急需大侠们的帮助!基于matlab的悬置系统解耦优化!!!
%以下是悬置系统固有特性计算程序:clear
clc
%%%%%%%%%%%%---动力总成质量---%%%%%%%%%%%
m=2000;%kg
%%%%%%%%%%%%%%---惯性积---%%%%%%%%%%%%
Jx=705.6;Jy=258.7;Jz=842.8;Jxy=0;Jyz=0;Jzx=0;%kg*m*m
%%%%%%%%%%%%---各个悬置点坐标---%%%%%%%%%%
X1=-0.62; Y1=0.7;Z1=0.33;
X2=-0.62; Y2=0; Z2=0.33;
X3=-0.62; Y3=-0.7; Z3=0.33;
X4=-0.62; Y4=-0.7; Z4=-0.33;
X5=-0.62; Y5=0; Z5=-0.33;
X6=-0.62; Y6=0.7;Z6=-0.33;%mm在下面将位移坐标变成m
%%%%%%%%%%%---各个悬置的三向刚度---%%%%%%%%%
K1x=3920000; K1y=2764000; K1z=970000;
K2x=3920000; K2y=2764000; K2z=970000;
K3x=3920000; K3y=2764000; K3z=970000;
K4x=3920000; K4y=2764000; K4z=970000;
K5x=3920000; K5y=2764000; K5z=970000;
K6x=3920000; K6y=2764000; K6z=970000;%N/m
%%%%%%%%%%%%---各个悬置的安装角度---%%%%%%%%%%
%%%%%%%%%%%%---悬置1安装角度---%%%%%%%%%%%%%%
ALFA1u=0; BETA1u=90*pi/180;GAMA1u=90*pi/180;
ALFA1v=90*pi/180;BETA1v=0;GAMA1v=90*pi/180;
ALFA1w=90*pi/180;BETA1w=90*pi/180;GAMA1w=0;
%%%%%%%%%%%%%---悬置2安装角度---%%%%%%%%%%%%
ALFA2u=0;BETA2u=90*pi/180;GAMA2u=90*pi/180;
ALFA2v=90*pi/180;BETA2v=0;GAMA2v=90*pi/180;
ALFA2w=90*pi/180;BETA2w=90*pi/180;GAMA2w=0;
%%%%%%%%%%%%%---悬置3安装角度---%%%%%%%%%%%%
ALFA3u=0;BETA3u=90*pi/180;GAMA3u=90*pi/180;
ALFA3v=90*pi/180;BETA3v=0;GAMA3v=90*pi/180;
ALFA3w=90*pi/180;BETA3w=90*pi/180;GAMA3w=0;
%%%%%%%%%%%%%---悬置4安装角度---%%%%%%%%%%%%%
ALFA4u=0;BETA4u=90*pi/180;GAMA4u=90*pi/180;
ALFA4v=90*pi/180;BETA4v=0;GAMA4v=90*pi/180;
ALFA4w=90*pi/180;BETA4w=90*pi/180;GAMA4w=0;
%%%%%%%%%%%%%---悬置5安装角度---%%%%%%%%%%%%%
ALFA5u=0;BETA5u=90*pi/180;GAMA5u=90*pi/180;
ALFA5v=90*pi/180;BETA5v=0;GAMA5v=90*pi/180;
ALFA5w=90*pi/180;BETA5w=90*pi/180;GAMA5w=0;
%%%%%%%%%%%%%---悬置6安装角度---%%%%%%%%%%%%%
ALFA6u=0;BETA6u=90*pi/180;GAMA6u=90*pi/180;
ALFA6v=90*pi/180;BETA6v=0;GAMA6v=90*pi/180;
ALFA6w=90*pi/180;BETA6w=90*pi/180;GAMA6w=0;
%%%%%%%%%%%%%---安装角矩阵Tj---%%%%%%%%%%%%%
T1=;
T2=;
T3=;
T4=;
T5=;
T6=;
%%%%%%%%%%%%%%---参数输入完毕---%%%%%%%%%%%%
%%%%%%%%%%%====================%%%%%%%%%%
%%%%%%%%%%%---能量表达式中的Fj和kj---%%%%%%%%%%
B1=;
B2=;
B3=;
B4=;
B5=;
B6=;
%%%此处将位移坐标转变成m
k1=;
k2=;
k3=;
k4=;
k5=;
k6=;
%%%%%%%%%%%---振动方程中的M,D和K---%%%%%%%%%%
M=;
% D=;
