salardqashqai@blogfa.com

1. >> IN THE NAME OF GOD <
Geometric Nonlinearity Analysis of Springs with Rigid Element Displacement Control
Large Deformation Formulated in C programming
C program is written by Salar Delavar Ghashghaei – Publication Date: 18/November/2019
E-mail: salar.d.ghashghaei@gmail.com
-4.00E+03
-3.00E+03
-2.00E+03
-1.00E+03
0.00E+00
1.00E+03
2.00E+03
3.00E+03
4.00E+03
0.00E+00 2.00E+01 4.00E+01 6.00E+01 8.00E+01 1.00E+02 1.20E+02
BaseShear
Displacement
Geometric and Material Nonlinearity Analysis of Springs

2. C Code:#include <stdio.h>
#include <windows.h> // text color
#include <conio.h>
#define N 10000
#define S01 " >> IN THE NAME OF GOD << "
#define S02 " Geometric and Material Nonlinearity Analysis of Springs with Displacement Control "
#define S03 " UNIT: Free Unit "
#define S04 " This program is written by Salar Delavar Ghashghaei "
#define S05 " E-mail: salar.d.ghashghaei@gmail.com "
#define ShowText01 "ConnectionProblemDCStrain-inputDATA.csv"
#define ShowText02 "ConnectionProblemDCStrain-inputSPRING.csv"
#define ShowText03 "ConnectionProblemDCStrain-outputEXCEL.csv"
#define ShowText04 "ConnectionProblemDCStrain-outputMATLAB.m"
void IMPORT_DATA01(double Import_Data[]);
void IMPORT_DATA02(double STRAIN01[],double STRESS01[],double STRAIN02[],double STRESS02[],int &k);
void MessageNegative_IMPORT_DATA01(double Import_Data[]);
void MessageNegative_IMPORT_DATA02(double STRAIN01[],double STRESS01[],double STRAIN02[],double STRESS02[],int n);
void MessageInputDataTEXT();
void MessageAnalysisReportTEXT();
void MessageErrorReportTEXT();
void MessageInitialData(double Import_Data[],int n);
void MessageStrainStressTEXT(double STARIN01[],double STRESS01[],double STARIN02[],double STRESS02[],int n);
void textcolor(int ForgC);
void Distance(int i);
void Element_Slope(double A[],double B[],double C[],int n);
void Element_Stiffness(double A[],double B[],double C[],double D[],double E[],double F[],double K[],int n,int m);
void ANALYSIS(double Import_Data[],double STRAIN01[],double STRESS01[],double STRAIN02[],double STRESS02[],int n,int m);
void OUTPUT_excel(double A[],double B[],int n);
void OUTPUT_matlab(double A[],double B[],int n);
double ABS(double B);
double Horizental_Disp(double L,double &x,double y);
double SQRT2(double D);
int main(){
int k;
double Import_Data[10];
double STRAIN01[10];
double STRESS01[10];
double STRAIN02[10];
double STRESS02[10];
IMPORT_DATA01(Import_Data);
MessageNegative_IMPORT_DATA01(Import_Data);
IMPORT_DATA02(STRAIN01,STRESS01,STRAIN02,STRESS02,k);
MessageNegative_IMPORT_DATA02(STRAIN01,STRESS01,STRAIN02,STRESS02,k);
int m = 1 + ABS(Import_Data[9]/Import_Data[7]);
textcolor(10);
MessageInitialData(Import_Data,m);
MessageStrainStressTEXT(STRAIN01,STRESS01,STRAIN02,STRESS02,k);
textcolor(14);
ANALYSIS(Import_Data,STRAIN01,STRESS01,STRAIN02,STRESS02,k,m);
getch();
return 0;
}
void IMPORT_DATA01(double Import_Data[]){
int i=0;
FILE *InputFile;
InputFile = fopen(ShowText01, "r");
if (!InputFile){
MessageErrorReportTEXT();
printf(" File is not available! -> [%s] n",ShowText01);
