public void ContinuumElement3DNonLinearVonMisesMaterialDynamicConsistent()
{
IList <Node> nodes = new List <Node>();
// Create Model
var model = new Model();
// Create Subdomain
model.SubdomainsDictionary.Add(subdomainID, new Subdomain(subdomainID));
// Create von Mises Plastic Material
var solidMaterial = new VonMisesMaterial3D(youngModulus, poissonRatio, yieldStress, plasticModulus);
// Create Dynamic Material
var dynamicMaterial = new DynamicMaterial(density, 0, 0, true);
DefineContinuumElement3DNonLinear(model, solidMaterial, dynamicMaterial);
BoundaryConditionsNLM(model);
// Choose linear equation system solver
var solverBuilder = new SkylineSolver.Builder();
SkylineSolver solver = solverBuilder.BuildSolver(model);
// Choose the provider of the problem -> here a structural problem
var provider = new ProblemStructural(model, solver);
// Choose child analyzer -> Child: NewtonRaphson - LoadControl
var subdomainUpdaters = new[] { new NonLinearSubdomainUpdater(model.SubdomainsDictionary[subdomainID]) };
var childAnalyzerBuilder = new LoadControlAnalyzer.Builder(model, solver, provider, increments)
{
MaxIterationsPerIncrement = 50,
NumIterationsForMatrixRebuild = 1,
ResidualTolerance = 1E-06,
};
var childAnalyzer = childAnalyzerBuilder.Build();
// Choose parent analyzer -> Parent: Static
var parentAnalyzerBuilder = new NewmarkDynamicAnalyzer.Builder(model, solver, provider, childAnalyzer, 1.0, 100.0);
parentAnalyzerBuilder.SetNewmarkParametersForConstantAcceleration();
NewmarkDynamicAnalyzer parentAnalyzer = parentAnalyzerBuilder.Build();
// Request output
childAnalyzer.LogFactories[subdomainID] = new LinearAnalyzerLogFactory(new int[] { monitorDof });
// Run the analysis
parentAnalyzer.Initialize();
parentAnalyzer.Solve();
// Check output
DOFSLog log = (DOFSLog)childAnalyzer.Logs[subdomainID][0];
double computedValue = log.DOFValues[monitorDof];
double expectedValue = 1.93737;
Assert.Equal(expectedValue, computedValue, 2);
}
public void ContinuumElement3DElasticMaterialDynamicConsistent()
{
IList <Node> nodes = new List <Node>();
// Create Model
var model = new Model();
// Create Subdomain
model.SubdomainsDictionary.Add(subdomainID, new Subdomain(subdomainID));
// Create Elastic Material
var solidMaterial = new ElasticMaterial3D()
{
YoungModulus = youngModulus,
PoissonRatio = poissonRatio,
};
// Create Dynamic Material
var dynamicMaterial = new DynamicMaterial(density, 0, 0, true);
DefineContinuumElement3DLinear(model, solidMaterial, dynamicMaterial);
BoundaryConditions(model);
// Choose linear equation system solver
var solverBuilder = new SkylineSolver.Builder();
SkylineSolver solver = solverBuilder.BuildSolver(model);
// Choose the provider of the problem -> here a structural problem
var provider = new ProblemStructural(model, solver);
// Choose child analyzer -> Linear
var childAnalyzer = new LinearAnalyzer(model, solver, provider);
// Choose parent analyzer -> Parent: Static
var parentAnalyzerBuilder = new NewmarkDynamicAnalyzer.Builder(model, solver, provider, childAnalyzer, 1.0, 100.0);
parentAnalyzerBuilder.SetNewmarkParametersForConstantAcceleration();
NewmarkDynamicAnalyzer parentAnalyzer = parentAnalyzerBuilder.Build();
// Request output
