Module `platepy.solveModel`

Computes the equilibrium solution of a plate model using finite elements and stores the results.

Functions

def computeBeamComponents(self, startCoord, endCoord, nEvaluationPoints, resultsScales=(1, 1, 1), integrationWidth=0, nIntegrationPoints=0)

Computes the results over a custom-defined line.

INPUT

self: PlateModel object.
startCoord: tuple with (x,y) coordinates defining the starting point of the line.
endCoord: tuple with (x,y) coordinates defining the ending point of the line.
resultsScales = (1e-3, 1, 1): Before being displayed the computed displacements are multiplied by resultsScales[0], the computed bending moments are multiplied by resultsScales[1] and the shear forces by resultsScales[2].
integrationWidth = 0: if > 0, the values on a line normal to the main cut of length +-integrationWidth/2 are evaluated and integrated to a single value, which will then be displayed.
nIntegrationPoint=0: number of point for the integration normal to the direction of the main cut.

RETURN

bendingMoments: (nPoints, 3) Numpy array containing Mx, My and Mxy for each evaluation point.
shearForces: (nPoints, 2) Numpy array containing Vx and Vy for each evaluation point.
arrayEvaluationPoints: (nPoints, 2) Numpy array containing x and y coordinates of each evaluation point.

def evaluateAtPoints(self, coords, displayPoints=False)

Computes the displacement, rotation and internal forces at the location contained in coords.

INPUT

coords: Numpy array of shape (nPoints, 2) with the x,y coordinates of the points to be evaluated.
displayPoints = False: If True, plots the requested evaluation points on the inputGeometry.

RETURN

vericalDisplacements: (nPoints, 1) Numpy array containing vertical displacements of each evaluation point.
bendingMoments: (nPoints, 3) Numpy array containing Mx, My and Mxy for each evaluation point.
shearForces: (nPoints, 2) Numpy array containing Vx and Vy for each evaluation point.

def solveModel(self, resultsScales=(1, 1, 1), internalForcePosition='center', smoothedValues=False, computeMoments=True, kBendingResistance=1)

Given a PlateModel object with an initialized mesh, this function computes displacements, rotations and internal forces at each node.

INPUT

self: PlateModel object.
resultsScales = (1e-3, 1, 1): Before being displayed the computed displacements are multiplied by resultsScales[0], the computed beding moments are multiplied by resultsScales[1] and the shear forces by resultsScales[2].
internalForcePosition = 'center': String defining the desired position where the internal forces should be computed. Possible values are "center" (default), "nodes" and "intPoints" for the positions used in the Gauss quadrature.
smoothedValues = False: Experimental. If True, the values of the shear forces by displacement based elements are smoothed according to the values at the Gauss points.
computeMoments = True: Deactivates the computation of internal forces. For debug purposes.
kBendingResistance = 1: 1/tan(alpha), to compute the plate bending resistance according to the SIA 262 swiss norm.

RETURN