Source code for compmech.stiffener.tstiff2d

from __future__ import division
import gc

import numpy as np
from numpy import deg2rad

import modelDB as stiffmDB
import compmech.panel.modelDB as panelmDB
from compmech.logger import msg, warn
from compmech.composite import laminate


[docs]class TStiff2D(object): r"""T Stiffener using 2D Formulation for the Base and Flange T-type of stiffener model using a 2D formulation for the flange and a 2D formulation for the base:: || --> flange | || |-> stiffener ====== --> base | ========================= --> panels Panel1 Panel2 The difference between this model and :class:'.BladeStiff2D' is that here the stiffener's base has independent field variables allowing the simulation of skin-stiffener debounding effects. Each stiffener has a constant `y_s` coordinate. """ def __init__(self, bay, mu, panel1, panel2, ys, bb, bf, bstack, bplyts, blaminaprops, fstack, fplyts, flaminaprops, model='tstiff2d_clt_donnell_bardell'): self.bay = bay self.panel1 = panel1 self.panel2 = panel2 self.model = model self.m1 = 15 self.n1 = 12 self.m2 = 15 self.n2 = 12 self.mu = mu self.ys = ys self.bb = bb self.bf = bf self.forces_base = [] self.forces_flange = [] self.eta_conn_base = 0. self.eta_conn_flange = -1. self.Nxxb = None self.Nxyb = None self.Nxxf = None self.Nxyf = None self.bstack = bstack self.bplyts = bplyts self.blaminaprops = blaminaprops self.fstack = fstack self.fplyts = fplyts self.flaminaprops = flaminaprops self.blam = None self.flam = None self.k0 = None self.kM = None self.kG0 = None self.u1txb = 1. self.u1rxb = 1. self.u2txb = 1. self.u2rxb = 1. self.v1txb = 1. self.v1rxb = 1. self.v2txb = 1. self.v2rxb = 1. self.w1txb = 1. self.w1rxb = 1. self.w2txb = 1. self.w2rxb = 1. self.u1tyb = 1. self.u1ryb = 1. self.u2tyb = 1. self.u2ryb = 1. self.v1tyb = 1. self.v1ryb = 1. self.v2tyb = 1. self.v2ryb = 1. self.w1tyb = 1. self.w1ryb = 1. self.w2tyb = 1. self.w2ryb = 1. self.u1txf = 0. self.u1rxf = 1. self.u2txf = 0. self.u2rxf = 1. self.v1txf = 0. self.v1rxf = 1. self.v2txf = 0. self.v2rxf = 1. self.w1txf = 0. self.w1rxf = 1. self.w2txf = 0. self.w2rxf = 1. self.u1tyf = 1. self.u1ryf = 1. self.u2tyf = 1. self.u2ryf = 1. self.v1tyf = 1. self.v1ryf = 1. self.v2tyf = 1. self.v2ryf = 1. self.w1tyf = 1. self.w1ryf = 1. self.w2tyf = 1. self.w2ryf = 1. self._rebuild() def _rebuild(self): a = None b = None if self.panel1 is not None: a = self.panel1.a b = self.panel1.b elif self.panel2 is not None: a = self.panel2.a b = self.panel2.b if a is not None and b is not None: if a / b > 10.: if self.m1 <= 15 and self.m2 <= 15: raise RuntimeError('For a/b > 10. use m1 and m2 > 15') else: warn('For a/b > 10. be sure to check convergence for m1 and m2') if self.fstack is