public void ThreeNodeSimplySupportedBeam() //TODO verify results using independent check
{
FiniteElementModel model = new FiniteElementModel(ModelType.Frame2D);
FiniteElementNode node1 = model.NodeFactory.CreateFor2DTruss(0, 0);
model.ConstrainNode(node1, DegreeOfFreedom.X);
model.ConstrainNode(node1, DegreeOfFreedom.Z);
FiniteElementNode node2 = model.NodeFactory.CreateFor2DTruss(1, 0);
FiniteElementNode node3 = model.NodeFactory.CreateFor2DTruss(2, 0);
model.ConstrainNode(node3, DegreeOfFreedom.Z);
IMaterial material = new GenericElasticMaterial(0, 10000000000, 0, 0);
ICrossSection section = new GenericCrossSection(0.0001, 0.0002);
model.ElementFactory.CreateLinear1DBeam(node1, node2, material, section);
model.ElementFactory.CreateLinear1DBeam(node2, node3, material, section);
ForceVector force = model.ForceFactory.Create(0, 0, -10000, 0, 0, 0);
model.ApplyForceToNode(force, node2);
IFiniteElementSolver solver = new MatrixInversionLinearSolver(model);
Stiffness.GlobalModelStiffnessMatrixBuilder gmsmb = new SharpFE.Stiffness.GlobalModelStiffnessMatrixBuilder(model);
Console.WriteLine(gmsmb.BuildKnownForcesUnknownDisplacementStiffnessMatrix());
FiniteElementResults results = solver.Solve();
DisplacementVector node1Displacement = results.GetDisplacement(node1);
Console.WriteLine("node1Displacement : " + node1Displacement);
DisplacementVector node2Displacement = results.GetDisplacement(node2);
Console.WriteLine("node2Displacement : " + node2Displacement);
DisplacementVector node3Displacement = results.GetDisplacement(node3);
Console.WriteLine("node3Displacement : " + node3Displacement);
ReactionVector node1Reaction = results.GetReaction(node1);
Console.WriteLine("node1Reaction : " + node1Reaction);
ReactionVector node3Reaction = results.GetReaction(node3);
Console.WriteLine("node5Reaction : " + node3Reaction);
Assert.AreEqual(-0.000833333, node2Displacement.Z, 0.0000001);
Assert.AreEqual(5000, node1Reaction.Z, 0.001);
Assert.AreEqual(5000, node3Reaction.Z, 0.001);
Assert.AreEqual(0, node2Displacement.YY, 0.0001);
Assert.AreEqual(0.00125, node1Displacement.YY, 0.0000001);
Assert.AreEqual(-0.00125, node3Displacement.YY, 0.0000001);
}
public void ThreeNodeSimplySupportedBeam()
{
FiniteElementModel model = new FiniteElementModel(ModelType.Full3D);
FiniteElementNode node1 = model.NodeFactory.Create(0, 0, 0);
model.ConstrainNode(node1, DegreeOfFreedom.X);
model.ConstrainNode(node1, DegreeOfFreedom.Y);
model.ConstrainNode(node1, DegreeOfFreedom.Z);
model.ConstrainNode(node1, DegreeOfFreedom.XX);
FiniteElementNode node2 = model.NodeFactory.Create(1, 0, 0);
FiniteElementNode node3 = model.NodeFactory.Create(2, 0, 0);
model.ConstrainNode(node3, DegreeOfFreedom.X);
model.ConstrainNode(node3, DegreeOfFreedom.Y);
model.ConstrainNode(node3, DegreeOfFreedom.Z);
model.ConstrainNode(node3, DegreeOfFreedom.XX);
IMaterial material = new GenericElasticMaterial(0, 10000000000, 0, 84000000000);
ICrossSection section = new GenericCrossSection(0.0001, 0.0002, 0.0002, 0.00005);
model.ElementFactory.CreateLinear3DBeam(node1, node2, material, section);
model.ElementFactory.CreateLinear3DBeam(node2,node3,material,section);
ForceVector force = model.ForceFactory.Create(0, 0, -10000, 0, 0, 0);
model.ApplyForceToNode(force, node2);
IFiniteElementSolver solver = new MatrixInversionLinearSolver(model);
Stiffness.GlobalModelStiffnessMatrixBuilder gmsmb = new SharpFE.Stiffness.GlobalModelStiffnessMatrixBuilder(model);
