User:Eml4500.f08/HW report table/The best of HW6

 Under construction; not final (but close to being stable after a couple of weeks). The intention here is to document the best features in any HW report for the readers (including you); if you see excellent features in any HW report (including your team's) that I may have missed noticing, don't hesitate to let me know. I don't have time to read all HW reports in detail. In fact, due to time constraint, I only selectively looked at a few important features. On the other hand, I also added some annotations (e.g., related to errors) in the HW reports that I looked through for the benefit of everyone. Eml4500.f08 21:57, 26 November 2008 (UTC)


 * classnotes graded over 100%
 * principle of virtual work (PVW). Complete (not necessarily the "most" complete report since I did not read all reports): Team Bike (with annotations), with some errors, Team ATeam(Sean), with errors.
 * model problem: elastodynamics of a bar with varying cross section and varying Young's modulus
 * motivation: discrete equation of motion
 * multi-dofs system
 * single dof system
 * continuous case
 * integration by parts
 * axial forces at the boundary of the bar
 * selection of weighting function: discrete case (motivation), continuous case
 * comparison between continuous PVW and discrete PVW. Best table: Team Wiki1
 * interpolation
 * motivation
 * detailed expression
 * element stiffness matrix $$\displaystyle \mathbf k^{(e)}$$. Best overall solution and explanation: Team Wiki1
 * linearly tapered bar with linearly varying Young's modulus
 * particularization to case with $$\displaystyle E={\rm const} $$, $$\displaystyle A={\rm const} $$
 * element stiffness matrix $$\displaystyle \mathbf k^{(e)}_{ave}$$ by averaging $$\displaystyle E$$ and $$\displaystyle A$$ separately.
 * difference $$\displaystyle \mathbf k^{(e)} - \mathbf k^{(e)}_{ave}$$. NOTE: Several teams make an error here; Team Bike (with annotations), Team ATeam(Sean), Team FEABBQ (with annotations), etc.


 * detection of mechanisms by eigenvalue problem: Redo. Complete (not necessarily the "most" complete report since I did not read all reports): Team Bike (with annotations). See also Team ATeam(Sean).
 * square truss system
 * without diagonal brace
 * with diagonal brace


 * matlab problem graded over 100%
 * electric pylon problem
 * static analysis
 * element with highest compressive stress
 * element with highest tensile stress
 * plot of undeformed and deformed shapes
 * results: highest compressive and tensile stresses
 * Team Bike (with annotations): -8.6957 MPa, 9.0511 MPa. See also Team ATeam(Sean).
 * vibrational frequency analysis
 * lumped mass matrix
 * generalized eigenvalue problem
 * results: 3 highest vibration periods (3 lowest frequencies)
 * Team Bike (with annotations): 0.54654 s (1st mode, lowest eigenvalue), 0.12647 s (2nd mode), 0.11587 s (3rd mode). See also Team ATeam(Sean) with the same comments as for Team Bike.

EAS 4200C, The best of HW6