Workshop 9-1NAS101 WorkshopsCopyright 2001 MSC.Software Corporation

WORKSHOP 9

Buckling Analysis of Plate

Workshop 9-2NAS101 WorkshopsCopyright 2001 MSC.Software Corporation

Workshop 9 (cont.)

1.Model descriptiona.The model dimension is 20 inch by 8 inchb.The following boundary conditions are applied to the model:

Pin at the left end Rollers at the right end Zero vertical deflections at top and bottom edges

c.Apply 100psi compressive loads at the right edge Total loads at right edge = (100) (8) (.01) = 8

• Apply 1 lb each at grid points 11 and 55• Apply 2 lbs each at grid points 22, 33, and 44

Workshop 9-3NAS101 WorkshopsCopyright 2001 MSC.Software Corporation

Workshop 9 -- Boundary Conditions

Simply supportedSimply supported

Supported on rollersSupported on rollersSupported in the Supported in the Vertical DirectionVertical Direction

Supported in the Supported in the Vertical DirectionVertical Direction

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Workshop 9 -- Applied Loads

22

2222

11

11

Workshop 9-5NAS101 WorkshopsCopyright 2001 MSC.Software Corporation

Create the first surface

a. Create / Surface / XYZ.

b. Enter <20 8 0> for the Vector Coordinate List.

c. Use [0 0 0] as the Origin Coordinate List.

d. Click Apply.

Step 1. Create Geometry: Create/Surface/XYZ

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Create mesh seeds that will be used to guide the mesh.

a. Create / Mesh Seed / Uniform.

b. Input 4 in the Number of Elements.

c. Select Surface 1.1 as the Curve List.

d. Click Apply.

e. Input 10 in the Number of Elements.

f. Select Surface 1.4 as the Curve List.

g. Click Apply.

Step 2. Finite Element: Create /Mesh Seed/Uniform

Surface 1.1

Surface 1.4

Workshop 9-7NAS101 WorkshopsCopyright 2001 MSC.Software Corporation

Step 2A. Finite Element: Create /Mesh/Surface

Create surface mesh based on the mesh seeds assigned in the previous steps.

a. Create / Mesh / Surface.b. Select Quad as the Elem

Shape.c. Select IsoMesh as the Mesher.d. Enter Surface 1 for Surface

List.e. Click Apply.

Workshop 9-8NAS101 WorkshopsCopyright 2001 MSC.Software Corporation

Step 3. Material: Create /Isotropic/ Manual Input

Create the material aluminum.a. Create / Isotropic / Manual

Input.b. Type in alum for the Material

Name.c. Click on the Input Properties

button to bring up the Input Option window.

d. Enter 2.9E7 for the Elastic Modulus , and 0.3 for Poisson Ratio

e. Click OK to return to the main material menu.

f. Click Apply.

Workshop 9-9NAS101 WorkshopsCopyright 2001 MSC.Software Corporation

Step 4. Element Properties: Create /2D/ Shell

Create the element properties.a. Create / 2D / Shell.b. Enter plate as the Property

Set Name.c. Click on the Input Properties

button.d. Click on the alum in the

Material field on the bottom section of the Input Properties window.

e. Enter 0.01 as the thickness for the plate.

f. Click OK.g. Select Surface 1 for the

Application Regionh. Click Add.i. Click Apply.

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Step 5. Loads/BCs: Create/ Displacement/Nodal

Create the boundary condition for the model.

a. Create / Displacement / Nodal.

b. Enter simply_supported_left as the New Set Name.

c. Click on the Input Data.d. Enter <0 0 0> for the

Translation field.e. Click OK.f. Click on Select

Application Region.g. Select FEM as the

geometry filter..h. Select Node

1,12,23,34,45 for the Application Region.These are nodes along the left edge of the rectangle.

i. Click Add.j. Click OK.k. Click Apply.

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Step 5A.(cont.) Loads/BCs: Create Boundary Conditions

After you have completed previous steps,then you see the constraints on the model as shown below:

Workshop 9-12NAS101 WorkshopsCopyright 2001 MSC.Software Corporation

Step 6. Loads/BCs: Create/ Displacement/Nodal

Create the boundary condition for the model.

a. Create / Displacement / Nodal.

b. Enter support_vertical_bottom as the New Set Name.

c. Click on the Input Data.d. Enter <, , 0> for the

Translation field.e. Click OK.f. Click on Select

Application Region.g. Select FEM as the

geometry filter..h. Select Node 1 through

11 for the Application Region.These are nodes on the bottom

i. Click Add.j. Click OK.k. Click Apply.

