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systemfragility.py
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systemfragility.py
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#!/usr/bin/env python
# -*- coding:utf-8 -*-
# @Author : Penghui Zhang
# @Email : [email protected]
import numpy as np
import math
import os
import matplotlib.pyplot as plt
class SystemFragilityCurve:
def __init__ (self, im, edps):
self.im = im
self.edps = edps
self.n = 100000 #蒙特卡洛抽样次数
self.dot = 30 #易损性曲线点数
def lmDemandModel (self, originalLnEDP, lnIM, lmCoeffictionList, lmInterceptList):
covMtrix = np.cov(originalLnEDP.T)
lnSdmean = np.array(lmCoeffictionList) * lnIM + np.array(lmInterceptList)
lnDemand = np.random.multivariate_normal(mean=lnSdmean, cov=covMtrix, size=self.n)
lmDemand = pow(math.e, lnDemand)
return lmDemand
def componentCapcityModel (self, edp):
#对单个构件的能力抽样
capacity = np.ones((self.n, 4))*(10**8)
if edp.split('_')[1]=='cdrift':
sc = np.array([0.005, 0.01, 0.02, 0.025])
beltac = np.array([0.0025, 0.0025, 0.0046, 0.0046])
for i in range(self.n):
flag = 1
while flag:
randomArray = np.array([np.random.lognormal(mean=math.log(sc[0]), sigma=beltac[0], size=None),\
np.random.lognormal(mean=math.log(sc[1]), sigma=beltac[1], size=None),\
np.random.lognormal(mean=math.log(sc[2]), sigma=beltac[2], size=None),\
np.random.lognormal(mean=math.log(sc[3]), sigma=beltac[3], size=None)])
if randomArray[0]<randomArray[1]<randomArray[2]<randomArray[3]:
capacity[i,:] = randomArray.copy()
flag = 0
elif edp.split('_')[1]=='bdisp':
sc = np.array([0.15, 0.35])
beltac = np.array([0.35, 0.35])
for i in range(self.n):
flag = 1
while flag:
randomArray = np.array([np.random.lognormal(mean=math.log(sc[0]), sigma=beltac[0], size=None),\
np.random.lognormal(mean=math.log(sc[1]), sigma=beltac[1], size=None)])
if randomArray[0]<randomArray[1]:
capacity[i,[0,1]] = randomArray.copy()
flag = 0
elif edp.split('_')[1]=='adispa':
sc = np.array([0.01, 0.038, 0.077])
beltac = np.array([0.0007, 0.0009, 0.00085])
for i in range(self.n):
flag = 1
while flag:
randomArray = np.array([np.random.lognormal(mean=math.log(sc[0]), sigma=beltac[0], size=None),\
np.random.lognormal(mean=math.log(sc[1]), sigma=beltac[1], size=None),\
np.random.lognormal(mean=math.log(sc[2]), sigma=beltac[2], size=None)])
if randomArray[0]<randomArray[1]<randomArray[2]:
capacity[i,[0,1,2]] = randomArray.copy()
flag = 0
elif edp.split('_')[1]=='adispp':
sc = np.array([0.037, 0.147])
beltac = np.array([0.00046, 0.00046])
for i in range(self.n):
flag = 1
while flag:
randomArray = np.array([np.random.lognormal(mean=math.log(sc[0]), sigma=beltac[0], size=None),\
np.random.lognormal(mean=math.log(sc[1]), sigma=beltac[1], size=None)])
if randomArray[0]<randomArray[1]:
capacity[i,[0,1]] = randomArray.copy()
flag = 0
return capacity
def capcityModel (self):
#生成3维的能力抽样矩阵
numComponent = len(self.edps)
systemCapacity = np.zeros((numComponent, self.n, 4))
for i in range(numComponent):
systemCapacity[i,:,:] = self.componentCapcityModel (self.edps[i])
return systemCapacity
def mmToInches (self,mm):
#mm transform to inches
inches=mm*0.0393700787
return inches
def systemFragilityCurvePlot (self, imRange, originalLnEDP, lmCoeffictionList, lmInterceptList):
#画出体系易损性曲线
imList = np.linspace(imRange[0], imRange[1], self.dot)
lnIMList = np.array([math.log(x) for x in imList])
lmFragilityLS1 = []
lmFragilityLS2 = []
lmFragilityLS3 = []
lmFragilityLS4 = []
for i in range(self.dot):
lnIM = lnIMList[i]
systemCapacity = self.capcityModel()
lmDemand = self.lmDemandModel (originalLnEDP, lnIM, lmCoeffictionList, lmInterceptList)
lmFragilityLS1.append(np.sum(np.sum(lmDemand>systemCapacity[:,:,0].T, axis=1)>0)/self.n)
lmFragilityLS2.append(np.sum(np.sum(lmDemand>systemCapacity[:,:,1].T, axis=1)>0)/self.n)
lmFragilityLS3.append(np.sum(np.sum(lmDemand>systemCapacity[:,:,2].T, axis=1)>0)/self.n)
lmFragilityLS4.append(np.sum(np.sum(lmDemand>systemCapacity[:,:,3].T, axis=1)>0)/self.n)
#画出体系易损性曲线
width=self.mmToInches(70)
height=self.mmToInches(50)
fig = plt.figure(facecolor="white", figsize=(width, height))
plt.plot(imList,lmFragilityLS1,color='red',linestyle=':',linewidth=1,label='LS1')
plt.plot(imList,lmFragilityLS2,color='red',linestyle='-.',linewidth=1,label='LS2')
plt.plot(imList,lmFragilityLS3,color='red',linestyle='--',linewidth=1,label='LS3')
plt.plot(imList,lmFragilityLS4,color='red',linestyle='-',linewidth=1,label='LS4')
plt.xlabel(self.im,size=8)
plt.ylabel('probaility',size=8)
plt.xlim(imRange[0], imRange[1])
plt.ylim(0, 1)
plt.legend(loc='lower right',frameon=True,edgecolor='black',fontsize=6)
ax=plt.gca()
ax.tick_params(direction='in')
labels = ax.get_xticklabels() + ax.get_yticklabels()
[label.set_fontname('Times New Roman') for label in labels]
plt.savefig('fagilitycurve/SystemFragilityCurve.png',dpi = 960, bbox_inches="tight")
plt.savefig('fagilitycurve/SystemFragilityCurve.eps',dpi = 960, bbox_inches="tight")