Pushover analysis force analogy method with force control based on timoshenko beam theory in c programming

>> IN THE NAME OF GOD <
Pushover Analysis Force Analogy Method with Force Control Based on Timoshenko Beam Theory in C programming
C program is written by Salar Delavar Ghashghaei – Publication Date: 22/October/2018
E-mail: salar.d.ghashghaei@gmail.com

C Code:
#include <stdio.h>
#include <windows.h> // text color
#include <conio.h>
#define NN 6 // Degree of freedom
#define Ne 1 // number of element
#define N 2 // number of node
#define STEP 10000 // number of node
#define ShowText01 "PushoverForceAnalogyMethodTimoshenkoFC-inputDATA.csv"
#define ShowText02 "PushoverForceAnalogyMethodTimoshenkoFC-inputCOORDINATE.csv"
#define ShowText03 "PushoverForceAnalogyMethodTimoshenkoFC-inputHINGE.csv"
#define ShowText04 "Output data is written in Excel and Html file"
#define ShowText05 "PushoverForceAnalogyMethodTimoshenkoFC-outputEXCEL.csv"
#define ShowText06 "PushoverForceAnalogyMethodTimoshenkoFC-outputHTML.html"
#define ShowText07 "Graph-outputHTML.html"
void IMPORT_DATA01(double &Iner,double &Area,double &As,double &Elas,double &Ny,double &Fini,int &M);
void IMPORT_DATA02(double x[],double y[],int &n);
void IMPORT_DATA03(double TET[],double MOM[],double TEO[],double SHE[],int &k);
void Matrix_Zero(double A[][NN],int n);
void Matrix_Stiffness(double Iner,double Area,double As,double Elas,double Ny,double L[],double lanX[],double lanY[],double A[],double B[],double C[],double D[],double E[],double K[][6],double K_G[][6],int I,int II);
void MatrixDetermination(double A[][NN],int n,double &Product);
void MatrixInverse(double [][NN], double [][NN],int );
void MatrixMulti01(double [][NN], double [], double [],int );
void Matrix_Transpose(double A[6][6],double B[6][6]);
void Matrix_Multiplication(double A[6][6],double B[6][6],double C[6][6]);
void ElementInternalForce(double K[][6],double U[],double lanX[],double lanY[],double ee[][6],int I,int II);// Calculate internal element force
void ELEMNT_FORCE_OUTPUT(double eleF[1][6],double ELE_FORCE[6][STEP],int n);
double ABS(double);
double MIN(double A[],int n);
double SQRT2(double D);
void MessageInitialData(double Iner,double Area,double As,double Elas,double Ny,double Fini,int M,double x[],double y[]);
void MessageAnalysisReport();
void MessageErrorReportTEXT();
void MessageInputDataTEXT();
void MessageCheck_IMPORT_DATA01(double Iner,double Area,double As,double Elas,double Ny,int M);
void MessageCheck_IMPORT_DATA03(double TET[],double MOM[],double TEO[],double SHE[],int n);
void MessageCheckMk(int M,int K);
void MessageStrCoorTEXT(double X[],double Y[],int n);
void MessagePlasticHingeTEXT(double TET01[],double MOM01[],double TET02[],double MOM02[],int n);
void MessageResult(double output_base01[],double output_base02[],double output_u01[],double output_u02[],double output_u03[],int n);
void OUTPUT_excel(double output_u01[],double output_u02[],double output_u03[],double output_base01[],double output_base02[],double C[6][STEP],int n);
void OUTPUT_html(double Iner,double Area,double As,double Elas,double Ny,double Fini,double x[],double y[],double TET[],double MOM[],double TEO[],double SHE[],double output_u01[],double output_u02[],double output_u03[],double output_base01[],double output_base02[],double C[6][STEP],int n,int m,int M);
void ANALYSIS(double TET01[],double MOM01[],double TET02[],double MOM02[],int np,double Iner,double Area,double As,double Elas,double Ny,double Fini,double x[],double y[],int M);
void Distance(int);
void textcolor(int ForgC);
void DATE_TIME();
void OUTPUT_HTML_GRAPH(double X[],double Y[],int n,const char text1[],const char text2[],const char text3[]);
double MAX_ABS(double A[],int n);
void PlasticHingeStiffnessCOFF(double A[],double B[],double C[],int n);
void PlasticHingeStiffness(double A[1][6],int I,int II,double B[],double C[],double &MomS,double &KRK,int n);
int main(){
double Elas,Iner,Area,As,Ny,Fini,Dmax,x[2],y[2],TET[10],MOM[10],TEO[10],SHE[10];
int n,np,m,M;
IMPORT_DATA01(Iner,Area,As,Elas,Ny,Fini,M);
IMPORT_DATA02(x,y,n);
IMPORT_DATA03(TET,MOM,TEO,SHE,np);
MessageCheck_IMPORT_DATA01(Iner,Area,As,Elas,Ny,M);
MessageCheck_IMPORT_DATA03(TET,MOM,TEO,SHE,np);
MessageCheckMk(M,np);
textcolor(14);
MessageInitialData(Iner,Area,As,Elas,Ny,Fini,M,x,y);
MessageStrCoorTEXT(x,y,n);
MessagePlasticHingeTEXT(TET,MOM,TEO,SHE,np);
textcolor(11);
MessageAnalysisReport();
ANALYSIS(TET,MOM,TEO,SHE,np,Iner,Area,As,Elas,Ny,Fini,x,y,M);
getch();
return 0;
}
void MatrixInverse(double A[][NN], double C[][NN],int n){
int i,j,l;
double c_A[n][n],B[n][n],m,Sum;
for (i=0;i<n;i++)
for (j=0;j<n;j++)
c_A[i][j]=A[i][j];
// Inverse [Kinit]
for (i=0;i<n;i++)
for (j=0;j<n;j++){
if (i==j)
B[i][j]=1;
else
B[i][j]=0;
}
for (j=0;j<n-1;j++)
for (i=j+1;i<n;i++){
m=c_A[i][j]/c_A[j][j];
for (l=0;l<n;l++){
c_A[i][l] -= m*c_A[j][l];
B[i][l] -= m*B[j][l];
}
}
// backward substitutions
for (i=n-1;i>=0;i--)
for (j=0;j<n;j++){
Sum=0;
for (l=i+1;l<n;l++)
Sum += c_A[i][l]*C[l][j];
C[i][j]=(B[i][j]-Sum)/c_A[i][i];
}
}
void ElementInternalForce(double K[][6],double U[],double lanX[],double lanY[],double ee[][6],int I,int II){
double lan[6][6],UU[6],ff,ll[6][6];
int i,j;
lan[0][0]=lanX[I];lan[0][1]=lanY[I];lan[0][2]=0;lan[0][3]=0;lan[0][4]=0;lan[0][5]=0;
lan[1][0]=-lanY[I];lan[1][1]=lanX[I];lan[1][2]=0;lan[1][3]=0;lan[1][4]=0;lan[1][5]=0;
lan[2][0]=0;lan[2][1]=0;lan[2][2]=1;lan[2][3]=0;lan[2][4]=0;lan[2][5]=0;
lan[3][0]=0;lan[3][1]=0;lan[3][2]=0;lan[3][3]=lanX[I];lan[3][4]=lanY[I];lan[3][5]=0;
lan[4][0]=0;lan[4][1]=0;lan[4][2]=0;lan[4][3]=-lanY[I];lan[4][4]=lanX[I];lan[4][5]=0;
if (II == 1){
UU[0]=0;UU[1]=0;UU[2]=0;UU[3]=U[0];UU[4]=0;UU[5]=0;
}
if (II == 2){
UU[0]=0;UU[1]=0;UU[2]=U[1];UU[3]=U[0];UU[4]=0;UU[5]=0;
}
if (II == 3){
UU[0]=0;UU[1]=0;UU[2]=U[1];UU[3]=U[0];UU[4]=0;UU[5]=U[2];
}
for (i=0;i<6;i++)
for (j=0;j<6;j++)
ll[i][j]=0;
// [f] = [K] *[lan]* [u]

