In this paper, the effect of shaft rotation on its natural frequency is investigated. Considering rotary inertia and gyroscopic momentum, the fourth order differential equation representing the flexural vibration of the shaft is solved in the new...

This technical note addresses the free vibration problem of an elastically restrained Euler–

Bernoulli beam with rotational spring-lumped rotary inertia system at its mid-span hinge. The

governing differential equations...

This paper uses He’s Homotopy Perturbation Method (HPM) to analyze the nonlinear free vibrational behavior of clamped-clamped

and clamped-free microbeams considering the effects of rotary inertia and shear deformation. Galerkin’s projection...

The objective of this paper is to apply He's homotopy perturbation method (HPM) to analyze nonlinear free vibration of simply supported Timoshenko beams considering the effects of rotary inertia and shear deformation. First, the equation governing...

is exploited in the framework of the first-order shear deformation

theory to incorporate the effects of transverse shear deformation and rotary inertia. The efficiency and

accuracy of the present method are demonstrated by obtaining solutions to a...