In this paper, the flexural vibration of Timoshenko beams, modeled as a series of intercon-nected distributed and lumped elements, is considered. The natural frequencies of a uniform beam with various boundary conditions are calculated based...

finite elements for both Euler–Bernoulli and Timoshenko beams with different combinations of tapering, singularity and discontinuity. In this model, beam sections are represented by some appropriate virtual springs; their connection in series...

This paper focuses on the development of a complete model of the Timoshenko beam, based on considering the effects of shear deformation. A method based on distributed-lumped modeling approach is proposed to solve the governing equations. Natural...

The flexural vibration of carbon nanotubes (CNTs) conveying viscous fluid is investigated by the nonlocal Timoshenko beam model. The frequencies are obtained using the Galerkin method. Studying the influence of the fluid viscosity on the fundamental...

This paper presents an analytical investigation in the free vibration of a cracked Timoshenko beam made up of functionally graded materials (FGMs). A crack is modeled by a rotational spring and the perspective of wave method is adopted...

This paper presents an analytical investigation of the free vibrations of a cracked Timoshenko beam made up of functionally graded materials (FGMs). It is assumed that the beam is constructed of FGM materials with a power law variation of metal...

In this article, the free transverse vibrational behaviour of a multiwall carbon nanotube

(MWNT) surrounded by a Pasternak-type elastic medium has been determined using a very

generalized model. The model has ...

In the present paper, the isogeometric analysis (IGA) of free-form planar curved beams is formulated based on the nonlinear Timoshenko beam theory to investigate the large deformation of beams with variable curvature. Based on the isoparametric...

Based on strain gradient theory, a microstructure-dependent Timoshenko beam model is pre- sented, for the first time, to analyze the vibration and structural instability of the micro scale pipes conveying fluid. The governing equations are derived...

An interesting field in the nano science studies, is based on modeling and simulation of vibrating carbon nanotubes (CNTs) in an elastic medium to predict the natural frequencies and associated mechanical properties. ...