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- 7440
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- 2024-10-5
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- function fmin=Mounting_System_OPT_Program(x)
- %在整车坐标系下解耦,悬置点坐标均是在整车坐标系下
- m= 97.82 ;
- m_x= 0.18 ; m_y= 0.10 ; m_z= 0.22 ;
- Jxx= 2.29 ;Jxy= 0.28 ;Jxz= -0.06 ;
- Jyx= 0.28 ;Jyy= 1.39 ;Jyz= -0.71 ;
- Jzx= -0.06 ;Jzy= -0.71 ;Jzz= 2.87 ;
- X_M1= 0.40 ;Y_M1= 0.04 ;Z_M1= 0.08 ;
- X_M2= 0.17 ;Y_M2= 0.39 ;Z_M2= 0.09 ;
- X_M3= -0.05 ;Y_M3= 0.02 ;Z_M3= -0.06 ;
- X_M4= NaN ;Y_M4= NaN ;Z_M4= NaN ;
- K_M1_X=x(1);K_M1_Y=x(2);K_M1_Z=x(3);
- K_M2_X=x(4);K_M2_Y=x(5);K_M2_Z=x(6);
- K_M3_X=x(7);K_M3_Y=x(8);K_M3_Z=x(9);
- K_M4_X= NaN ;K_M4_Y= NaN ;K_M4_Z= NaN ;
- ALFA_M1_u= 0.00 ;BETA_M1_u= 1.57 ;GAMA_M1_u= 1.57 ;
- ALFA_M1_v= 1.57 ;BETA_M1_v= 0.00 ;GAMA_M1_v= 1.57 ;
- ALFA_M1_w= 1.57 ;BETA_M1_w= 1.57 ;GAMA_M1_w= 0.00 ;
- ALFA_M2_u= 0.00 ;BETA_M2_u= 1.57 ;GAMA_M2_u= 1.57 ;
- ALFA_M2_v= 1.57 ;BETA_M2_v= 0.00 ;GAMA_M2_v= 1.57 ;
- ALFA_M2_w= 1.57 ;BETA_M2_w= 1.57 ;GAMA_M2_w= 0.00 ;
- ALFA_M3_u= 0.00 ;BETA_M3_u= 1.57 ;GAMA_M3_u= 1.57 ;
- ALFA_M3_v= 1.57 ;BETA_M3_v= 0.00 ;GAMA_M3_v= 1.57 ;
- ALFA_M3_w= 1.57 ;BETA_M3_w= 1.57 ;GAMA_M3_w= 0.00 ;
- ALFA_M4_u= 0.00 ;BETA_M4_u= 1.57 ;GAMA_M4_u= 1.57 ;
- ALFA_M4_v= 1.57 ;BETA_M4_v= 0.00 ;GAMA_M4_v= 1.57 ;
- ALFA_M4_w= 1.57 ;BETA_M4_w= 1.57 ;GAMA_M4_w= 0.00 ;
- %% 悬置系统模态计算主程序:
- %在整车坐标系下进行解耦计算
- %所有输入参数均是基于整车坐标系:1)质心位置 2)悬置点位置 3)动力总成惯量张量(需要考虑坐标系)
- %安装角矩阵Tj
- T_M1=[cos(ALFA_M1_u),cos(BETA_M1_u),cos(GAMA_M1_u);...
- cos(ALFA_M1_v),cos(BETA_M1_v),cos(GAMA_M1_v);...
- cos(ALFA_M1_w),cos(BETA_M1_w),cos(GAMA_M1_w)];
- T_M2=[cos(ALFA_M2_u),cos(BETA_M2_u),cos(GAMA_M2_u);...
- cos(ALFA_M2_v),cos(BETA_M2_v),cos(GAMA_M2_v);...
- cos(ALFA_M2_w),cos(BETA_M2_w),cos(GAMA_M2_w)];
- T_M3= [cos(ALFA_M3_u), cos(BETA_M3_u), cos(GAMA_M3_u);...
- cos(ALFA_M3_v), cos(BETA_M3_v), cos(GAMA_M3_v);...
- cos(ALFA_M3_w), cos(BETA_M3_w), cos(GAMA_M3_w)];
- T_M4= [cos(ALFA_M4_u), cos(BETA_M4_u), cos(GAMA_M4_u);...
- cos(ALFA_M4_v), cos(BETA_M4_v), cos(GAMA_M4_v);...
