• Fusion

Thermal stress overview

Set up, perform, and review results for a thermal stress simulation.


00:03

This is an industrial brake rotor much larger than the rotors on your car or truck.

00:09

The simulation model is a 1/8 symmetry portion of the full rotor.

00:14

Here we see the result and stresses due to the applied mechanical and thermal loads.

00:20

Let's take a step back and see what's required to set up and run this study.

00:27

First, we need to create a new simulation study.

00:29

Choosing the thermal stress analysis type.

00:33

Let's go into the study settings and change

00:35

the default stress free temperature to 25 C.

00:40

We'll also specify an absolute mesh size of six millimeters which will

00:44

give us two elements through the thinnest sections of the model.

00:50

Of course, the production model includes the full rotor.

00:53

We'll next go into the simplify workspace to

00:56

reduce the model to a 1/8 symmetry variant

00:59

changes performed here have no effect on the production model.

01:02

They are specific to the simulation process.

01:06

Split the full model at each of the

01:08

three global planes which produces eight separate bodies

01:12

using symmetry gives us two advantages.

01:16

First,

01:16

the model size is reduced which consumes less

01:18

storage space and the solution time is decreased.

01:22

And second, the application of constraints is very straightforward.

01:26

We can fully constrain the model against motion in all three

01:29

global directions without impeding the natural thermal expansion that we expect.

01:34

Constraining thermal stress models can be tricky because over

01:37

constraint can result in severely exaggerated thermal stresses.

01:43

Next,

01:43

we determine which body is the one located at the nearest

01:46

side in the first or plus X plus Y quadrant.

01:50

Then we keep this body and remove the other seven.

01:57

We can now return to the simulation workspace.

02:03

Notice that the model material has already been specified as gray cast iron as

02:07

T ma 48 grade 50.

02:10

We'll keep this material for the thermal stress study

02:14

in simulation.

02:15

When loads constraints and geometry are symmetrical,

02:18

there is no motion in the direction normal to the plane of symmetry.

02:21

So we constrain the following

02:24

the X translations on the faces lying along the YZ plane,

02:29

the Y translations for faces along the XZ plane

02:36

and the Z translations for faces along the xy plane.

02:41

Note that none of these constraints impede the radial or

02:43

axial growth of the rotor as it heats up.

02:48

Let's apply a pressure load of 13.8 mega pascals at the hub bore

02:52

to represent the load from the shrink fit between the shaft and rotor.

02:56

This is the only mechanical load.

02:60

The rotor is mounted to a water

03:01

cooled shaft. So we'll apply a fixed temperature of 38 C to this same face

03:08

will define a heat input of 36,500 watts per

03:12

meter squared to the brake pad contact face.

03:16

This value represents the average heat input to the

03:18

rotor over time on a per unit area basis,

03:22

the heat is generated as a result of friction between the pad and rotor.

03:26

When the braking force is applied.

03:29

Lastly,

03:30

we'll apply a convection load to all the exposed faces of the rotor,

03:33

both interior and exterior except for the brake pad contact face.

03:38

This exclusion is conservative since we're

03:40

ignoring the convective cooling along the

03:42

portion of the face that's not covered by the brake pad,

03:46

do not apply thermal loads at the faces along the symmetry planes.

03:50

Also, the program won't let you apply convection to the hub boor.

03:53

Since we've already fixed the temperature of that face,

03:58

the convection coefficient is 190 watts per meter. Kelvin

04:02

and the ambient air temperature is 25 C.

04:05

This convection value is higher than you would specify

04:08

for stagnant air with only buoyancy driving the convection.

04:12

The value takes into account the spinning of the rotor and therefore

04:15

the higher speed of the air flowing over and through it.

04:19

The model is ready to solve

04:26

when the solution finishes. The safety factor results are displayed

04:30

notice the minimum safety factor is slightly

04:32

more than 2.0 for the assumed conditions.

04:39

Now, we can talk through the other available results examining the

04:43

von

04:43

mises stress

04:47

displacement

04:50

temperature

04:53

and heat flux

04:55

the area of greatest heat flux is where the slots are located.

04:58

These openings allow cooling air into the rotor interior.

05:02

Not surprisingly,

05:03

this is also where the steepest temperature gradients and maximum stresses occur.