childAnalyzer.LogFactories[subdomainID] = new LinearAnalyzerLogFactory(new int[] { monitorDof });
// Run the analysis
parentAnalyzer.Initialize();
parentAnalyzer.Solve();
// Check output
DOFSLog log = (DOFSLog)childAnalyzer.Logs[subdomainID][0];
double computedValue = log.DOFValues[monitorDof];
double expectedValue = 0.531178; // consistent: 0.531178 // lumped: 0.894201
Assert.Equal(expectedValue, computedValue, 3);
}
private static void SolveBuildingInNoSoilSmallDynamic()
{
var model = new Model();
model.SubdomainsDictionary.Add(subdomainID, new Subdomain(subdomainID));
BeamBuildingBuilder.MakeBeamBuilding(model, 20, 20, 20, 5, 4, model.NodesDictionary.Count + 1,
model.ElementsDictionary.Count + 1, subdomainID, 4, false, false);
// Solver
var solverBuilder = new SkylineSolver.Builder();
ISolver solver = solverBuilder.BuildSolver(model);
// Structural problem provider
var provider = new ProblemStructural(model, solver);
// Linear static analysis
var childAnalyzer = new LinearAnalyzer(model, solver, provider);
var parentAnalyzerBuilder = new NewmarkDynamicAnalyzer.Builder(model, solver, provider, childAnalyzer, 0.01, 0.1);
parentAnalyzerBuilder.SetNewmarkParametersForConstantAcceleration(); // Not necessary. This is the default
NewmarkDynamicAnalyzer parentAnalyzer = parentAnalyzerBuilder.Build();
// Request output
int monitorDof = 420;
childAnalyzer.LogFactories[subdomainID] = new LinearAnalyzerLogFactory(new int[] { monitorDof });
// Run the analysis
parentAnalyzer.Initialize();
parentAnalyzer.Solve();
// Write output
DOFSLog log = (DOFSLog)childAnalyzer.Logs[subdomainID][0]; //There is a list of logs for each subdomain and we want the first one
Console.WriteLine($"dof = {monitorDof}, u = {log.DOFValues[monitorDof]}");
//TODO: No loads have been defined so the result is bound to be 0.
}
private static void SolveBuildingInNoSoilSmallDynamic()
{
VectorExtensions.AssignTotalAffinityCount();
Model model = new Model();
model.SubdomainsDictionary.Add(1, new Subdomain()
{
ID = 1
});
BeamBuildingBuilder.MakeBeamBuilding(model, 20, 20, 20, 5, 4, model.NodesDictionary.Count + 1,
model.ElementsDictionary.Count + 1, 1, 4, false, false);
model.ConnectDataStructures();
SolverSkyline solver = new SolverSkyline(model);
ProblemStructural provider = new ProblemStructural(model, solver.SubdomainsDictionary);
LinearAnalyzer analyzer = new LinearAnalyzer(solver, solver.SubdomainsDictionary);
NewmarkDynamicAnalyzer parentAnalyzer = new NewmarkDynamicAnalyzer(provider, analyzer, solver.SubdomainsDictionary, 0.5, 0.25, 0.01, 0.1);
analyzer.LogFactories[1] = new LinearAnalyzerLogFactory(new int[] { 420 });
parentAnalyzer.BuildMatrices();
parentAnalyzer.Initialize();
parentAnalyzer.Solve();
}
public void LinearElasticBeam2DNewmarkDynamicAnalysisTest()
{
double youngModulus = 21000;
double poissonRatio = 0.3;
double area = 91.04;
double inertiaY = 2843.0;
double inertiaZ = 8091.0;
double density = 7.85;
double nodalLoad = 1000.0;
int totalNodes = 2;
var material = new ElasticMaterial()
{
YoungModulus = youngModulus,
PoissonRatio = poissonRatio,
};
// Node creation
IList <Node> nodes = new List <Node>();
Node node1 = new Node(id: 1, x: 0.0, y: 0.0, z: 0.0);
