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I do the optimization code but the graph of optimiazation didnt show up , I want to know what is wrong in my code ?

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Doha Ali
Doha Ali il 23 Mag 2023
Commentato: Torsten il 23 Mag 2023
Ran in:
clear;clc;
global Kx Ky Kz m Cx Cy Cz Kxt Kyt Kzt mt Cxt Cyt Czt xg L1x L2x L1y L2y L1z L2z j Beta
wx=2*pi/1.11;
wy=wx;
wz=wx*100;
m=100;
mt=5/100;
Kx=m*wx^2;
Ky=m*wy^2;
Kz=m*wz^2;
Cx=2*0.05*m*wx;
Cy=2*0.05*m*wy;
Cz=2*0.05*m*wz;
sigmax=0.01;
sigmay=0.001;
wxt=4.1/2;
wxt=wx;
wyt=wxt;
wzt=2.9*wxt+sigmay;
%wzt=32^0.5*wxt;
%wxt=3;
%wyt=wxt;
%wyt=4.5;
%mt=0.6;
whar=wxt;
%whar=wyt;
Kxt=mt*wxt^2;
%Kxt=21.6;
%Kyt=21.6/4*2.25;
Kyt=mt*wyt^2;
Kzt=mt*wzt^2;
L1x=0.17;
L2x=0.375-L1x;
L1y=0.17;
L2y=0.375-L1x;
L1z=0.215;
L2z=mt*9.81/Kzt;
%L2z=0.001;
L2=0.01;
L1=1.0;
%wxt=6;
%Lx=1.;
%Lz=1. -mt*9.81/Kyt;
Beta=0.0;
%mt is for TMD
Kisay=0.05;
%Kisay=0.020;
%mt is for TMD
Cxt=2*0.023*(Kxt/mt)^0.5*mt; Cyt=2*0.023*(Kyt/mt)^0.5*mt;Czt=2*0.018*(Kzt/mt)^0.5*mt;
w=1.39;
%--------------------------------------------------------------------------
A=2.1*0.2;
dt=.02;tf=30.;t=0:dt:tf;n=tf/dt;%tsp=time step; tf=final time;
%load('CHICHI0968.mat');%CHICHI0968.mat-max of elcentro=0.3487
%ug=9.81*CHICHI0968(2,1:n+1);%%ELCENTRO_NS0348;A*(wx*w)^2*sin(wx*w*t);
ug=A*sin(wxt*w*t);
xg=ug;
%--------------------------------------------------------------------------
x0N=[0.014 0 0 0 0 0 0 0 0 0 0 0];x0L=x0N;xjN(1,:)=x0N;xjL(1,:)=x0L;
for j=1:n
%for j=1:3500
tint=dt*[j-1 j];%tint=time interval
[tN,xN] = ode45(@nonlinearmodel_structure,tint,x0N);
xjN(j+1,:)=xN(length(tN),:);
x0N=xN(length(tN),:);
%[tL,xL] = ode45(@linearmodel,tint,x0L);
%xjL(j+1,:)=xL(length(tL),:);
%x0L=xL(length(tL),:);
%j
end
%--------------------------------------------------------------------------
ux1=[xjN(:,1)];ux2=[xjN(:,2)];ux3=[xjN(:,3)];
save('Nolin.txt','xjN','-ASCII');
%ux1=[xjL(:,1)];ux2=[xjL(:,2)];
%uy1=[xjN(:,3) xjL(:,3)];uy2=[xjN(:,4) xjL(:,4)];
subplot(3, 1, 1)
plot(t, xg(1, :), 'k--', 'LineWidth', 1.5); hold on;
axis([0, 3, -1.2*max(max(xg(1, :))), 1.2*max(max(xg(1, :)))])
xlabel('Time (s)');
ylabel('Displacement (m)');
title("X direction plots non-linear model")
legend('Ground motion', 'Nonlinear model');
Warning: Ignoring extra legend entries.
grid on;
hold off
subplot(3, 1, 2)
plot(t, xg(1, :), 'k--', 'LineWidth', 1.5); hold on;
axis([0, 3, -1.2*max(max(xg(1, :))), 1.2*max(max(xg(1, :)))])
xlabel('Time (s)');
ylabel('Displacement (m)');
title("X direction plots linear model")
%--------------------------------------------------------------------------
% Define optimization problem
fun = @(A) cost_function(A, wx, w, t, xg(1, :), xjN, xjL, Beta);
x0 = 0.03;
lb = 0.01;
ub = 0.1;
options = optimoptions(@fmincon,'Algorithm','sqp','MaxIterations',1500);;
% Display results
fprintf('Optimal value of A: %f\n', Aoptxy);
Unrecognized function or variable 'Aoptxy'.
