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main.py
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main.py
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import math
import numpy as np
from utils import *
#from node import *
from calculate import *
if __name__=="__main__":
print('Welcome to SM_Solver')
print('author:GUOxianglong')
node_list=[[0.0, 0.0, 0.0],[0.01, 0.0, 0.0],[0.005, 0.00866025404, 0.010]]####
#node_list=[[0.0, 0.0, 0.0],[0.0, 0.33333, 0.0],[0.0,0.666666,0.0],[0.0,1.0,0.0]]
connect_node=[[0,1],[1,2],[0,2]]####
dist_list=[]
l=[]
Us=[[0,0,0],[0,1,0],[0,2,0],[1,1,0],[1,2,0],[2,2,0]]
Metal=[70.0, 2750.0, 7.854e-07, 0.0, 0.0, 0.0, 0.0]
'''connect_node=[[0,1],[1,2],[2,3]]####
dist_list=[]
l=[]
Us=[[0,0,0],[0,1,0],[0,2,0],[3,0,0],[3,1,0],[3,2,0],[1,0,0],[1,2,0],[2,0,0],[2,2,0]]
Metal=[1, 1e9, 1 , 0.0, 0.0, 0.0, 0.0]'''
Dict_disp={}
Lam = {}
Ke = {}
Me = {}
mode=0
R = []
while True:
node_list=convert(node_list)
connect_node=convert1(connect_node)
#dist_list=convert(dist_list)
print('输入calculate来计算')
print('输入add_node来添加节点')
print('输入add_connect来添加连接')
print('输入remove_node来删除节点')
print('输入add_point来添加节点间的节点')
print('输入remove_connect来删除连接')
print('输入remove_point来删除节点间的节点')
print('输入plot来绘图')
print('输入mat来输入材料参数')
print('输入force来添加载荷')
print('输入c来计算')
print('输入hz来计算频率')
print('输入l来输入节点约束')
print('exit退出')
#######################################################################
#Edit the shape of structure
imput=input("输入操作：")
if imput=="exit":
break
elif imput=="add_node" or imput=="an":
print("开始添加节点")
node_list=add_node_utils(node_list)
for i in range(len(node_list)):
print(i)
print(node_list[i])
elif imput=="remove_node" or imput=="rn":
print("开始删除节点")
node_list=remove_node_utils(node_list)
elif imput=="add_connect" or imput=="ac":
print("开始添加连接")
#print('相同节点添加一次力即可')
connect_node=add_connect_utils(node_list,connect_node)
elif imput=="add_point" or imput=="ap":
print("开始添加节点间的节点")
print('不推荐使用这个功能，推荐多次建立节点，然后连接')
dist_list=add_point_utils(node_list,connect_node,dist_list)
elif imput=="remove_connect" or imput=="rc":
print("开始删除连接")
connect_node=remove_connect_utils(node_list,connect_node)
elif imput=="remove_point" or imput=="rp":
print("开始删除节点间的节点")
dist_list=remove_point_utils(node_list,connect_node,dist_list)
elif imput=="plot" or imput=="p":
print("开始绘图")
plot(node_list,connect_node)
#######################################################################
#create displcements and angle displacements
elif imput=="mat" or imput=="m":
mode = int(input('请选择求解桁架还是刚架，桁架请输入0，刚架请输入1\n'))
Metal = input('请输入材料杨氏模量E，密度p，杆或梁的横截面积A，惯性矩Iz（杆输入0）,惯性矩Iy（杆输入0）,极惯性矩Ip（杆输入0）,剪切模量G（杆输入0）\n格式为E(GPa)，p(kg/m^3)，A(m^2)，Iz(m^4)，Iy(m^4)，Ip(m^4),G(GPa)\n').split(',')
Metal = list(map(float,Metal))
R = []
while True:
if mode == 0:
if Metal[3] != 0 or Metal[4] != 0 or Metal[5] != 0 or Metal[6] != 0:
print('Iz或Iy或Ip不等于0!!!!!')
