[SOLVED] 代写 Scheme matlab Finite Element Methods for Stress Analysis (Ver. 2018/19) A2 – 1

Finite Element Methods for Stress Analysis (Ver. 2018/19) A2 – 1
MECHGM0059/0067: Advanced Computer Applications in Engineering Finite Element Analysis – Assignment 2
THE PROBLEM
Develop a finite element program based on 4 noded quadrilateral elements, using MATLAB to estimate the deformation of the structure shown in Figure 1A.
Part 1: Write a MATLAB program to calculate the stiffness matrix of a two-dimensional plane stress 4 noded quadrilateral element as shown in Figure 1B. Assume E=100 GPa, ʋ=0.3 and plate thickness is 2 mm.
Part 2: Use your program in Part 1 to determine the displacement and strain in Figure 1A, consisted of 2 and 4 quadrilateral elements. Assume E=100 GPa, ʋ=0.3 and plate thickness of 2 mm. Note do not change the dimensions in Figure 1 and use the element arrangement that you think is most appropriate. The dashed lines highlight a possible arrangement for the four elements configuration.
Part 3: Re-run your program in Part 2 to determine the displacement and strain, (i) for three additional elastic modulus (ii) for three additional loading conditions i.e. changing the loading direction from θ=90°. Keep other variables constant.
Your report must compare/comment on the:
 displacement and strain results obtained from different elements, material properties and loading
conditions
 validity of your program, here you are expected to model the same structure using a commercial
program and compare your results against it.
Figure 1: (A) A thin plate loaded. (B) a single four-noded element.
University College London

Finite Element Methods for Stress Analysis (Ver. 2018/19) A2 – 2
REPORT OUTLINE AND MARKING SCHEME
Prepare your report in the format of a journal article based on the following guidelines: Title page
 title of report, your name, affiliation, email address and word count
Abstract ——————————————————————————————————————- Introduction —————————————————————————————————————
 describe the problem, include a sketch/drawing of the problem; describe the aim of the study… Materials and Methods—————————————————————————————————  model description; material properties; boundary conditions and loads; element type and mesh
convergence; simulations, sensitivity tests and measurements (computer models & theory)… Results ———————————————————————————————————————
 results of the simulations in the same order that mentioned in the method…
Discussion —————————————————————————————————————-
 discuss the results of each simulation in the same order as in the Results section; comparison between different models, with theory and/or experiments; comment on the validity and limitations of the model; summary/conclusion…
References
Figures and Tables
Appendix ——————————————————————————————————————
 MATLAB code must be included here
Presentation [20 marks]; technical content [50 marks – Part 1; 10marks; Part 2; 25 marks; Part 3; 15 marks];
discussion and critical analysis [30 marks]
REPORT REQUIREMENTS AND SUBMISSION DATELINE
 Your report must be submitted to the departmental office by 12 noon on 12th February 2019. All
reports need to be accompanied by signed cover-sheet (see Student Intranet Site).
 An identical copy of your report must also be uploaded onto Moodle by the same deadline
above. Penalty points will be applied if they are not identical.
 The main text (excluding title page, abstract, references, equations, tables, figure captions and
appendices) must not exceed 1500 words. Word count must be included on the first page.
 Total number of Figures plus number of Tables must be less than 10.
 Do not include the Figures and Tables in the main text. Include all the Figures and Tables at
the end of the text after References. Figures and Tables must be cross-referenced in the text.
 Include page and continuous line number.
 Your report including all sections must not exceed 14 pages.
 Use font Arial 11, line spacing 1.15, margins 25.4 mm on all sides. The formatting does not apply
to the Appendix.
 International System of Units (or SI units) must be adopted throughout the report.
 Include the parametrised code in the Appendix.
 Note up to 20 marks penalty will apply if you do not follow the guidelines.
 All students are reminded of the UCL plagiarism policies given in the following webpage, viz.
http://www.ucl.ac.uk/current-students/guidelines/plagiarism
REFERENCE
[1] Seshu P. Textbook of finite element analysis. PHI Learning Private Limited 2003.
Dr M Moazen
University College London
3rd December 2018