Sleep(6000);
exit(1);
}
char line[100],a[100];
while(i < N && fgets(line,sizeof(line),InputFile) != NULL){
sscanf(line,"%s",a);
//printf("a[%d]: %sn",i,a);
Import_Data[i]= atof(a);
i++;
}
}
void IMPORT_DATA02(double STRAIN01[],double STRESS01[],double STRAIN02[],double STRESS02[],int &k){
int i = 0;
FILE *InputFile;
InputFile = fopen(ShowText02, "r");
if (!InputFile){
MessageErrorReportTEXT();
printf(" File is not available! -> [%s] n",ShowText02);
Sleep(6000);
exit(1);
}
char line[1000];
do{
fscanf(InputFile,"%lf,%lf,%lf,%lf",&STRAIN01[i],&STRESS01[i],&STRAIN02[i],&STRESS02[i]);
//printf("%d - STRAIN01[%d]: %lf - STRESS01[%d]: %lf- STRAIN02[%d]: %lf - STRESS02[%d]: %lfn",i,i,STRAIN01[i],i,STRESS01[i],i,STRAIN02[i],i,STRESS02[i]);
i++;
}
while(i < N && fgets(line,sizeof(line),InputFile) != NULL);
k = i-1;
//printf("%dn",k);
}
void MessageNegative_IMPORT_DATA01(double Import_Data[]){
if ( Import_Data[0] < 0 || Import_Data[1] < 0 || Import_Data[2] < 0 || Import_Data[3] < 0 || Import_Data[4] < 0 || Import_Data[9] < 0){
MessageErrorReportTEXT();
printf(" Please check this file! -> [%s]n",ShowText01);
printf(" *** Negative data input value is not acceptable ***n");
printf(" Length of rigid element: %fn",Import_Data[0]);
printf(" Spring length 1: %fn",Import_Data[1]);
printf(" Spring length 2: %fn",Import_Data[2]);
printf(" Spring area 1: %fn",Import_Data[3]);
printf(" Spring area 2: %fn",Import_Data[4]);
printf(" External applied load in spring 1: %fn",Import_Data[5]);
printf(" External applied load in spring 2: %fn",Import_Data[6]);
printf(" Initial applied displacement: %fn",Import_Data[7]);
printf(" Distance of spring 1 from rigid element: %fn",Import_Data[8]);
printf(" Ultimate absolute displacement: %fn",Import_Data[9]);
Sleep(40000);
exit(1);
}
}
void MessageNegative_IMPORT_DATA02(double STRAIN01[],double STRESS01[],double STRAIN02[],double STRESS02[],int n){
int i;
for (i=0;i<n+1;i++){
if ( STRAIN01[i] < 0 || STRESS01[i] < 0 || STRAIN02[i] < 0 || STRESS02[i] < 0 ){
MessageErrorReportTEXT();
printf(" Please check this file! -> [%s]n",ShowText02);
printf(" Row %d has a negative value.n",i);
printf(" *** Negative data input value is not acceptable ***n");
printf(" Strain of spring 1: %fn",STRAIN01[i]);
printf(" Stress of spring 1: %fn",STRESS01[i]);
printf(" Strian of spring 2: %fn",STRAIN02[i]);
printf(" Stress of spring 2: %fn",STRESS02[i]);
Sleep(40000);
exit(1);
}
}
}
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 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 MessageAnalysisReportTEXT(){
int i;
char Ql=176;
printf("n ");
for (i=1;i<47;i++)
printf("%c",Ql);
printf(" Analysis Report ");
for (i=1;i<47;i++)
printf("%c",Ql);
printf("n");
printf("nt ");
for (i=1;i<72;i++)
printf("-");
printf("n");
printf("t Increment Base Shear Incremental Displacement[DOF(1)] n");
printf("t ");
for (i=1;i<72;i++)
printf("-");
printf("n");
}
void Distance(int i){
if (i < 10)
printf("b");
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");
}
double ABS(double B){
if (B < 0)
B = -B;//Absolute number
