By selecting [A] X, Y, and Z, coordinates as shown in Figure 7.59, clicking [B] OK button, and activating Plot → Replot command Utility Menu, a half-symmetry model, shown in Figure 7.50,
Trang 1Figure 7.57 Move Volumes
Selecting volume 1 and clicking [A] OK button calls up another frame shown in
Figure 7.58
B
A
Figure 7.58 Move Volumes
Trang 2Figure 7.58 shows that the cylinder was moved by [A] 0.05 cm downward, i.e.,
toward the block, after clicking [B] OK.
From Utility Menu select Plot → Replot to view the cylinder positioned in
required location Finally, from Utility Menu select PlotCtrls → View Settings → Viewing Direction The frame shown in Figure 7.59 appears.
B
A
Figure 7.59 Viewing Direction
By selecting [A] X, Y, and Z, coordinates as shown in Figure 7.59, clicking [B] OK button, and activating Plot → Replot command (Utility Menu), a half-symmetry
model, shown in Figure 7.50, is finally created
7.2.2.3 MATERIAL PROPERTIES
Before any analysis is attempted, it is necessary to define properties of the material to
be used
From ANSYS Main Menu select Preferences The frame in Figure 7.60 is
produced
From the Preferences list [A] Structural option was selected as shown in Fig-ure 7.60 From ANSYS Main Menu select Preprocessor → Material Props → Material Models Double click Structural → Linear → Elastic → Isotropic The
frame shown in Figure 7.61 appears
Enter [A] EX= 2.1 × 109for Young’s modulus and [B] PRXY= 0.3 for Poisson’s
ratio Then, click [C] OK and afterward Material: Exit After defining properties
of the material, the next step is to select element type appropriate for the analysis
performed From ANSYS Main Menu select Preprocessor → Element Type → Add/Edit/Delete The frame shown in Figure 7.62 appears.
Click [A] Add in order to pull down another frame, shown in Figure 7.63.
In the left column click [A] Structural Solid and in the right column click [B]
Brick 8node 185 After that click [C] OK and Close in order to finish element type
selection
Trang 3Figure 7.60 Preferences: Structural
A
B
C
Figure 7.61 Material Properties
Trang 4Figure 7.62 Element Types
B
C
A
Figure 7.63 Library of Element Types
Trang 57.2.2.4 MESHING
From ANSYS Main Menu select Preprocessor → Meshing → MeshTool The frame
shown in Figure 7.64 appears
There are a number of options available First step is to go to Size Control: Lines option and click [A] Set button This opens another frame, as shown in Figure 7.65,
prompting to pick lines on which element size is going to be controlled
A
Figure 7.64 MeshTool options
A
Figure 7.65 Element Size on Picked Lines
Trang 6Pick two horizontal lines on the front edge of the cylinder and click [A] OK.
The frame shown in Figure 7.66 appears
A
B
C
Figure 7.66 Element Sizes on Picked Lines
In the box [A] No of element divisions type 3 and change selection [B] SIZE,
NDIV can be changed to No by checking the box and click [C] OK Both selections
are shown in Figure 7.66
Similarly, using MeshTool frame, click Set button in the Size Controls → Lines
option and pick the curved line on the front of the block Click OK afterward The frame shown in Figure 7.66 appears In the box [A] No of element divisions type 4 this time and press [C] OK button.
In the frame MeshTool (see Figure 7.67) pull down [A] Volumes in the option Mesh.
Check [B] Hex/Wedge and [C] Sweep options This is shown in Figure 7.67 Pressing [D] Sweep button brings another frame asking to pick volumes to be
swept (see Figure 7.68)
Pressing [A] Pick All button initiates meshing process The model after meshing looks like the image in Figure 7.69 Pressing [E] Close button in MeshTool frame
ends mesh generation stage
After meshing completed, it is usually necessary to smooth element edges in
order to improve graphic display It can be accomplished using PlotCtrls facility in
Trang 7B
C D
E
Figure 7.67 Checked Hex and Sweep options
A
Figure 7.68 Volume Sweeping
the Utility Menu From Utility Menu select PlotCtrls → Style → Size and Shape.