None: raise ValueError('Flange laminate must be defined!') if self.bstack is None: raise ValueError('Base laminate must be defined!') self.flam = laminate.read_stack(self.fstack, plyts=self.fplyts, laminaprops=self.flaminaprops) self.flam.calc_equivalent_modulus() h = 0.5*sum(self.panel1.plyts) + 0.5*sum(self.panel2.plyts) hb = sum(self.bplyts) self.dpb = h/2. + hb/2. self.blam = laminate.read_stack(self.bstack, plyts=self.bplyts, laminaprops=self.blaminaprops, offset=0.) assert self.panel1.model == self.panel2.model assert self.panel1.r == self.panel2.r assert self.panel1.alphadeg == self.panel2.alphadeg
[docs] def calc_k0(self, size=None, row0=0, col0=0, silent=False, finalize=True): """Calculate the linear constitutive stiffness matrix """ self._rebuild() msg('Calculating k0... ', level=2, silent=silent) modelb = panelmDB.db[self.panel1.model]['matrices'] modelf = stiffmDB.db[self.model]['matrices_flange'] conn = stiffmDB.db[self.model]['connections'] num1 = stiffmDB.db[self.model]['num1'] bay = self.bay a = bay.a b = bay.b bb = self.bb bf = self.bf ys = self.ys r = bay.r if bay.r is not None else 0. m = bay.m n = bay.n m1 = self.m1 n1 = self.n1 m2 = self.m2 n2 = self.n2 alphadeg = bay.alphadeg alphadeg = alphadeg if alphadeg is not None else 0. alpharad = deg2rad(alphadeg) m1 = self.m1 n1 = self.n1 # NOTE # row0 and col0 define where the stiffener's base matrix starts # row1 and col1 define where the stiffener's flange matrix starts row1 = row0 + num1*self.m1*self.n1 col1 = col0 + num1*self.m1*self.n1 k0 = 0. #TODO add contribution from Nxx_cte from flange and base # stiffener base Fsb = self.blam.ABD # default is to have no unbouded region #TODO remove from Cython the capability to run with debonding defect x1 = a/2. x2 = a/2. y1 = ys - self.bb/2. y2 = ys + self.bb/2. k0 += modelb.fk0y1y2(y1, y2, a, b, r, alpharad, Fsb, m1, n1, self.u1txb, self.u1rxb, self.u2txb, self.u2rxb, self.v1txb, self.v1rxb, self.v2txb, self.v2rxb, self.w1txb, self.w1rxb, self.w2txb, self.w2rxb, self.u1tyb, self.u1ryb, self.u2tyb, self.u2ryb, self.v1tyb, self.v1ryb, self.v2tyb, self.v2ryb, self.w1tyb, self.w1ryb, self.w2tyb, self.w2ryb, size, row0, col0) # stiffener flange Fsf = self.flam.ABD k0 += modelf.fk0(a, b, r, alpharad, Fsf, m2, n2, self.u1txf, self.u1rxf, self.u2txf, self.u2rxf, self.v1txf, self.v1rxf, self.v2txf, self.v2rxf, self.w1txf, self.w1rxf, self.w2txf, self.w2rxf, self.u1tyf, self.u1ryf, self.u2tyf, self.u2ryf, self.v1tyf, self.v1ryf, self.v2tyf, self.v2ryf, self.w1tyf, self.w1ryf, self.w2tyf, self.w2ryf, size, row1, col1) # connectivity panel-base dpb = self.dpb den = min(self.panel1.lam.t, self.panel2.lam.t, self.bplyts[0]) * min(a, b) ktpb = max(self.panel1.lam.ABD[0, 0], self.blam.ABD[0, 