Two-Person Graded HW#1 MAE 3600 – Dynamic Systems and Control, Winter 2020 Modeling Dynamic Systems Due date: Friday, Feb 28, 2020 Each two-person team will perform the following basic steps for this first graded homework assignment: 1. Find a journal article or conference paper in the mechanical and aerospace engineering literature that provides a good illustration of system modeling. The best source is likely the ASME Journal of Dynamic Systems, Measurement, and Control (this journal is accessible on campus using MU’s electronic subscription). The system you select should be a real-world example – not an academic textbook example! Ideally, your system should be composed of at least two mixed disciplines, i.e., electromechanical, fluid- mechanical, etc. 2. Develop the modeling equations by applying first principles. The ASME paper will (or may) provide (some) help with the modeling equations. In many cases the article will simply state the modeling equations. Your team should derive the complete modeling equations (ODEs) from applying first principles, i.e., Newton’s laws, Kirchhoff’s laws, conservation of mass, etc. In some cases, the system in the journal article may be very complicated and/or the authors’ explanation may be unclear or incomplete. In this case, apply reasonable assumptions to the system in order to arrive at a model (explain how your derivation result differs from the modeling equations in the article if you neglect terms). Do your work “by hand” like a homework assignment, but in a neat and orderly manner. Sketching diagrams is essential (you may use computer-drawn figures if you want but it is not necessary). Your end result (the modeling equations) should be placed at the end of the assignment in a box. Typed equations or neat printing is acceptable. Comment on the order of the system, linear vs. nonlinear, etc. 3. Finally, discuss the format the authors used to analyze their system (for example, state- variable equations, state-space representation, transfer functions, etc). Comment on whether the authors’ work involved simulations (if so, what software?) and/or experiments. My metric for grading this homework will be: (1) Presentation, organization, completeness (report format) 25% (2) Technical merit (i.e., do the ODEs make sense?) 50% (3) Clarity, style, and grammar (explain your steps!) 25% Your report should be typed (hand-written equations are OK). Attach the appropriate pages of your selected journal article that show the modeling equations. Requirements for good reports (hints and advice) follow (all points will not necessarily apply to this first assignment): 1. The report should be self-contained and complete. I should be able to give the report to a colleague (like Profs. Fales or Xin) and they should be able to fully understand the objectives and results. 2. Equations have numbers, such as (1), (2), flushed to the right-hand margin. 3. All symbols must be defined. 4. Use appropriate report headings, such as Introduction, System Modeling, System Analysis, Numerical Simulation Results, etc. 5. All figures are numbered. All figures have captions. All figures are cited in the text and discussed (otherwise – why include the figure?). 6. Do not use “text directions” such as “…as shown in the figure below…” 7. Do not use colloquial language, such as “we plugged in …” 8. Use clear, concise language with good grammar. Use active language (not passive), such as “Figure 3 shows the free-body diagram of the …”