K=B1'*T1'*k1*T1*B1+B2'*T2'*k2*T2*B2+B3'*T3'*k3*T3*B3+B4'*T4'*k4*T4*B4+B5'*T5'*k5*T5*B5+B6'*T6'*k6*T6*B6;
%%%%%%%%%%%%%---下面计算系统固有特性---%%%%%%%%%%%%%
=eig(K,M);
for j=1:6
for k=1:6
for l=1:6
ENERGY(k,l)=M(k,l)*v(k,j)*v(l,j);
end
end
qq=sum(ENERGY);
qqt=sum(qq);
dig=;
EGEN(:,j)=dig;
ep1=max(dig);
ep2=sum(dig);
eper(j)=ep1/ep2*100;
end
f=diag(sqrt(d)/2/pi)'%固有频率
v
eper
EGEN=EGEN*100
%以下是解耦优化的目标函数:
function y=fun_2(x)
%%%%%%%%%%%%---动力总成质量---%%%%%%%%%%%
m=2000;%kg
%%%%%%%%%%%%%%---惯性积---%%%%%%%%%%%%
Jx=705.6;Jy=258.7;Jz=842.8;Jxy=0;Jyz=0;Jzx=0;%kg*m*m
%%%%%%%%%%%%---各个悬置点坐标---%%%%%%%%%%
X1=-0.62; Y1=0.7;Z1=0.33;
X2=-0.62; Y2=0; Z2=0.33;
X3=-0.62; Y3=-0.7; Z3=0.33;
X4=-0.62; Y4=-0.7; Z4=-0.33;
X5=-0.62; Y5=0; Z5=-0.33;
X6=-0.62; Y6=0.7;Z6=-0.33;%mm在下面将位移坐标变成m
%%%%%%%%%%%---各个悬置的三向刚度---%%%%%%%%%
% K1x=3920000; K1y=2764000; K1z=970000;
% K2x=3920000; K2y=2764000; K2z=970000;
% K3x=3920000; K3y=2764000; K3z=970000;
% K4x=3920000; K4y=2764000; K4z=970000;
% K5x=3920000; K5y=2764000; K5z=970000;
% K6x=3920000; K6y=2764000; K6z=970000;%N/m
%%%%%%%%%%%%---各个悬置的安装角度---%%%%%%%%%%
%%%%%%%%%%%%---悬置1安装角度---%%%%%%%%%%%%%%
ALFA1u=0; BETA1u=90*pi/180;GAMA1u=90*pi/180;
ALFA1v=90*pi/180;BETA1v=0;GAMA1v=90*pi/180;
ALFA1w=90*pi/180;BETA1w=90*pi/180;GAMA1w=0;
%%%%%%%%%%%%%---悬置2安装角度---%%%%%%%%%%%%
ALFA2u=0;BETA2u=90*pi/180;GAMA2u=90*pi/180;
ALFA2v=90*pi/180;BETA2v=0;GAMA2v=90*pi/180;
ALFA2w=90*pi/180;BETA2w=90*pi/180;GAMA2w=0;
%%%%%%%%%%%%%---悬置3安装角度---%%%%%%%%%%%%
ALFA3u=0;BETA3u=90*pi/180;GAMA3u=90*pi/180;
ALFA3v=90*pi/180;BETA3v=0;GAMA3v=90*pi/180;
ALFA3w=90*pi/180;BETA3w=90*pi/180;GAMA3w=0;
%%%%%%%%%%%%%---悬置4安装角度---%%%%%%%%%%%%%
ALFA4u=0;BETA4u=90*pi/180;GAMA4u=90*pi/180;
ALFA4v=90*pi/180;BETA4v=0;GAMA4v=90*pi/180;
ALFA4w=90*pi/180;BETA4w=90*pi/180;GAMA4w=0;
%%%%%%%%%%%%%---悬置5安装角度---%%%%%%%%%%%%%
ALFA5u=0;BETA5u=90*pi/180;GAMA5u=90*pi/180;
ALFA5v=90*pi/180;BETA5v=0;GAMA5v=90*pi/180;
ALFA5w=90*pi/180;BETA5w=90*pi/180;GAMA5w=0;
%%%%%%%%%%%%%---悬置6安装角度---%%%%%%%%%%%%%
ALFA6u=0;BETA6u=90*pi/180;GAMA6u=90*pi/180;
ALFA6v=90*pi/180;BETA6v=0;GAMA6v=90*pi/180;
ALFA6w=90*pi/180;BETA6w=90*pi/180;GAMA6w=0;
