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CROSS-OPT-1.0/Main_Truss10_MassMin_FrequencyBounds_BoxPlot.m

@@ -6,7 +6,7 @@
 %               Americo Cunha Jr
 %
 %  Originally programmed in: Jun 25, 2024
-%           Last updated in: Aug 22, 2024
+%           Last updated in: Sep 15, 2024
 % -----------------------------------------------------------------
 %  Mass minimization with frequency constraints for a 10 bars
 %  truss structure. Box plot calculation for CE, GA and SQP.
@@ -65,8 +65,8 @@
 MyTruss.Ndofs      = 2*MyTruss.Nnodes;      % # of DoFs
 
 % objective and constraint functions
-fun     = @(x)TrussMass           (x,MyTruss);
-nonlcon = @(x)TrussFrequencyBounds(x,MyTruss);
+fun     = @(x)TrussMass10           (x,MyTruss);
+nonlcon = @(x)TrussFrequencyBounds10(x,MyTruss);
 
 % number of variables
 Nvars = 10;
@@ -80,7 +80,7 @@
 sigma0 = 5*(ub-lb);
 
 % number of box plot samples
-Nbp = 5;
+Nbp = 64;
 
 % boxplot for CE
 % ------------------------------------------------------------------
@@ -176,10 +176,10 @@
 % optional parameters
 opt = optimoptions('fmincon','Display','off','Algorithm','sqp');
 
-% random initial guess
-x0 = lb + (ub-lb).*rand(1,Nvars);
-
 while t < Nbp
+        % random initial guess
+        x0 = lb + (ub-lb).*rand(1,Nvars);
+
         % SPQ solver
         [Xopt,Fopt,ExitFlag,SQPstr] = fmincon(fun,x0,[],[],[],[],lb,ub,nonlcon,opt);
 
@@ -199,6 +199,21 @@
 % ------------------------------------------------------------------
 
 
+% save simulation results
+% -----------------------------------------------------------
+tic
+disp(' ')
+disp(' --- saving simulation results --- ');
+disp(' ');
+disp('    ... ');
+disp(' ');
+
+save('Truss10_MassMin_FrequencyBounds_BoxPlot.mat');
+
+toc
+% -----------------------------------------------------------
+
+
 % post processing
 % ------------------------------------------------------------------
 disp(' ')

CROSS-OPT-1.0/Main_Truss10_MassMin_FrequencyBounds_CE.m

@@ -64,8 +64,8 @@
 MyTruss.Ndofs      = 2*MyTruss.Nnodes;      % # of DoFs
 
 % objective and constraint functions
-fun     = @(x)TrussMass           (x,MyTruss);
-nonlcon = @(x)TrussFrequencyBounds(x,MyTruss);
+fun     = @(x)TrussMass10           (x,MyTruss);
+nonlcon = @(x)TrussFrequencyBounds10(x,MyTruss);
 
 % number of variables
 Nvars = 10;

CROSS-OPT-1.0/Main_Truss10_MassMin_FrequencyBounds_GA.m

@@ -64,8 +64,8 @@
 MyTruss.Ndofs      = 2*MyTruss.Nnodes;      % # of DoFs
 
 % objective and constraint functions
-fun     = @(x)TrussMass           (x,MyTruss);
-nonlcon = @(x)TrussFrequencyBounds(x,MyTruss);
+fun     = @(x)TrussMass10           (x,MyTruss);
+nonlcon = @(x)TrussFrequencyBounds10(x,MyTruss);
 
 % number of variables
 Nvars = 10;

CROSS-OPT-1.0/Main_Truss10_MassMin_FrequencyBounds_SQP.m

@@ -64,8 +64,8 @@
 MyTruss.Ndofs      = 2*MyTruss.Nnodes;      % # of DoFs
 
 % objective and constraint functions
-fun     = @(x)TrussMass           (x,MyTruss);
-nonlcon = @(x)TrussFrequencyBounds(x,MyTruss);
+fun     = @(x)TrussMass10           (x,MyTruss);
+nonlcon = @(x)TrussFrequencyBounds10(x,MyTruss);
 
