Why won't this Calculation Work?
Mar 1, 2012 at 2:48pm UTC
Hi,
I'm fairly new to programming, and this is my first piece of code beyond drawing pretty patterns in dxf files!
I'm having trouble with line 132 (and probably 134 too). Basically where it calculates F[n][m] the calculation is not executing correctly. e.g. F[1][1]=C[1][1]*K[1], as C[1][1]=0.000169 and K[1]=0.0121 I expect to get F[1][1] in the region of 2e-6 but instead Xcode outputs the result as 1.176e-313!
Can anybody see the problem?
Thanks,
Beth
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// Created by Elizabeth Hill on 29/02/2012.
// Copyright (c) 2012 Elizabeth Hill. All rights reserved.
#include <iostream>
#include <cmath>
#include <stdlib.h>
#include <fstream>
#include <string>
#define Q 0.0027
#define t 0.00025
#define T 60
#define lmax 0.02
#define g 9.81
using namespace std;
int Wave(double TipPen)
{
double NewTipPen;
// SOIL PROFILE
int d=2;
double Xud[d];
double Rsud[d];
double Rpud[d];
Xud[1]=0; // Depth
Rsud[1]=120000; // Skin Friction
Rpud[1]=300000; // End Bearing
Xud[2]=3; // Depth
Rsud[2]=120000; // Skin Friction
Rpud[2]=300000; // End Bearing
// DAMPENING
double J1; // Toe
double J2; // Skin
J2=0.15;
J1=0.05;
// DEFINE PILE SECTIONS
int m; // Unit
int p; // Total number of units in Analysis
p=7;
double L[p];
double A[p];
double P[p];
double I[p];
double E[p];
double Rho[p];
double W[p];
double K[p];
for (m=3; m<=p; m++) {
L[m]=0.02;
A[m]=0.01;
P[m]=0.4;
I[m]=0.000008333;
E[m]=200000000000;
Rho[m]=7750;
W[m]=Rho[m]*A[m]*L[m]*g;
K[m]=E[m]*A[m]/L[m];
}
// HAMMER PROPERTIES
double HammerMass;
double h;
double eff;
double eta;
h=2;
HammerMass=17.5;
W[1]=HammerMass*g;
eff=0.9;
eta=eff/100;
L[1]=0.1;
A[1]=0.01;
I[1]=0.000008333;
E[1]=200000000000;
// CAPBLOCK PROPERTIES
double CapblockMass;
CapblockMass=0.2;
W[2]=CapblockMass*g;
L[2]=0.1;
A[2]=0.01;
I[2]=0.000008333;
E[2]=13000000000;
K[2]=(L[2]/(E[2]*A[2]))+(L[3]/(E[3]*A[3])); // Kirchhoff's law
// COEFFICIENTS OF RESTITUTION
double e1;
double e2;
e1=0.5;
e2=0.5;
int n;
double X[T][p];
double D[T][p];
double Dsoil[T][p];
double Ksoil[T][p];
double C[T][p];
double F[T][p];
double Ru[T][p];
double R[T][p];
double V[T][p];
// Accelerate the ram
V[0][1]=eta*sqrt(2*h*g);
for (n=1; n<=T; n++) {
for (m=1; m<=p; m++) {
// DEFLECTIONS - STEP I
D[n][m]=D[n-1][m]+(V[n-1][m]*12*t);
// Define Depth Below Mudline
X[n][m]=D[n][m]+TipPen;
// Define ULTIMATE Tip Soil Resistance
if (m==p) {
if (X[n][m]<Xud[2] and X[n][m]>=Xud[1]) {
Ru[n][m]=((((Rpud[2]-Rpud[1])/(Xud[2]-Xud[1]))*(X[n][m]+Xud[1]))+Rpud[1])*A[m];
}
} else {
// Define ULTIMATE Skin Resistance
if (X[n][m]<Xud[2] and X[n][m]>=Xud[1]) {
Ru[n][m]=((((Rsud[2]-Rsud[1])/(Xud[2]-Xud[1]))*(X[n][m]+Xud[1]))+Rsud[1])*L[m]*P[m];
}
}
}
// DEFINE SOIL DEFLECTIONS - STEP II
if (D[n][m]>Q) {
if (D[n][m]>D[n-1][m]) {
Dsoil[n][m]=D[n][m]-Q;
} else {
Dsoil[n][m]=Dsoil[n-1][m];
NewTipPen=Dsoil[n][m];
return NewTipPen;
}
} else {
Dsoil[n][m]=0;
