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Evaluate von Mises stress for dynamic structural analysis problem



vmStress = evaluateVonMisesStress(structuralresults) evaluates von Mises stress at nodal locations for all time- or frequency-steps.


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Evaluate the von Mises stress in a beam under a harmonic excitation.

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(0.06,0.005,0.01);
structuralmodel.Geometry = gm;

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

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

structuralProperties(structuralmodel,'YoungsModulus',210E9, ...
                                     'PoissonsRatio',0.3, ...

Fix one end of the beam.


Apply a sinusoidal displacement along the y-direction on the end opposite the fixed end of the beam.


Generate a mesh.


Specify the zero initial displacement and velocity.


Solve the model.

tlist = 0:0.002:0.2;
structuralresults = solve(structuralmodel,tlist);

Evaluate the von Mises stress in the beam.

vmStress = evaluateVonMisesStress(structuralresults);

Plot the von Mises stress for the last time-step.

title('von Mises Stress in the Beam for the Last Time-Step')

Input Arguments

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Solution of a dynamic structural analysis problem, specified as a TransientStructuralResults or FrequencyStructuralResults object. Create structuralresults by using the solve function.

Example: structuralresults = solve(structuralmodel,tlist)

Output Arguments

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Von Mises Stress at the nodes, returned as a matrix. The rows of the matrix contain the values of von Mises stress at nodal locations, while the columns correspond to the time or frequency steps.

Introduced in R2018a