Matrix_Multiplication(K,lan,ll);
for (i=0; i<6; i++){
ff=0;
for (j=0; j<6; j++)
ff += ll[i][j]*UU[j];
ee[I][i] = ff;
}
}
void MatrixMulti01(double A[][NN], double B[], double C[],int n){
int i,j;
double ff;
// [u] = [Kinv] * [f]
for (i=0; i<n; i++)
{
ff=0;
for (j=0; j<n; j++)
ff += A[i][j]*B[j];
C[i] = ff;
}
}
double ABS(double B){
if (B < 0)
B = -B;//Absolute number
else
B = B;
return B;
}
double MIN(double A[],int n){
int i;
double Cmin;
Cmin = A[0];
// Max of abs
for (i=0;i<n;i++){
if(Cmin > A[i])
Cmin = A[i];
}
return Cmin;
}
void Distance(int i){
if (i < 10)
printf("bt");
if (i >= 10 && i <= 99)
printf("btb");
if (i >= 100 && i <= 999)
printf("btbb");
if (i >= 1000 && i <= 9999)
printf("btbbb");
if (i >= 10000 && i <= 20000)
printf("btbbbb");
}
void MessageInitialData(double Iner,double Area,double As,double Elas,double Ny,double Fini,int M,double x[],double y[]){
char Qa,Qb,Qc,Qd,Qe,Qf,Qg,Qk;
int i;
Qa=201;Qb=205;Qc=187;Qd=200;Qe=188,Qf=186,Qg=204,Qk=185;
printf("tttt%c",Qa);
for (i=1;i<60;i++)
printf("%c",Qb);
printf("%cn",Qc);
printf("tttt%c >> IN THE NAME OF GOD << %cn",Qf,Qf);
printf("tttt%c Pushover Analysis Force Analogy Method with Force Control %cn",Qf,Qf);
printf("tttt%c Based on Timoshenko Beam Theory %cn",Qf,Qf);
printf("tttt%c UNIT: Free Unit %cn",Qf,Qf);
printf("tttt%c",Qg);
for (i=1;i<60;i++)
printf("%c",Qb);
printf("%cn",Qk);
printf("tttt%c This program is written by Salar Delavar Ghashghaei %cn",Qf,Qf);
printf("tttt%c E-mail: salar.d.ghashghaei@gmail.com %cn",Qf,Qf);
printf("tttt%c",Qd);
for (i=1;i<60;i++)
printf("%c",Qb);
printf("%cn",Qe);
MessageInputDataTEXT();
printf(" Section moment inertia: %.3en",Iner);
printf(" Section area: %.3en",Area);
printf(" Section shear area: %.3en",As);
printf(" Section elasticity modulus: %.3en",Elas);
printf(" Section poisson ratio: %.3en",Ny);
printf(" External Incremental Fx force [DOF(4)]: %.3en",Fini);
printf(" Number of increment: %dn",M);
}
void MessageAnalysisReport(){
int i;
char Ql=176;
printf("n ");
for (i=1;i<64;i++)
printf("%c",Ql);
printf(" Analysis Report ");
for (i=1;i<64;i++)
printf("%c",Ql);
printf("n");
}
void MessageCheck_IMPORT_DATA01(double Iner,double Area,double As,double Elas,double Ny,int M){
if (Iner <= 0 || Area <= 0 || As<= 0 || Elas<= 0 || Ny<= 0 || M <= 0 ){
MessageErrorReportTEXT();
printf(" Section moment inertia: %.3en",Iner);
printf(" Section area: %.3en",Area);
printf(" Section shear area: %.3en",As);
printf(" Section elasticity modulus: %.3en",Elas);
printf(" Section poisson ratio: %.3en",Ny);
printf(" Number of increment: %dn",M);
Sleep(40000);
exit(1);
}
}
void MessageCheck_IMPORT_DATA03(double TET[],double MOM[],double TEO[],double SHE[],int n){
int i;
for(i=0;i<n;i++){
if (TET[i] < 0|| MOM[i] < 0 || TEO[i] < 0|| SHE[i] < 0){
printf(" Please check this file! -> [%s]n",ShowText03);
printf(" Row %d has a negative value.n",i+1);
printf(" *** Negative data input value is not acceptable ***n");
Sleep(40000);
exit(1);
}
}
}
void MessageCheckMk(int M,int K){
if (M < 2 || M > STEP || K < 2 || K > 10){
printf(" Plastic hinge data: %d - Plastic hinge data must be data -> Minimum : 2 - Maximum : 10n",K);
printf(" Number of increment: %d - Plastic hinge data must be data -> Minimum : 2 - Maximum : %dn",M,STEP);
Sleep(40000);
exit(1);

