Wingflexer: Difference between revisions

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→‎Physical model: explain basic oscillation
m (→‎Physical model: explain basic oscillation)
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  force  mass
  force  mass


The wing's motion, measured by the deflection z(t), is governed by the following parameters:
Lift is trying to pull the wing upwards (to the left in the sketch), which is countered by gravity acting on the wing mass. The wing's inertia, in combination with its stiffness and damping characteristics, will create damped oscillations after an initial deflection.
 
Mathematically speaking, the wing's motion, measured by the deflection z(t), is governed by the following parameters:


  k          wing stiffness
  k          wing stiffness
  d          damping
  d          damping
  m_w = m_dw + fuel_frac * m_fuel
  m_w = m_dw + fuel_frac * m_fuel
             Total wing mass. Because the fuel is distributed over the wing, we use
             Total wing mass = dry wing mass + fuel mass. Because the fuel is distributed over the wing, we use
             a fraction of the fuel mass in the calculation.
             a fraction of the fuel mass in the calculation.
  0.5*F_L    lift force/2 (we look at one wing only)
  0.5*F_L    lift force/2 (we look at one wing only)
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