In this paper, differential quadrature element method is used to analyze free transverse
vibration of multi-stepped rotors resting on multiple bearings. Timoshenko beam theory is …

This work presents a new method here named Continuous Segment Method (CSM) for
modeling complex rotor systems with multiple disks and bearings. It consists in dividing the …

The general purpose of the present study is to investigate the geometrically non-linear
forced vibration of multi-stepped beams carrying masses. This study was carried out on the …

In this paper, an exact solution is presented for whirling analysis of rotors carrying
concentrated masses. Effect of various parameters on the forward and backward …

The mathematical modeling of rotor systems is a challenging task, mainly due to the
complex nature of such systems, that might posses multiple rotors, bearings, disks and more …

This study investigates the mode properties of a two-stage planetary gear (TSPG) system
with short intermediate shafts. For this purpose, the rotating intermediate shafts in this …

A Chebyshev-tau method based on Euler–Bernoulli beam theory and Timoshenko beam
theory is applied to the free vibration analyses of stepped beams. The lateral deflection and …

In this paper, exact solution for two-plane transverse vibration analysis of axial-loaded
MULTI-STEP TIMOSHENKO ROTOR carrying CONCENTRATED MASS es is presented …

We study higher-order elliptic operators on one-dimensional ramified structures (networks).
We introduce a general variational framework for fourth-order operators that allows us to …

The scope of this study is to present a contribution to the geometrically nonlinear free and
forced vibration of multiple‐stepped beams, based on the theories of Euler–Bernoulli and …