/// <summary>
/// Divides the given frame into given number of pieces.
/// </summary>
public void DivideFrame(Frame f, int n)
{
Node n1 = f.NodeI;
Node n2 = f.NodeJ;
double xStep = (n2.X - n1.X) / (double)n;
double zStep = (n2.Z - n1.Z) / (double)n;
Node[] nodes = new Node[n + 1];
nodes[0] = n1;
nodes[nodes.Length - 1] = n2;
double x = n1.X + xStep;
double z = n1.Z + zStep;
for (int i = 0; i < n - 1; i++)
{
nodes[i + 1] = AddNode(x, z);
x += xStep;
z += zStep;
}
Frames.Remove(f);
for (int i = 0; i < n; i++)
{
Frame newFrame = AddFrame(f.Section, nodes[i], nodes[i + 1]);
// Transfer loads
// Uniform loads
foreach (FrameLoad masterLoad in f.Loads.FindAll((e) => e is FrameUniformLoad))
{
FrameUniformLoad masterUniformLoad = masterLoad as FrameUniformLoad;
newFrame.AddUniformLoad(masterUniformLoad.AnalysisCase, masterUniformLoad.FX, masterUniformLoad.FZ);
}
// Trapezoidal loads
foreach (FrameLoad masterLoad in f.Loads.FindAll((e) => e is FrameTrapezoidalLoad))
{
FrameTrapezoidalLoad masterTrapezoidalLoad = masterLoad as FrameTrapezoidalLoad;
double mxi = masterTrapezoidalLoad.FXI;
double mzi = masterTrapezoidalLoad.FZI;
double mxj = masterTrapezoidalLoad.FXJ;
double mzj = masterTrapezoidalLoad.FZJ;
double xTotal = f.Length;
double xStart = newFrame.NodeI.DistanceTo(f.NodeI);
double xEnd = newFrame.NodeJ.DistanceTo(f.NodeI);
double fxi = xStart / xTotal * (mxj - mxi) + mxi;
double fzi = xStart / xTotal * (mzj - mzi) + mzi;
double fxj = xEnd / xTotal * (mxj - mxi) + mxi;
double fzj = xEnd / xTotal * (mzj - mzi) + mzi;
newFrame.AddTrapezoidalLoad(masterTrapezoidalLoad.AnalysisCase, fxi, fzi, fxj, fzj);
}
}
}
/// <summary>
/// Returns the load vector for the given load case.
/// </summary>
private Vector <double> GetLoadVector(AnalysisCase analysisCase)
{
Vector <double> p = Vector <double> .Build.Dense(nodes.Count * 3, 0);
// Node loads
foreach (Node node in nodes)
{
foreach (NodeLoad load in node.Loads.FindAll((e) => e.AnalysisCase == analysisCase))
{
if (load is NodePointLoad)
{
// Applied point loads
NodePointLoad pl = (NodePointLoad)load;
int i = node.Index;
p[i * 3 + 0] += pl.FX;
p[i * 3 + 1] += pl.FZ;
p[i * 3 + 2] += pl.MY;
}
}
}
// Frame loads
foreach (Frame frame in Frames)
{
double l = frame.Length;
int i = frame.NodeI.Index;
int j = frame.NodeJ.Index;
foreach (FrameLoad load in frame.Loads.FindAll((e) => e.AnalysisCase == analysisCase))
{
if (load is FrameUniformLoad)
{
// Frame fixed-end reactions from frame uniform loads
FrameUniformLoad pl = (FrameUniformLoad)load;
double fx = pl.FX * l / 2.0;
double fz = pl.FZ * l / 2.0;
p[i * 3 + 0] += fx;
p[i * 3 + 1] += fz;
p[i * 3 + 2] += 0; // End moment
p[j * 3 + 0] += fx;
p[j * 3 + 1] += fz;
p[j * 3 + 2] += 0; // End moment
}
else if (load is FrameTrapezoidalLoad)
{
// Frame fixed-end reactions from frame trapezoidal loads
FrameTrapezoidalLoad pl = (FrameTrapezoidalLoad)load;
double fx = (pl.FXI + pl.FXJ) / 2.0 * l / 2.0;
double fz = (pl.FZI + pl.FZJ) / 2.0 * l / 2.0;
p[i * 3 + 0] += fx;
p[i * 3 + 1] += fz;
p[i * 3 + 2] += 0; // End moment
p[j * 3 + 0] += fx;
p[j * 3 + 1] += fz;
p[j * 3 + 2] += 0; // End moment
}
}
}
// Set restrained node coefficients to 0
foreach (Node n in nodes)
{
if ((n.Restraints & DOF.UX) != DOF.Free)
{
p[n.Index * 3 + 0] = 0;
}
if ((n.Restraints & DOF.UZ) != DOF.Free)
{
p[n.Index * 3 + 1] = 0;
}
if ((n.Restraints & DOF.RY) != DOF.Free)
{
p[n.Index * 3 + 2] = 0;
}
}
return(p);
}