The frame shown in Figure 7.70 appears
In the option [A] Facets/element edge select 2 facets/edge and click [B] OK
button to implement the selection as shown in Figure 7.70
In solving the problem of contact between two elements, it is necessary to create contact pair Contact Wizard is the facility offered by ANSYS
Trang 8Figure 7.69 Model after meshing process.
A
B
Figure 7.70 Control of element edges
Trang 97.2.2.5 CREATION OF CONTACT PAIR
From ANSYS Main Menu select Preprocessor → Modelling → Create → Contact Pair As a result of this selection, a frame shown in Figure 7.71 appears.
A
Figure 7.71 Contact Manager
Contact Wizard button is located in the upper left-hand corner of the frame.
By clicking [A] on this button a Contact Wizard frame, as shown in Figure 7.72, is produced
B A
C
Figure 7.72 Contact Wizard (target)
Trang 10Figure 7.73 Select body for Target
In the frame shown in Figure 7.72 select
[A] Body (volume), [B] Flexible, and press [C]
Pick Target The frame shown in Figure 7.73 is
produced
Select block as target by picking on it and
press [A] OK button in the frame of Figure 7.73.
Again Contact Wizard frame appears and this
time Next button should be pressed to obtain the
frame shown in Figure 7.74
Press [A] Pick Contact button to create the
frame in Figure 7.75
Pick cylinder as contact and press OK
but-ton Again Contact Wizard frame appears where
Next button should be clicked The frame of
Figure 7.76 appears
In this frame select [A] Coefficient of
Fric-tion = 0.2 and check box [B] Include initial
penetration Next press [C] Optional settings
button to call up another frame In the new frame
(Figure 7.77), Normal penalty stiffness = 0.1
should be selected Also, Friction tab located in
the top of the frame menu should be activated
and Stiffness matrix = Unsymmetric selected.
A
Figure 7.74 Contact Wizard (contact)
Trang 11Figure 7.75 Select Bodies for Contact
Pressing [A] OK button brings back Contact Wizard frame (see Figure 7.76) where the [D] Create button should be pressed.
Created contact pair is shown in Figure 7.78
Finally, Contact Wizard frame should be closed by pressing Finish button Also,
Contact Manager summary information frame should be closed.
7.2.2.6 SOLUTION
Before the solution process can be attempted, solution criteria have to be specified
As a first step in that process, symmetry constraints are applied on the half-symmetry model
From ANSYS Main Menu select Solution → Define Loads → Apply → Struc-tural → Displacement → Symmetry BC → On Areas The frame shown in
Figure 7.79 appears
Three horizontal surfaces should be selected by picking them and then clicking
[A] OK As a result, image shown in Figure 7.80 appears.
The next step is to apply constraints on the bottom surface of the block Form
ANSYS Main Menu select Solution → Define Loads → Apply → Structural → Displacement → On Areas The frame shown in Figure 7.81 appears.
Trang 12A
C D
Figure 7.76 Contact Wizard (optional settings)
After selecting required surface (bottom surface of the block) and pressing [A] OK button, another frame appears in which the following should be selected: DOFs to be
constrained = All DOF and Displacement value = 0 Selections are implemented by pressing OK button in the frame.
Because the cylinder has been moved toward the block by 0.05 cm, in order to create interference load, the analysis involves a large displacement effects
From ANSYS Main Menu select Solution → Analysis Type → Sol’n Controls.
The frame shown in Figure 7.82 appears
In the pull down menu select [A] Large Displacement Static Further selected options should be: [B] Time at end of load step = 100; [C] Automatic time stepping
(pull down menu)= Off; and [D] Number of substeps = 1 All specified selections are shown in Figure 7.82 Pressing [E] OK button implements the settings and closes
the frame
Now the modeling stage is completed and the solution can be attempted From
ANSYS Main Menu select Solution → Solve → Current LS A frame showing review
of information pertaining to the planned solution action appears After checking that
Trang 13Figure 7.77 Contact Properties (optional settings)
Figure 7.78 Contact Pair created by Contact Wizard
Trang 14Figure 7.79 Apply SYMM on Areas
Figure 7.80 Symmetry constraints applied on three horizontal areas
Trang 15Figure 7.81 Apply U,ROT on Areas
A
B
C
D
E
Figure 7.82 Solution Controls
Trang 16everything is correct, select File → Close to close that frame Pressing OK button
starts the solution When the solution is completed, press Close button.
