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%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=[cos(ALFA1u),cos(BETA1u),cos(GAMA1u);cos(ALFA1v),cos(BETA1v),cos(GAMA1v);cos(ALFA1w),cos(BETA1w),cos(GAMA1w)];
T2=[cos(ALFA2u),cos(BETA2u),cos(GAMA2u);cos(ALFA2v),cos(BETA2v),cos(GAMA2v);cos(ALFA2w),cos(BETA2w),cos(GAMA2w)];
T3=[cos(ALFA3u),cos(BETA3u),cos(GAMA3u);cos(ALFA3v),cos(BETA3v),cos(GAMA3v);cos(ALFA3w),cos(BETA3w),cos(GAMA3w)];
T4=[cos(ALFA4u),cos(BETA4u),cos(GAMA4u);cos(ALFA4v),cos(BETA4v),cos(GAMA4v);cos(ALFA4w),cos(BETA4w),cos(GAMA4w)];
T5=[cos(ALFA5u),cos(BETA5u),cos(GAMA5u);cos(ALFA5v),cos(BETA5v),cos(GAMA5v);cos(ALFA5w),cos(BETA5w),cos(GAMA5w)];
T6=[cos(ALFA6u),cos(BETA6u),cos(GAMA6u);cos(ALFA6v),cos(BETA6v),cos(GAMA6v);cos(ALFA6w),cos(BETA6w),cos(GAMA6w)];
%%%%%%%%%%%%%%---参数输入完毕---%%%%%%%%%%%%
%%%%%%%%%%%====================%%%%%%%%%%
%%%%%%%%%%%---能量表达式中的Fj和kj---%%%%%%%%%%
B1=[1,0,0,0,Z1,-Y1;0,1,0,-Z1,0,X1;0,0,1,Y1,-X1,0];
B2=[1,0,0,0,Z2,-Y2;0,1,0,-Z2,0,X2;0,0,1,Y2,-X2,0];
B3=[1,0,0,0,Z3,-Y3;0,1,0,-Z3,0,X3;0,0,1,Y3,-X3,0];
B4=[1,0,0,0,Z4,-Y4;0,1,0,-Z4,0,X4;0,0,1,Y4,-X4,0];
B5=[1,0,0,0,Z5,-Y5;0,1,0,-Z5,0,X5;0,0,1,Y5,-X5,0];
B6=[1,0,0,0,Z6,-Y6;0,1,0,-Z6,0,X6;0,0,1,Y6,-X6,0];
%%%此处将位移坐标转变成m
k1=[K1x,0,0;0,K1y,0;0,0,K1z];
k2=[K2x,0,0;0,K2y,0;0,0,K2z];
k3=[K3x,0,0;0,K3y,0;0,0,K3z];
k4=[K4x,0,0;0,K4y,0;0,0,K4z];
k5=[K5x,0,0;0,K5y,0;0,0,K5z];
k6=[K6x,0,0;0,K6y,0;0,0,K6z];
%%%%%%%%%%%---振动方程中的M,D和K---%%%%%%%%%%
M=[m,0,0,0,0,0;0,m,0,0,0,0;0,0,m,0,0,0;0,0,0,Jx,-Jxy,-Jzx;0,0,0,-Jxy,Jy,-Jyz;0,0,0,-Jzx,-Jyz,Jz];
% D=[1200,0,0,0,0,0;0,1600,0,0,0,0;0,0,2000,0,0,0;0,0,0,60,0,0;0,0,0,0,80,0;0,0,0,0,0,100];
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---%%%%%%%%%%%%%
[v,d]=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=[qq/qqt];
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=[cos(ALFA1u),cos(BETA1u),cos(GAMA1u);cos(ALFA1v),cos(BETA1v),cos(GAMA1v);cos(ALFA1w),cos(BETA1w),cos(GAMA1w)];
T2=[cos(ALFA2u),cos(BETA2u),cos(GAMA2u);cos(ALFA2v),cos(BETA2v),cos(GAMA2v);cos(ALFA2w),cos(BETA2w),cos(GAMA2w)];
T3=[cos(ALFA3u),cos(BETA3u),cos(GAMA3u);cos(ALFA3v),cos(BETA3v),cos(GAMA3v);cos(ALFA3w),cos(BETA3w),cos(GAMA3w)];
T4=[cos(ALFA4u),cos(BETA4u),cos(GAMA4u);cos(ALFA4v),cos(BETA4v),cos(GAMA4v);cos(ALFA4w),cos(BETA4w),cos(GAMA4w)];
T5=[cos(ALFA5u),cos(BETA5u),cos(GAMA5u);cos(ALFA5v),cos(BETA5v),cos(GAMA5v);cos(ALFA5w),cos(BETA5w),cos(GAMA5w)];
T6=[cos(ALFA6u),cos(BETA6u),cos(GAMA6u);cos(ALFA6v),cos(BETA6v),cos(GAMA6v);cos(ALFA6w),cos(BETA6w),cos(GAMA6w)];
%%%%%%%%%%%%%%---参数输入完毕---%%%%%%%%%%%%
%%%%%%%%%%%====================%%%%%%%%%%
%%%%%%%%%%%---能量表达式中的Fj和kj---%%%%%%%%%%
B1=[1,0,0,0,Z1,-Y1;0,1,0,-Z1,0,X1;0,0,1,Y1,-X1,0];
B2=[1,0,0,0,Z2,-Y2;0,1,0,-Z2,0,X2;0,0,1,Y2,-X2,0];
B3=[1,0,0,0,Z3,-Y3;0,1,0,-Z3,0,X3;0,0,1,Y3,-X3,0];
B4=[1,0,0,0,Z4,-Y4;0,1,0,-Z4,0,X4;0,0,1,Y4,-X4,0];
B5=[1,0,0,0,Z5,-Y5;0,1,0,-Z5,0,X5;0,0,1,Y5,-X5,0];
