Wave splitting of the Timoshenko beam equation in the time domain

In English In recent years, wave splitting in conjunction with invariant imbedding and
Green’s function techniques has been applied with great success to a number
of interesting inverse and direct scattering problems. The aim of the present
paper is to derive a wave splitting for the Timoshenko equation, a fourth
order PDE of importance in beam theory. An analysis of the hyperbolicity
of the Timoshenko equation and its, in a sense, less physical relatives—the
Euler-Bernoulli and the Rayleigh equations—is also provided.