}
// SOIL DEFLECTIONS - STEP III
R[n][p]=(D[n][p]-Dsoil[n][p])*Ksoil[n][p]*(1+(J1*V[n-1][p]));
// COMPRESSIONS - STEP IV
for (m=1; m<p; m++) {
C[n][m]=D[n][m]-D[n][m+1];
}
// FORCE IN RAM - STEP V
F[n][1]=C[n][1]*K[1]; // Calculation Not Executing Properly
// FORCE IN CAPBLOCK - STEP VI
F[n][2]=C[n][2]*K[2];
for (m=3; m<=p; m++) {
// FORCES IN PILE - STEP VII
F[n][m]=C[n][m]*K[m];
// SKIN RESISTANCE ON PILE - STEP VIII
R[n][m]=(D[n][m]-Dsoil[n][m])*Ksoil[n][m]*(1+(J2*V[n-1][m]));
}
// VELOCITIES - STEP IX
for (m=1; m<=p; m++) {
V[n][m]=V[n-1][m]+((F[n][m-1]-F[n][m]-R[n][m])*(t*g/W[m]));
}
}
// Proof F[1][1] Calc isn't executing properly
cout << "F[1][1]=" << F[1][1] << "\n" ;
cout << "C[1][1]=" << C[1][1] << "\n" ;
cout << "K[1]=" << K[1] << "\n" ;
cout << "C[1][1]*K[1]=" << C[1][1]*K[1] << "\n\n" ;
ofstream WaveCheck("/Users/Folder/Wave Equation/WaveCheck.txt" );
WaveCheck << "Iteration\t" << "Time\t" ;
for (m=1; m<=p; m++) {
WaveCheck << "Displacement[" << m << "]\t" << "Velocity[" << m << "]\t" ;
}
WaveCheck << "Force in Ram\t" << "Force in Capblock\n" << "(-)\t" << "(s)\t" ;
for (m=1; m<=p; m++) {
WaveCheck << "(m)\t" << "(m/s)\t" ;
}
WaveCheck << "N\t" << "N\n" ;
for (n=1; n<=T; n++) {
WaveCheck << n << "\t" ;
WaveCheck << n*t << "\t" ;
for (m=1; m<=p; m++) {
WaveCheck << D[n][m] << "\t" ;
WaveCheck << V[n-1][m] << "\t" ;
}
WaveCheck << F[n][1] << "\t" ;
WaveCheck << F[n][2] << "\n" ;
}
WaveCheck.close();
return 0;
}
int main(int argc, const char * argv[])
{
int a; // Depth Iteration
int b; // Total Number of Depths
double d; // Size of Depth iterations
d=0.002;
b=2;
double Pen[b]; // Pen Caused by one blow
double z[b]; // Depth Below Mudline
double Bl_Ct[b]; // Blows per m
ofstream Results("/Users/Folder/Results.txt" );
Results << "Depth" << "\t" << "Bl_Ct" << "\n" ;
Results << "(meters)" << "\t" << "(-)" << "\n" ;
// Blow vs Deformation Table
for (a=1; a<=b; a++) {
// Depth for each blow
z[a]=d*a;
Pen[a]=Wave(z[a]);
// Blows per Meter
Bl_Ct[a]=1/Pen[a];
Results << z[a] << "\t" << Bl_Ct[a] << "\n" ;
cout << Pen[a] << "\t" ;
cout << Bl_Ct[a] << "\n" ;
}
Results.close();
return 0;
}
Mar 1, 2012 at 3:01pm UTC
I'm guessing you're referring to lines 189 & 193.
The step before it (181->185) is changing C. Are you sure you're still using the correct values to check your calculation?
It might be a good idea to simply print all numbers involved right before/after the calculation.
Mar 1, 2012 at 3:11pm UTC
You should be examining the values involved at the point of calculation. Looking at them much later only tells you what they are much later.
Examine the value of K[1] at line 189.
Mar 1, 2012 at 3:13pm UTC
I ran this on VC++ and K[1] is -9.2559631349317831e+061 and K[2] is 7.7923076923076920e-010.
It looks like K[1] never gets initialized.
Last edited on Mar 1, 2012 at 3:15pm UTC
Mar 1, 2012 at 3:16pm UTC
Thanks I have it now, it was the K[1].
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