static void TestIssue22()
{
var model = new BriefFiniteElementNet.Model();
var n1 = new Node(-1, 0, 0)
{
Label = "n1", Constraints = BriefFiniteElementNet.Constraints.MovementFixed & BriefFiniteElementNet.Constraints.FixedRX
};
var n2 = new Node(1, 0, 0)
{
Label = "n2", Constraints = BriefFiniteElementNet.Constraints.MovementFixed
};
var loadPositionX = 0.5;
var e1 = new BarElement(n1, n2)
{
Label = "e1"
};
e1.Section = new BriefFiniteElementNet.Sections.UniformGeometric1DSection(SectionGenerator.GetRectangularSection(0.1d, 0.2d));
e1.Material = BriefFiniteElementNet.Materials.UniformIsotropicMaterial.CreateFromYoungPoisson(210e9, 0.3);
model.Nodes.Add(n1, n2);
model.Elements.Add(e1);
var force = new Force(0, 1, 1, 0, 0, 0);
var elementLoad = new BriefFiniteElementNet.Loads.ConcentratedLoad
{
CoordinationSystem = CoordinationSystem.Global,
Force = force,
ForceIsoLocation = new IsoPoint(loadPositionX)
};
e1.Loads.Add(elementLoad);
model.Solve();
var eqv = e1.GetGlobalEquivalentNodalLoads(elementLoad);
var data =
e1.GetExactInternalForceAt(-0.99999999999);
//e1.GetInternalForceAt(-0.99999999999);
var func = new Func <double, double>(xi => e1.GetExactInternalForceAt(xi).My);
FunctionVisualizer.VisualizeInNewWindow(func, -1 + 1e-10, 1 - 1e-10, 100);
}
public static void Test1()
{
var model = new Model();
Node n1, n2;
model.Nodes.Add(n1 = new Node(0, 0, 0)
{
Constraints = Constraints.Fixed
});
model.Nodes.Add(n2 = new Node(1, 0, 0)
{
Constraints = Constraints.Fixed
});
var elm = new BarElement(n1, n2);
elm.Section = new BriefFiniteElementNet.Sections.UniformParametric1DSection(a: 0.01, iy: 0.01, iz: 0.01, j: 0.01);
elm.Material = BriefFiniteElementNet.Materials.UniformIsotropicMaterial.CreateFromYoungPoisson(210e9, 0.3);
var load = new Loads.UniformLoad();
load.Case = LoadCase.DefaultLoadCase;
load.CoordinationSystem = CoordinationSystem.Global;
load.Direction = Vector.K;
load.Magnitude = 10;
elm.Loads.Add(load);
model.Elements.Add(elm);
model.Solve_MPC();
var f1 = elm.GetInternalForceAt(0);
var f2 = elm.GetExactInternalForceAt(0);
}
public static void Run()
{
var model = new Model();
var l = 5.0;
var n1 = new Node()
{
Constraints = Constraints.Fixed
};
var n2 = new Node(l, 0, 0)
{
Constraints = Constraints.Fixed
};
var elm = new BarElement();
elm.Material = Materials.UniformIsotropicMaterial.CreateFromYoungPoisson(210e9, 0.25);
elm.Section = new Sections.UniformGeometric1DSection(SectionGenerator.GetRectangularSection(0.05, 0.05));
elm.Nodes[0] = n1;
elm.Nodes[1] = n2;
// elm.EndReleaseCondition = Constraints.RotationFixed;
var load = new Loads.UniformLoad(LoadCase.DefaultLoadCase, Vector.K, 100, CoordinationSystem.Global);
//var load2 = new Loads.ConcentratedLoad();// LoadCase.DefaultLoadCase, Vector.K, -100, CoordinationSystem.Global);
//l/oad2.Force = new Force(0, 100, 100, 0, 0, 0);