Workshop 9-13NAS101 WorkshopsCopyright 2001 MSC.Software Corporation

Step 6A.(cont.) Loads/BCs: Create Boundary Conditions

After you have completed previous steps,then you see the constraints on the model as shown below:

Workshop 9-14NAS101 WorkshopsCopyright 2001 MSC.Software Corporation

Step 7. Loads/BCs: Create/ Displacement/Nodal

Create the boundary condition for the model.

a. Create / Displacement / Nodal.

b. Enter support_vertical_top as the New Set Name.

c. Click on the Input Data.d. Enter <, , 0> for the

Translation field.e. Click OK.f. Click on Select

Application Region.g. Select FEM as the

geometry filter..h. Select Node 45 through

55 for the Application Region.These are nodes on the top edge of the rectangle.

i. Click Add.j. Click OK.k. Click Apply.

Workshop 9-15NAS101 WorkshopsCopyright 2001 MSC.Software Corporation

Step 7A.(cont.) Loads/BCs: Create Boundary Conditions

After you have completed previous steps,then you see the constraints on the model as shown below:

Workshop 9-16NAS101 WorkshopsCopyright 2001 MSC.Software Corporation

Step 8. Loads/BCs: Create/ Displacement/Nodal

Create the boundary condition for the model.

a. Create / Displacement / Nodal.

b. Enter supported_rollers_right as the New Set Name.

c. Click on the Input Data.d. Enter <, 0, 0> for the

Translation field.e. Click OK.f. Click on Select

Application Region.g. Select FEM as the

geometry filter..h. Select Node

11,22,33,44,55 for the Application Region.These are nodes on the right edge of the rectangle.

i. Click Add.j. Click OK.k. Click Apply.

Workshop 9-17NAS101 WorkshopsCopyright 2001 MSC.Software Corporation

Step 8A.(cont.) Loads/BCs: Create Boundary Conditions

After you have completed previous steps,then you see the constraints on the model as shown below:

Workshop 9-18NAS101 WorkshopsCopyright 2001 MSC.Software Corporation

Step 9. Loads/BCs: Create/Force /Nodal

Apply distributed load to the model.

a. Create / Force / Nodalb. Enter edge as the New

Set Name.c. Click on the Input Data

button.d. Enter <-1 0 0> in the Force

field.e. Click OK.f. Click on Select

Application Region button.

g. Select FEM as the Geometry Filter.

h. Select Node 11,55 for the Application Region.

i. Click Add, and OK.j. Click Apply.

Workshop 9-19NAS101 WorkshopsCopyright 2001 MSC.Software Corporation

Step 9A.(cont.) Loads/BCs: Loading on the right edge

After you have completed previous steps,then you see the load on the model as shown below:

Workshop 9-20NAS101 WorkshopsCopyright 2001 MSC.Software Corporation

Step 10. Loads/BCs: Create/Force /Nodal

Apply distributed load to the model.

a. Create / Force / Nodalb. Enter middle as the New

Set Name.c. Click on the Input Data

button.d. Enter <-2 0 0> in the Force

field.e. Click OK.f. Click on Select

Application Region button.

g. Select FEM as the Geometry Filter.

h. Select Node 22,33,44 for the Application Region.

i. Click Add, and OK.j. Click Apply.

Workshop 9-21NAS101 WorkshopsCopyright 2001 MSC.Software Corporation

Step 10A.(cont.) Loads/BCs: All the loadings plus constraints

After you have completed previous steps,then you see the loads and constraints on the model as shown below:

Workshop 9-22NAS101 WorkshopsCopyright 2001 MSC.Software Corporation

Step 11. Analysis: Analyze/ Entire Model/Full Run

Submit the model for analysis.a. Analyze / Entire Model / Full

Run.b. Click on the Solution Type.c. Select BUCKLING as the

Solution Type.d. Click OK.e. Click on the Solution

Parametersf. The menu called Solution

Parameters is shown on next page

Workshop 9-23NAS101 WorkshopsCopyright 2001 MSC.Software Corporation

Step 12. Analysis: Analyze/ Entire Model/Full Run

a. Uncheck the box label Large

Displacementsb. Click on Eigenvalue Extraction

button.c. Extraction Method is Lanczos

Put in number 5 for Number of Desired Roots.

d. Click OK.e. Click OKf. Click OKg. Click APPLY

Workshop 9-24NAS101 WorkshopsCopyright 2001 MSC.Software Corporation

Step 13. Analysis: Attach XDB/ Result Entities/ Local

Attach the XDB result file.a. Attach XDB / Result Entities /

Local.b. Click on Select Result File.c. Select the file called w9.xdbd. Click OK.e. Click Apply.

Workshop 9-25NAS101 WorkshopsCopyright 2001 MSC.Software Corporation

Step 14. Results: Create/Quick Plot

Create a Quick Plot of the results.a. Create / Quick Plot.b. Select SC2 result case.c. Select Eigenvectors, Translational for both the Fringe results and

for the Deformation d. Click APPLY.