Console.WriteLine(gmsmb.BuildKnownForcesUnknownDisplacementStiffnessMatrix());
FiniteElementResults results = solver.Solve();
DisplacementVector node1Displacement = results.GetDisplacement(node1);
Console.WriteLine("node1Displacement : " + node1Displacement);
DisplacementVector node2Displacement = results.GetDisplacement(node2);
Console.WriteLine("node2Displacement : " + node2Displacement);
DisplacementVector node3Displacement = results.GetDisplacement(node3);
Console.WriteLine("node3Displacement : " + node3Displacement);
ReactionVector node1Reaction = results.GetReaction(node1);
Console.WriteLine("node1Reaction : " + node1Reaction);
ReactionVector node3Reaction = results.GetReaction(node3);
Console.WriteLine("node5Reaction : " + node3Reaction);
Assert.AreEqual(-0.000833333, node2Displacement.Z, 0.0000001);
Assert.AreEqual(5000, node1Reaction.Z, 0.001);
Assert.AreEqual(5000, node3Reaction.Z, 0.001);
Assert.AreEqual(0, node2Displacement.YY, 0.0001);
Assert.AreEqual( 0.00125, node1Displacement.YY, 0.0000001);
Assert.AreEqual(-0.00125, node3Displacement.YY, 0.0000001);
}
public void ThreeNodeBeam()
{
FiniteElementModel model = new FiniteElementModel(ModelType.Full3D);
FiniteElementNode node1 = model.NodeFactory.Create(0, 0, 0);
model.ConstrainNode(node1, DegreeOfFreedom.X);
model.ConstrainNode(node1, DegreeOfFreedom.Y);
model.ConstrainNode(node1, DegreeOfFreedom.Z);
model.ConstrainNode(node1, DegreeOfFreedom.XX);
FiniteElementNode node2 = model.NodeFactory.Create(1, 0, 0);
model.ConstrainNode(node2, DegreeOfFreedom.Y);
FiniteElementNode node3 = model.NodeFactory.Create(2, 0, 0);
model.ConstrainNode(node3, DegreeOfFreedom.Y);
model.ConstrainNode(node3, DegreeOfFreedom.Z);
IMaterial material = new GenericElasticMaterial(0, 10000000000, 0.3, 1000000000);
ICrossSection section = new SolidRectangle(1, 1);
model.ElementFactory.CreateLinear3DBeam(node1, node2, material, section);
model.ElementFactory.CreateLinear3DBeam(node2, node3, material, section);
ForceVector force = model.ForceFactory.Create(0, 0, -10000, 0, 0, 0);
model.ApplyForceToNode(force, node2);
IFiniteElementSolver solver = new MatrixInversionLinearSolver(model);
Stiffness.GlobalModelStiffnessMatrixBuilder gmsmb = new SharpFE.Stiffness.GlobalModelStiffnessMatrixBuilder(model);
Console.WriteLine(gmsmb.BuildKnownForcesUnknownDisplacementStiffnessMatrix());
FiniteElementResults results = solver.Solve();
DisplacementVector node1Displacement = results.GetDisplacement(node1);
Console.WriteLine("node1Displacement : \n" + node1Displacement);
DisplacementVector node2Displacement = results.GetDisplacement(node2);
Console.WriteLine("node2Displacement : \n" + node2Displacement);
DisplacementVector node3Displacement = results.GetDisplacement(node3);
Console.WriteLine("node3Displacement : \n" + node3Displacement);
ReactionVector node1Reaction = results.GetReaction(node1);
Console.WriteLine("node1Reaction : \n" + node1Reaction);
ReactionVector node3Reaction = results.GetReaction(node3);
Console.WriteLine("node5Reaction : \n" + node3Reaction);
Assert.AreEqual(0, node2Displacement.XX, 0.00001);
Assert.AreEqual(0, node2Displacement.Y, 0.00001);
Assert.AreEqual(0, node2Displacement.ZZ, 0.0001);
Assert.AreEqual(-0.000002, node2Displacement.Z, 0.0000001);
Assert.AreEqual(5000, node1Reaction.Z, 0.00001);
Assert.AreEqual(5000, node3Reaction.Z, 0.00001);
Assert.AreEqual(0, node2Displacement.YY, 0.0001);
Assert.AreEqual(0.000003, node1Displacement.YY, 0.0000001);
Assert.AreEqual(-0.000003, node3Displacement.YY, 0.0000001);
}