}
}
void MessageErrorReportTEXT(){
int i;
char Ql;
Ql=176;
textcolor(12);
printf("an ");
for (i=1;i<50;i++)
printf("%c",Ql);
printf(" Error Report ");
for (i=1;i<50;i++)
printf("%c",Ql);
printf("n");
}
void MessageInputDataTEXT(){
int i;
char Ql=176;
printf("n ");
for (i=1;i<50;i++)
printf("%c",Ql);
printf(" Input Data ");
for (i=1;i<50;i++)
printf("%c",Ql);
printf("n");
}
void OUTPUT_excel(double output_u01[],double output_u02[],double output_u03[],double output_base01[],double output_base02[],double C[6][STEP],int n){
// EXCEL OUTPUT
int i,I;
FILE *OutputFile;
OutputFile = fopen(ShowText05, "w");
fprintf(OutputFile," ### Pushover Analysis Force Analogy Method with Force Control Based on Timoshenko Beam Theory ###n");
fprintf(OutputFile,"Element Number %dn",1);
fprintf(OutputFile,"n");
fprintf(OutputFile,"Increment,Base Shear [DOF(1)],Base Moment [DOF(3)],Displacement [DOF(4)],Rotation [DOF(3)],Rotation [DOF(6)]n");
for(i=0;i<n;i++)
fprintf(OutputFile,"%d,%e,%e,%e,%e,%en",i+1,output_base01[i],output_base02[i],output_u01[i],output_u02[i],output_u03[i]);
fprintf(OutputFile,"n");
fprintf(OutputFile,"Increment,axial-i,shear-i,moment-i,axial-j,shear-j,moment-jn");
for(i=0;i<n;i++)
fprintf(OutputFile,"%d,%e,%e,%e,%e,%e,%en",i+1,C[0][i],C[1][i],C[2][i],C[3][i],C[4][i],C[5][i]);
fclose(OutputFile);
}
void Matrix_Zero(double A[][NN],int n){
int i,j;
for (i=0;i<n;i++)
for (j=0;j<n;j++)
A[i][j] = 0;
}
void MatrixDetermination(double A[][NN],int n,double &Product){
// row operations
int i,j,k;
double m,B[n][n];
for (i=0;i<n;i++)
for (j=0;j<n;j++)
B[i][j]=A[i][j];
for (k=0;k<n-1;k++)
for (i=k+1;i<n;i++){
m = B[i][k]/B[k][k];
for (j=0;j<n;j++)
B[i][j] -= m*B[k][j];
}
Product=1;
for (i=0;i<n;i++)
Product *= B[i][i];
// display results
if (Product == 0){
printf("ant ### it Seens that Golobal Matrix is singular or structure is unstable!!! ###n");
//Sleep(40000);
//exit(1);
}
}
void IMPORT_DATA01(double &Iner,double &Area,double &As,double &Elas,double &Ny,double &Fini,int &M){
double Import_Data[7];
int i=0;
FILE *InputFile;
InputFile = fopen(ShowText01, "r");
if (!InputFile){
printf(" File is not available! -> [%s] n",ShowText01);
Sleep(6000);
exit(1);
}
char line[100],a[100];
while(i < 8 && fgets(line,sizeof(line),InputFile) != NULL){
sscanf(line,"%s",a);
//printf("a[%d]: %sn",i,a);
Import_Data[i]= atof(a);
i++;
}
Iner=Import_Data[0];
Area=Import_Data[1];
As=Import_Data[2];
Elas=Import_Data[3];
Ny=Import_Data[4];
Fini=Import_Data[5];
M=Import_Data[6];
}
void IMPORT_DATA02(double x[],double y[],int &n){
int i = 0;
FILE *InputFile;
if (!InputFile){
printf(" File is not available! -> [%s] n",ShowText02);
Sleep(6000);
exit(1);
}
char line[1000];
do{
fscanf(InputFile,"%lf,%lf",&x[i],&y[i]);
i++;
}
while(i < 2 && fgets(line,sizeof(line),InputFile) != NULL);
n = i;
//printf("%dn",n);
}
void IMPORT_DATA03(double TET[],double MOM[],double TEO[],double SHE[],int &k){
int i = 0;
FILE *InputFile;
if (!InputFile){
printf(" File is not available! -> [%sn",ShowText03);
Sleep(6000);
exit(1);
}
char line[1000];
do{