- cos(ALFA_M4_w), cos(BETA_M4_w), cos(GAMA_M4_w)];
- %参数输入完毕
- %%%%%%%%%%%====================%%%%%%%%%%
- %%%%%%%%%%%---能量表达式中的Fj和kj---%%%%%%%%%%
- % 刚体位移转换为 悬置的压缩量
- % 变化矩阵E
- %M1
- E_M1=[1, 0, 0, 0, (Z_M1-m_z), -(Y_M1-m_y);...
- 0, 1, 0, -(Z_M1-m_z), 0, (X_M1-m_x);...
- 0, 0, 1, (Y_M1-m_y), -(X_M1-m_x), 0];
- %M2
- E_M2=[1, 0, 0, 0, (Z_M2-m_z), -(Y_M2-m_y);...
- 0, 1, 0, -(Z_M2-m_z), 0, (X_M2-m_x);...
- 0, 0, 1, (Y_M2-m_y), -(X_M2-m_x), 0];
- %M3
- E_M3=[1, 0, 0, 0, (Z_M3-m_z), -(Y_M3-m_y);...
- 0, 1, 0, -(Z_M3-m_z), 0, (X_M3-m_x);...
- 0, 0, 1, (Y_M3-m_y), -(X_M3-m_x), 0];
- %M4
- E_M4=[1, 0, 0, 0, (Z_M4-m_z), -(Y_M4-m_y);...
- 0, 1, 0, -(Z_M4-m_z), 0, (X_M4-m_x);...
- 0, 0, 1, (Y_M4-m_y), -(X_M4-m_x), 0];
- %%%原 每个悬置的刚度矩阵
- k_M1=[K_M1_X,0,0;0,K_M1_Y,0;0,0,K_M1_Z];
- k_M2=[K_M2_X,0,0;0,K_M2_Y,0;0,0,K_M2_Z];
- k_M3=[K_M3_X,0,0;0,K_M3_Y,0;0,0,K_M3_Z];
- k_M4=[K_M4_X,0,0;0,K_M4_Y,0;0,0,K_M4_Z];
- %%%%%%%%%%%---振动方程中的M,D和K---%%%%%%%%%%
- % 质量矩阵
- M=[ m,0,0,0,0,0;...
- 0,m,0,0,0,0;...
- 0,0,m,0,0,0;...
- 0,0,0,Jxx,-Jxy,-Jxz;...
- 0,0,0,-Jyx,Jyy,-Jyz;...
- 0,0,0,-Jzx,-Jzy,Jzz];
- % 刚度矩阵;
- if isnan(K_M4_Z) || K_M4_Z==0
- K= E_M1'*T_M1'*k_M1*T_M1*E_M1+...
- E_M2'*T_M2'*k_M2*T_M2*E_M2+...
- E_M3'*T_M3'*k_M3*T_M3*E_M3;
- else
- K= E_M1'*T_M1'*k_M1*T_M1*E_M1+...
- E_M2'*T_M2'*k_M2*T_M2*E_M2+...
- E_M3'*T_M3'*k_M3*T_M3*E_M3+...
- E_M4'*T_M4'*k_M4*T_M4*E_M4;
- end
- %%%%%%%%%%%%%---下面计算系统固有特性---%%%%%%%%%%%%%
- [v_t,d_t]=eig(K,M);
- % 特征值 特征向量重新排序
- %按频率大小排序
- v=zeros(6,6);d=zeros(6,6);
- [~,ID]=sort(diag(d_t));
- for i=1:6
- d(i,i)=d_t(ID(i),ID(i));
- v(:,i)=v_t(:,ID(i));
- end
- %%%%%%%%%%%
- f=(sqrt(diag(d))/2/pi)';
- % 初始化能量变量
- ENERGY=zeros(6,6);EGEN=zeros(6,6);eper=zeros(1,6);
- for j=1:6 %第j阶固有频率振动
- for k=1:6 %第k个广义坐标
- for l=1:6
- ENERGY(k,l)=v(k,j)*M(k,l)*v(l,j);
- end
- end
- qq=sum(transpose(ENERGY));
- qqt=sum(qq);
- dig=qq/qqt;
- EGEN(:,j)=dig;
- ep1=max(dig);
- ep2=sum(dig);
- eper(j)=ep1/ep2*100;
- end
- EGEN=EGEN*100;
- %进行再次排序
- EGEN_S=zeros(6,6);
- f_S=zeros(1,6);
- %若出现两个分量均在某个方向上能量最大,则出现问题,需处理
- [~,d]=max(EGEN);
- issort_f=zeros(1,6);%保存是否排序,0代表未排序,1代表已排序
- for i=1:6
- [~,d]=sort(EGEN(:,i),'descend');%逐列选择最大值进行排序
- for j=1:6
- if~issort_f(d(j))
- f_S(1,d(j))=f(i);
- EGEN_S(:,d(j))=EGEN(:,i);
- issort_f(d(j))=1;
- break;
- end
- end
- end
- %上述排序为按能量排序,则f_S为排完序的模态频率
-
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
