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Construction.py
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Construction.py
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#!/usr/bin/env python3
# Author: Dmitry Kukovinets (d1021976@gmail.com)
import json, copy
from sympy import *
from Bar import *
from Node import *
class Construction:
def __init__(self, file = None,
nodes = None, bars = None,
defaultNode = None,
defaultBar = None):
self.defaultBar = defaultBar or Bar()
self.defaultNode = defaultNode or Node()
self.elements = []
self.sizeX, self.sizeY = 0.0, 0.0
# Максимальные нагрузки
self.maxF, self.specq = 0.0, 0.0
self.maxqOnL = 0.0 # Относительная распределённая нагрузка = q / L
self.maxN = 0.0
self.maxU = 0.0
self.maxSigma = 0.0
# Координаты узлов для бинарного поиска ближайшего узла и стержня
self.nodeXs = []
# [A] * {Deltas} = {b}
self.A = None
self.b = None
self.Deltas = None
self.calculated = False # Конструкция была рассчитана
if file is None:
if nodes is None or bars is None: # Создаём конструкцию из элементов
return
else:
if len(nodes) != len(bars) + 1:
raise Exception("Некорректная конструкция " \
"(ожидается: количество узлов = количество стержней + 1)")
for i in range(0, len(bars)):
self.elements.append(nodes[i])
self.elements.append(bars[i])
self.elements.append(nodes[-1])
else:
try:
construction = json.load(file)
except Exception as e:
raise Exception("Невозможно обработать файл конструкции: %s" % e)
try:
self.defaultNode = Node(construction["default"]["node"])
except KeyError:
pass
try:
self.defaultBar = Bar(construction["default"]["bar"])
except KeyError:
pass
try:
self.A = eval(construction["A"])
self.b = eval(construction["b"])
self.calculated = True
except KeyError:
self.A = None
self.b = None
self.calculated = False
lastWasBar = True
for item in construction["construction"]:
element = self.elementFromJSON(item)
if type(element) == Bar:
if lastWasBar:
self.elements.append(copy.deepcopy(self.defaultNode))
lastWasBar = True
else:
if not lastWasBar:
self.elements.append(copy.deepcopy(self.defaultBar))
lastWasBar = False
self.elements.append(element)
if lastWasBar:
self.elements.append(copy.deepcopy(self.defaultNode))
# Вычисляем размеры конструкции, максимальные нагрузки, координаты и номера элементов
x, i = 0, 0
for element in self.elements:
self.calculated = self.calculated and element.calculated()
# Размеры
(elSizeX, elSizeY) = element.size()
self.sizeX += elSizeX
self.sizeY = max(self.sizeY, elSizeY)
# Нагрузки
(F, q) = element.loads()
self.maxF = max(self.maxF, abs(F))
# Относительная распределённая нагрузка
if elSizeX > 0:
qOnL = float(abs(q)) / elSizeX
if qOnL > self.maxqOnL:
self.maxqOnL, self.specq = qOnL, abs(q)
# Координата элемента
element.x = copy.deepcopy(x)
x += elSizeX
# Номер элемента
element.i = copy.deepcopy(i)
if type(element) == Bar: i += 1
# Предвычисляем список с координатами узлов (для бинарного поиска элементов)
for element in self.elements:
if type(element) == Node: self.nodeXs.append(element.x)
if len(self.elements) == 0:
self.calculated = False
if self.calculated:
for element in self.elements:
if type(element) == Bar:
c = element.maxComponents()
self.maxN = max(self.maxN, c[0])
self.maxU = max(self.maxU, c[1])
self.maxSigma = max(self.maxSigma, c[2])
def dump(self, file):
retDict = {
"default": {
"node": self.defaultNode.dump(),
"bar": self.defaultBar.dump()
},
"construction": [ element.dump() for element in self.elements ]
}
if self.calculated:
retDict.update({ "A": str(self.A), "b": str(self.b) })
