Forced Response to Multi-Fractional Damped Euler-Bernoulli Beam (Class 7)

This chapter discusses the forced response to a multi-fractional damped Euler–Bernoulli beam. By multi-fractional, we mean that inertia force, internal and external damping forces are of fractional orders. The contributions in this chapter are in three aspects. (1) Equivalent equation of fractional coordinates of a multi-fractional damped Euler–Bernoulli beam. (2) The analytic representation of the forced response to such a beam. (3) A new variation of the Rayleigh damping.