This software is part of the Bolt and Beautiful project funded with subsidy from the Top Sector Energy of the Dutch Ministry of Economic Affairs.

PyFlange API documentation

This package has the ambitious goal of providing all the tools engineers need for the design of large bolted flanges such as the flanges used in offshore wind for connecting the turbine tower to the foundation.

Far from achieving its goal, this package currently contains only an implementation of Marc Seidel's polynomial model for predicting bolt forces and moments due to the tower shell force.

This package has beend developed within the Bolt and Beoutiful GROW project by KCI, Siemens Gamesa and TNO.

The rest of this documentation will show how to get started and where to find extra documentation.

Installation

PyFlange can be installed via pip as follows: PyFlange can be installed via pip as follows:

pip install pyflange

Usage instructions

After installing the package, you can import it in your python code as start using it. First of all, you need to create a FlangeSegment object as shown below.

# Create the bolt object
from pyflange.bolts import StandardMetricBolt, ISOFlatWasher, ISOHexNut
M80_bolt   = StandardMetricBolt("M80", "10.9", shank_length=0.270, stud=True)
M80_washer = ISOFlatWasher("M80")
M80_nut    = ISOHexNut("M80")

# Define the gap parameters
from pyflange.gap import gap_height_distribution
D = 7.50                        # meters, flange outer diameter
gap_angle = pi/6                # 30 deg gap angle
gap_length = gap_angle * D/2    # outer length of the gap
u_tol = 0.0014                  # flatness tolerance in mm/mm
gap_dist = gap_height_distribution(D, u_tol, gap_length)    # lognormal distribution

# Create the FlangeSegment model
from pyflange.flangesegments import PolynomialLFlangeSegment
Nb = 120    # number of bolts
fseg = PolynomialLFlangeSegment(
    a = 0.2325,              # distance between inner face of the flange and center of the bolt hole
    b = 0.1665,              # distance between center of the bolt hole and center-line of the shell
    s = 0.0720,              # shell thickness
    t = 0.2000,              # flange thickness
    R = D/2,                 # shell outer curvature radius
    central_angle = 2*pi/Nb, # angle subtented by the flange segment arc

    Zg = -14795000 / Nb,     # load applied to the flange segment shell at rest
                             # (normally dead weight of tower + RNA, divided by the number of bolts)

    bolt = M80_bolt,         # bolt object created above
    Fv = 2876000,            # design bolt preload, after preload losses

    Do = 0.086,              # bolt hole diameter
    washer = M80_washer,     # washer object created above
    nut = M80_nut,           # nut object created above

    gap_height = gap_dist.ppf(0.95),    # maximum longitudinal gap height, 95% quantile
    gap_angle = gap_angle)              # longitudinal gap length

# Assert if the flange-segment fails with failure mode B.
# If not, an exception will be raised. 
fseg.validate(470e6, 450e6)

Notice that a consistent set of units of measurements has been used for inputs, namely: meter for distances, radians for angles and newton for forces. It is not required to always use these units (meter, newton), but you should choose your units and always apply them consistently.

Once you have your fseg object, you can obtain the bolt forces and moments as follows:

Fs = fseg.bolt_axial_force(3500)    # bolt force corresponding to the tower shell force Z = 3500 N
Ms = fseg.bolt_bending_moment(2000) # bolt bending moment corresponding to the tower shell force Z = 2000 N

The argumment Z, passed to bolt_axial_force and bolt_bending_moment can also be a numpy array. In that case an array of Fs and Ms value will be returned.

import numpy as np
Z = np.array([2000, 2500, 3000])
Fs = fseg.bolt_axial_force(Z)       # return the numpy array (Fs(2000), Fs(2500), Fs(3000))
Ms = fseg.bolt_bending_moment(Z)    # return the numpy array (Ms(2000), Ms(2500), Ms(3000))