fprintf('Minimum cost: %f\n', costxy);
Z optimization
% Define optimization problem
fun = @(A) cost_function(A, wz, 2*w, t, xg(3, :), xjN, xjL, Beta);
x0 = 0.03;
lb = 0.01;
ub = 0.1;
options = optimoptions(@fmincon,'Algorithm','sqp','MaxIterations',1500);
% Solve optimization problem
[Aoptz, costz] = ga(fun, 1, [], [], [], [], lb, ub, [], options);
% Display results
fprintf('Optimal value of A: %f\n', Aoptz);
fprintf('Minimum cost: %f\n', costz);
X direction
% Plot results
figure;
grid on;
subplot(3, 1, 1)
plot(t, xg(1, :), 'k--', 'LineWidth', 1.5); hold on;
plot(t, xjN(1:1201,1), 'b-', 'LineWidth', 1.5); hold on;
axis([0, 3, -1.2*max(max(xg(1, :))), 1.2*max(max(xg(1, :)))])
xlabel('Time (s)');
ylabel('Displacement (m)');
title("X direction plots non-linear model")
legend('Ground motion', 'Nonlinear model');
grid on;
hold off
subplot(3, 1, 2)
plot(t, xg(1, :), 'k--', 'LineWidth', 1.5); hold on;
plot(t, xjL(1:1201,1), 'r-', 'LineWidth', 1.5);
axis([0, 3, -1.2*max(max(xg(1, :))), 1.2*max(max(xg(1, :)))])
xlabel('Time (s)');
ylabel('Displacement (m)');
title("X direction plots linear model")
legend('Ground motion', 'linear model');
grid on;
hold off
subplot(3, 1, 3)
plot(t, xg(1, :), 'k--', 'LineWidth', 1.5); hold on;
plot(t,0.5*Aoptxy*(wx)^2*sin(wx*w*t), 'g-', 'LineWidth', 1.5);
axis([0, 3, -2*max(max(xg(1, :))), 2*max(max(xg(1, :)))])
xlabel('Time (s)');
ylabel('Displacement (m)');
title("X direction plots Optimized model")
legend('Ground motion', 'Optimized model');
grid on;
hold off
Y direction
% Plot results
figure;
grid on;
subplot(3, 1, 1)
plot(t, xg(2, :), 'k--', 'LineWidth', 1.5); hold on;
plot(t, xjN(1:1201,2), 'b-', 'LineWidth', 1.5); hold on;
axis([0, 3, -1.2*max(max(xg(1, :))), 1.2*max(max(xg(1, :)))])
xlabel('Time (s)');
ylabel('Displacement (m)');
title("Y direction plots non-linear model")
legend('Ground motion', 'Nonlinear model');
grid on;
hold off
subplot(3, 1, 2)
plot(t, xg(2, :), 'k--', 'LineWidth', 1.5); hold on;
plot(t, xjL(1:1201,2), 'r-', 'LineWidth', 1.5);
axis([0, 3, -1.2*max(max(xg(1, :))), 1.2*max(max(xg(1, :)))])
xlabel('Time (s)');
ylabel('Displacement (m)');
title("Y direction plots linear model")
legend('Ground motion', 'linear model');
grid on;
hold off
subplot(3, 1, 3)
plot(t, xg(2, :), 'k--', 'LineWidth', 1.5); hold on;
plot(t,0.5*Aoptxy*(wx)^2*sin(wx*w*t), 'g-', 'LineWidth', 1.5);
axis([0, 3, -2*max(max(xg(1, :))), 2*max(max(xg(1, :)))])
xlabel('Time (s)');
ylabel('Displacement (m)');
title("Y direction plots Optimized model")
legend('Ground motion', 'Optimized model');
grid on;
hold off
Z direction
% Plot results
figure;
grid on;
subplot(3, 1, 1)
