Axisymmetric Rotating Disk Workshop 3A Optimizing the Design.

Axisymmetric Rotating Disk

Workshop 3AOptimizing the Design

January 30, 2001

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3A. Optimizing the DesignAxisymmetric Rotating DiskDescription

• A high-speed rotating disk made of steel is to be designed for nearly uniform stress distribution at an operating speed of 15,000 rpm. Design constraints are as follows:– Maximum equivalent stress < 25000 psi– First natural frequency > 1000 Hz

rimymid

10.0R4.0R

hub

0.6 0.4

1.6

1.0xmid

• Properties:E = 30e6 psi = 7.2e-4 lb-s2/in4

= 0.3

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3A. Optimizing the Design...Axisymmetric Rotating DiskInstructions1. Enter ANSYS (or clear the database) and change the jobname to rotdisk.

2. Establish the initial design by reading in the analysis file rotdisk.lgw (which was created in Workshop 2A).

– Utility Menu > File > Read Input from…• Double click on rotdisk.lgw

3. Enter the optimizer and identify the analysis file.– Main Menu > Design Opt > -Analysis File- Assign…

• Choose rotdisk.lgw and press [OK]

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3A. Optimizing the Design...Axisymmetric Rotating Disk4. Identify optimization variables.

4a. Design variables:– (Design Opt) > Design Variables…

• [Add…]– NAME = THETAHUB– MIN = 30– MAX = 90– [Apply]

– NAME = THETARIM– MIN = 45– MAX = 135– [Apply]

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3A. Optimizing the Design...Axisymmetric Rotating Disk4a. Design variables (continued):

– NAME = XMID– MIN = 0.5– MAX = 4.5– TOLER = 0.05– [Apply]

– NAME = YMID– MIN = 0.25– MAX = 1.5– TOLER = 0.05– [OK]

• [Close]

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3A. Optimizing the Design...Axisymmetric Rotating Disk4b. State variables:

– (Design Opt) > State Variables…• [Add…]

– NAME = SMAX– MIN = leave blank– MAX = 25000– [Apply]

– NAME = FREQ2– MIN = 1000– MAX = leave blank– [OK]

• [Close]

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3A. Optimizing the Design...Axisymmetric Rotating Disk4c. Objective function:

– (Design Opt) > Objective…• NAME = SDEV• [OK]

5. Run the optimization. This involves specifying run-time controls and the method, saving the optimization database, and executing the run.

5a. Run-time controls:– (Design Opt) > Controls…

• Change OPKEEP setting from “Do not save” to “Save”• [OK]

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3A. Optimizing the Design...Axisymmetric Rotating Disk5b. Optimization method:

– (Design Opt) > Method/Tool…• MNAME = Sub-Problem• [OK]• [OK] on the next dialog

5c. Save the OPT database:– (Design Opt) > -Opt Database- Save…

• Enter rotdisk.opt0 as the file name• [OK]

5d. Execute the run:– (Design Opt) > Run…

• Review the settings and press [OK]

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3A. Optimizing the Design...Axisymmetric Rotating Disk6. Review results: start by listing design sets, then graph the objective function and state

variables versus set number.

6a. Design set listing:– (Design Opt) > -Design Sets- List…

• List option = ALL sets• [OK]

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3A. Optimizing the Design...Axisymmetric Rotating Disk6b. Graphs:

– (Design Opt) > Graphs/Tables…• X-variable parameter = Set number• Y-variable parameter = SDEV• [OK]

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3A. Optimizing the Design...Axisymmetric Rotating Disk6b. Graphs (continued):

– (Design Opt) > Graphs/Tables…• X-variable parameter = Set number• Y-variable parameter = SMAX. (Also unhighlight SDEV by clicking on it.)• [OK]

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3A. Optimizing the Design...Axisymmetric Rotating Disk7. The next step in reviewing results is to restore the best design. First, however, we will

save the optimization database to a file.– (Design Opt) > -Opt Database- Save…

• Filename = rotdisk.opt1• [OK]

– Main Menu > Finish– Input window:

• resume,rotdisk,bdb• /post1• file,rotdisk,brst• lplot

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3A. Optimizing the Design...Axisymmetric Rotating Disk7. (continued)

– Main Menu > General Postproc > -Read Results- First Set– (General Postproc) > Plot Results > Nodal Solu…

• Item, Comp = Stress, von Mises SEQV• [OK]

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3A. Optimizing the Design...Axisymmetric Rotating Disk8. This workshop is now complete. If time permits, continue the optimization with:

– a tighter objective function tolerance– only feasible designs selected

Otherwise, exit ANSYS without saving the database.