else
B = B;
return B;
}
void Element_Slope(double A[],double B[],double C[],int n){
int i;
C[0]=B[0]/A[0];
//printf("%d - Rk[%d]: %fn",0,0,C[0]);
for (i=1;i<n;i++){
//cout<<i<<" - TET["<<i<<"]:"<<A[i]<<" - MOM["<<i<<"]:"<<B[i]<<endl;
C[i]=(B[i]-B[i-1])/(A[i]-A[i-1]);
//printf("%d - Strain[%d]: %f - Stress[%d]: %f - Rk[%d]: %fn",i,i,A[i],i,B[i],i,C[i]);
}
}
void Element_Stiffness(double A[],double B[],double C[],double D[],double E[],double F[],double K[],int n,int m){
int i;
if (ABS(D[n])>= 0 && ABS(D[n])<= A[0])
K[n] = (C[n]*E[n])/F[n];
for (i=0;i<m;i++){
if (ABS(D[n])> A[i] && ABS(D[n])<= A[i+1])
K[n] = ((B[i]+C[i+1]*(ABS(D[n])-A[i]))/ABS(D[n]))*E[n]/F[n];
}
if (ABS(D[n]) > A[m-1])
K[n] = 0;
}
void ANALYSIS(double Import_Data[],double STRAIN01[],double STRESS01[],double STRAIN02[],double STRESS02[],int n,int m){
double L,Dx,a=0,Le[2],Area[2],Force[2],es[2],K[2],SLOPE01[10],SLOPE02[10],Dini,Dmax,Du,up;
int z,zMAX,well_done=0;
double output_u[N],output_base[N];
L = Import_Data[0];
Le[0] = Import_Data[1];
Le[1] = Import_Data[2];
Area[0] = Import_Data[3];
Area[1] = Import_Data[4];
Force[0] = Import_Data[5];
Force[1] = Import_Data[6];
Dini = Import_Data[7];
Du = Import_Data[8];
Dmax = Import_Data[9];
double F[2],Ay;
Element_Slope(STRAIN01,STRESS01,SLOPE01,n);
Element_Slope(STRAIN02,STRESS02,SLOPE02,n);
MessageAnalysisReportTEXT();
for (z=0;z<m;z++){
up = Dini*(z+1);// Define the applied Displacement
Horizental_Disp(L,Dx,up);
a = SQRT2(.5*up*.5*up + .5*Dx*.5*Dx);// spring strain 1 during analysis
es[0] = a/Le[0];
Element_Stiffness(STRAIN01,STRESS02,SLOPE01,es,Area,Le,K,0,n);
F[0] = (((L-Dx)/L)*((L-Dx)/L))*K[0]*0.5*up + Import_Data[5];
Ay = F[0];
//printf("t+ %f - %fn",es[0],F[0]);
if (ABS(up) >= Du){
es[1] = (Du-up)/Le[1];
Element_Stiffness(STRAIN02,STRESS02,SLOPE02,es,Area,Le,K,1,n);
F[1] = (((L-Dx)/L)*((L-Dx)/L))*K[1]*(Du-up) + Import_Data[6];
Ay = F[0] + F[1];
//printf("t= %f - %fn",es[1],F[1]);
}
//printf("t %f - %fn",up,Dx);
zMAX=z+1;
output_u[z]=up;
output_base[z]=Ay;
Distance(z);
printf("tt%dtt%ett%en",z+1,output_base[z],output_u[z]);
if (ABS(up) >= Dmax){
well_done = 1;
textcolor(13);
printf("ntt ## Increment displacement reach to ultimate displacement ##nn");
break;
}
}// for
if (well_done == 1){
OUTPUT_excel(output_u,output_base,zMAX);
OUTPUT_matlab(output_u,output_base,zMAX);
textcolor(15);
printf("na - Output data is written in Excel and Matlab file -");
}
}
void OUTPUT_matlab(double A[],double B[],int n){
// MATLAB OUTPUT
int i;
FILE *OutputFile;
OutputFile = fopen(ShowText04, "w");
fprintf(OutputFile," %% Geometric and Material Nonlinearity Analysis of Springs with Displacement Control %%n");
fprintf(OutputFile,"disp_Dof1=[0n");
for(i=0;i<=n;i++)
fprintf(OutputFile,"%en",A[i]);
fprintf(OutputFile,"];nn");
fprintf(OutputFile,"base_shear=[0n");
for(i=0;i<=n;i++)
fprintf(OutputFile,"%en",B[i]);
fprintf(OutputFile,"];nn");
fprintf(OutputFile,"figure(1)n");
fprintf(OutputFile,"plot(disp_Dof1,base_shear,'LineWidth',3);n");
fprintf(OutputFile,"title(['# BASE SHEAR - DISPLACEMENT DIAGRAM #'],'Color','b');n");