plot(t, xg(3, :), 'k--', 'LineWidth', 1.5); hold on;
plot(t, xjN(1:1201,3), 'b-', 'LineWidth', 1.5); hold on;
axis([0, 3, -1.2*max(max(xg(3, :))), 1.2*max(max(xg(3, :)))])
xlabel('Time (s)');
ylabel('Displacement (m)');
title("Z direction plots non-linear model")
legend('Ground motion', 'Nonlinear model');
grid on;
hold off
subplot(3, 1, 2)
plot(t, xg(3, :), 'k--', 'LineWidth', 1.5); hold on;
plot(t, xjL(1:1201,3), 'r-', 'LineWidth', 1.5);
axis([0, 3, -1.2*max(max(xg(3, :))), 1.2*max(max(xg(3, :)))])
xlabel('Time (s)');
ylabel('Displacement (m)');
title("Z direction plots linear model")
legend('Ground motion', 'linear model');
grid on;
hold off
subplot(3, 1, 3)
plot(t, xg(3, :), 'k--', 'LineWidth', 1.5); hold on;
plot(t,0.5*Aoptz*(wx)^2*sin(wx*2*w*t), 'g-', 'LineWidth', 1.5);
axis([0, 3, -2*max(max(xg(3, :))), 2*max(max(xg(3, :)))])
xlabel('Time (s)');
ylabel('Displacement (m)');
title("Z direction plots Optimized model")
legend('Ground motion', 'Optimized model');
grid on;
hold off
% Define function for cost function
cost_function
function [cost] = cost_function(A, wx, w, t, xg, xjN, xjL, Beta)
global m Kx Ky Kxt Kyt Cx Cy Cxt Cyt Lx Ly j
% Calculate optimized displacement
ug = A*(wx)^2*sin(wx*w*t);
xg = ug;
x0N = xjN(1,:);
x0L = xjL(1,:);
xjN_opt = zeros(size(xjN));
xjL_opt = zeros(size(xjL));
for j=1:length(t)
tint = t(j) + [0 1];
[~,xN] = ode15s(@nonlinearmodel, tint, x0N);
xjN_opt(j,:) = xN(end,:);
xN = zscore(xN);
x0N = xN(end,:);
[~,xL] = ode15s(@linearmodel, tint, x0L);
xL = zscore(xL);
xjL_opt(j,:) = xL(end,:);
x0L = xL(end,:);
end
% Calculate cost
cost = norm(xg - xjN_opt(1:1201,1)') + norm(xg - xjL_opt(1:1201,1)');
end
function dx=nonlinearmodel_structure(t,x)
global Kx Ky Kz m Cx Cy Cz Kxt Kyt Kzt mt Cxt Cyt Czt xg L1x L2x L1y L2y L1z L2z j Beta
dx = zeros(12,1);
dx(1)=x(7);
dx(2)=x(8);
dx(3)=x(9);
dx(4)=x(10);
dx(5)=x(11);
dx(6)=x(12);
%dx(1)=x(4);
%dx(2)=x(5);
%dx(3)=x(6);
%Vatar_x=((Lx+xx)^2+yy^2)^0.5;
% Vatar_y=((yy+mt*9.81/Kyt+Ly)^2+xx^2)^0.5;
dx(7)=1/m*(-Cx*x(7)-Kx*x(1)+...
-(-Cxt*(x(10)-x(7))...
-Kxt/2*( (x(4)-x(1))+L2x+(x(6)-x(3))^2*0.5*L1x/(L1x+L2x)^2+(x(5)-x(2))^2*0.5*L1x/(L1x+L2x)^2-(x(4)-x(1))*(x(6)-x(3))^2*L1x/(L1x+L2x)^3-(x(4)-x(1))*(x(5)-x(2))^2*L1x/(L1x+L2x)^3)...
+Kxt/2*(-(x(4)-x(1))+L2x+(x(6)-x(3))^2*0.5*L1x/(L1x+L2x)^2+(x(5)-x(2))^2*0.5*L1x/(L1x+L2x)^2+(x(4)-x(1))*(x(6)-x(3))^2*L1x/(L1x+L2x)^3+(x(4)-x(1))*(x(5)-x(2))^2*L1x/(L1x+L2x)^3)...
-Kyt/2*((x(4)-x(1))* (x(5)-x(2)) *L1y/(L1y+L2y)^2+(x(4)-x(1))*L2y/(L1y+L2y)+0.5*(x(4)-x(1))*(x(6)-x(3))^2*L1y/(L1y+L2y)^3- (x(4)-x(1)) *(x(5)-x(2))^2*L1y/(L1y+L2y)^3+0.5*(x(4)-x(1))^3*L1y/(L1y+L2y)^3)...