0])/den k0 += conn.fkCppx1x2y1y2(0, x1, y1, y2, ktpb, a, b, dpb, m, n, bay.u1tx, bay.u1rx, bay.u2tx, bay.u2rx, bay.v1tx, bay.v1rx, bay.v2tx, bay.v2rx, bay.w1tx, bay.w1rx, bay.w2tx, bay.w2rx, bay.u1ty, bay.u1ry, bay.u2ty, bay.u2ry, bay.v1ty, bay.v1ry, bay.v2ty, bay.v2ry, bay.w1ty, bay.w1ry, bay.w2ty, bay.w2ry, size, 0, 0) k0 += conn.fkCppx1x2y1y2(x2, a, y1, y2, ktpb, a, b, dpb, m, n, bay.u1tx, bay.u1rx, bay.u2tx, bay.u2rx, bay.v1tx, bay.v1rx, bay.v2tx, bay.v2rx, bay.w1tx, bay.w1rx, bay.w2tx, bay.w2rx, bay.u1ty, bay.u1ry, bay.u2ty, bay.u2ry, bay.v1ty, bay.v1ry, bay.v2ty, bay.v2ry, bay.w1ty, bay.w1ry, bay.w2ty, bay.w2ry, size, 0, 0) k0 += conn.fkCpbx1x2y1y2(0, x1, y1, y2, ktpb, a, b, dpb, m, n, m1, n1, bay.u1tx, bay.u1rx, bay.u2tx, bay.u2rx, bay.v1tx, bay.v1rx, bay.v2tx, bay.v2rx, bay.w1tx, bay.w1rx, bay.w2tx, bay.w2rx, bay.u1ty, bay.u1ry, bay.u2ty, bay.u2ry, bay.v1ty, bay.v1ry, bay.v2ty, bay.v2ry, bay.w1ty, bay.w1ry, bay.w2ty, bay.w2ry, self.u1txb, self.u1rxb, self.u2txb, self.u2rxb, self.v1txb, self.v1rxb, self.v2txb, self.v2rxb, self.w1txb, self.w1rxb, self.w2txb, self.w2rxb, self.u1tyb, self.u1ryb, self.u2tyb, self.u2ryb, self.v1tyb, self.v1ryb, self.v2tyb, self.v2ryb, self.w1tyb, self.w1ryb, self.w2tyb, self.w2ryb, size, 0, col0) k0 += conn.fkCpbx1x2y1y2(x2, a, y1, y2, ktpb, a, b, dpb, m, n, m1, n1, bay.u1tx, bay.u1rx, bay.u2tx, bay.u2rx, bay.v1tx, bay.v1rx, bay.v2tx, bay.v2rx, bay.w1tx, bay.w1rx, bay.w2tx, bay.w2rx, bay.u1ty, bay.u1ry, bay.u2ty, bay.u2ry, bay.v1ty, bay.v1ry, bay.v2ty, bay.v2ry, bay.w1ty, bay.w1ry, bay.w2ty, bay.w2ry, self.u1txb, self.u1rxb, self.u2txb, self.u2rxb, self.v1txb, self.v1rxb, self.v2txb, self.v2rxb, self.w1txb, self.w1rxb, self.w2txb, self.w2rxb, self.u1tyb, self.u1ryb, self.u2tyb, self.u2ryb, self.v1tyb, self.v1ryb, self.v2tyb, self.v2ryb, self.w1tyb, self.w1ryb, self.w2tyb, self.w2ryb, size, 0, col0) k0 += conn.fkCbbpbx1x2(0, x1, y1, y2, ktpb, a, b, m1, n1, self.u1txb, self.u1rxb, self.u2txb, self.u2rxb, self.v1txb, self.v1rxb, self.v2txb, self.v2rxb, self.w1txb, self.w1rxb, self.w2txb, self.w2rxb, self.u1tyb, self.u1ryb, self.u2tyb, self.u2ryb, self.v1tyb, self.v1ryb, self.v2tyb, self.v2ryb, self.w1tyb, self.w1ryb, self.w2tyb, self.w2ryb, size, row0, col0) k0 += conn.fkCbbpbx1x2(x2, a, y1, y2, ktpb, a, b, m1, n1, self.u1txb, self.u1rxb, self.u2txb, self.u2rxb, self.v1txb, self.v1rxb, self.v2txb, self.v2rxb, self.w1txb, self.w1rxb, self.w2txb, self.w2rxb, self.u1tyb, self.u1ryb, self.u2tyb, self.u2ryb, self.v1tyb, self.v1ryb, self.v2tyb, self.v2ryb, self.w1tyb, self.w1ryb, self.w2tyb, self.w2ryb, size, row0, col0) # connectivity base-flange ktbf = (self.blam.ABD[1, 1] + self.flam.ABD[1, 1])/(self.blam.t + self.flam.t) krbf = (self.blam.ABD[4, 