%%%%%%%%%%%%%---安装角矩阵Tj---%%%%%%%%%%%%%
T1=;
T2=;
T3=;
T4=;
T5=;
T6=;
%%%%%%%%%%%%%%---参数输入完毕---%%%%%%%%%%%%
%%%%%%%%%%%====================%%%%%%%%%%
%%%%%%%%%%%---能量表达式中的Fj和kj---%%%%%%%%%%
B1=;
B2=;
B3=;
B4=;
B5=;
B6=;
%%%此处将位移坐标转变成m
k1=;
k2=;
k3=;
k4=;
k5=;
k6=;
%%%%%%%%%%%---振动方程中的M,D和K---%%%%%%%%%%
M=;
% D=;
K=B1'*T1'*k1*T1*B1+B2'*T2'*k2*T2*B2+B3'*T3'*k3*T3*B3+B4'*T4'*k4*T4*B4+B5'*T5'*k5*T5*B5+B6'*T6'*k6*T6*B6;
%%%%%%%%%%%%%---下面计算系统固有特性---%%%%%%%%%%%%%
=eig(K,M);
for j=1:6
for k=1:6
for l=1:6
ENERGY(k,l)=M(k,l)*v(k,j)*v(l,j);
end
end
qq=sum(ENERGY);
qqt=sum(qq);
dig=;
EGEN(:,j)=dig;
ep1=max(dig);
ep2=sum(dig);
eper(j)=ep1/ep2*100;
end
f=diag(sqrt(d)/2/pi)';%固有频率
v;
eper;
EGEN=EGEN*100;
y=-max(EGEN(:,1))-max(EGEN(:,2))-max(EGEN(:,3))-max(EGEN(:,4))-max(EGEN(:,5))-max(EGEN(:,6));
%以下是固有频率约束函数:
function =myfuncon_2(x)
%%%%%%%%%%%%---动力总成质量---%%%%%%%%%%%
m=2000;%kg
%%%%%%%%%%%%%%---惯性积---%%%%%%%%%%%%
Jx=705.6;Jy=258.7;Jz=842.8;Jxy=0;Jyz=0;Jzx=0;%kg*m*m
%%%%%%%%%%%%---各个悬置点坐标---%%%%%%%%%%
X1=-0.62; Y1=0.7;Z1=0.33;
X2=-0.62; Y2=0; Z2=0.33;
X3=-0.62; Y3=-0.7; Z3=0.33;
X4=-0.62; Y4=-0.7; Z4=-0.33;
X5=-0.62; Y5=0; Z5=-0.33;
X6=-0.62; Y6=0.7;Z6=-0.33;%mm在下面将位移坐标变成m
%%%%%%%%%%%---各个悬置的三向刚度---%%%%%%%%%
% K1x=3920000; K1y=2764000; K1z=970000;
% K2x=3920000; K2y=2764000; K2z=970000;
% K3x=3920000; K3y=2764000; K3z=970000;
% K4x=3920000; K4y=2764000; K4z=970000;
% K5x=3920000; K5y=2764000; K5z=970000;
% K6x=3920000; K6y=2764000; K6z=970000;%N/m
%%%%%%%%%%%%---各个悬置的安装角度---%%%%%%%%%%
%%%%%%%%%%%%---悬置1安装角度---%%%%%%%%%%%%%%
ALFA1u=0; BETA1u=90*pi/180;GAMA1u=90*pi/180;
ALFA1v=90*pi/180;BETA1v=0;GAMA1v=90*pi/180;
ALFA1w=90*pi/180;BETA1w=90*pi/180;GAMA1w=0;
%%%%%%%%%%%%%---悬置2安装角度---%%%%%%%%%%%%
ALFA2u=0;BETA2u=90*pi/180;GAMA2u=90*pi/180;
ALFA2v=90*pi/180;BETA2v=0;GAMA2v=90*pi/180;
ALFA2w=90*pi/180;BETA2w=90*pi/180;GAMA2w=0;
%%%%%%%%%%%%%---悬置3安装角度---%%%%%%%%%%%%
ALFA3u=0;BETA3u=90*pi/180;GAMA3u=90*pi/180;
ALFA3v=90*pi/180;BETA3v=0;GAMA3v=90*pi/180;
ALFA3w=90*pi/180;BETA3w=90*pi/180;GAMA3w=0;
%%%%%%%%%%%%%---悬置4安装角度---%%%%%%%%%%%%%