-Kyt/2*((x(4)-x(1))*(-(x(5)-x(2)))*L1y/(L1y+L2y)^2+(x(4)-x(1))*L2y/(L1y+L2y)+0.5*(x(4)-x(1))*(x(6)-x(3))^2*L1y/(L1y+L2y)^3-(x(4)-x(1))*(-(x(5)-x(2)))^2*L1y/(L1y+L2y)^3+0.5*(x(4)-x(1))^3*L1y/(L1y+L2y)^3)...
-Kzt*((x(4)-x(1))*(x(6)-x(3))*L1z/(L1z+L2z)^2+(x(4)-x(1))*L2z/(L1z+L2z)+0.5*(x(4)-x(1))*(x(5)-x(2))^2*L1z/(L1z+L2z)^3-(x(4)-x(1))*(x(6)-x(3))^2*L1z/(L1z+L2z)^3+0.5*(x(4)-x(1))^3*L1z/(L1z+L2z)^3)))...
-xg(j)*cos(Beta);
dx(8)=1/m*(-Cy*x(8)-Ky*x(2)+...
-(-Cyt*(x(11)-x(8))...
-Kyt/2*( (x(5)-x(2))+L2y+(x(6)-x(3))^2*0.5*L1y/(L1y+L2y)^2+(x(4)-x(1))^2*0.5*L1y/(L1y+L2y)^2-(x(5)-x(2))*(x(6)-x(3))^2*L1y/(L1y+L2y)^3-(x(5)-x(2))*(x(4)-x(1))^2*L1y/(L1y+L2y)^3)...
+Kyt/2*(-(x(5)-x(2))+L2y+(x(6)-x(3))^2*0.5*L1y/(L1y+L2y)^2+(x(4)-x(1))^2*0.5*L1y/(L1y+L2y)^2+(x(5)-x(2))*(x(6)-x(3))^2*L1y/(L1y+L2y)^3+(x(5)-x(2))*(x(4)-x(1))^2*L1y/(L1y+L2y)^3)...
-Kxt/2*((x(5)-x(2))* (x(4)-x(1))*L1x/(L1x+L2x)^2+(x(5)-x(2))*L2x/(L1x+L2x)+0.5*(x(5)-x(2))*(x(6)-x(3))^2*L1x/(L1x+L2x)^3-(x(5)-x(2))* (x(4)-x(1))^2*L1x/(L1x+L2x)^3+0.5*(x(5)-x(2))^3*L1x/(L1x+L2x)^3)...
-Kxt/2*((x(5)-x(2))*(-(x(4)-x(1)))*L1x/(L1x+L2x)^2+(x(5)-x(2))*L2x/(L1x+L2x)+0.5*(x(5)-x(2))*(x(6)-x(3))^2*L1x/(L1x+L2x)^3-(x(5)-x(2))*(-(x(4)-x(1)))^2*L1x/(L1x+L2x)^3+0.5*(x(5)-x(2))^3*L1x/(L1x+L2x)^3)...
-Kzt*((x(5)-x(2))*(x(6)-x(3))*L1z/(L1z+L2z)^2+(x(5)-x(2))*L2z/(L1z+L2z)+0.5*(x(5)-x(2))*(x(4)-x(1))^2*L1z/(L1z+L2z)^3-(x(5)-x(2))*(x(6)-x(3))^2*L1z/(L1z+L2z)^3+0.5*(x(5)-x(2))^3*L1z/(L1z+L2z)^3)))...
-xg(j)*sin(Beta);
dx(9)=1/m*(-Cz*x(9)-Kz*x(3)+...
-(-Czt*(x(12)-x(9))...
-Kzt*((x(6)-x(3))+L2z+(x(4)-x(1))^2*0.5*L1z/(L1z+L2z)^2+(x(5)-x(2))^2*0.5*L1z/(L1z+L2z)^2-(x(6)-x(3))*(x(4)-x(1))^2*L1z/(L1z+L2z)^3-(x(6)-x(3))*(x(5)-x(2))^2*L1z/(L1z+L2z)^3)...
-Kyt/2*((x(6)-x(3))* (x(5)-x(2))*L1y/(L1y+L2y)^2+(x(6)-x(3))*L2y/(L1y+L2y)+0.5*(x(6)-x(3))*(x(4)-x(1))^2*L1y/(L1y+L2y)^3-(x(6)-x(3))* (x(5)-x(2))^2*L1y/(L1y+L2y)^3+0.5*(x(6)-x(3))^3*L1y/(L1y+L2y)^3)...
