Wednesday, November 3, 2010

Notes on Derived Equation

For column equation, I assumed a cantilever beam.

Properties: E,I, L

EI(d^y/dx^2)=-Px

B.C. (1) x=L, dy/dx=0
(2) =L, y=0

Final equation:
* Reading "Stability of elastic columns with periodic retarded follower forces" (Haitao Ma, Eric A. Butcher)
Force on Column: P1+P2cos(wt)
* constant and time periodic component
* acts at an angle proportional to the slope at that end at a previous time (t-tao)

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