fscanf(InputFile,"%lf,%lf,%lf,%lf",&TET[i],&MOM[i],&TEO[i],&SHE[i]);
//printf("%d - TET01[%d]: %lf - MOM01[%d]: %lf TET02[%d]: %lf - MOM02[%d]: %lfn",i,i,TET[i],i,MOM[i],i,TEO[i],i,SHE[i]);
i++;
}
while(i < 10 && fgets(line,sizeof(line),InputFile) != NULL);
k = i-1;
//printf("%dn",k);
}
void textcolor(int ForgC){
WORD wColor;
//This handle is needed to get the current background attribute
HANDLE hStdOut = GetStdHandle(STD_OUTPUT_HANDLE);
CONSOLE_SCREEN_BUFFER_INFO csbi;
//csbi is used for wAttributes word
if(GetConsoleScreenBufferInfo(hStdOut, &csbi)){
//To mask out all but the background attribute, and to add the color
wColor = (csbi.wAttributes & 0xF0) + (ForgC & 0x0F);
SetConsoleTextAttribute(hStdOut, wColor);
}
return;
}
void ANALYSIS(double TET[],double MOM[],double TEO[],double SHE[],int np,double Iner,double Area,double As,double Elas,double Ny,double Fini,double x[],double y[],int M){
int i,j,z,zMAX;
double Product,MomS01,MomS02,She01,krk01,krk02,krk03,Rk01[10],Rk02[10],K[NN][NN],Kinv[NN][NN],eleF[Ne][6];
double L[Ne],lanX[Ne],lanY[Ne],AA[Ne],BB[Ne],CC[Ne],DD[Ne],EE[Ne],FF[NN],u[NN];
double *output_u01 = new double [STEP];
double *output_base01 = new double [STEP];
double *output_base02 = new double [STEP];
double *X = new double [STEP];
double *Y = new double [STEP];
double ELE_FORCE[6][STEP];
double MS[6][6],KG[6][6];
PlasticHingeStiffnessCOFF(TET,MOM,Rk01,np);
PlasticHingeStiffnessCOFF(TET,MOM,Rk02,np);
Matrix_Zero(K,3);
for (i=0;i<3;i++)
u[i] = 0;
for (i=0;i<STEP;i++){
output_u01[i] = 0.0;
}
for(i=0;i<6*Ne;i++)
for(j=0;j<M;j++)
ELE_FORCE[i][j] = 0;
for (i=0;i<Ne;i++){
L[i] = SQRT2((x[i+1]-x[i])*(x[i+1]-x[i])+(y[i+1]-y[i])*(y[i+1]-y[i]));
lanX[i] = (x[i+1]-x[i])/L[i];lanY[i] = (y[i+1]-y[i])/L[i];
}
MomS01=0;krk01=0;
MomS02=0;krk02=0;
// STAGE 01
for (z=0;z<M;z++){
u[1]=0;u[2]=0;
FF[0]=Fini*(z+1);
Matrix_Stiffness(Iner,Area,As,Elas,Ny,L,lanX,lanY,AA,BB,CC,DD,EE,MS,KG,0,1); // 0: ele 1 - 1: stiffness matrix: 1
K[0][0]= KG[3][3];//DOF(4)
MatrixDetermination(K,1,Product);
if (Product == 0)
break;
MatrixInverse(K,Kinv,1);// Inverse [Kinit]
MatrixMulti01(Kinv,FF,u,1);
zMAX = z + 1;
ElementInternalForce(MS,u,lanX,lanY,eleF,0,1); // 0: ele 1 - 1: step 1
ELEMNT_FORCE_OUTPUT(eleF,ELE_FORCE,z);
// for (i=0;i<1;i++)
// printf("t u[%d]: %f n",i,u[i]);
// for (i=0;i<6;i++)
// printf("t %f n",ELE_FORCE[i][z]);
output_u01[z]=u[0];//output displacement DOF(4)
output_base01[z]=-ELE_FORCE[1][z];//output base shear DOF(1)
output_base02[z]=-ELE_FORCE[2][z];//output base moment DOF(3)
if (ABS(eleF[0][1]) >= SHE[0]){
printf("t Shear-1: %f reaached to yield: %f n",ABS(eleF[0][1]),SHE[0]);
break;
}
if (ABS(eleF[0][2]) >= MOM[0]){
printf("t Moment-1: %f reaached to yield: %f n",ABS(eleF[0][2]),MOM[0]);
break;
}
if (ABS(eleF[0][5]) >= MOM[0]){
break;
}
if (ABS(u[1]) >= TET[np-1]){
printf("t Rotation-1: %f reaached to yield: %f n",ABS(u[1]),TET[np-1]);
break;
}
if (ABS(u[2]) >= TET[np-1]){
break;
}
}// for
// So plastic hinge has formed in 2 node
// STAGE 02
for (z=zMAX;z<M;z++){
u[2]=0;
PlasticHingeStiffness(eleF,0,2,MOM,Rk01,MomS01,krk01,np); // 5:Moment DOF(6)
FF[0]=Fini*(z+1);
FF[1]=-MomS01;
K[0][0]= KG[3][3];//DOF(4)
K[0][1]= KG[3][2];//DOF(4)
K[1][0]= KG[2][3];//DOF(3)
K[1][1]= KG[2][2]+krk01;//DOF(3)
// for (i=0;i<2;i++){
// for (j=0;j<2;j++)
// printf("t K[%d][%d]: %.4e ",i,j,K[i][j]);
// printf("n");
// }
// printf("n");
MatrixDetermination(K,2,Product);
if (Product == 0)
break;

zMAX = z + 1;
ElementInternalForce(MS,u,lanX,lanY,eleF,0,2); // 2: step 2
// for (i=0;i<2;i++)
// for (i=0;i<6;i++)
// printf("t %f n",eleF[0][i]);
output_u02[z]=u[1];//output rotation DOF(3)
if (ABS(eleF[0][1]) >= SHE[0]){
break;
}
// if (ABS(eleF[0][2]) >= MOM[0]){
// printf("t Moment-1: %f reaached to yield: %f n",ABS(eleF[0][2]),MOM[0]);
// break;
// }
if (ABS(eleF[0][5]) >= MOM[0]){
break;
}
if (ABS(u[1]) >= TET[np-1]){
break;
}
if (ABS(u[2]) >= TET[np-1]){
break;
}
}// for
// So plastic hinge has formed in 1 node
// STAGE 03
for (z=zMAX;z<M;z++){
//printf("ttt %.3e %.3e n",MomS01,krk01);
FF[0]=Fini*(z+1);
FF[1]=-MomS01;
FF[2]=-MomS02;
K[0][0]= KG[3][3];//DOF(4)
K[0][1]= KG[3][2];//DOF(4)
K[0][2]= KG[3][5];//DOF(4)
K[1][0]= KG[2][3];//DOF(6)
K[1][1]= KG[2][2]+krk01;//DOF(6)
K[1][2]= KG[2][5];//DOF(6)
K[2][0]= KG[5][3];//DOF(3)
K[2][1]= KG[5][2];//DOF(3)
K[2][2]= KG[5][5]+krk02;//DOF(3)
// for (i=0;i<3;i++){
// for (j=0;j<3;j++)
// printf("t K[%d][%d]: %f ",i,j,K[i][j]);
// printf("n");
// }
// MatrixDetermination(K,3,Product);
// if (Product == 0)
// break;
zMAX = z + 1;
ElementInternalForce(MS,u,lanX,lanY,eleF,0,3);// 3: step 3
// for (i=0;i<3;i++)
// for (i=0;i<6;i++)
// printf("t %f n",eleF[0][i]);
if (ABS(eleF[0][1]) >= SHE[0]){
break;
}
// if (ABS(eleF[0][2]) >= MOM[0]){
// break;
// }
// if (ABS(eleF[0][5]) >= MOM[0]){
// break;
// }
if (ABS(u[1]) >= TET[np-1]){
break;
}
if (ABS(u[2]) >= TET[np-1]){
break;
}
}// for
MessageResult(output_base01,output_base02,output_u01,output_u02,output_u03,zMAX);
OUTPUT_excel(output_u01,output_u02,output_u03,output_base01,output_base02,ELE_FORCE,zMAX);
OUTPUT_html(Iner,Area,As,Elas,Ny,Fini,x,y,TET,MOM,TEO,SHE,output_u01,output_u02,output_u03,output_base01,output_base02,ELE_FORCE,zMAX,np,M);
char text1[30]="Base Shear-Displacement Graph",text2[30]="Displacement [DOF(5)]",text3[30]="Base Shear [DOF(1)]";
for (i=0;i<zMAX;i++){
X[i] = output_u01[i];// Disp. DOF(5)
Y[i] = output_base01[i];// Base Shear DOF(1)
}
OUTPUT_HTML_GRAPH(X,Y,zMAX,text1,text2,text3);
textcolor(15);
printf("na - %s -n",ShowText04);
system("start /w Graph-outputHTML.html");
DATE_TIME();
free(output_u01);free(output_u02);free(output_u03);
free(output_base01);free(output_base02);
free(X);free(Y);
}
void PlasticHingeStiffnessCOFF(double A[],double B[],double C[],int n){
int i;
for (i=0;i<n-1;i++){
C[i]=(B[i+1]-B[i])/(A[i+1]-A[i]);
//printf("%d - Rk[%d]: %fn",i,i,C[i]);
}
}
void PlasticHingeStiffness(double A[1][6],int I,int II,double B[],double C[],double &MomS,double &KRK,int n){