-Kyt/2*((x(6)-x(3))*(-(x(5)-x(2)))*L1y/(L1y+L2y)^2+(x(6)-x(3))*L2y/(L1y+L2y)+0.5*(x(6)-x(3))*(x(4)-x(1))^2*L1y/(L1y+L2y)^3-(x(6)-x(3))*(-(x(5)-x(2)))^2*L1y/(L1y+L2y)^3+0.5*(x(6)-x(3))^3*L1y/(L1y+L2y)^3)...
-Kxt/2*((x(6)-x(3))* (x(4)-x(1))*L1x/(L1x+L2x)^2+(x(6)-x(3))*L2x/(L1x+L2x)+0.5*(x(6)-x(3))*(x(5)-x(2))^2*L1x/(L1x+L2x)^3-(x(6)-x(3)) *(x(4)-x(1))^2*L1x/(L1x+L2x)^3+0.5*(x(6)-x(3))^3*L1x/(L1x+L2x)^3)...
-Kxt/2*((x(6)-x(3))*(-(x(4)-x(1)))*L1x/(L1x+L2x)^2+(x(6)-x(3))*L2x/(L1x+L2x)+0.5*(x(6)-x(3))*(x(5)-x(2))^2*L1x/(L1x+L2x)^3-(x(6)-x(3))*(-(x(4)-x(1)))^2*L1x/(L1x+L2x)^3+0.5*(x(6)-x(3))^3*L1x/(L1x+L2x)^3)))...
-xg(j)*sin(Beta)*0.+mt/mt*9.81;
dx(10)=1/mt*(-Cxt*(x(10)-x(7))...
-Kxt/2*( (x(4)-x(1))+L2x+(x(6)-x(3))^2*0.5*L1x/(L1x+L2x)^2+(x(5)-x(2))^2*0.5*L1x/(L1x+L2x)^2-(x(4)-x(1))*(x(6)-x(3))^2*L1x/(L1x+L2x)^3-(x(4)-x(1))*(x(5)-x(2))^2*L1x/(L1x+L2x)^3)...
+Kxt/2*(-(x(4)-x(1))+L2x+(x(6)-x(3))^2*0.5*L1x/(L1x+L2x)^2+(x(5)-x(2))^2*0.5*L1x/(L1x+L2x)^2+(x(4)-x(1))*(x(6)-x(3))^2*L1x/(L1x+L2x)^3+(x(4)-x(1))*(x(5)-x(2))^2*L1x/(L1x+L2x)^3)...
-Kyt/2*((x(4)-x(1))* (x(5)-x(2)) *L1y/(L1y+L2y)^2+(x(4)-x(1))*L2y/(L1y+L2y)+0.5*(x(4)-x(1))*(x(6)-x(3))^2*L1y/(L1y+L2y)^3- (x(4)-x(1)) *(x(5)-x(2))^2*L1y/(L1y+L2y)^3+0.5*(x(4)-x(1))^3*L1y/(L1y+L2y)^3)...
-Kyt/2*((x(4)-x(1))*(-(x(5)-x(2)))*L1y/(L1y+L2y)^2+(x(4)-x(1))*L2y/(L1y+L2y)+0.5*(x(4)-x(1))*(x(6)-x(3))^2*L1y/(L1y+L2y)^3-(x(4)-x(1))*(-(x(5)-x(2)))^2*L1y/(L1y+L2y)^3+0.5*(x(4)-x(1))^3*L1y/(L1y+L2y)^3)...
-Kzt*((x(4)-x(1))*(x(6)-x(3))*L1z/(L1z+L2z)^2+(x(4)-x(1))*L2z/(L1z+L2z)+0.5*(x(4)-x(1))*(x(5)-x(2))^2*L1z/(L1z+L2z)^3-(x(4)-x(1))*(x(6)-x(3))^2*L1z/(L1z+L2z)^3+0.5*(x(4)-x(1))^3*L1z/(L1z+L2z)^3))...
-xg(j)*cos(Beta);
dx(11)=1/mt*(-Cyt*(x(11)-x(8))...
-Kyt/2*( (x(5)-x(2))+L2y+(x(6)-x(3))^2*0.5*L1y/(L1y+L2y)^2+(x(4)-x(1))^2*0.5*L1y/(L1y+L2y)^2-(x(5)-x(2))*(x(6)-x(3))^2*L1y/(L1y+L2y)^3-(x(5)-x(2))*(x(4)-x(1))^2*L1y/(L1y+L2y)^3)...