B6=[1,0,0,0,Z6,-Y6;0,1,0,-Z6,0,X6;0,0,1,Y6,-X6,0];
%%%此处将位移坐标转变成m
k1=[x(1),0,0;0,x(2),0;0,0,x(3)];
k2=[x(1),0,0;0,x(2),0;0,0,x(3)];
k3=[x(1),0,0;0,x(2),0;0,0,x(3)];
k4=[x(1),0,0;0,x(2),0;0,0,x(3)];
k5=[x(1),0,0;0,x(2),0;0,0,x(3)];
k6=[x(1),0,0;0,x(2),0;0,0,x(3)];
%%%%%%%%%%%---振动方程中的M,D和K---%%%%%%%%%%
M=[m,0,0,0,0,0;0,m,0,0,0,0;0,0,m,0,0,0;0,0,0,Jx,-Jxy,-Jzx;0,0,0,-Jxy,Jy,-Jyz;0,0,0,-Jzx,-Jyz,Jz];
% D=[1200,0,0,0,0,0;0,1600,0,0,0,0;0,0,2000,0,0,0;0,0,0,60,0,0;0,0,0,0,80,0;0,0,0,0,0,100];
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---%%%%%%%%%%%%%
[v,d]=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=[qq/qqt];
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 [c,ceq]=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=[cos(ALFA1u),cos(BETA1u),cos(GAMA1u);cos(ALFA1v),cos(BETA1v),cos(GAMA1v);cos(ALFA1w),cos(BETA1w),cos(GAMA1w)];
T2=[cos(ALFA2u),cos(BETA2u),cos(GAMA2u);cos(ALFA2v),cos(BETA2v),cos(GAMA2v);cos(ALFA2w),cos(BETA2w),cos(GAMA2w)];
T3=[cos(ALFA3u),cos(BETA3u),cos(GAMA3u);cos(ALFA3v),cos(BETA3v),cos(GAMA3v);cos(ALFA3w),cos(BETA3w),cos(GAMA3w)];
T4=[cos(ALFA4u),cos(BETA4u),cos(GAMA4u);cos(ALFA4v),cos(BETA4v),cos(GAMA4v);cos(ALFA4w),cos(BETA4w),cos(GAMA4w)];
T5=[cos(ALFA5u),cos(BETA5u),cos(GAMA5u);cos(ALFA5v),cos(BETA5v),cos(GAMA5v);cos(ALFA5w),cos(BETA5w),cos(GAMA5w)];
T6=[cos(ALFA6u),cos(BETA6u),cos(GAMA6u);cos(ALFA6v),cos(BETA6v),cos(GAMA6v);cos(ALFA6w),cos(BETA6w),cos(GAMA6w)];
%%%%%%%%%%%%%%---参数输入完毕---%%%%%%%%%%%%
%%%%%%%%%%%====================%%%%%%%%%%
%%%%%%%%%%%---能量表达式中的Fj和kj---%%%%%%%%%%
B1=[1,0,0,0,Z1,-Y1;0,1,0,-Z1,0,X1;0,0,1,Y1,-X1,0];
B2=[1,0,0,0,Z2,-Y2;0,1,0,-Z2,0,X2;0,0,1,Y2,-X2,0];
B3=[1,0,0,0,Z3,-Y3;0,1,0,-Z3,0,X3;0,0,1,Y3,-X3,0];
B4=[1,0,0,0,Z4,-Y4;0,1,0,-Z4,0,X4;0,0,1,Y4,-X4,0];
B5=[1,0,0,0,Z5,-Y5;0,1,0,-Z5,0,X5;0,0,1,Y5,-X5,0];
B6=[1,0,0,0,Z6,-Y6;0,1,0,-Z6,0,X6;0,0,1,Y6,-X6,0];
%%%此处将位移坐标转变成m
k1=[x(1),0,0;0,x(2),0;0,0,x(3)];
k2=[x(1),0,0;0,x(2),0;0,0,x(3)];
k3=[x(1),0,0;0,x(2),0;0,0,x(3)];
k4=[x(1),0,0;0,x(2),0;0,0,x(3)];
k5=[x(1),0,0;0,x(2),0;0,0,x(3)];
k6=[x(1),0,0;0,x(2),0;0,0,x(3)];
%%%%%%%%%%%---振动方程中的M,D和K---%%%%%%%%%%
M=[m,0,0,0,0,0;0,m,0,0,0,0;0,0,m,0,0,0;0,0,0,Jx,-Jxy,-Jzx;0,0,0,-Jxy,Jy,-Jyz;0,0,0,-Jzx,-Jyz,Jz];
% D=[1200,0,0,0,0,0;0,1600,0,0,0,0;0,0,2000,0,0,0;0,0,0,60,0,0;0,0,0,0,80,0;0,0,0,0,0,100];
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---%%%%%%%%%%%%%
[v,d]=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=[c(1);c(2);c(3);c(4);c(5);c(6);c(7);c(8);c(9);c(10);c(11);c(12)];
ceq=[];
%以下是求解M文件:
function f=goal_jieou_2()
clc
clear
x0=[3920000;2764000;970000];%刚度初值
lb=[2920000;1764000;0];
ub=[5820000;2865000;1070000];
options = optimset('LargeScale','off','Display','final','TolFun',1e-6,'TolCon',1e-4,'TolX',1e-8);
[x,fval,exitflag,output]=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: [1x144 char]
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! |