fprintf(OutputFile,"xlabel('DISPLACEMENT [DOF(1)]');ylabel('BASE SHEAR');grid on;n");
fclose(OutputFile);
}
void OUTPUT_excel(double A[],double B[],int n){
// EXCEL OUTPUT
int i;
FILE *OutputFile;
OutputFile = fopen(ShowText03, "w");
fprintf(OutputFile," ### Geometric and Material Nonlinearity Analysis of Springs with Displacement Control ###n");
fprintf(OutputFile,"Increment,Displacement [DOF(1)],Base Shear[DOF(1)]n");
for(i=0;i<n;i++)
fprintf(OutputFile,"%d,%e,%en",i+1,A[i],B[i]);
fclose(OutputFile);
}
void MessageInitialData(double Import_Data[],int n){
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<84;i++)
printf("%c",Qb);
printf("%cn",Qc);
printf("tttt%c%s%cn",Qf,S01,Qf);
printf("tttt%c%s%cn",Qf,S02,Qf);
printf("tttt%c%s%cn",Qf,S03,Qf);
printf("tttt%c",Qg);
for (i=1;i<84;i++)
printf("%c",Qb);
printf("%cn",Qk);
printf("tttt%c%s%cn",Qf,S04,Qf);
printf("tttt%c%s%cn",Qf,S05,Qf);
printf("tttt%c",Qd);
for (i=1;i<84;i++)
printf("%c",Qb);
printf("%cn",Qe);
MessageInputDataTEXT();
printf("t Length of rigid element: %fn",Import_Data[0]);
printf("t Spring length 1: %fn",Import_Data[1]);
printf("t Spring length 2: %fn",Import_Data[2]);
printf("t Spring area 1: %fn",Import_Data[3]);
printf("t Spring area 2: %fn",Import_Data[4]);
printf("t External applied load in spring 1: %fn",Import_Data[5]);
printf("t External applied load in spring 2: %fn",Import_Data[6]);
printf("t Initial applied displacement: %fn",Import_Data[7]);
printf("t Distance of spring 1 from rigid element: %fn",Import_Data[8]);
printf("t Ultimate absolute displacement: %fn",Import_Data[9]);
printf("t Number of increments: %dn",n);
}
void MessageStrainStressTEXT(double STRAIN01[],double STRESS01[],double STRAIN02[],double STRESS02[],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<77;i++)
printf("%c",Qb);
printf("%cn",Qc);
printf(" %c Spring 1 | Spring 2 %cn",Qf,Qf);
printf(" %c Strain Stress | Strain Stress %cn",Qf,Qf);
printf(" %c",Qd);
for (i=1;i<77;i++)
printf("%c",Qb);
printf("%cn",Qe);
for(i=0;i<n;i++)
printf(" %e %e %e %en",STRAIN01[i],STRESS01[i],STRAIN02[i],STRESS02[i]);
}
double Horizental_Disp(double L,double &x,double y){
int it,itermax;
double residual,tolerance,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 + y*y - 2*L*x;
df = 2*x - 2*L;
dx = f/df;
x -= dx;
residual = ABS(dx); // abs residual
it = it + 1; // increment iteration count
//printf("f: %f -tdx: %f -tresidual: %fn",f,dx,residual);

3. if (it == itermax){
printf("tSQRT2(number,power) : SQRT2(%f) - iteration: %d -> ## The solution is not converged ##n",y,it);
break;
}
}
if (it < itermax){
//printf("tSQRT(number,power) - SQRT(%f,%f) : %f n",D,n, x);
return x;
}
}
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-8;
x = 1;// initialize answer
while (residual > tolerance){
f = x*x - D;
df = 2 * x;
dx = f/df;
x -= dx;
residual = ABS(dx); // abs residual
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;
}
}
Plot :
Figure(1) Analysis file

4. Figure(2) Input csv file

5. Figure(3) Input Strain-Stress properties csv file

6. Figure(4) Output csv file