Node node2 = new Node(id: 2, x: 300.0, y: 0.0, z: 0.0);
nodes.Add(node1);
nodes.Add(node2);
// Model creation
Model model = new Model();
// Add a single subdomain to the model
model.SubdomainsDictionary.Add(1, new Subdomain(1));
// Add nodes to the nodes dictonary of the model
for (int i = 0; i < nodes.Count; ++i)
{
model.NodesDictionary.Add(i + 1, nodes[i]);
}
// Constrain bottom nodes of the model
model.NodesDictionary[1].Constraints.Add(new Constraint {
DOF = StructuralDof.TranslationX
});
model.NodesDictionary[1].Constraints.Add(new Constraint {
DOF = StructuralDof.TranslationY
});
model.NodesDictionary[1].Constraints.Add(new Constraint {
DOF = StructuralDof.RotationZ
});
// Create a new Beam2D element
var beam = new EulerBeam2D(youngModulus)
{
Density = density,
SectionArea = area,
MomentOfInertia = inertiaZ
};
var element = new Element()
{
ID = 1,
ElementType = beam
};
// Add nodes to the created element
element.AddNode(model.NodesDictionary[1]);
element.AddNode(model.NodesDictionary[2]);
// Element Stiffness Matrix
var a = beam.StiffnessMatrix(element);
var b = beam.MassMatrix(element);
// Add Hexa element to the element and subdomains dictionary of the model
model.ElementsDictionary.Add(element.ID, element);
model.SubdomainsDictionary[1].Elements.Add(element);
// define loads
model.Loads.Add(new Load {
Amount = nodalLoad, Node = model.NodesDictionary[totalNodes], DOF = StructuralDof.TranslationY
});
// Solver
var solverBuilder = new SkylineSolver.Builder();
ISolver solver = solverBuilder.BuildSolver(model);
// Problem type
var provider = new ProblemStructural(model, solver);
// Analyzers
var childAnalyzer = new LinearAnalyzer(model, solver, provider);
var parentAnalyzerBuilder = new NewmarkDynamicAnalyzer.Builder(model, solver, provider, childAnalyzer, 0.28, 3.36);
parentAnalyzerBuilder.SetNewmarkParametersForConstantAcceleration(); // Not necessary. This is the default
NewmarkDynamicAnalyzer parentAnalyzer = parentAnalyzerBuilder.Build();
parentAnalyzer.Initialize();
parentAnalyzer.Solve();
Assert.Equal(2.2840249264795207, solver.LinearSystems[1].Solution[1], 8);
}
private static void TestBatheImplicitAnalysisExample()
{
var model = new Model();
int subdomainID = 0;
model.SubdomainsDictionary.Add(subdomainID, new Subdomain(subdomainID));
var n = new Node(id: 0, x: double.NaN);
var e = new Element()
{
ID = 0
};
e.NodesDictionary.Add(0, n);
var m = new Mock <IFiniteElement>();
m.Setup(x => x.StiffnessMatrix(e)).Returns(Matrix.CreateFromArray(new double[, ] {
{ 6, -2, }, { -2, 4 }
}));
m.Setup(x => x.MassMatrix(e)).Returns(Matrix.CreateFromArray(new double[, ] {
{ 2, 0, }, { 0, 1 }
}));
m.Setup(x => x.DampingMatrix(e)).Returns(Matrix.CreateFromArray(new double[, ] {
{ 0, 0, }, { 0, 0 }
}));
//m.Setup(x => x.StiffnessMatrix(e)).Returns(new Numerical.LinearAlgebra.SymmetricMatrix2D(new double[] { 6, -2, 4 }));
//m.Setup(x => x.MassMatrix(e)).Returns(new Numerical.LinearAlgebra.SymmetricMatrix2D(new double[] { 2, 0, 1 }));
//m.Setup(x => x.DampingMatrix(e)).Returns(new Numerical.LinearAlgebra.SymmetricMatrix2D(new double[] { 0, 0, 0 }));
m.Setup(x => x.GetElementDofTypes(e)).Returns(new[] { new[] { StructuralDof.TranslationX, StructuralDof.TranslationY } });