int i;
for (i=0;i<n-1;i++){
if (ABS(A[I][II]) >= B[i] && ABS(A[I][II]) <= B[i+1]){
MomS = B[i];KRK = C[i];//printf("t %.3e %.3e %.3e n",B[i],MomS,KRK);
}
}
if (ABS(A[I][II]) > B[n-1]){
MomS = 0;KRK = 0;
}
}
void DATE_TIME(){
printf("nt");
system("echo %date%");
printf("t");
system("echo %time%");
}
void Matrix_Stiffness(double Iner,double Area,double As,double Elas,double Ny,double L[],double lanX[],double lanY[],double A[],double B[],double C[],double D[],double E[],double K[][6],double K_G[][6],int I,int II){
double g,EI,EA,fi,lan[6][6],lan_Tr[6][6],ans[6][6];
g = Elas/(2*(1+Ny));
EI = Elas*Iner;
EA = Elas*Area;
fi = (12*EI)/(g*As*L[I]*L[I]);// Timoshenko beam coefficient
A[I] = ((4+fi)*EI/L[I])*(1/(1+fi));
B[I] = (6*EI/(L[I]*L[I]))*(1/(1+fi));
C[I] = ((2-fi)*EI/L[I])*(1/(1+fi));
D[I] = (12*EI/(L[I]*L[I]*L[I]))*(1/(1+fi));//printf("tt %f n",D[I]);
E[I] = EA/L[I];
for (int i=0;i<6;i++)
for (int j=0;j<6;j++)
K[i][j] = 0.0;
//I:2 number of element - II: kind of stiffness matrix
if (II==1){// No plastic hinge
K[0][0]=E[I];K[0][1]=0;K[0][2]=0;K[0][3]=-E[I];K[0][4]=0;K[0][5]=0;
K[1][0]=0;K[1][1]=D[I];K[1][2]=B[I];K[1][3]=0;K[1][4]=-D[I];K[1][5]=B[I];
K[2][0]=0;K[2][1]=B[I];K[2][2]=A[I];K[2][3]=0;K[2][4]=-B[I];K[2][5]=C[I];
K[3][0]=-E[I];K[3][1]=0;K[3][2]=0;K[3][3]=E[I];K[3][4]=0;K[3][5]=0;
K[4][0]=0;K[4][1]=-D[I];K[4][2]=-B[I];K[4][3]=0;K[4][4]=D[I];K[4][5]=-B[I];
K[5][0]=0;K[5][1]=B[I];K[5][2]=C[I];K[5][3]=0;K[5][4]=-B[I];K[5][5]=A[I];
}
if (II==2){// plastic hinge at i
K[0][0]=E[I];K[0][1]=0;K[0][2]=0;K[0][3]=-E[I];K[0][4]=0;K[0][5]=0;
K[1][0]=0;K[1][1]=.25*D[I];K[1][2]=0;K[1][3]=0;K[1][4]=-.25*D[I];K[1][5]=.5*B[I];
K[2][0]=0;K[2][1]=0;K[2][2]=0;K[2][3]=0;K[2][4]=0;K[2][5]=0;
K[3][0]=-E[I];K[3][1]=0;K[3][2]=0;K[3][3]=E[I];K[3][4]=0;K[3][5]=0;
K[4][0]=0;K[4][1]=-.25*D[I];K[4][2]=0;K[4][3]=0;K[4][4]=.25*D[I];K[4][5]=-.5*B[I];
K[5][0]=0;K[5][1]=.5*B[I];K[5][2]=0;K[5][3]=0;K[5][4]=-.5*B[I];K[5][5]=(3/4)*A[I];
}
if (II==3){// plastic hinge at j
K[0][0]=E[I];K[0][1]=0;K[0][2]=0;K[0][3]=-E[I];K[0][4]=0;K[0][5]=0;
K[1][0]=0;K[1][1]=.25*D[I];K[1][2]=.5*B[I];K[1][3]=0;K[1][4]=-.25*D[I];K[1][5]=0;
K[2][0]=0;K[2][1]=.5*B[I];K[2][2]=(3/4)*A[I];K[2][3]=0;K[2][4]=-.5*B[I];K[2][5]=0;
K[3][0]=-E[I];K[3][1]=0;K[3][2]=0;K[3][3]=E[I];K[3][4]=0;K[3][5]=0;
K[4][0]=0;K[4][1]=-.25*D[I];K[4][2]=-.5*B[I];K[4][3]=0;K[4][4]=.25*D[I];K[4][5]=0;
K[5][0]=0;K[5][1]=0;K[5][2]=0;K[5][3]=0;K[5][4]=0;K[5][5]=0;
}
if (II==4){// plastic hinge at i and j
K[0][0]=E[I];K[0][1]=0;K[0][2]=0;K[0][3]=-E[I];K[0][4]=0;K[0][5]=0;
K[1][0]=0;K[1][1]=0;K[1][2]=0;K[1][3]=0;K[1][4]=0;K[1][5]=0;
K[2][0]=0;K[2][1]=0;K[2][2]=0;K[2][3]=0;K[2][4]=0;K[2][5]=0;
K[3][0]=-E[I];K[3][1]=0;K[3][2]=0;K[3][3]=E[I];K[3][4]=0;K[3][5]=0;
K[4][0]=0;K[4][1]=0;K[4][2]=0;K[4][3]=0;K[4][4]=0;K[4][5]=0;
K[5][0]=0;K[5][1]=0;K[5][2]=0;K[5][3]=0;K[5][4]=0;K[5][5]=0;
}
lan[0][0]=lanX[I];lan[0][1]=lanY[I];lan[0][2]=0;lan[0][3]=0;lan[0][4]=0;lan[0][5]=0;
lan[1][0]=-lanY[I];lan[1][1]=lanX[I];lan[1][2]=0;lan[1][3]=0;lan[1][4]=0;lan[1][5]=0;
lan[3][0]=0;lan[3][1]=0;lan[3][2]=0;lan[3][3]=lanX[I];lan[3][4]=lanY[I];lan[3][5]=0;
lan[4][0]=0;lan[4][1]=0;lan[4][2]=0;lan[4][3]=-lanY[I];lan[4][4]=lanX[I];lan[4][5]=0;
Matrix_Transpose(lan,lan_Tr);
Matrix_Multiplication(lan_Tr,K,ans);
Matrix_Multiplication(ans,lan,K_G);
}
void ELEMNT_FORCE_OUTPUT(double eleF[1][6],double ELE_FORCE[6][STEP],int n){
int i;
for (i=0;i<6;i++)
ELE_FORCE[i][n]=eleF[0][i];
}
double SQRT2(double D){
int it,itermax;
double residual,tolerance,x,dx,dx_ABS,f,df;
it = 0; // initialize iteration count
itermax = 100000;
residual = 100; // initialize residual
tolerance = 1e-12;
x = 1;// initialize answer
while (residual > tolerance){
f = x*x - D;
df = 2 * x;
dx = f/df;
x= x - dx;
residual = ABS(dx); // abs residual
it = it + 1; // increment iteration count
//printf("f: %f -tdx: %f -tresidual: %fn",f,dx,residual);
if (it == itermax){
//printf("tSQRT2(number,power) : SQRT2(%f) - iteration: %d -> ## The solution is not converged ##n",D,it);
break;
}
}
if (it < itermax){
//printf("tSQRT(number,power) - SQRT(%f,%f) : %f n",D,n, x);
return x;
}
}
void Matrix_Transpose(double A[6][6],double B[6][6]){
int i,j;
for (i=0;i<6;i++)
for (j=0;j<6;j++)
B[j][i]=A[i][j];
}
void Matrix_Multiplication(double A[6][6],double B[6][6],double C[6][6]){
int i,j,k;
double sum;
for (i=0;i<6;i++)
for (j=0;j<6;j++){
sum=0;
for (k=0;k<6;k++)
sum += A[i][k]*B[k][j];
C[i][j] = sum;
}
}
void MessageResult(double output_base01[],double output_base02[],double output_u01[],double output_u02[],double output_u03[],int n){
int i;
printf("t ");
for (i=0;i<120;i++)
printf("-");
printf("n");
printf("t Increment Base Shear[DOF(1)] Base SMoment[DOF(3)] Disp. [DOF(5)] Rotation [DOF(3)] Rotation [DOF(6)]n");
printf("t ");
for (i=0;i<120;i++)
printf("-");
printf("n");