json.dump(
retDict,
file
)
def calculate(self):
if self.empty(): return
bars = (len(self.elements) - 1) / 2
if bars > 0:
self.A = zeros(bars + 1)
self.b = zeros(bars + 1, 1)
self.Deltas = []
for element in self.elements:
element.calculate()
if type(element) == Bar:
self.A += diag(zeros(element.i), element.K, zeros(bars - element.i - 1))
# Учитываем реакции стержня
self.b[element.i , 0] -= element.Q[0, 0]
self.b[element.i + 1, 0] -= element.Q[1, 0]
else:
# Учитываем сосредоточенную нагрузку на узел
self.b[element.i] += element.F
self.Deltas.append(Symbol("Delta%s" % element.i))
for element in self.elements:
if type(element) == Node:
if element.fixed:
self.A.row_del(element.i)
self.A.col_del(element.i)
self.A = self.A \
.col_insert(element.i, zeros(bars, 1)) \
.row_insert(element.i, zeros(1, element.i) \
.row_join(Matrix([[1.0]])) \
.row_join(zeros(1, bars - element.i)))
self.b[element.i, 0] = 0
# Вычисляем перемещения узлов
res = solve_linear_system(self.A.row_join(self.b), *self.Deltas)
if res is None:
raise Exception("Конструкция не может быть рассчитана!")
for element in self.elements:
if type(element) == Bar:
element.U0 = res[self.Deltas[element.i ]]
element.UL = res[self.Deltas[element.i + 1]]
else:
element.Delta = res[self.Deltas[element.i]]
self.maxN = 0.0
self.maxU = 0.0
self.maxSigma = 0.0
for element in self.elements:
if type(element) == Bar:
c = element.maxComponents()
self.maxN = max(self.maxN, c[0])
self.maxU = max(self.maxU, c[1])
self.maxSigma = max(self.maxSigma, c[2])
self.calculated = True
else:
if len(self.elements) == 1: # Единственный узел неподвижен
self.elements[0].Delta = 0.0
self.maxN = 0.0
self.maxU = 0.0
self.maxSigma = 0.0
self.calculated = True
else:
self.calculated = False
def elementFromJSON(self, item):
isBar = similarToBar(item)
isNode = similarToNode(item)
if isBar and (not isNode):
return Bar(item, self.defaultBar)
elif (not isBar) and isNode:
return Node(item, self.defaultNode)
elif isBar and isNode:
raise Exception("Элемент конструкции похож на стержень и узел одновременно: %s" % item)
else:
raise Exception("Элемент конструкции не похож на стержень или узел: %s" % item)
def size(self, barNumber = None):
return (self.sizeX, self.sizeY) if barNumber is None \
else self.bar(barNumber).size()
def maxLoads(self, barNumber = None):
if barNumber is None:
return (self.maxF, self.specq, self.maxqOnL)
else:
bar = self.bar(barNumber)
nodeL, nodeR = self.nodeLeft(barNumber), self.nodeRigth(barNumber)
return (max(abs(nodeL.F), abs(nodeR.F)), abs(bar.q), abs(float(bar.q) / bar.L))
def maxComponents(self, barNumber = None):
return (self.maxN, self.maxU, self.maxSigma) if barNumber is None \
else self.bar(barNumber).maxComponents()
def empty(self):
return True if self.elementsCount() == 0 else False
def elementsCount(self):
return len(self.elements)
def barsCount(self):
return self.elementsCount() // 2
def nodesCount(self):
elementsCount = self.elementsCount()
return elementsCount // 2 + 1 if elementsCount > 0 else 0
def element(self, i):
return self.elements[i]
def bar(self, barNumber):
return self.element(2 * barNumber + 1)
def node(self, nodeNumber):
return self.element(2 * nodeNumber)
def nodeLeft(self, barNumber):
return self.node(barNumber)
def nodeRight(self, barNumber):
return self.node(barNumber + 1)
def barFirst(self):
return self.bar(0)
def barLast(self):
return self.bar(self.barsCount() - 1)
def nodeFirst(self):
return self.node(0)
def nodeLast(self):
return self.node(self.nodesCount() - 1)