Hexagonal Steel Plate

Workshop 3BOptimizing the Design

January 30, 2001


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3B. Optimizing the DesignHexagonal Steel PlateDescription

• An overdesigned steel plate under tension loading of 50 MPa needs to be optimized for minimum weight subject to a maximum von Mises stress limit of 150 MPa. You are allowed to vary the thickness t1 and fillet radius fil.

• Properties:– Thickness = 10 mm– E = 2.07e5 MPa– = 0.3

40

100t1

t1

t1

fil

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3B. Optimizing the Design...Hexagonal Steel PlateInstructions1. Enter ANSYS (or clear the database) and change the jobname to hexplate.

2. Establish the initial design by reading in the analysis file hexplate.lgw (which was created in Workshop 2B).

– Utility Menu > File > Read Input from…• Double click on hexplate.lgw

3. Enter the optimizer and identify the analysis file.– Main Menu > Design Opt > -Analysis File- Assign…

• Choose hexplate.lgw and press [OK]

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3B. Optimizing the Design...Hexagonal Steel Plate4. Identify optimization variables.

4a. Design variables:– (Design Opt) > Design Variables…

• [Add…]– NAME = FIL– MIN = 5– MAX = 10– [Apply]

– NAME = T1– MIN = 20.5– MAX = 35– [OK]

• [Close]

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3B. Optimizing the Design...Hexagonal Steel Plate4b. State variables:

– (Design Opt) > State Variables…• [Add…]

– NAME = SMAX– MIN = leave blank– MAX = 150– [OK]

• [Close]

4c. Objective function:– (Design Opt) > Objective…

• NAME = VTOT• TOLER = 1.0• [OK]

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3B. Optimizing the Design...Hexagonal Steel Plate5. Run the optimization. This involves specifying run-time controls and the method,

saving the optimization database, and executing the run.

5a. Run-time controls:– (Design Opt) > Controls…

• Change OPKEEP setting from “Do not save” to “Save”• [OK]

5b. Optimization method:– (Design Opt) > Method/Tool…

• MNAME = Sub-Problem• [OK]• [OK] on the next dialog

January 30, 2001


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3B. Optimizing the Design...Hexagonal Steel Plate5c. Save the OPT database:

– (Design Opt) > -Opt Database- Save…• Filename = hexplate.opt0• [OK]

5d. Execute the run:– (Design Opt) > Run…

• Review the settings and press [OK]

January 30, 2001


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3B. Optimizing the Design...Hexagonal Steel Plate6. Review results: start by listing design sets, then graph the objective function and state

variables versus set number.

6a. Design set listing:– (Design Opt) > -Design Sets- List…

• List option = ALL sets• [OK]

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3B. Optimizing the Design...Hexagonal Steel Plate6b. Graphs:

– (Design Opt) > Graphs/Tables…• X-variable parameter = Set number• Y-variable parameter = VTOT• [OK]

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3B. Optimizing the Design...Hexagonal Steel Plate6b. Graphs (continued):

– (Design Opt) > Graphs/Tables…• X-variable parameter = Set number• Y-variable parameter = SMAX. (Also unhighlight VTOT by clicking on it.)• [OK]

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3B. Optimizing the Design...Hexagonal Steel Plate7. The next step in reviewing results is to restore the best design. First, however, we will

save the optimization database to a file.– (Design Opt) > -Opt Database- Save…

• Filename = hexplate.opt1• [OK]

– Main Menu > Finish– Input window:

• resume,hexplate,bdb• /post1• file,hexplate,brst• lplot

January 30, 2001


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3B. Optimizing the Design...Hexagonal Steel Plate7. (continued)

– Main Menu > General Postproc > -Read Results- First Set– (General Postproc) > Plot Results > Nodal Solu…

• Item, Comp = Stress, von Mises SEQV• [OK]

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3B. Optimizing the Design...Hexagonal Steel Plate8. Exit ANSYS:

– Toolbar > QUIT• Choose Quit - No Save!, then [OK]

Axisymmetric Rotating Disk Workshop 3A Optimizing the Design.

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Transcript of Axisymmetric Rotating Disk Workshop 3A Optimizing the Design.