/// <summary>
/// Prohl matrix methord host
/// </summary>
/// <param name="impellerInput">Input impeller</param>
/// <param name="state">Some settings and states</param>
/// <returns>Impeller with calculated data</returns>
public Impeller Prohl(Impeller impellerInput, ProhlState state)
{
var impeller = new Impeller(impellerInput);
var freqPoints = new Dictionary<double,int>();
int mainLoopCount = 0;
state.Omega = state.CheckFromOmega;
state.residualMoment = 0;
if (state.Omega > state.CheckToOmega)
{
ProhlCalculator(impeller, state);
}
else
{
int anchorSign; //store the residualMoment sign
double anchor; //store the freq
double determinantAnchor; //store the residualMoment
double freqPoint;
while (state.Omega <= state.CheckToOmega && mainLoopCount++ < impeller.MaxProhlSearchCount)
{
//search the frequency point
anchorSign = Math.Sign(state.residualMoment);
ProhlCalculator(impeller, state);
if (Math.Sign(state.residualMoment) * anchorSign < 0)
{
anchor = state.Omega;
determinantAnchor = state.residualMoment;
//find freq point
freqPoint = ProhlFound(impeller, state);
if (impeller.VibrationFrequency.IndexOf(freqPoint) < 0)
{
impeller.VibrationFrequency.Add(freqPoint);
freqPoints.Add(freqPoint, impeller.IterationCount);
}
state.Omega = anchor + state.ProhlStep;
state.residualMoment = determinantAnchor;
if (ProhlOmega_Changed != null)
{
ProhlOmega_Changed(impeller, state);
//System.Windows.MessageBox.Show("");
}
}
else
{
state.Omega += state.ProhlStep;
if (ProhlOmega_Changed != null)
{
ProhlOmega_Changed(impeller, state);
//System.Windows.MessageBox.Show("");
}
}
}
}
impeller.VibrationFrequency = new List<double>();
foreach( var freqPoint in freqPoints){
impeller.VibrationFrequency.Add(freqPoint.Key / (2 * Math.PI));
}
impeller.IterationCount = mainLoopCount;
return impeller;
}
/// <summary>
/// Impeller vibration frequency calculater with Prohl method
/// </summary>
/// <param name="impeller">Input impeller</param>
/// <param name="state">State object</param>
private void ProhlCalculator(Impeller impeller, ProhlState state)
{
#if TRACER
watch.Start();
#endif
// the non-zero numbers of root state vector
const int ROOT_STATE_VECTOR_SIZE = 2;
var transferMatrix = new Matrix(4, 4);
var residualMatrix = new Matrix(2, 2);
//vibration frequency order
var rootStateVector = new Matrix[2]{
new Matrix(
new double[][]{
new double[] {0},
new double[] {0},
new double[] {1},
new double[] {0}
}
),
new Matrix(
new double[][]{
new double[] {0},
new double[] {0},
new double[] {0},
new double[] {1}
}
)
};
//section transfer matrix and hole transfer matrix(from root to end)
var sectionTransferMatrix = new Matrix(
new double[][]{
new double[] {1,1,1,1},
new double[] {0,1,1,1},
new double[] {0,0,1,1},
new double[] {1,1,1,1}
}
);
#if TRACER
long step1 = watch.ElapsedTicks;
#endif
double freq2 = state.Omega * state.Omega;
for (var j = 0; j < ROOT_STATE_VECTOR_SIZE; j++)
{
for (var i = 0; i < impeller.MSections.Count; i++)
{
double L = (i == 0 ? impeller.MSections[0].Position
: impeller.MSections[i].Position - impeller.MSections[i - 1].Position);
//L_EJ = L / EJ
double L_EJ = L / (impeller.E * impeller.MSections[i].InertiaMoment);
double m = impeller.MSections[i].Mass;
//freq2xm = freq2
double freq2xm = freq2 * m;
sectionTransferMatrix[3, 0] = freq2xm;
sectionTransferMatrix[0, 1] = L;
sectionTransferMatrix[3, 1] = freq2xm * L;
sectionTransferMatrix[0, 2] = L * L_EJ / 2;
sectionTransferMatrix[1, 2] = L_EJ;
sectionTransferMatrix[3, 2] = freq2xm * L * L_EJ / 2;
sectionTransferMatrix[0, 3] = L * L * L_EJ / 6;
sectionTransferMatrix[1, 3] = L * L_EJ / 2;
sectionTransferMatrix[2, 3] = L;
sectionTransferMatrix[3, 3] = 1 + freq2xm * L * L * L_EJ / 6;
transferMatrix = (i == 0 ? sectionTransferMatrix.Clone()
: sectionTransferMatrix.Multiply(transferMatrix));
}
state.TransferMatrix = transferMatrix;
state.StateVector = transferMatrix.Multiply(rootStateVector[j]);
for (var i = 0; i < state.EndStateVector.RowCount; i++)
{
if (state.EndStateVector[i, 0] == 0 )
{
if (residualMatrix[0, j] == 0)
{
residualMatrix[0, j] = state.StateVector[i, 0];
continue;
}
residualMatrix[1, j] = state.StateVector[i, 0];
break;
}
}
}
#if TRACER
long step2 = watch.ElapsedTicks;
watch.Reset();
System.Windows.MessageBox.Show(
"Run time" +
"\nstep1: " + step1 +
"\nstep2: " + (step2 - step1)
);
#endif
state.residualMoment = residualMatrix.Determinant();
}
/// <summary>
/// Iteration frequency founder
/// </summary>
/// <param name="impeller">Input impeller</param>
/// <param name="state">State object</param>
private double ProhlFound(Impeller impeller, ProhlState state)
{
int searchCount = 0;
double step = state.ProhlStep;
int jumpSign = Math.Sign(state.residualMoment);
int landSign = jumpSign;
int direction = -1; // -1 = backwards , 1 = forwards
while (step > impeller.MinStepDiff && searchCount < impeller.MaxProhlOmegaSearchCount)
{
step /= 2;
state.Omega += direction * step;
//caculate transfer matrix and residual moment
ProhlCalculator(impeller, state);
landSign = Math.Sign(state.residualMoment);
if (jumpSign != landSign)
{
direction *= -1;
jumpSign = landSign;
}
searchCount++;
}
impeller.IterationCount = searchCount;
state.TempOmegaPoint = state.Omega;
return state.Omega;
}
private void ShowProgressBar(Impeller impeller, ProhlState state)
{
progressBar.Dispatcher.Invoke(new Action(() =>
{
progressBar.Value = state.Omega;
}), System.Windows.Threading.DispatcherPriority.ContextIdle);
}