4] + self.flam.ABD[4, 4])/(self.blam.t + self.flam.t) k0 += conn.fkCbbbf(ktbf, krbf, a, bb, m1, n1, self.eta_conn_base, self.u1txb, self.u1rxb, self.u2txb, self.u2rxb, self.v1txb, self.v1rxb, self.v2txb, self.v2rxb, self.w1txb, self.w1rxb, self.w2txb, self.w2rxb, self.u1tyb, self.u1ryb, self.u2tyb, self.u2ryb, self.v1tyb, self.v1ryb, self.v2tyb, self.v2ryb, self.w1tyb, self.w1ryb, self.w2tyb, self.w2ryb, size, row0, col0) k0 += conn.fkCbf(ktbf, krbf, a, bb, bf, m1, n1, m2, n2, self.eta_conn_base, self.eta_conn_flange, self.u1txb, self.u1rxb, self.u2txb, self.u2rxb, self.v1txb, self.v1rxb, self.v2txb, self.v2rxb, self.w1txb, self.w1rxb, self.w2txb, self.w2rxb, self.u1tyb, self.u1ryb, self.u2tyb, self.u2ryb, self.v1tyb, self.v1ryb, self.v2tyb, self.v2ryb, self.w1tyb, self.w1ryb, self.w2tyb, self.w2ryb, self.u1txf, self.u1rxf, self.u2txf, self.u2rxf, self.v1txf, self.v1rxf, self.v2txf, self.v2rxf, self.w1txf, self.w1rxf, self.w2txf, self.w2rxf, self.u1tyf, self.u1ryf, self.u2tyf, self.u2ryf, self.v1tyf, self.v1ryf, self.v2tyf, self.v2ryf, self.w1tyf, self.w1ryf, self.w2tyf, self.w2ryf, size, row0, col1) k0 += conn.fkCff(ktbf, krbf, a, bf, m2, n2, self.eta_conn_flange, self.u1txf, self.u1rxf, self.u2txf, self.u2rxf, self.v1txf, self.v1rxf, self.v2txf, self.v2rxf, self.w1txf, self.w1rxf, self.w2txf, self.w2rxf, self.u1tyf, self.u1ryf, self.u2tyf, self.u2ryf, self.v1tyf, self.v1ryf, self.v2tyf, self.v2ryf, self.w1tyf, self.w1ryf, self.w2tyf, self.w2ryf, size, row1, col1) if finalize: assert np.any(np.isnan(k0.data)) == False assert np.any(np.isinf(k0.data)) == False k0 = csr_matrix(make_symmetric(k0)) self.k0 = k0 #NOTE forcing Python garbage collector to clean the memory # it DOES make a difference! There is a memory leak not # identified, probably in the csr_matrix process gc.collect() msg('finished!', level=2, silent=silent)
[docs] def calc_kG0(self, size=None, row0=0, col0=0, silent=False, finalize=True, c=None): """Calculate the linear geometric stiffness matrix """ #TODO if c is not None: raise NotImplementedError('numerical kG0 not implemented') self._rebuild() msg('Calculating kG0... ', level=2, silent=silent) modelb = panelmDB.db[self.panel1.model]['matrices'] modelf = stiffmDB.db[self.model]['matrices_flange'] num1 = stiffmDB.db[self.model]['num1'] bay = self.bay a = bay.a r = bay.r if bay.r is not None else 0. alphadeg = bay.alphadeg if bay.alphadeg is not None else 0. alpharad = deg2rad(alphadeg) # NOTE # row0 and col0 define where the stiffener's base matrix starts # row1 and col1 define where the stiffener's flange matrix starts row1 = row0 + num1*self.m1*self.n1 col1 = col0 + num1*self.m1*self.n1 kG0 = 0. # stiffener base Nxxb = self.Nxxb if self.Nxxb is not None else 