Euler-Bernoulli beam equation
= Euler-Bernoulli beam equation
{c}
{title2=$u_{tt}+c_b^2u_{xxxx}=0$}
The Euler-Bernoulli beam equation models transverse linear bending waves in a slender beam. The normalized equation has $c_b=1$ and may be reduced by the <Schrodinger factorization of the elastic beam equation>. Prescribing displacement and curvature at an endpoint supplies two boundary traces for its fourth spatial derivative.