Metal = input('请输入材料杨氏模量E，密度p，杆或梁的横截面积A，惯性矩Iz（杆输入0）,惯性矩Iy（杆输入0）,极惯性矩Ip（杆输入0）,剪切模量G（杆输入0）\n格式为E(GPa)，p(kg/m^3)，A(m^2)，Iz(m^4)，Iy(m^4)，Ip(m^4),G(GPa)\n').split(',')
Metal = list(map(float,Metal))
else:
print('设置完毕，桁架模式，材料参数如下',Metal)
break
elif mode == 1:
print('设置完毕，刚架模式，材料参数如下',Metal)
break
else:
print('模式选择错误，请重新选择')
mode = int(input('请选择求解桁架还是刚架，桁架请输入0，刚架请输入1\n'))
Metal = input('请输入材料杨氏模量E，密度p，杆或梁的横截面积A，惯性矩Iz（杆输入0）,惯性矩Iy（杆输入0）,极惯性矩Ip（杆输入0）,剪切模量G（杆输入0）\n格式为E(GPa)，p(kg/m^3)，A(m^2)，Iz(m^4)，Iy(m^4)，Ip(m^4),G(GPa)\n').split(',')
Metal = list(map(float,Metal))
elif imput=='force' or imput=='f':
R=add_force(R,node_list,connect_node,mode)
elif imput=='l':
l=get_l(l)
Us=convert(l)
elif imput=='calculate' or imput=='c':
E,D,A,Iz,Iy,Ix,G = (Metal[0],Metal[1],Metal[2],Metal[3],Metal[4],Metal[5],Metal[6])
for i in range(len(connect_node)):
node = connect_node[i]
op = node_list[node[0]]
ed = node_list[node[1]]
ele_array = np.array(op)-np.array(ed)
lenth = np.linalg.norm(ele_array)
if mode == 0:
print('衔架')
Lam[i] = cal_lam(ele_array,mode)
k = np.matrix([[1,-1],[-1,1]],dtype=float)
m = np.matrix([[2,1],[1,2]],dtype=float)#一致质量矩阵
Ke[i] = np.mat((E*10**9*A/lenth)*k)
Me[i] = D*A*lenth*m/6
elif mode == 1:
print('钢架')
print(op,ed)
enode = np.array(list(map(float,input('请输入任意主平面xy内点的坐标，格式为0,0,0\n').split(','))))-np.array(op)
Lam[i] = cal_lam(ele_array,mode,enode)
k = np.matrix(np.zeros((12,12),dtype=float))
a1,a2,a3,a4,a5,a6,a7,a8 = (E*A/lenth,12*E*Iz/lenth**3,6*E*Iz/lenth**2,12*E*Iy/lenth**3,-6*E*Iy/lenth**2,G*Ix/lenth,4*E*Iy/lenth,4*E*Iz/lenth)
k[0,0],k[1,1],k[5,1],k[2,2],k[4,2],k[3,3],k[4,4],k[5,5] = (a1,a2,a3,a4,a5,a6,a7,a8)
k[6:12,6:12] = k[0:6,0:6]
k[11,7],k[10,8] = (-a3,-a5)
k[6,0],k[7,1],k[11,1],k[8,2],k[10,2],k[9,3],k[8,4],k[10,4],k[7,5],k[11,5] = (-a1,-a2,a3,-a4,a5,-a6,-a5,-a5/3,-a3,a8/2)
k += k.T - np.diag(k.diagonal())
Ke[i] = np.matrix(k,dtype=float)
m = np.matrix(np.zeros((12,12),dtype=float))
m[0,0],m[1,1],m[5,1],m[2,2],m[4,2],m[3,3],m[4,4],m[5,5] = (140,156,22*lenth,156,-22*lenth,140*Ix/A,4*lenth**2,4*lenth**2)
m[6:12,6:12] = m[0:6,0:6]
m[11,7],m[10,8] = (-22*lenth,22*lenth)
m[6,0],m[7,1],m[11,1],m[8,2],m[10,2],m[9,3],m[8,4],m[10,4],m[7,5],m[11,5] = (70,54,-13*lenth,54,13*lenth,70*Ix/A,-13*lenth,-3*lenth**2,13*lenth,-3*lenth**2)
m += m.T - np.diag(m.diagonal())
Me[i] = np.matrix(D*A*lenth*m/420,dtype=float)
u_and_fw_out = u_and_fw(mode,node_list,R,connect_node,Lam,Ke,Me)
Uw = u_and_fw_out[0]#位移列向量
Fw = u_and_fw_out[1]#载荷列向量
K_an_M_out = cal_k_or_m(mode,node_list,connect_node,Lam,Ke,Me)
Kw = K_an_M_out[0]
Mw = K_an_M_out[1]
Uw = cal(Fw,Kw,mode,node_list,Us)
print(Uw)
s=int(input('请输入放大倍数：'))
#s=50000000
draw_strain(node_list,connect_node,Uw,mode,s)
elif imput=='hz':
E,D,A,Iz,Iy,Ix,G = (Metal[0],Metal[1],Metal[2],Metal[3],Metal[4],Metal[5],Metal[6])
for i in range(len(connect_node)):
node = connect_node[i]
op = node_list[node[0]]
ed = node_list[node[1]]
ele_array = np.array(op)-np.array(ed)
lenth = np.linalg.norm(ele_array)
if mode == 0:
print('衔架')
Lam[i] = cal_lam(ele_array,mode)
k = np.matrix([[1,-1],[-1,1]],dtype='float64')