Video transcript

00:03

This is an industrial brake rotor much larger than the rotors on your car or truck.

00:09

The simulation model is a 1/8 symmetry portion of the full rotor.

00:14

Here we see the result and stresses due to the applied mechanical and thermal loads.

00:20

Let's take a step back and see what's required to set up and run this study.

00:27

First, we need to create a new simulation study.

00:29

Choosing the thermal stress analysis type.

00:33

Let's go into the study settings and change

00:35

the default stress free temperature to 25 C.

00:40

We'll also specify an absolute mesh size of six millimeters which will

00:44

give us two elements through the thinnest sections of the model.

00:50

Of course, the production model includes the full rotor.

00:53

We'll next go into the simplify workspace to

00:56

reduce the model to a 1/8 symmetry variant

00:59

changes performed here have no effect on the production model.

01:02

They are specific to the simulation process.

01:06

Split the full model at each of the

01:08

three global planes which produces eight separate bodies

01:12

using symmetry gives us two advantages.

01:16

First,

01:16

the model size is reduced which consumes less

01:18

storage space and the solution time is decreased.

01:22

And second, the application of constraints is very straightforward.

01:26

We can fully constrain the model against motion in all three

01:29

global directions without impeding the natural thermal expansion that we expect.

01:34

Constraining thermal stress models can be tricky because over

01:37

constraint can result in severely exaggerated thermal stresses.

01:43

Next,

01:43

we determine which body is the one located at the nearest

01:46

side in the first or plus X plus Y quadrant.

01:50

Then we keep this body and remove the other seven.

01:57

We can now return to the simulation workspace.

02:03

Notice that the model material has already been specified as gray cast iron as

02:07

T ma 48 grade 50.

02:10

We'll keep this material for the thermal stress study

02:14

in simulation.

02:15

When loads constraints and geometry are symmetrical,

02:18

there is no motion in the direction normal to the plane of symmetry.

02:21

So we constrain the following

02:24

the X translations on the faces lying along the YZ plane,

02:29

the Y translations for faces along the XZ plane

02:36

and the Z translations for faces along the xy plane.

02:41

Note that none of these constraints impede the radial or

02:43

axial growth of the rotor as it heats up.

02:48

Let's apply a pressure load of 13.8 mega pascals at the hub bore

02:52

to represent the load from the shrink fit between the shaft and rotor.

02:56

This is the only mechanical load.

02:60

The rotor is mounted to a water

03:01

cooled shaft. So we'll apply a fixed temperature of 38 C to this same face

03:08

will define a heat input of 36,500 watts per

03:12

meter squared to the brake pad contact face.

03:16

This value represents the average heat input to the

03:18

rotor over time on a per unit area basis,

03:22

the heat is generated as a result of friction between the pad and rotor.

03:26

When the braking force is applied.

03:29

Lastly,

03:30

we'll apply a convection load to all the exposed faces of the rotor,

03:33

both interior and exterior except for the brake pad contact face.

03:38

This exclusion is conservative since we're

03:40

ignoring the convective cooling along the

03:42

portion of the face that's not covered by the brake pad,

03:46

do not apply thermal loads at the faces along the symmetry planes.

03:50

Also, the program won't let you apply convection to the hub boor.

03:53

Since we've already fixed the temperature of that face,

03:58

the convection coefficient is 190 watts per meter. Kelvin

04:02

and the ambient air temperature is 25 C.

04:05

This convection value is higher than you would specify

04:08

for stagnant air with only buoyancy driving the convection.

04:12

The value takes into account the spinning of the rotor and therefore

04:15

the higher speed of the air flowing over and through it.

04:19

The model is ready to solve

04:26

when the solution finishes. The safety factor results are displayed

04:30

notice the minimum safety factor is slightly

04:32

more than 2.0 for the assumed conditions.

04:39

Now, we can talk through the other available results examining the

04:43

von

04:43

mises stress

04:47

displacement

04:50

temperature

04:53

and heat flux

04:55

the area of greatest heat flux is where the slots are located.

04:58

These openings allow cooling air into the rotor interior.

05:02

Not surprisingly,

05:03

this is also where the steepest temperature gradients and maximum stresses occur.

Want to try this? In the Fusion Data Panel, open the start file from Samples > Basic Training > 11 - Simulation > BrakeRotor.

For more, see Thermal stress analysis.

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