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phd-thesis's Issues

Buckling under external loads

  • Riks simulations for lateral load with tension
  • "Optimum" spoke tension for lateral loads
  • ABAQUS simulations of radial buckling
  • Hinged-column model
  • Analytical model for P_c

Expand derivation of rim mechanics

Thesis committee requested a more detailed derivation of the kinematics and strain energy of a curved, monosymmetric beam. Some key citations on thin-walled beam sections should be added.

Finish introduction

  • Historical notes (Ferris wheel, Eiffel tower,...)
  • Technical literature review

Harmonize conflicting stiffness terms

There is a large number of symbols for stiffness:

K_{rim, n}, K_{lat}, K_n^{lat}, K_{eff, n}

Need to make these clear and consistent across chapters. Is there a simple way to indicate point stiffness vs. mode stiffness?

Make k^tens and k^el consistent throughout

  • Replace {tens} and {el} with macros so that they could be redefined as {matl} and {geom} if desired.
  • Be consistent about using k_uu^{el} in buckling equations when k_uu must be separated.

Cite John Forester's Wheelmen article

Mention his article, "Held up by Downward Pull" in the brief section discussing the role of spoke tension in supporting loads. Relevant to the "stands on hub" or "hangs from rim" argument.

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