0. Nxyb = self.Nxyb if self.Nxyb is not None else 0. kG0 += modelb.fkG0(Nxxb, 0., Nxyb, a, self.bb, r, alpharad, self.m1, self.n1, self.w1txb, self.w1rxb, self.w2txb, self.w2rxb, self.w1tyb, self.w1ryb, self.w2tyb, self.w2ryb, size, row0, col0) # stiffener flange Nxxf = self.Nxxf if self.Nxxf is not None else 0. Nxyf = self.Nxyf if self.Nxyf is not None else 0. kG0 += modelf.fkG0(Nxxf, 0., Nxyf, a, self.bf, r, alpharad, self.m2, self.n2, self.w1txf, self.w1rxf, self.w2txf, self.w2rxf, self.w1tyf, self.w1ryf, self.w2tyf, self.w2ryf, size, row1, col1) if finalize: assert np.any((np.isnan(kG0.data) | np.isinf(kG0.data))) == False kG0 = csr_matrix(make_symmetric(kG0)) self.kG0 = kG0 #NOTE forcing Python garbage collector to clean the memory # it DOES make a difference! There is a memory leak not # identified, probably in the csr_matrix process gc.collect() msg('finished!', level=2, silent=silent)
[docs] def calc_kM(self, size=None, row0=0, col0=0, silent=False, finalize=True): """Calculate the mass matrix """ self._rebuild() msg('Calculating kM... ', level=2, silent=silent) modelb = panelmDB.db[self.panel1.model]['matrices'] modelf = stiffmDB.db[self.model]['matrices_flange'] num1 = stiffmDB.db[self.model]['num1'] bay = self.bay m1 = self.m1 n1 = self.n1 m2 = self.m2 n2 = self.n2 a = bay.a bb = self.bb bf = self.bf r = bay.r if bay.r is not None else 0. alphadeg = bay.alphadeg alphadeg = alphadeg if alphadeg is not None else 0. alpharad = deg2rad(alphadeg) row1 = row0 + num1*self.m1*self.n1 col1 = col0 + num1*self.m1*self.n1 kM = 0. hb = sum(self.bplyts) hf = sum(self.fplyts) # stiffener base kM += modelb.fkM(self.mu, 0., hb, a, bb, r, alpharad, m1, n1, self.u1txb, self.u1rxb, self.u2txb, self.u2rxb, self.v1txb, self.v1rxb, self.v2txb, self.v2rxb, self.w1txb, self.w1rxb, self.w2txb, self.w2rxb, self.u1tyb, self.u1ryb, self.u2tyb, self.u2ryb, self.v1tyb, self.v1ryb, self.v2tyb, self.v2ryb, self.w1tyb, self.w1ryb, self.w2tyb, self.w2ryb, size, row0, col0) # stiffener flange kM += modelf.fkM(self.mu, 0., hf, a, bf, r, alpharad, m2, n2, self.u1txf, self.u1rxf, self.u2txf, self.u2rxf, self.v1txf, self.v1rxf, self.v2txf, self.v2rxf, self.w1txf, self.w1rxf, self.w2txf, self.w2rxf, self.u1tyf, self.u1ryf, self.u2tyf, self.u2ryf, self.v1tyf, self.v1ryf, self.v2tyf, self.v2ryf, self.w1tyf, self.w1ryf, self.w2tyf, self.w2ryf, size, row1, col1) if finalize: assert np.any(np.isnan(kM.data)) == False assert np.any(np.isinf(kM.data)) == False kM = csr_matrix(make_symmetric(kM)) self.kM = kM #NOTE forcing Python garbage collector to clean the memory # it DOES make a difference! There is a memory leak not # identified, probably in the csr_matrix process gc.collect() msg('finished!', level=2, silent=silent)