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findStructuralIC

Find initial displacement and velocity assigned to geometric region

Description

example

sica = findStructuralIC(initialConditions,RegionType,RegionID) returns the initial displacement and velocity assigned to the specified region.

Examples

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Find the initial displacement and velocity assigned to the cells of a 3-D geometry.

Create a transient dynamic model for a 3-D problem.

structuralmodel = createpde("structural","transient-solid");

Create the geometry consisting of the three nested cylinders and include it in the model. Plot the geometry.

gm = multicylinder([5 10 15],2);
structuralmodel = createpde("structural","transient-solid");
structuralmodel.Geometry = gm;
pdegplot(structuralmodel,"CellLabels","on","FaceAlpha",0.5)

Figure contains an axes object. The axes object contains 6 objects of type quiver, text, patch, line.

Set the initial conditions for each cell. When you specify only the initial velocity or initial displacement, structuralIC assumes that the omitted parameter is zero.

structuralIC(structuralmodel,"Displacement",[0;0;0],...
                             "Velocity",[0;0;0], ...
                             "Cell",1);
structuralIC(structuralmodel,"Displacement",[0;0.1;0], ...
                             "Cell",2);
structuralIC(structuralmodel,"Velocity",[0;0.2;0], ...
                             "Cell",3);

Check the initial condition specification for cell 1.

SICACell1 = findStructuralIC(structuralmodel.InitialConditions,"Cell",1)
SICACell1 = 
  GeometricStructuralICs with properties:

             RegionType: 'Cell'
               RegionID: 1
    InitialDisplacement: [3x1 double]
        InitialVelocity: [3x1 double]

SICACell1.InitialDisplacement
ans = 3×1

     0
     0
     0

SICACell1.InitialVelocity
ans = 3×1

     0
     0
     0

Use a static solution as an initial condition for a dynamic structural model. Check and plot the initial displacement.

Create a static model.

staticmodel = createpde("structural","static-solid");

Create the geometry and include it in the model. Plot the geometry.

gm = multicuboid(0.06,0.005,0.01);
staticmodel.Geometry = gm;
pdegplot(staticmodel,"FaceLabels","on","FaceAlpha",0.5)
view(50,20)

Figure contains an axes object. The axes object contains 6 objects of type quiver, text, patch, line.

Specify Young's modulus, Poisson's ratio, and the mass density.

structuralProperties(staticmodel,"YoungsModulus",210E9, ...
                                 "PoissonsRatio",0.3,...
                                 "MassDensity",7800);

Apply the boundary condition and static load.

structuralBC(staticmodel,"Face",5,"Constraint","fixed");
structuralBoundaryLoad(staticmodel,"Face",3, ...
                                   "SurfaceTraction",[0;1E6;0]);
generateMesh(staticmodel,"Hmax",0.02);
Rstatic = solve(staticmodel);

Create a dynamic model and assign geometry.

dynamicmodel = createpde("structural","transient-solid");
gm = multicuboid(0.06,0.005,0.01);
dynamicmodel.Geometry = gm;

Apply the boundary condition.

structuralBC(dynamicmodel,"Face",5,"Constraint","fixed");

Specify the initial condition using the static solution.

generateMesh(dynamicmodel,"Hmax",0.02);
structuralIC(dynamicmodel,Rstatic)
ans = 
  NodalStructuralICs with properties:

    InitialDisplacement: [189x3 double]
        InitialVelocity: [189x3 double]

Check the initial condition specification for dynamicmodel.

sica = findStructuralIC(dynamicmodel.InitialConditions,"Cell",1)
sica = 
  NodalStructuralICs with properties:

    InitialDisplacement: [189x3 double]
        InitialVelocity: [189x3 double]

Plot the z-component of the initial displacement.

pdeplot3D(dynamicmodel,"ColorMapData",sica.InitialDisplacement(:,3))
title("Initial Displacement in the Z-direction")

Input Arguments

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Initial conditions of a transient structural model, specified as the InitialConditions property of a StructuralModel object.

Example: structuralmodel.InitialConditions

Geometric region type, specified as "Face", "Edge", or "Vertex" for a 2-D model or 3-D model, or "Cell" for a 3-D model.

Data Types: char

Geometric region ID, specified as a vector of positive integers. Find the region IDs by using pdegplot.

Data Types: double

Output Arguments

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Structural initial condition for a particular region, returned as a GeometricStructuralICs or NodalStructuralICs object. For details, see GeometricStructuralICs Properties and NodalStructuralICs Properties.

Version History

Introduced in R2018a