m.SetupGet(x => x.DofEnumerator).Returns(new GenericDofEnumerator());
e.ElementType = m.Object;
model.NodesDictionary.Add(0, n);
model.ElementsDictionary.Add(0, e);
model.SubdomainsDictionary[subdomainID].Elements.Add(e);
model.Loads.Add(new Load()
{
Amount = 10, Node = n, DOF = StructuralDof.TranslationY
});
var lX = new Mock <IMassAccelerationHistoryLoad>();
lX.SetupGet(x => x.DOF).Returns(StructuralDof.TranslationX);
lX.SetupGet(x => x[It.IsAny <int>()]).Returns(0);
var lY = new Mock <IMassAccelerationHistoryLoad>();
lY.SetupGet(x => x.DOF).Returns(StructuralDof.TranslationY);
lY.SetupGet(x => x[0]).Returns(10);
lY.SetupGet(x => x[It.IsInRange(1, 100, Range.Inclusive)]).Returns(0);
model.MassAccelerationHistoryLoads.Add(lX.Object);
model.MassAccelerationHistoryLoads.Add(lY.Object);
m.Setup(x => x.CalculateAccelerationForces(It.IsAny <Element>(), It.IsAny <IList <MassAccelerationLoad> >()))
.Returns <Element, IList <MassAccelerationLoad> >((element, loads) =>
{
double[] accelerations = { loads[0].Amount, loads[1].Amount };
var massMatrix = Matrix.CreateFromArray(new double[, ] {
{ 2, 0, }, { 0, 1 }
});
//var massMatrix = new Numerical.LinearAlgebra.SymmetricMatrix2D(new double[] { 2, 0, 1 });
return(massMatrix.Multiply(accelerations));
}
);
// Solver
var solverBuilder = new SkylineSolver.Builder();
ISolver solver = solverBuilder.BuildSolver(model);
//TODO: These overwrite the corresponding data extracted by the Model. Either set up these or the Model.
//solver.LinearSystems[subdomainID].SetMatrix(
// SkylineMatrix.CreateFromArrays(2, new double[] { 6, 4, -2 }, new int[] { 0, 1, 3 }, true)); // K = [6 -2; -2 4]
//solver.LinearSystems[subdomainID].RhsVector = Vector.CreateFromArray(new double[] { 0, 10 });
// Problem type
var provider = new ProblemStructural(model, solver);
// Analyzers
var childAnalyzer = new LinearAnalyzer(model, solver, provider);
var parentAnalyzerBuilder = new NewmarkDynamicAnalyzer.Builder(model, solver, provider, childAnalyzer, 0.28, 3.36);
parentAnalyzerBuilder.SetNewmarkParametersForConstantAcceleration(); // Not necessary. This is the default
//parentAnalyzerBuilder.SetNewmarkParameters(0.25, 0.5); // Not necessary. This is the default
NewmarkDynamicAnalyzer parentAnalyzer = parentAnalyzerBuilder.Build();
// Request output
childAnalyzer.LogFactories[subdomainID] = new LinearAnalyzerLogFactory(new int[] { 0, 1 });
// Run the analysis
parentAnalyzer.Initialize();
parentAnalyzer.Solve();
//Check output
DOFSLog log = (DOFSLog)childAnalyzer.Logs[subdomainID][0]; //There is a list of logs for each subdomain and we want the first one
Assert.Equal(2.2840249264795207, log.DOFValues[0], 8);
Assert.Equal(2.4351921891904156, log.DOFValues[1], 8);
}
private static void TestBeam3DElasticNonlinearNewmarkDynamicAnalysisExample()
{
double youngModulus = 21000.0;
double poissonRatio = 0.3;
double nodalLoad = 20000.0;
double area = 91.04;
double inertiaY = 2843.0;
double inertiaZ = 8091.0;
double torsionalInertia = 76.57;
double effectiveAreaY = 91.04;
double effectiveAreaZ = 91.04;
double density = 7.85;
int nNodes = 3;
int nElems = 2;
int monitorNode = 3;
// Create new 3D material
var material = new ElasticMaterial3D
{
YoungModulus = youngModulus,
