Follow the instructions in the attached PDF files to complete a project report. Please provide the report and any input files for FEA software that you may have used as a single zip compressed folder.
Holismoke
3 years ago
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files (2)ProjREPORTfmt.pdf
Project.pdf
ProjREPORTfmt.pdf
EML 5526 Finite Element Analysis and Applications
PROJECT REPORT
The final project report should be a Word or PDF document that includes figures, tables, references etc. A
format for the project report is given below.
Problem statement: Describe the problems you are solving and for each problem explain what simplifying
assumptions were made to reduce the real physical problem to a FEA model. Show a sketch of your model
and describe your assumptions, applied loads, boundary conditions and material properties.
Description: You have to demonstrate in this section that you understand the physics and the meaning of
your model, and all the parameters / constants used in your FEA model. Describe the different types of
analysis models and elements you can use for this problem and why. List the name of the elements that you
used for the analysis, how you plan to verify the accuracy of the solution. Show pictures of the mesh with
applied loads and BCs for each type of analysis you have done (example, beam model/plane stress/3D/shell
etc.).
Results: Present your results in an easy-to-read form, for example, using tables and graphs wherever
possible. Turn in plots showing relevant results that help you convey important aspects of the solution.
Explain and justify the results obtained. Compare solutions from different finite element models (different
mesh densities/element types etc). Explain how you know your answer has converged?
Conclusions and Discussion: Provide a brief conclusion with a discussion of insights gained during the
project. Part of your grades for the project will depend on demonstrating that you learned something about
FEM (or at least the elements you used) from the project and that you fully understand the models and
solution you obtained. Try to answer questions like: Which type of analysis / elements is the most
appropriate for the problem and why? When is 1D better than 2D or 2D better than 3D etc.? Which
elements converge faster (with respect to number of nodes or equations to be solved) and which one takes
less computation time? Compare results obtained using different element.
NOTE: Your report should be submitted as a PDF file. Input files for your models should be also submitted
separately.
Project.pdf
1
Project EML 5526 Finite Element Analysis and Applications
Apply FEA software to solve the problems listed below. In the final report, you must have the
following for each problem:
a) You must clearly describe the real physical system(s) and any simplifying assumptions.
b) Describe and justify the FEA model you are using. Your description of the model should
include the type of element you used, the boundary conditions that you apply, material
properties you used, as well as a list of assumptions involved in the model. Attach
pictures/figures as needed to explain the model and the results.
c) Compare the solution obtained by FEA software using different models / elements. Study
how your answer changes with mesh density and plot a convergence curve for the
secondary variable (stress/strain/heat flux).
d) Discuss how you have validated your results such as intuitive reasoning, analytical or
approximate solutions or comparing solutions from different elements or models.
Problem 1
The figure below shows the cross-section of a heat exchanger with built in pipes designed to carry
fluid at different temperatures. Assume there are numerous such pipes carrying fluid at 30 and
100oC such that each pipe at high temperature has cold pipes on either side. Assume that the
diameter of the pipes are 0.2m and that they are evenly spaced with distance between the centers
0.4m.
Due to the high velocity of the flow through pipes the temperature at the inside pipe walls can be
assumed to be a constant 30oC for the cold pipes and 100oC for the hot pipes. The thermal
conductivity of the material of the heat exchanger k = 0.3 W/m oC. Outside the concrete pipe, the
surrounding air temperature is 25oC and the natural convection coefficient h = 0.2 W/m2 oC.
Describe the model you would use (by exploiting the periodicity and symmetry of the problem) to
find the temperature distribution in the cross-section and determine the maximum temperature on
0.5m
1m
30oC 100 o C
2
the outside surface of the pipe. Explain your assumptions. Use both a 2D and 3D model for
comparison.
Problem 2)
The frame shown in figure has a square cross section of 20x20mm2. The load P equal to a
magnitude of 100N is applied at the center of the frame from both sides to squeeze it inwards.
The Young’s modulus of the material is assumed to be 200 GPa and Poisson’ ratio equal to 0.3.
a) What is the appropriate model for this problem? (Make use of symmetry)
b) Compare solution with and without using symmetry.
c) Compare solutions using 2D versus 3D model for this problem. How close are the two
solutions?