//load2.ForceIsoLocation = new IsoPoint(0.5, 0, 0);
elm.Loads.Add(load);
model.Elements.Add(elm);
model.Nodes.Add(n1, n2);
model.Solve_MPC();
var fnc = new Func <double, double>(x =>
{
try
{
var xi = elm.LocalCoordsToIsoCoords(x);
var frc = elm.GetExactInternalForceAt(xi[0]);
return(frc.Fz);
}
catch
{
return(0);
}
});
Controls.FunctionVisualizer.VisualizeInNewWindow(fnc, 1E-6, l - 1E-6, 500);
}
public static void SimplySupportedBeamUDL()
{
var model = new BriefFiniteElementNet.Model();
var pin = new Constraint(
dx: DofConstraint.Fixed, dy: DofConstraint.Fixed, dz: DofConstraint.Fixed,
rx: DofConstraint.Fixed, ry: DofConstraint.Released, rz: DofConstraint.Released);
Node n1, n2;
model.Nodes.Add(n1 = new Node(x: 0.0, y: 0.0, z: 0.0)
{
Constraints = pin
});
model.Nodes.Add(n2 = new Node(x: 10.0, y: 0.0, z: 0.0)
{
Constraints = pin
});
var elm1 = new BarElement(n1, n2);
model.Elements.Add(elm1);
double height = 0.200;
double width = 0.050;
double E = 7900;
var section = new UniformGeometric1DSection(SectionGenerator.GetRectangularSection(height, width));
BaseMaterial material = UniformIsotropicMaterial.CreateFromYoungPoisson(E, 1);
elm1.Section = section;
elm1.Material = material;
var u1 = new Loads.UniformLoad(LoadCase.DefaultLoadCase, new Vector(0, 1, 1), -1, CoordinationSystem.Global);
elm1.Loads.Add(u1);
model.Solve_MPC();
double x;
Force reaction1 = n1.GetSupportReaction();
x = reaction1.Fz; //15000 = 3*10000/2 -> correct
x = reaction1.My; // 0 -> correct
Force f1_internal = elm1.GetExactInternalForceAt(-1 + 1e-10); //-1 is start
x = f1_internal.Fz;
x = f1_internal.My;
var delta = elm1.GetInternalDisplacementAt(0);
}
public static void SingleSpanBeamWithOverhang()
{
var model = new BriefFiniteElementNet.Model();
var pin = new Constraint(dx: DofConstraint.Fixed, dy: DofConstraint.Fixed, dz: DofConstraint.Fixed, rx: DofConstraint.Fixed, ry: DofConstraint.Fixed, rz: DofConstraint.Released);
Node n1, n2;
model.Nodes.Add(n1 = new Node(x: 0.0, y: 0.0, z: 0.0)
{
Constraints = pin
});
model.Nodes.Add(n2 = new Node(x: 10.0, y: 0.0, z: 0.0)
{
Constraints = pin
});
var elm1 = new BarElement(n1, n2);
model.Elements.Add(elm1);
elm1.Section = new BriefFiniteElementNet.Sections.UniformParametric1DSection(a: 0.01, iy: 8.3e-6, iz: 8.3e-6, j: 16.6e-6); //section's second area moments Iy and Iz = 8.3*10^-6, area = 0.01
elm1.Material = BriefFiniteElementNet.Materials.UniformIsotropicMaterial.CreateFromYoungPoisson(210e9, 0.3); //Elastic mudule is 210e9 and poisson ratio is 0.3
var frc = new Force();
frc.Fz = 1000;// 1kN force in Z direction
var elementLoad = new BriefFiniteElementNet.Loads.ConcentratedLoad();
elementLoad.CoordinationSystem = CoordinationSystem.Local;
elementLoad.Force = frc;
elementLoad.ForceIsoLocation = new IsoPoint(0);
//frc, 5, CoordinationSystem.Local);
elm1.Loads.Add(elementLoad); //is this possible?