for (i=0;i<n;i++){
//Distance(i+1);
printf("tt %dt %.3et %.3et %.3et %.3et %.3en",i+1,output_base01[i],output_base01[i],output_u01[i],output_u02[i],output_u03[i]);
}
}
void MessageStrCoorTEXT(double X[],double Y[],int n){
int i;
char Qa,Qb,Qc,Qd,Qe,Qf;
Qa=201;Qb=205;Qc=187;Qd=200;Qe=188;Qf=186;
printf(" %c",Qa);
for (i=1;i<33;i++)
printf("%c",Qb);
printf("%cn",Qc);
printf(" %c Structural Coordinate Data %cn",Qf,Qf);
printf(" %c X Y %cn",Qf,Qf);
printf(" %c",Qd);
for (i=1;i<33;i++)
printf("%c",Qb);
printf("%cn",Qe);
for(i=0;i<n;i++)
printf(" %.3e %.3en",X[i],Y[i]);
}
void MessagePlasticHingeTEXT(double TET[],double MOM[],double TEO[],double SHE[],int n){
int i;
char Qa,Qb,Qc,Qd,Qe,Qf;
int BB=201,CC=205,DD=187,EE=200,FF=188,GG=186;
Qa=BB;Qb=CC;Qc=DD;Qd=EE;Qe=FF;Qf=GG;
printf(" %c",Qa);
for (i=1;i<67;i++)
printf("%c",Qb);
printf("%cn",Qc);
printf(" %c Plastic Hinge Data %cn",Qf,Qf);
printf(" %c Plastic Moment Hinge 01 | Plastic Shear Hinge 02 %cn",Qf,Qf);
printf(" %c Rotation Moment | Shear Deformation Shear %cn",Qf,Qf);
printf(" %c",Qd);
for (i=1;i<67;i++)
printf("%c",Qb);
printf("%cn",Qe);
for(i=0;i<n;i++)
printf(" %.3e %.3e %.3e %.3en",TET[i],MOM[i],TEO[i],SHE[i]);
}
void OUTPUT_html(double Iner,double Area,double As,double Elas,double Ny,double Fini,double X[],double Y[],double TET[],double MOM[],double TEO[],double SHE[],double output_u01[],double output_u02[],double output_u03[],double output_base01[],double output_base02[],double C[6][STEP],int n,int m,int M){
// HTML OUTPUT
int i;
FILE *OutputFile;
fprintf(OutputFile,"<html> <body bgcolor="green">n");
// IMPORT IMAGE
fprintf(OutputFile,"<img src="PushoverForceAnalogyMethodTimoshenkoFC-image01.png" style="width:1000px ; height:500px" alt="analysis"><br><br>n");
// TOP TITLE oF HTML FILE
fprintf(OutputFile,"<table style=”width:100%” border="2px" width="1000px" height="120px" bgcolor="yellow">n");
fprintf(OutputFile,"<tr><th bgcolor="cyan"> Pushover Analysis Force Analogy Method with Force Control Based on Timoshenko Beam Theory - Output Report </th> n");
// TABLE 1
fprintf(OutputFile,"<tr><th colspan="2" bgcolor="orange"> Input Data </th> </tr>n");
fprintf(OutputFile,"<tr> <th bgcolor="orange">Section moment inertia: </th><th> %.3e </th> </tr>n",Iner);
fprintf(OutputFile,"<tr> <th bgcolor="orange">Section area: </th><th> %.3e </th> </tr>n",Area);
fprintf(OutputFile,"<tr> <th bgcolor="orange">Section shear area: </th><th> %.3e </th> </tr>n",As);
fprintf(OutputFile,"<tr> <th bgcolor="orange">Section elasticity modulus: </th><th> %.3e </th> </tr>n",Elas);
fprintf(OutputFile,"<tr> <th bgcolor="orange">Section poisson ratio: </th><th> %.3e </th> </tr>n",Ny);
fprintf(OutputFile,"<tr> <th bgcolor="orange">External Incremental Fx force [DOF(4)]: </th><th> %.3e </th> </tr>n",Fini);
fprintf(OutputFile,"<tr> <th bgcolor="orange">Number of increment: </th><th> %d </th> </tr>n",M);
// TABLE 2
fprintf(OutputFile,"<th colspan="4" bgcolor="orange"> Hinges Data </th>n");
fprintf(OutputFile,"<tr> <th colspan="2" bgcolor="orange">Hinge[1]: Moment - Rotation </th> <th colspan="2" bgcolor="orange">Hinge[2]: Shear - Shear Deformation </th></tr>n");
fprintf(OutputFile,"<tr> <th bgcolor="orange"> Rotation </th> <th bgcolor="orange"> Moment </th><th bgcolor="orange"> Shear Deformation </th> <th bgcolor="orange"> Shear</th> </tr>n");
for(i=0;i<m;i++){
fprintf(OutputFile,"<tr> <td align ="center"> %.3e </td> <td align ="center"> %.3e </td><td align ="center"> %.3e </td><td align ="center"> %.3e </td> </tr>n",TET[i],MOM[i],TEO[i],SHE[i]);
}
// TABLE 3
fprintf(OutputFile,"<tr><th colspan="3" bgcolor="orange"> Structral Coordinate </th> </tr>n");
