Aerospace Engineering > GATE 2011 > Partial Differential Equations
The partial differential equation (PDE) governing free vibrations of a uniform Euler–Bernoulli beam is given by:
EI ∂4w/∂x4 + m ∂2w/∂t2 = 0,
where EI is the flexural stiffness, m is the mass per unit length, w(x, t) is the bending displacement,
x is the coordinate along the beam length, t is time, and L is the beam length.
To solve the PDE, the number of boundary conditions (BC) and initial conditions (IC) needed are
Correct : d
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