

Number of contour levels (higher values make the contour smoother).

vecminfloat, optional

Minimum value for the contour scale (useful to compare with other results). If not specified it will be taken from the calculated field.

vecmaxfloat, optional

Maximum value for the contour scale.

calc_data_onlybool, optional

If only calculated data should be returned.

Returns

axmatplotlib.axes.Axes: The Matplotlib object that can be used to modify the current plot if needed.
datadict: Data calculated during the plotting procedure.

strain(self, c, group, gridx=50, gridy=50, NLterms=True)[source]¶

Calculate the strain field

Parameters

cfloat: The full set of Ritz constants
groupstr: A group to plot. Each panel in panels should contain an attribute group, which is used to identify which entities should be plotted together.
gridxint, optional: Number of points along the $x$ axis where to calculate the displacement field.
gridyint, optional: Number of points along the $y$ where to calculate the displacement field.
NLtermsbool: Flag to indicate whether non-linear strain components should be considered.

Returns

outdict: A dictionary of np.ndarrays with the keys: (x, y, exx, eyy, gxy, kxx, kyy, kxy).

stress(self, c, group, gridx=50, gridy=50, NLterms=True)[source]¶

Calculate the stress field

Parameters

cfloat: The full set of Ritz constants
groupstr: A group to plot. Each panel in panels should contain an attribute group, which is used to identify which entities should be plotted together.
gridxint, optional: Number of points along the $x$ axis where to calculate the displacement field.
gridyint, optional: Number of points along the $y$ where to calculate the displacement field.
NLtermsbool: Flag to indicate whether non-linear strain components should be considered.

Returns

outdict: A dict containing many np.ndarrays, with the keys: (x, y, Nxx, Nyy, Nxy, Mxx, Myy, Mxy).

uvw(self, c, group, gridx=50, gridy=50)[source]¶

Calculate the displacement field

For a given full set of Ritz constants c, the displacement field is calculated and stored in the parameters u, v, w, phix, phiy of the Panel object.

Parameters

cfloat: The full set of Ritz constants
groupstr: A group to plot. Each panel in panels should contain an attribute group, which is used to identify which entities should be plotted together.
gridxint, optional: Number of points along the $x$ axis where to calculate the displacement field.
gridyint, optional: Number of points along the $y$ where to calculate the displacement field.

Returns

outtuple: A tuple of np.ndarrays containing (xs, ys, u, v, w, phix, phiy).

Notes

The returned values u`, v, w, phix, phiy are stored as parameters with the same name in the Panel object.

Assembly of Plate and Panel Models (`compmech.panel.assembly`)¶

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Assembly of Plate and Panel Models (compmech.panel.assembly)¶

Assembly of Plate and Panel Models (`compmech.panel.assembly`)¶