m = np.matrix([[2,1],[1,2]],dtype='float64')#一致0
#质量矩阵
Ke[i] = np.mat((E*10**9*A/lenth)*k)
Me[i] = D*A*lenth*m/6
elif mode == 1:
print('钢架')
print(op,ed)
enode = np.array(list(map(float,input('请输入任意主平面xy内点的坐标，格式为0,0,0\n').split(','))))-np.array(op)
Lam[i] = cal_lam(ele_array,mode,enode)
k = np.matrix(np.zeros((12,12),dtype='float64'))
a1,a2,a3,a4,a5,a6,a7,a8 = (E*A/lenth,12*E*Iz/lenth**3,6*E*Iz/lenth**2,12*E*Iy/lenth**3,-6*E*Iy/lenth**2,G*Ix/lenth,4*E*Iy/lenth,4*E*Iz/lenth)
k[0,0],k[1,1],k[5,1],k[2,2],k[4,2],k[3,3],k[4,4],k[5,5] = (a1,a2,a3,a4,a5,a6,a7,a8)
k[6:12,6:12] = k[0:6,0:6]
k[11,7],k[10,8] = (-a3,-a5)
k[6,0],k[7,1],k[11,1],k[8,2],k[10,2],k[9,3],k[8,4],k[10,4],k[7,5],k[11,5] = (-a1,-a2,a3,-a4,a5,-a6,-a5,-a5/3,-a3,a8/2)
k += k.T - np.diag(k.diagonal())
Ke[i] = np.matrix(k,dtype=float)
m = np.matrix(np.zeros((12,12),dtype='float64'))
m[0,0],m[1,1],m[5,1],m[2,2],m[4,2],m[3,3],m[4,4],m[5,5] = (140,156,22*lenth,156,-22*lenth,140*Ix/A,4*lenth**2,4*lenth**2)
m[6:12,6:12] = m[0:6,0:6]
m[11,7],m[10,8] = (-22*lenth,22*lenth)
m[6,0],m[7,1],m[11,1],m[8,2],m[10,2],m[9,3],m[8,4],m[10,4],m[7,5],m[11,5] = (70,54,-13*lenth,54,13*lenth,70*Ix/A,-13*lenth,-3*lenth**2,13*lenth,-3*lenth**2)
m += m.T - np.diag(m.diagonal())
Me[i] = np.matrix(D*A*lenth*m/420,dtype='float64')
u_and_fw_out = u_and_fw(mode,node_list,R,connect_node,Lam,Ke,Me)
Uw = u_and_fw_out[0]#位移列向量
Fw = u_and_fw_out[1]#载荷列向量
K_an_M_out = cal_k_or_m(mode,node_list,connect_node,Lam,Ke,Me)
Kw = K_an_M_out[0]
Mw = K_an_M_out[1]
Uss=[None]*len(node_list)
for i in range(len(node_list)):
Uss[i]=[0,0,0]
for j in Us:
i=int(j[0])
if j[1]==0:
Uss[i][0]=1
elif j[1]==1:
Uss[i][1]=1
elif j[1]==2:
Uss[i][2]=1
#import numpy as np
import scipy.linalg as sl
def delete(K, M, NP=len(node_list), NRR=Uss, NF=3):
DK = K.copy()
DM = M.copy()
count = []
for i in range(NP):
for j in range(NF):
print(i,j)
if NRR[i][j] == 1:
count.append(i * NF + j)
# 将 count 转换为 NumPy 数组以便于索引
count = np.array(count)
# 删除行和列
DK = np.delete(DK, count, axis=0)
DK = np.delete(DK, count, axis=1)
DM = np.delete(DM, count, axis=0)
DM = np.delete(DM, count, axis=1)
return DK, DM
# 示例用法:
# 假设在调用函数之前已经定义了 Node、Uss 和 NP 的值
# K 和 M 是你的二维 NumPy 数组
# DK, DM = delete(K, M, len(Node), Uss, NP)
DK,DM=delete(Kw, Mw)
print('-------------------------Kw-------------------------')
print(Kw)
print('-------------------------Mw-------------------------')
print(Mw)
e,v = sl.eig(DK,DM)
#e=np.sqrt(e)
print('-------------------------e-------------------------')
print(e)
print('-------------------------v-------------------------')
print(v)
#57924 105610 139080
#print(la.norm(DK-DM*e[0]))
print('-------------------------omega-------------------------')
e=np.sqrt(e)
print(e)
print('-------------------------Uw-------------------------')
m=0
for i in range(len(v)):
Uw=[None]*3*len(node_list)
n=0
for i in range(len(node_list)):
for j in range(3):
#print(i,j)
if Uss[i][j] == 1:
Uw[i * 3 + j]=0
for i in range(len(Uw)):
if Uw[i] == None:
Uw[i]=v[m][n]
n+=1
m+=1
s=int(input('请输入放大倍数：'))
#s=0.001
draw_strain(node_list,connect_node,Uw,mode,s)
else:
print("输入错误")