model.Solve_MPC(); //crashes here
var val = elm1.GetExactInternalForceAt(-0.25);
var d2 = n2.GetNodalDisplacement();
}
static public void Run3()
{
// 2 x 20m spans with elements of 1m length
// Test of running model with 4 loadcases - 2 with vertical loads and 2 with settlements
// It can be seen that results for loadCase3 are only correct if it uses the DefaultLoadCase
List <Node> nodeList = new List <Node>();
List <BarElement> elementList = new List <BarElement>();
var model = new BriefFiniteElementNet.Model();
for (double n = 0; n <= 40; n = n + 1)
{
nodeList.Add(new Node(x: n, y: 0.0, z: 0.0)
{
Label = "N" + n
});
}
nodeList[0].Constraints = Constraints.MovementFixed & Constraints.FixedRX; // Constraints.FixedDX & Constraints.FixedDY & Constraints.FixedDZ & Constraints.FixedRY & Constraints.FixedRZ;
nodeList[20].Constraints = Constraints.FixedDZ & Constraints.FixedDY; // z = vertical
nodeList[nodeList.Count - 1].Constraints = Constraints.FixedDZ & Constraints.FixedDY; // z = vertical
model.Nodes.AddRange(nodeList);
model.Trace.Listeners.Add(new ConsoleTraceListener());
List <LoadCase> loadCases = new List <LoadCase>();
LoadCase loadCase1 = new LoadCase("L1", LoadType.Dead);
LoadCase loadCase2 = new LoadCase("L2", LoadType.Dead);
LoadCase loadCase3 = new LoadCase("L3", LoadType.Other); // using LoadCase.DefaultLoadCase gives correct loadCase3 results
LoadCase loadCase4 = new LoadCase("L4", LoadType.Other);
loadCases.Add(loadCase1);
loadCases.Add(loadCase2);
loadCases.Add(loadCase3);
loadCases.Add(loadCase4);
var load1 = new BriefFiniteElementNet.Loads.UniformLoad(loadCase1, new Vector(0, 0, 1), -6000, CoordinationSystem.Global); // Load in N/m
var load2 = new BriefFiniteElementNet.Loads.UniformLoad(loadCase2, new Vector(0, 0, 1), -6000, CoordinationSystem.Global); // Load in N/m
var a = 0.1; // m²
var iy = 0.008333; // m4
var iz = 8.333e-5; // m4
var j = 0.1 * 0.1 * 0.1 * 1 / 12.0; // m4
var e = 205e9; // N/m²
var nu = 0.3; // Poisson's ratio
var secAA = new BriefFiniteElementNet.Sections.UniformParametric1DSection(a, iy, iz, j);
var mat = BriefFiniteElementNet.Materials.UniformIsotropicMaterial.CreateFromYoungPoisson(e, nu);
for (int m = 0; m < 40; m++)
{
BarElement el = new BarElement(nodeList[m], nodeList[m + 1]);
el.Section = secAA;
el.Material = mat;
el.Loads.Add(load1);
el.Loads.Add(load2);
elementList.Add(el);
}
model.Elements.Add(elementList.ToArray());
model.Nodes[20].Settlements.Add(new Settlement(loadCase3, new Displacement(0, 0, -0.010, 0, 0, 0))); // -10mm settlement
model.Nodes[20].Settlements.Add(new Settlement(loadCase4, new Displacement(0, 0, -0.010, 0, 0, 0))); // +10mm settlement
foreach (LoadCase loadCase in loadCases)
{
model.Solve_MPC(loadCase);
}
//model.Solve_MPC(loadCase1,loadCase2,loadCase3,loadCase4);
BarElement elem = (BarElement)model.Elements[9];
for (int load = 0; load < loadCases.Count; load++)
{
//BarElement elem = (BarElement)model.Elements[9];
// For settlement loadcases GetExactInternalForce does not return the correct results
Force f = (load < 2) ?
elem.GetExactInternalForceAt(+0.999999, loadCases[load]) :
elem.GetInternalForceAt(+0.999999, loadCases[load]);
Console.WriteLine("Element 10 BMyy is {0:0.000} kNm at end", f.My / 1000);
}
var d = model.Nodes[20].GetNodalDisplacement(loadCase3);
var c1 = elem.GetInternalForceAt(+0.999999, loadCase3);
var c2 = elem.GetInternalForceAt(+0.999999, loadCase4);
// Results: Element 10 BMyy is -149.500 kNm at end (correct)
// Element 10 BMyy is -149.500 kNm at end (correct)
// Element 10 BMyy is 0.000 kNm at end (incorrect, should be -64.060)
// Element 10 BMyy is 64.060 kNm at end (correct)
}