- % 频率间隔不设置权重因子
- f_Bounce_Roll_Seperation=2;
- f_Bounce=f_S(3);
- f_Roll=f_S(4);
- fmin_Bounce_Roll_Sep=0;
- f_Seperation=abs(f_Bounce-f_Roll);
- if f_Seperation<=f_Bounce_Roll_Seperation
- fmin_Bounce_Roll_Sep=10^(10*(1-f_Seperation/f_Bounce_Roll_Seperation));
- end
- % 模态频率间要求
- f_All_Seperation=1;
- f_sort=sort(f_S);%频率排序
- % 依次整理并增加惩罚因子,10%--10倍,20%对应100倍
- fmin_Seperation=0;
- for i=1:5
- if abs(f_sort(i)-f_sort(i+1))<1
- fmin_Sep_tmp=10^(10*(1-abs(f_sort(i)-f_sort(i+1))/f_All_Seperation));
- fmin_Seperation=fmin_Seperation+fmin_Sep_tmp;
- end
- end
- %定义目标函数,fmin_str(ij),i为两种约束函数,j为约束变量,如roll
- fmin=0;
- fmin_str11=-1*sign(EGEN_S(1,1)-80)*(abs(EGEN_S(1,1)-80))*0.1*1/100;
- if f_S(1)<=20 && f_S(1)>=5
- fmin_str21=0;
- elseif f_S(1)>=20;
- fmin_str21=abs(f_S(1)-20)*0.1;
- elseif f_S(1)<=5;
- fmin_str21=abs( f_S(1)-5)*0.1;
- end
- fmin_1=fmin_str11+fmin_str21;
- fmin=fmin+fmin_1;
- fmin_str12=-1*sign(EGEN_S(2,2)-80)*(abs(EGEN_S(2,2)-80))*0.1*1/100;
- if f_S(2)<=15 && f_S(2)>=5
- fmin_str22=0;
- elseif f_S(2)>=15;
- fmin_str22=abs(f_S(2)-15)*0.1;
- elseif f_S(2)<=5;
- fmin_str22=abs( f_S(2)-5)*0.1;
- end
- fmin_2=fmin_str12+fmin_str22;
- fmin=fmin+fmin_2;
- fmin_str13=-1*sign(EGEN_S(3,3)-90)*(abs(EGEN_S(3,3)-90))*0.8*1/100;
- if f_S(3)<=20 && f_S(3)>=8
- fmin_str23=0;
- elseif f_S(3)>=20;
- fmin_str23=abs(f_S(3)-20)*1000;
- elseif f_S(3)<=8;
- fmin_str23=abs( f_S(3)-8)*1000;
- end
- fmin_3=fmin_str13+fmin_str23;
- fmin=fmin+fmin_3;
- fmin_str14=-1*sign(EGEN_S(4,4)-80)*(abs(EGEN_S(4,4)-80))*0.8*1/100;
- if f_S(4)<=50 && f_S(4)>=30
- fmin_str24=0;
- elseif f_S(4)>=50;
- fmin_str24=abs(f_S(4)-50)*0.1;
- elseif f_S(4)<=30;
- fmin_str24=abs( f_S(4)-30)*0.1;
- end
- fmin_4=fmin_str14+fmin_str24;
- fmin=fmin+fmin_4;
- fmin_str15=-1*sign(EGEN_S(5,5)-85)*(abs(EGEN_S(5,5)-85))*1*1/100;
- if f_S(5)<=70 && f_S(5)>=30
- fmin_str25=0;
- elseif f_S(5)>=70;
- fmin_str25=abs(f_S(5)-70)*10;
- elseif f_S(5)<=30;
- fmin_str25=abs( f_S(5)-30)*10;
- end
- fmin_5=fmin_str15+fmin_str25;
- fmin=fmin+fmin_5;
- fmin_str16=-1*sign(EGEN_S(6,6)-80)*(abs(EGEN_S(6,6)-80))*0.1*1/100;
- if f_S(6)<=50 && f_S(6)>=30
- fmin_str26=0;
- elseif f_S(6)>=50;
- fmin_str26=abs(f_S(6)-50)*0.1;
- elseif f_S(6)<=30;
- fmin_str26=abs( f_S(6)-30)*0.1;
- end
- fmin_6=fmin_str16+fmin_str26;
- fmin=fmin+fmin_6;
- end
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