PoissonRatio = poissonRatio,
};
// Node creation
IList <Node> nodes = new List <Node>();
Node node1 = new Node(id: 1, x: 0.0, y: 0.0, z: 0.0);
Node node2 = new Node(id: 2, x: 300.0, y: 0.0, z: 0.0);
Node node3 = new Node(id: 3, x: 600.0, y: 0.0, z: 0.0);
nodes.Add(node1);
nodes.Add(node2);
nodes.Add(node3);
// Model creation
Model model = new Model();
// Add a single subdomain to the model
int subdomainID = 0;
model.SubdomainsDictionary.Add(subdomainID, new Subdomain(subdomainID));
// Add nodes to the nodes dictonary of the model
for (int i = 0; i < nodes.Count; ++i)
{
model.NodesDictionary.Add(i + 1, nodes[i]);
}
// Constrain bottom nodes of the model
model.NodesDictionary[1].Constraints.Add(new Constraint {
DOF = StructuralDof.TranslationX
});
model.NodesDictionary[1].Constraints.Add(new Constraint {
DOF = StructuralDof.TranslationY
});
model.NodesDictionary[1].Constraints.Add(new Constraint {
DOF = StructuralDof.TranslationZ
});
model.NodesDictionary[1].Constraints.Add(new Constraint {
DOF = StructuralDof.RotationX
});
model.NodesDictionary[1].Constraints.Add(new Constraint {
DOF = StructuralDof.RotationY
});
model.NodesDictionary[1].Constraints.Add(new Constraint {
DOF = StructuralDof.RotationZ
});
// Generate elements of the structure
int iNode = 1;
for (int iElem = 0; iElem < nElems; iElem++)
{
// element nodes
IList <Node> elementNodes = new List <Node>();
elementNodes.Add(model.NodesDictionary[iNode]);
elementNodes.Add(model.NodesDictionary[iNode + 1]);
// Create new Beam3D section and element
var beamSection = new BeamSection3D(area, inertiaY, inertiaZ, torsionalInertia, effectiveAreaY, effectiveAreaZ);
var beam = new Beam3DCorotationalQuaternion(elementNodes, material, density, beamSection);
// Create elements
var element = new Element()
{
ID = iElem + 1,
ElementType = beam
};
// Add nodes to the created element
element.AddNode(model.NodesDictionary[iNode]);
element.AddNode(model.NodesDictionary[iNode + 1]);
var a = beam.StiffnessMatrix(element);
var b = beam.MassMatrix(element);
// Add beam element to the element and subdomains dictionary of the model
model.ElementsDictionary.Add(element.ID, element);
model.SubdomainsDictionary[subdomainID].Elements.Add(element);
iNode++;
}
// Add nodal load values at the top nodes of the model
model.Loads.Add(new Load()
{
Amount = nodalLoad, Node = model.NodesDictionary[monitorNode], DOF = StructuralDof.TranslationY
});
// Solver
var solverBuilder = new SkylineSolver.Builder();
ISolver solver = solverBuilder.BuildSolver(model);
// Problem type
var provider = new ProblemStructural(model, solver);
// Analyzers
int increments = 10;
var childAnalyzerBuilder = new LoadControlAnalyzer.Builder(model, solver, provider, increments);
childAnalyzerBuilder.MaxIterationsPerIncrement = 120;
childAnalyzerBuilder.NumIterationsForMatrixRebuild = 500;
//childAnalyzerBuilder.SubdomainUpdaters = new[] { new NonLinearSubdomainUpdater(model.SubdomainsDictionary[subdomainID]) }; // This is the default
LoadControlAnalyzer childAnalyzer = childAnalyzerBuilder.Build();
var parentAnalyzerBuilder = new NewmarkDynamicAnalyzer.Builder(model, solver, provider, childAnalyzer, 0.28, 3.36);
