Example55 Rotational Displacement Analysis of Plate

General

  • A plate bent in 90-degree angle is analyzed.
     

  • Analysis results will be compared where the option of [Rotate at constant radius] is selected and deselected for the Rotational displacement.

  • Unless specified in the list below, the default conditions will be applied.

Analysis Space

Item

Settings

Analysis Space

3D

Model unit

mm

Analysis Conditions

Select [Large displacement] in the Large Deformation as deformation of 90° is large.

 

Item

Setting

Solver

Mechanical Stress Analysis [Galileo]

Analysis Type

Static analysis

Large Deformation

Select Large displacement

The Step/Thermal Load tab is set as follows.

Tab

Setting Item

Setting

Step/Thermal Load

Options for the Multi-Step Analysis

Save the results of substeps: Deselect

 

Graphical Objects

The model is a box solid body with edge length of 200mm. The material is iron.

Fix the left end in the X direction. Fix the 50mm area of the left end at its bottom in the Z direction.
The plate is bent at its center in 90-degree angle. Set the rotational displacement on the 50mm area of the right end at its top side.

Set the general mesh size at 2.

 

Body Attributes and Materials

Body Number/Type

Body Attribute Name

Material Name

0/Solid

PLATE

007_Fe *1)

1,2/Face

No setup *2)

No setup *2)

*Note 1) Select from the Material DB.

*Note 2) Imprinting body for the boundary condition.

Boundary Condition

Boundary Condition Name/Topology

Tab

Boundary Condition Type

Settings

xFix/Face

Mechanical

Displacement

Select the X Component.
UX=0

zFix/Face

Mechanical

Displacement

Select the Z Component.
UZ=0

Rot/Face

Mechanical

Rotational displacement

Coordinates on the Axis
(100, 0.0, 2)

Vectors of the Axis
(0.0, 1, 0.0)

Rotation Angle
90[deg]

Rotate at constant radius
Model 1: Deselect, Model 2: Select

 

Results

The deformation of the Model 1 is shown below. The contour diagrams show displacement in X direction and Z direction respectively.

 

The displacement at the end and middle of the plate shows
-50 and -100 in the X direction as defined.

The displacement in the Z direction shows -75.856 and -125.857.

The results are larger than -50, and -100 in the case where the radius is constant. It indicates the radius changed during the rotation.

 

The reactive force at the boundary condition [Rot] in the table shows

almost 0 in the Y and Z directions and -798[N] in the X direction only.

If [Rotate at constant radius] is deselected, the force will be applied in the rotational direction during the rotation.

 

The deformation of the Model 2 is shown below. The contour diagrams below show displacement in X direction and Z direction respectively.

Unlike Model 1, the plate is bent in a complex way.

 

The displacement at the end and middle of the plate shows
-50 and -100 in the X direction as defined.

The displacement in the Z direction also shows -50 and -100.

It indicates the model is rotating at the constant radius.

 

The reactive force at the boundary condition [Rot] in the table shows

almost 0 in the Y direction and -4759[N] in the X direction and 4727[N] in the Z direction.

Unlike the Model 1, large force is taking place in the Z direction too.

If [Rotate at constant radius] is selected, a force is required to keep the radius constant.
Therefore, the force in Z direction is generated.