In order to return to the previous image of the model select Utility Menu → Plot
→ Replot.
7.2.2.7 POSTPROCESSING
Solution results can be displayed in a variety of forms using postprocessing facility For the results to be viewed for the full model, the half-symmetry model used for analysis has to be expanded
From Utility Menu select PlotCtrls → Style → Symmetry Expansion → Periodic/Cyclic Symmetry Figure 7.83 shows the resulting frame.
A
B
Figure 7.83 Periodic/Cyclic Symmetry Expansion
In the frame shown in Figure 7.83 [A] Reflect about XZ was selected After clicking [B] OK button in the frame and selecting from Utility Menu, Plot → Elements, an
image of full model, as shown in Figure 7.84, is produced
The objective of the analysis presented here was to observe stresses in the cylinder produced by the reduction of the initial gap between two blocks by 0.05 cm (an
interference fit) Therefore, form ANSYS Main Menu select General Postproc → Read Results → By Load Step The frame shown in Figure 7.85 is produced.
The selection [A] Load step number = 1, shown in Figure 7.85, is implemented
by clicking [B] OK button.
From ANSYS Main Menu select General Postproc → Plot Results → Contour Plot → Nodal Solu In the resulting frame (see Figure 7.86) the following selections
are made: [A] Item to be contoured = Stress and [B] Item to be contoured = von Mises (SEQV) Pressing [C] OK implements selections.
Contour plot of von Mises stress (nodal solution) is shown in Figure 7.87
Trang 17Figure 7.84 Full model with mesh of elements and applied constraints.
A
B
Figure 7.85 Read Results by Load Step Number
Trang 18C
B
Figure 7.86 Contour Nodal Solution Data
Figure 7.87 Contour plot of nodal solution (von Mises stress)
Trang 19Figure 7.87 shows von Mises stress contour for the whole assembly If one is inter-ested in observing contact pressure on the cylinder alone then a different presentation
of solution results is required
A B
C
D
Figure 7.88 Select Entities
From Utility Menu choose Select → Entities The frame shown in Figure 7.88
appears
In the frame shown in Figure 7.88, the
following selections are made: [A] Elements (first pull down menu); [B] By Elem Name (second pull down menu); and [C] Element
Name = 174 The element with the number
174 was introduced automatically during the process of creation of contact pairs described
earlier It is listed in the Preprocessor → Element Type → Add/Edit/Delete option.
Selections are implemented by pressing [D]
OK button.
From Utility Menu select Plot → Ele-ments Image of the cylinder with mesh of
elements is produced (see Figure 7.89)
It is seen that the gap equal to 0.05 units exists between two half of the cylinder It
is the result of moving half of the cylinder toward the block (by 0.05 cm) in order to create loading at the interface
From ANSYS Main Menu select General
Postproc → Plot Results → Contour Plot → Nodal Solu The frame shown in Figure 7.90
appears
In the frame shown in Figure 7.90, the following selections are made: [A] Contact and [B] Pressure These are items to be contoured Pressing [C] OK implements
selections made In response to that an image of the cylinder with pressure contours
is produced as shown in Figure 7.91
7.2.3.1 PROBLEM DESCRIPTION
Configuration of the contact to be analyzed is shown in Figure 7.92
This contact problem, which in practice is represented by a wheel-on-rail config-uration, is well known in engineering Also, the characteristic feature of the contact
is that, nominally, contact between elements takes place along line In reality, this is never the case due to unavoidable elastic deformations and surface roughness As a consequence of that, surface contact is established between elements
This is a 3D analysis and advantage could be taken of the inherent symmetry of the model Therefore, the analysis will be carried out on a quarter-symmetry model only The objective of the analysis is to observe the stresses in the cylinder and the rail when an external load is imposed on them
Trang 20Figure 7.89 Cylinder with surface elements (174).
A
B
C
Figure 7.90 Contour Nodal Solution Data