parentAnalyzerBuilder.SetNewmarkParametersForConstantAcceleration(); // Not necessary. This is the default
NewmarkDynamicAnalyzer parentAnalyzer = parentAnalyzerBuilder.Build();
parentAnalyzer.Initialize();
parentAnalyzer.Solve();
Assert.Equal(148.936792350562, solver.LinearSystems[subdomainID].Solution[7], 12);
}
private static TotalDisplacementsPerIterationLog SolveModel()
{
//VectorExtensions.AssignTotalAffinityCount();
Model model = new Model();
model.SubdomainsDictionary.Add(subdomainID, new Subdomain(subdomainID));
BuildCantileverModel(model, -(0.15 * 2) / 20);
//model.ConnectDataStructures();
//var linearSystems = new Dictionary<int, ILinearSystem>(); //I think this should be done automatically
//linearSystems[subdomainID] = new SkylineLinearSystem(subdomainID, model.Subdomains[0].Forces);
//ProblemStructural provider = new ProblemStructural(model, linearSystems);
//var solver = new SolverSkyline(linearSystems[subdomainID]);
//var linearSystemsArray = new[] { linearSystems[subdomainID] };
//var subdomainUpdaters = new[] { new NonLinearSubdomainUpdater(model.Subdomains[0]) };
//var subdomainMappers = new[] { new SubdomainGlobalMapping(model.Subdomains[0]) };
//var increments = 2;
//var childAnalyzer = new NewtonRaphsonNonLinearAnalyzer(solver, linearSystemsArray, subdomainUpdaters, subdomainMappers, provider, increments, model.TotalDOFs);
// Solver
var solverBuilder = new SkylineSolver.Builder();
ISolver solver = solverBuilder.BuildSolver(model);
// Problem type
var provider = new ProblemStructural(model, solver);
//var solver = new SolverSkyline(linearSystems[subdomainID]);
//var linearSystemsArray = new[] { linearSystems[subdomainID] };
//var subdomainUpdaters = new[] { new NonLinearSubdomainUpdater(model.Subdomains[0]) };
//var subdomainMappers = new[] { new SubdomainGlobalMapping(model.Subdomains[0]) };
var increments = 2;
var childAnalyzerBuilder = new LoadControlAnalyzer.Builder(model, solver, provider, increments);
childAnalyzerBuilder.ResidualTolerance = 1E-8;
childAnalyzerBuilder.MaxIterationsPerIncrement = 100;
childAnalyzerBuilder.NumIterationsForMatrixRebuild = 1;
//childAnalyzerBuilder.SubdomainUpdaters = new[] { new NonLinearSubdomainUpdater(model.SubdomainsDictionary[subdomainID]) }; // This is the default
LoadControlAnalyzer childAnalyzer = childAnalyzerBuilder.Build();
var parentAnalyzerBuilder = new NewmarkDynamicAnalyzer.Builder(model, solver, provider, childAnalyzer, 0.28, 3.36);
parentAnalyzerBuilder.SetNewmarkParametersForConstantAcceleration(); // Not necessary. This is the default
NewmarkDynamicAnalyzer parentAnalyzer = parentAnalyzerBuilder.Build();
//var parentAnalyzer = new StaticAnalyzer(model, solver, provider, childAnalyzer);
var watchDofs = new Dictionary <int, int[]>();
watchDofs.Add(subdomainID, new int[2] {
0, 5
}); //[12] { 0, 1,2,3,4,5,6,7,8,9,10,11});
var log1 = new TotalDisplacementsPerIterationLog(watchDofs);
childAnalyzer.TotalDisplacementsPerIterationLog = log1;
//childAnalyzer.SetMaxIterations = 100;
//childAnalyzer.SetIterationsForMatrixRebuild = 1;
//StaticAnalyzer parentAnalyzer = new StaticAnalyzer(provider, childAnalyzer, linearSystems);
//parentAnalyzer.BuildMatrices();
parentAnalyzer.Initialize();
parentAnalyzer.Solve();
return(log1);
}