 % number of variables
 Nvars = 10;

CROSS-OPT-1.0/Main_Truss10_MassMin_YieldStress_BoxPlot.m

@@ -73,7 +73,7 @@
 MyTruss.Ndofs      = 2*MyTruss.Nnodes;      % # of DoFs
 
 % objective and constraint functions
-fun     = @(x)TrussMass       (x,MyTruss);
+fun     = @(x)TrussMass10     (x,MyTruss);
 nonlcon = @(x)TrussYieldStress(x,MyTruss);
 
 % number of variables
@@ -88,7 +88,7 @@
 sigma0 = 5*(ub-lb);
 
 % number of box plot samples
-Nbp = 125;
+Nbp = 64;
 
 % boxplot for CE
 % ------------------------------------------------------------------
@@ -184,16 +184,16 @@
 % optional parameters
 opt = optimoptions('fmincon','Display','off','Algorithm','sqp');
 
-% random initial guess
-x0 = lb + (ub-lb).*rand(1,Nvars);
-
 while t < Nbp
+        % random initial guess
+        x0 = lb + (ub-lb).*rand(1,Nvars);
+
         % SPQ solver
         [Xopt,Fopt,ExitFlag,SQPstr] = fmincon(fun,x0,[],[],[],[],lb,ub,nonlcon,opt);
-
+        
         % update solver running counter
         Nrun_SQP = Nrun_SQP + 1;
-
+        
         % check constraint violation
         if max(nonlcon(Xopt)) <= opt.TolCon
                           t = t + 1;
@@ -207,6 +207,21 @@
 % ------------------------------------------------------------------
 
 
+% save simulation results
+% ------------------------------------------------------------------
+tic
+disp(' ')
+disp(' --- saving simulation results --- ');
+disp(' ');
+disp('    ... ');
+disp(' ');
+
+save('Truss10_MassMin_YieldStress_BoxPlot.mat');
+
+toc
+% ------------------------------------------------------------------
+
+
 % post processing
 % ------------------------------------------------------------------
 disp(' ')
@@ -218,7 +233,7 @@
 figure
 x = [Fopt_SQP Fopt_GA Fopt_CE];
 boxplot(x,'Notch','off','Labels',{'SQP','GA','CE'});
-ylabel('Truss Mass (kg)','FontSize',20,'FontName', 'Helvetica')
+ylabel('Truss   Mass (kg)','FontSize',20,'FontName', 'Helvetica')
 title("Number samples: " + Nbp, 'FontSize',20,'FontName', 'Helvetica')
 set(gca, 'FontName', 'Helvetica');
 set(gca, 'FontSize', 18);

CROSS-OPT-1.0/Main_Truss10_MassMin_YieldStress_CE.m

@@ -72,7 +72,7 @@
 MyTruss.Ndofs      = 2*MyTruss.Nnodes;      % # of DoFs
 
 % objective and constraint functions
-fun     = @(x)TrussMass       (x,MyTruss);
+fun     = @(x)TrussMass10     (x,MyTruss);
 nonlcon = @(x)TrussYieldStress(x,MyTruss);
 
 % number of variables

CROSS-OPT-1.0/Main_Truss10_MassMin_YieldStress_GA.m

@@ -72,7 +72,7 @@
 MyTruss.Ndofs      = 2*MyTruss.Nnodes;      % # of DoFs
 
 % objective and constraint functions
-fun     = @(x)TrussMass       (x,MyTruss);
+fun     = @(x)TrussMass10     (x,MyTruss);
 nonlcon = @(x)TrussYieldStress(x,MyTruss);
 
 % number of variables

CROSS-OPT-1.0/Main_Truss10_MassMin_YieldStress_SQP.m

@@ -72,7 +72,7 @@
 MyTruss.Ndofs      = 2*MyTruss.Nnodes;      % # of DoFs
 
 % objective and constraint functions
-fun     = @(x)TrussMass       (x,MyTruss);
+fun     = @(x)TrussMass10     (x,MyTruss);
 nonlcon = @(x)TrussYieldStress(x,MyTruss);
 
 % number of variables