fprintf(OutputFile,"<tr> <th bgcolor="orange">Node Number </th><th bgcolor="orange">X Coordinate</th> <th bgcolor="orange">Y Coordinate</th> </tr>n");
for(i=0;i<Ne+1;i++){
fprintf(OutputFile,"<tr> <td align ="center"> %d </td><td align ="center"> %.3e </td> <td align ="center"> %.3e </td>n",i+1,X[i],Y[i]);
}
// TABLE 4
fprintf(OutputFile,"<tr><th colspan="6" bgcolor="orange"> Structral Deformation </th> </tr>n");
fprintf(OutputFile,"<tr> <th bgcolor="orange">Increment</th> <th bgcolor="orange">Base Shear [DOF(1)]</th><th bgcolor="orange">Base Moment [DOF(3)]</th><th bgcolor="orange">Displacement [DOF(5)]</th> <th bgcolor="orange">Rotation [DOF(3)]</th><th bgcolor="orange">Rotation [DOF(6)]</th></tr>n");
for(i=0;i<n;i++){
fprintf(OutputFile,"<tr> <td align ="center"> %d </td> <td align ="center"> %.3e </td><td align ="center"> %.3e </td><td align ="center"> %.3e </td> <td align ="center"> %.3e </td><td align ="center"> %.3e </td></tr>n",i+1,output_base01[i],output_base02[i],output_u01[i],output_u02[i],output_u03[i]);
}
// TABLE 5
fprintf(OutputFile,"<tr><th colspan="7" bgcolor="orange"> Structral Element Internal Forces </th> </tr>n");
fprintf(OutputFile,"<tr> <th bgcolor="orange">Increment</th> <th bgcolor="orange">Axial-i</th> <th bgcolor="orange">Shear-i</th> <th bgcolor="orange">Moment-i</th> <th bgcolor="orange">Axial-j</th> <th bgcolor="orange">Shear-j</th> <th bgcolor="orange">Moment-j</th> </tr>n");
for(i=0;i<n;i++){
fprintf(OutputFile,"<tr> <td align ="center"> %d </td> <td align ="center"> %.3e </td> <td align ="center"> %.3e </td> <td align ="center"> %.3e </td><td align ="center"> %.3e </td><td align ="center"> %.3e </td><td align ="center"> %.3e </td> </tr>n",i+1,C[0][i],C[1][i],C[2][i],C[3][i],C[4][i],C[5][i]);
}
fprintf(OutputFile,"</table></body></html>n");
fclose(OutputFile);
}
void OUTPUT_HTML_GRAPH(double X[],double Y[],int n,const char text1[],const char text2[],const char text3[]){
// HTML GRAPH OUTPUT
int i;
double x,y,Xmax,Ymax;
double *Xnew = new double [STEP];
double *Ynew = new double [STEP];
double *NorX = new double [STEP];
double *NorY = new double [STEP];
Xmax=MAX_ABS(X,n);
Ymax=MAX_ABS(Y,n);
Xnew[0]=0;Ynew[0]=0;
for (i=0;i<n;i++){
Xnew[i+1] = ABS(X[i]);
Ynew[i+1] = ABS(Y[i]);
}
for (i=0;i<n+1;i++){
NorX[i] = Xnew[i]/Xmax;
NorY[i] = Ynew[i]/Ymax;
//printf("t %f %f n",NorX[i],NorY[i]);
}
FILE *OutputFile;
fprintf(OutputFile,"<!DOCTYPE HTML><html><body style="background-color:black;"><font color="white"><head><script> n");
fprintf(OutputFile,"window.onload = function(){ n");
fprintf(OutputFile,"var canvas = document.getElementById("myCanvas");var s1 = canvas.getContext("2d");var s2 = canvas.getContext('2d'); n");
fprintf(OutputFile,"var s3 = canvas.getContext("2d");var s4 = canvas.getContext("2d");var s5 = canvas.getContext("2d"); n");
fprintf(OutputFile,"var x=120,y=80,X,Y,Lx=1100,Ly=500,i; n");
fprintf(OutputFile,"s3.beginPath();s3.lineWidth = 3;s3.strokeStyle = "cyan";s3.rect(x,y,Lx,Ly); n");
fprintf(OutputFile,"for(i=0;i<9;i++){s3.moveTo(x+Lx*(i+1)*.1,y+Ly);s3.lineTo(x+Lx*(i+1)*.1,y+Ly-10);}; n");
fprintf(OutputFile,"for(i=0;i<9;i++){s3.moveTo(x,y+Ly*(i+1)*.1);s3.lineTo(x+10,y+Ly*(i+1)*.1);};s3.stroke();n");
fprintf(OutputFile,"s1.beginPath();s1.lineWidth = 3;s1.strokeStyle = "yellow"; n");
for (i=0;i<n;i++){
fprintf(OutputFile,"s1.moveTo(%f,%f);",120+NorX[i]*1100,80+500-NorY[i]*500);
fprintf(OutputFile,"s1.lineTo(%f,%f); n",120+NorX[i+1]*1100,80+500-NorY[i+1]*500);
}
fprintf(OutputFile,"s1.stroke(); n");
fprintf(OutputFile,"s2.beginPath();s2.lineWidth = 1;s2.strokeStyle = "cyan";s2.setLineDash([5, 5]); n");
fprintf(OutputFile,"for(i=0;i<19;i++){s2.moveTo(x+Lx*(i+1)*.05,y);s2.lineTo(x+Lx*(i+1)*.05,y+Ly);} n");

