Main Content

TransientStructuralResults

Transient structural solution and its derived quantities

expand all in page

Description

ATransientStructuralResultsobject contains the displacement, velocity, and acceleration in a form convenient for plotting and postprocessing.

Displacement, velocity, and acceleration are reported for the nodes of the triangular or tetrahedral mesh generated bygenerateMesh. The displacement, velocity, and acceleration values at the nodes appear asFEStructobjects in theDisplacement,Velocity, andAccelerationproperties. The properties of these objects contain the components of the displacement, velocity, and acceleration at the nodal locations.

To evaluate the stress, strain, von Mises stress, principal stress, and principal strain at the nodal locations, useevaluateStress,evaluateStrain,evaluateVonMisesStress,evaluatePrincipalStress, andevaluatePrincipalStrain, respectively.

To evaluate the reaction forces on a specified boundary, useevaluateReaction.

To interpolate the displacement, velocity, acceleration, stress, strain, and von Mises stress to a custom grid, such as the one specified bymeshgrid, useinterpolateDisplacement,interpolateVelocity,interpolateAcceleration,interpolateStress,interpolateStrain, andinterpolateVonMisesStress, respectively.

Creation

Solve a dynamic linear elasticity problem by using thesolvefunction. This function returns a transient structural solution as aTransientStructuralResultsobject.

Properties

expand all

Properties of anFEStructobject are read-only.

Displacement values at the nodes, returned as anFEStructobject. The properties of this object contain components of displacement at nodal locations.

Velocity values at the nodes, returned as anFEStructobject. The properties of this object contain components of velocity at nodal locations.

Acceleration values at the nodes, returned as anFEStructobject. The properties of this object contain components of acceleration at nodal locations.

Solution times, returned as a real vector.SolutionTimesis the same as thetlistinput tosolve.

Data Types:double

Finite element mesh, returned as aFEMeshobject. For details, seeFEMesh Properties.

Object Functions

evaluateStress Evaluate stress for dynamic structural analysis problem
evaluateStrain Evaluate strain for dynamic structural analysis problem
evaluateVonMisesStress Evaluate von Mises stress for dynamic structural analysis problem
evaluateReaction Evaluate reaction forces on boundary
evaluatePrincipalStress Evaluate principal stress at nodal locations
evaluatePrincipalStrain Evaluate principal strain at nodal locations
interpolateDisplacement Interpolate displacement at arbitrary spatial locations
interpolateVelocity Interpolate velocity at arbitrary spatial locations for all time or frequency steps for dynamic structural model
interpolateAcceleration Interpolate acceleration at arbitrary spatial locations for all time or frequency steps for dynamic structural model
interpolateStress Interpolate stress at arbitrary spatial locations
interpolateStrain Interpolate strain at arbitrary spatial locations
interpolateVonMisesStress Interpolate von Mises stress at arbitrary spatial locations

Examples

collapse all

Open Live Script

Solve for the transient response of a thin 3-D plate under a harmonic load at the center.

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

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

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

gm = multicuboid([5,0.05],[5,0.05],0.01); structuralmodel.Geometry = gm; pdegplot(structuralmodel,"FaceLabels","on","FaceAlpha",0.5)

Figure contains an axes object. The axes object contains 3 objects of type quiver, patch, line.

Zoom in to see the face labels on the small plate at the center.

figure pdegplot(structuralmodel,"FaceLabels","on","FaceAlpha",0.25) axis([-0.2 0.2 -0.2 0.2 -0.1 0.1])

Figure contains an axes object. The axes object contains 3 objects of type quiver, patch, line.

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

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

Specify that all faces on the periphery of the thin 3-D plate are fixed boundaries.

structuralBC(structuralmodel,"Constraint","fixed","Face",5:8);

应用一个正弦压力加载的小脸上at the center of the plate.

structuralBoundaryLoad(structuralmodel,"Face",12,..."Pressure",5E7,..."Frequency",25);

Generate a mesh with linear elements.

generateMesh(structuralmodel,"GeometricOrder","linear","Hmax",0.2);

Specify zero initial displacement and velocity.

structuralIC(structuralmodel,"Displacement",[0;0;0],"Velocity",[0;0;0]);

Solve the model.

tlist = linspace(0,1,300); structuralresults = solve(structuralmodel,tlist);

The solver finds the values of the displacement, velocity, and acceleration at the nodal locations. To access these values, usestructuralresults.Displacement,structuralresults.Velocity, and so on. The displacement, velocity, and acceleration values are returned asFEStructobjects with the properties representing their components. Note that properties of anFEStructobject are read-only.

structuralresults.Displacement
ans = FEStruct with properties: ux: [1873x300 double] uy: [1873x300 double] uz: [1873x300 double] Magnitude: [1873x300 double]
structuralresults.Velocity
ans = FEStruct with properties: vx: [1873x300 double] vy: [1873x300 double] vz: [1873x300 double] Magnitude: [1873x300 double]
structuralresults.Acceleration
ans = FEStruct with properties: ax: [1873x300 double] ay: [1873x300 double] az: [1873x300 double] Magnitude: [1873x300 double]

版本历史

Introduced in R2018a

See Also

|||