+Kyt/2*(-(x(5)-x(2))+L2y+(x(6)-x(3))^2*0.5*L1y/(L1y+L2y)^2+(x(4)-x(1))^2*0.5*L1y/(L1y+L2y)^2+(x(5)-x(2))*(x(6)-x(3))^2*L1y/(L1y+L2y)^3+(x(5)-x(2))*(x(4)-x(1))^2*L1y/(L1y+L2y)^3)...
-Kxt/2*((x(5)-x(2))* (x(4)-x(1))*L1x/(L1x+L2x)^2+(x(5)-x(2))*L2x/(L1x+L2x)+0.5*(x(5)-x(2))*(x(6)-x(3))^2*L1x/(L1x+L2x)^3-(x(5)-x(2))* (x(4)-x(1))^2*L1x/(L1x+L2x)^3+0.5*(x(5)-x(2))^3*L1x/(L1x+L2x)^3)...
-Kxt/2*((x(5)-x(2))*(-(x(4)-x(1)))*L1x/(L1x+L2x)^2+(x(5)-x(2))*L2x/(L1x+L2x)+0.5*(x(5)-x(2))*(x(6)-x(3))^2*L1x/(L1x+L2x)^3-(x(5)-x(2))*(-(x(4)-x(1)))^2*L1x/(L1x+L2x)^3+0.5*(x(5)-x(2))^3*L1x/(L1x+L2x)^3)...
-Kzt*((x(5)-x(2))*(x(6)-x(3))*L1z/(L1z+L2z)^2+(x(5)-x(2))*L2z/(L1z+L2z)+0.5*(x(5)-x(2))*(x(4)-x(1))^2*L1z/(L1z+L2z)^3-(x(5)-x(2))*(x(6)-x(3))^2*L1z/(L1z+L2z)^3+0.5*(x(5)-x(2))^3*L1z/(L1z+L2z)^3))...
-xg(j)*sin(Beta);
dx(12)=1/mt*(-Czt*(x(12)-x(9))...
-Kzt*((x(6)-x(3))+L2z+(x(4)-x(1))^2*0.5*L1z/(L1z+L2z)^2+(x(5)-x(2))^2*0.5*L1z/(L1z+L2z)^2-(x(6)-x(3))*(x(4)-x(1))^2*L1z/(L1z+L2z)^3-(x(6)-x(3))*(x(5)-x(2))^2*L1z/(L1z+L2z)^3)...
-Kyt/2*((x(6)-x(3))* (x(5)-x(2))*L1y/(L1y+L2y)^2+(x(6)-x(3))*L2y/(L1y+L2y)+0.5*(x(6)-x(3))*(x(4)-x(1))^2*L1y/(L1y+L2y)^3-(x(6)-x(3))* (x(5)-x(2))^2*L1y/(L1y+L2y)^3+0.5*(x(6)-x(3))^3*L1y/(L1y+L2y)^3)...
-Kyt/2*((x(6)-x(3))*(-(x(5)-x(2)))*L1y/(L1y+L2y)^2+(x(6)-x(3))*L2y/(L1y+L2y)+0.5*(x(6)-x(3))*(x(4)-x(1))^2*L1y/(L1y+L2y)^3-(x(6)-x(3))*(-(x(5)-x(2)))^2*L1y/(L1y+L2y)^3+0.5*(x(6)-x(3))^3*L1y/(L1y+L2y)^3)...
-Kxt/2*((x(6)-x(3))* (x(4)-x(1))*L1x/(L1x+L2x)^2+(x(6)-x(3))*L2x/(L1x+L2x)+0.5*(x(6)-x(3))*(x(5)-x(2))^2*L1x/(L1x+L2x)^3-(x(6)-x(3)) *(x(4)-x(1))^2*L1x/(L1x+L2x)^3+0.5*(x(6)-x(3))^3*L1x/(L1x+L2x)^3)...
-Kxt/2*((x(6)-x(3))*(-(x(4)-x(1)))*L1x/(L1x+L2x)^2+(x(6)-x(3))*L2x/(L1x+L2x)+0.5*(x(6)-x(3))*(x(5)-x(2))^2*L1x/(L1x+L2x)^3-(x(6)-x(3))*(-(x(4)-x(1)))^2*L1x/(L1x+L2x)^3+0.5*(x(6)-x(3))^3*L1x/(L1x+L2x)^3))...
-xg(j)*sin(Beta)*0.+mt/mt*9.81;
end

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