fprintf(OutputFile,"s2.lineWidth = 1;s2.strokeStyle = "cyan";for(i=0;i<19;i++){s2.moveTo(x,y+Ly*(i+1)*.05);s2.lineTo(x+Lx,y+Ly*(i+1)*.05);} s2.stroke();n");
fprintf(OutputFile,"X=x+.25*Lx;Y=.7*y;s4.translate(X,Y);s4.font="50px serif";s4.fillStyle = "#7fff00";s4.fillText("%s",0,0); n",text1);
fprintf(OutputFile,"s4.save();X=-X+.2*x;Y=-Y+y+.6*Ly;s4.translate(X,Y);s4.rotate(3*Math.PI/2);s4.font="15px serif"; n");
fprintf(OutputFile,"s4.fillStyle = "#7fff00";s4.textAlign = "left";s4.fillText("%s",0,0);s4.restore(); n",text3);
fprintf(OutputFile,"s4.save();X=.2*Lx;Y=y+Ly-20;s4.translate(X,Y);s4.rotate(2*Math.PI);s4.font="15px serif";s4.fillStyle = "#7fff00"; n");
fprintf(OutputFile,"s4.textAlign = "left";s4.fillText("%s",0,0);s4.restore(); n",text2);
for(i=0;i<10;i++){
x=.1*(i+1)*Xmax;
fprintf(OutputFile,"s5.save();X=-.29*Lx+Lx*(%d+1)*.1;Y=.3*y+Ly+20;s5.rotate(2*Math.PI);s5.font="16px serif"; n",i);
fprintf(OutputFile,"s5.fillStyle = "#7fff00";s5.textAlign = "left";s5.fillText("%.3e",X,Y);s5.restore(); n",x);
}
for(i=0;i<10;i++){
y=.1*(i+1)*Ymax;
fprintf(OutputFile,"s5.save();X=-.28*Lx-50;Y=Ly+.3*y-Ly*(%d+1)*.1;s5.rotate(2*Math.PI);s5.font="16px serif"; n",i);
fprintf(OutputFile,"s5.fillStyle = "#7fff00";s5.textAlign = "left";s5.fillText("%.3e",X,Y);s5.restore(); n",y);
}
fprintf(OutputFile,"s5.save();X=-.25*Lx;Y=.3*y+Ly+20;s5.rotate(2*Math.PI);s5.font="16px serif";s5.fillStyle = "#7fff00";s5.fillText(0,X,Y);s5.restore(); n");
fprintf(OutputFile,"s5.save();X=-.25*Lx-50;Y=Ly+.3*y;s5.rotate(2*Math.PI);s5.font="16px serif";s5.fillStyle = "#7fff00";s5.textAlign = "left";s5.fillText(0,X,Y);s5.restore();}; n");
fprintf(OutputFile,"</script></head><body><canvas id="myCanvas" width="1300" height="1300" style="border:1px solid black;"></canvas></body></html> n");
fclose(OutputFile);
free(Xnew);free(Ynew);free(NorX);free(NorY);
}
double MAX_ABS(double A[],int n){
int i;
double B[STEP];
double Amax;
// abs value
for (i=0;i<n;i++){
B[i] = A[i];
if(B[i] < 0)
B[i] = -B[i];
}
// Max of abs
Amax = B[0];
for (i=1;i<n;i++){
if(Amax < B[i])
Amax = B[i];
}
return Amax;
}

Plot :
Figure(1) Analysis file

Figure(3) Input coordinate of structure csv file

Figure(4) Input plastic hinge (Moment-Rotation & Shear-Shear Deformation) csv file

Figure(5) Output report in csv file

Figure(6) Output report in html file

Figure(7) Base Shear-Displacement Graph in Html

Pushover analysis force analogy method with force control based on timoshenko beam theory in c programming

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Pushover analysis force analogy method with force control based on timoshenko beam theory in c programming