private void FileOpen2dClicked(object sender, RoutedEventArgs e)
{
// 初期化
ClearClicked(null, null);
// 入力用のCSVファイルを読み込む
var diag = new OpenFileDialog();
diag.Filter = "CSVファイル (*.csv)|*.csv";
if (diag.ShowDialog() == true)
{
FEMData2d femData = new FEMData2d();
femData.ReadCSVFile2d(diag.FileName);
fem = new Shell2dFEM(femData);
// モデルを描画する
var elems = fem.Elems;
for (int i = 0; i < elems.Count; i++)
{
var elem = elems[i].ShallowCopy(); // 要素をコピーする
// 描画する
DrawShell2dElement((Shell2dElement)elems[i], Brushes.LightGreen, Brushes.Blue, 1.0);
}
}
}
public Shell2dFEM(FEMData2d data)
{
// 節点数を格納する
NodeNum = data.nodes.Count;
// 要素の形式を変換して格納する
Elems = new List <FEM_Element>();
{
for (int i = 0; i < data.elems.Count; i++)
{
Node[] nodes = new Node[ElementNodeNum];
nodes[0].No = data.elems[i].NodeNo1;
nodes[0].Point = data.nodes[nodes[0].No - 1].Point;
nodes[1].No = data.elems[i].NodeNo2;
nodes[1].Point = data.nodes[nodes[1].No - 1].Point;
nodes[2].No = data.elems[i].NodeNo3;
nodes[2].Point = data.nodes[nodes[2].No - 1].Point;
nodes[3].No = data.elems[i].NodeNo4;
nodes[3].Point = data.nodes[nodes[3].No - 1].Point;
nodes[4].No = data.elems[i].NodeNo5;
nodes[4].Point = data.nodes[nodes[4].No - 1].Point;
nodes[5].No = data.elems[i].NodeNo6;
nodes[5].Point = data.nodes[nodes[5].No - 1].Point;
nodes[6].No = data.elems[i].NodeNo7;
nodes[6].Point = data.nodes[nodes[6].No - 1].Point;
nodes[7].No = data.elems[i].NodeNo8;
nodes[7].Point = data.nodes[nodes[7].No - 1].Point;
int materialNo = data.elems[i].MaterialNo - 1;
double young = data.materials[materialNo].Young;
double poisson = data.materials[materialNo].Poisson;
double thickness = data.materials[materialNo].Thickness;
Elems.Add(new Shell2dElement(nodes, thickness, young, poisson));
}
}
// 拘束条件の形式を変換して格納する
// 変位
List <double> disp = new List <double>();
List <double> force = new List <double>();
List <bool> constraint = new List <bool>();
for (int i = 0; i < data.nodes.Count; i++)
{
disp.Add(data.nodes[i].Displacement.X);
disp.Add(data.nodes[i].Displacement.Y);
force.Add(data.nodes[i].Force.X);
force.Add(data.nodes[i].Force.Y);
constraint.Add(data.nodes[i].ConstraintX);
constraint.Add(data.nodes[i].ConstraintY);
}
DenseVector dispVector = DenseVector.OfArray(disp.ToArray());
DenseVector forceVector = DenseVector.OfArray(force.ToArray());
setBoundaryCondition(dispVector, forceVector, constraint);
}
public override void Analysis()
{
DenseMatrix kMatrix = makeKMatrix();
// 変位を計算する
DispVector = (DenseVector)(kMatrix.Inverse().Multiply(ForceVector));
Console.WriteLine("変位ベクトル");
Console.WriteLine(DispVector);
// 各要素の変位、応力ベクトルを計算する
DenseVector dispElemVector = DenseVector.Create(16, 0.0);
for (int i = 0; i < Elems.Count; i++)
{
for (int j = 0; j < 8; j++)
{
dispElemVector[2 * j] = DispVector[2 * (Elems[i].Nodes[j].No - 1)];
dispElemVector[2 * j + 1] = DispVector[2 * (Elems[i].Nodes[j].No - 1) + 1];
}
Console.WriteLine("要素" + (i + 1).ToString());
Elems[i].makeStrainVector(dispElemVector);
Elems[i].makeStressVector();
// 線形外挿法により各要素の節点応力を求める
Elems[i].makeNodeStressVector();
}
// 各節点の結果を算出する
List <ResultNode> resultNodes = new List <ResultNode>();
for (int i = 0; i < NodeNum; i++)
{
// 節点応力を計算する
ResultNode resultNode = new ResultNode();
resultNode.StressVector = DenseVector.Create(3, 0.0);
int NodeCount = 0;
for (int j = 0; j < Elems.Count; j++)
{
for (int k = 0; k < 8; k++)
{
if (Elems[j].Nodes[k].No == (i + 1))
{
resultNode.StressVector += Elems[j].NodeStressVector[k];
NodeCount++;
}
}
}
resultNode.StressVector /= (double)NodeCount;
// 変位を格納する
System.Windows.Vector displacement = new System.Windows.Vector();
displacement.X = DispVector[2 * i];
displacement.Y = DispVector[2 * i + 1];
resultNode.Displacement = displacement;
// 主応力、ミーゼス応力を計算する
resultNode.PriStressVector = makePriStress(resultNode.StressVector);
resultNode.MisesStress = makeMisesStress(resultNode.PriStressVector);
resultNodes.Add(resultNode);
}
// 結果を「output_quad8.csv」で出力する
FEMData2d data = new FEMData2d();
data.resultnodes = resultNodes;
data.WriteCSVFile("output_quad8.csv");
for (int i = 0; i < NodeNum; i++)
{
Console.WriteLine("節点" + (i + 1).ToString());
Console.WriteLine("節点応力ベクトル");
Console.WriteLine(resultNodes[i].StressVector);
Console.WriteLine("節点変位ベクトル");
Console.WriteLine(resultNodes[i].Displacement + "\n");
Console.WriteLine("主応力");
Console.WriteLine(resultNodes[i].PriStressVector);
Console.WriteLine("ミーゼス応力");
Console.WriteLine(resultNodes[i].MisesStress + "\n");
}
}