Longitudinal free vibration of inhomogeneous elastic straight strut with a variable cross section (Q1084937)

The scope of the present article, motivated by the case of a composite wooden propeller of an airplane, is to deal tentatively with the longitudinal free vibration problem of an elastic straight bar in a more general mathematical treatment. In this analysis, we have assigned to the modulus of elasticity, the bar cross section as well as the mass per unit length of the bar, an exponential function variation, and then found a general solution, wherein three parameters were considered as the main factors to affect the longitudinal free vibration of the inhomogeneous elastic straight bar with variable cross section.