A vast amount of published work can be found in the field of beam vibrations dealing with
analytical and numerical techniques. This paper deals with analysis of the nonlinear free …

In this paper, nonlinear responses of a clamped-clamped buckled beam are investigated.
Two efficient and easy mathematical techniques called He's Variational Approach and …

This paper is concerned with the dynamic behavior of the spinning Functionally Graded
Material (FGM) shaft on rigid bearings. A p-version, hierarchical finite element is employed …

This work aims to study the of a functional gradation (FG) composite rotor shaft under the
influence of temperature variation and the power law index, to find out how to choose the …

In recent years to overcome many limitations of drilling operations, composite drill strings as
high-tech rotors with complex dynamic behavior are under development. In this research …

In this paper, a numerical method for solution of the free vibration of beams governed by a
set of second-order ordinary differential equations of variable coefficients, with arbitrary …

The hp hybrid finite element method is used in this paper for the dynamic analysis of a
symmetrical on-board rotor on mobile dimensionally stable supports. The disc and the …

A refined variational asymptotic method (VAM) and Hamilton's principle were used to
establish the free vibration differential equations of a rotating composite thin‐walled shaft …

Free torsional vibration analysis of a shaft with multiple disks and elastic supports is
important in mechanical engineering. As is well known, many numerical methods have been …

In this paper, two kinds of vibrations are considered for a composite Timoshenko rotor:
LONGITUDINAL-TORSIONAL VIBRATION and two plane transverse one. The kinetic and …