ALFA4u=0;BETA4u=90*pi/180;GAMA4u=90*pi/180;
ALFA4v=90*pi/180;BETA4v=0;GAMA4v=90*pi/180;
ALFA4w=90*pi/180;BETA4w=90*pi/180;GAMA4w=0;
%%%%%%%%%%%%%---悬置5安装角度---%%%%%%%%%%%%%
ALFA5u=0;BETA5u=90*pi/180;GAMA5u=90*pi/180;
ALFA5v=90*pi/180;BETA5v=0;GAMA5v=90*pi/180;
ALFA5w=90*pi/180;BETA5w=90*pi/180;GAMA5w=0;
%%%%%%%%%%%%%---悬置6安装角度---%%%%%%%%%%%%%
ALFA6u=0;BETA6u=90*pi/180;GAMA6u=90*pi/180;
ALFA6v=90*pi/180;BETA6v=0;GAMA6v=90*pi/180;
ALFA6w=90*pi/180;BETA6w=90*pi/180;GAMA6w=0;
%%%%%%%%%%%%%---安装角矩阵Tj---%%%%%%%%%%%%%
T1=;
T2=;
T3=;
T4=;
T5=;
T6=;
%%%%%%%%%%%%%%---参数输入完毕---%%%%%%%%%%%%
%%%%%%%%%%%====================%%%%%%%%%%
%%%%%%%%%%%---能量表达式中的Fj和kj---%%%%%%%%%%
B1=;
B2=;
B3=;
B4=;
B5=;
B6=;
%%%此处将位移坐标转变成m
k1=;
k2=;
k3=;
k4=;
k5=;
k6=;
%%%%%%%%%%%---振动方程中的M,D和K---%%%%%%%%%%
M=;
% D=;
K=B1'*T1'*k1*T1*B1+B2'*T2'*k2*T2*B2+B3'*T3'*k3*T3*B3+B4'*T4'*k4*T4*B4+B5'*T5'*k5*T5*B5+B6'*T6'*k6*T6*B6;
%%%%%%%%%%%%%---下面计算系统固有特性---%%%%%%%%%%%%%
=eig(K,M);
g=diag(sqrt(d)/2/pi)';
c(1)=g(1)-7;
c(2)=g(2)-10;
c(3)=g(3)-12;
c(4)=g(4)-18;
c(5)=g(5)-23;
c(6)=g(6)-25;
c(7)=3-g(1);
c(8)=6-g(2);
c(9)=11-g(3);
c(10)=17-g(4);
c(11)=22-g(5);
c(12)=23-g(6);%固有频率约束
%c1=;
ceq=[];
%以下是求解M文件:
function f=goal_jieou_2()
clc
clear
x0=;%刚度初值
lb=;
ub=;
options = optimset('LargeScale','off','Display','final','TolFun',1e-6,'TolCon',1e-4,'TolX',1e-8);
=fmincon(@fun_2,x0,[],[],[],[],lb,ub,@myfuncon_2,options)
%以下是运行结果:
Optimization terminated: first-order optimality measure less
than options.TolFun and maximum constraint violation is less
than options.TolCon.
No active inequalities.
x =
1.0e+006 *
3.8463
-0.0812
4.9000
fval =
-560.5541
exitflag =
1
output =
iterations: 26
funcCount: 137
lssteplength: 1
stepsize: 2.8780e+010
algorithm: 'medium-scale: SQP, Quasi-Newton, line-search'
firstorderopt: 16.0443
message:
回复 1 # hover 的帖子
为什么求出的刚度值不在约束范围之内???调了好多天了 毕业设计要用!急需各位大侠们的帮助! 太长了, 没法看! 由报错好像告知约束没作用!
Optimization terminated: first-order optimality measure less
than options.TolFun and maximum constraint violation is less
than options.TolCon.
No active inequalities.
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