Flow-induced vibration and stability analysis of carbon nanotubes based on the nonlocal strain gradient Timoshenko beam theory [PDF]
A nonlocal strain gradient Timoshenko beam model is developed to study the vibration and instability analysis of the carbon nanotubes conveying nanoflow.
R. Bahaadini, A. Saidi, M. Hosseini
semanticscholar +2 more sources
On the accuracy of the Timoshenko beam theory above the critical frequency: best shear coefficient [PDF]
We obtain values for the shear coefficient both below and above the critical frequency by comparing the results of the Timoshenko beam theory with experimental data published recently. The best results are obtained, by a least-square fitting, when different values of the shear coefficient are used below and above the critical frequency.
J. Franco-Villafañe+1 more
arxiv +3 more sources
In this paper, the dynamic response of the Timoshenko cracked beam subjected to a mass is investigated. In turn, it is assumed that the beam has its ends restrained with both transverse and rotational elastic springs. Based on an alternative beam theory,
Maria Anna De Rosa+5 more
doaj +2 more sources
Energy approach vibration analysis of nonlocal Timoshenko beam theory
AbstractThe aim of this paper is to present an efficient numerical method to analyze the vibration behavior of nano Timoshenko beams based on Eringen's nonlocal elasticity theory. The vibration frequencies of beams are firstly obtained using the theorem of minimum total potential energy and Chebyshev polynomial functions. The present method provides an
Bijan Mohammadi, S.A.M. Ghannadpour
openaire +3 more sources
Free vibration and buckling analysis of axially functionally graded tapered Timoshenko beams using B-spline-based isogeometric analysis. [PDF]
This study considers Timoshenko beam theory and the isogeometric analysis method to investigate the free vibration and buckling of axially functionally graded (AFG) tapered beams.
Abdi F+6 more
europepmc +2 more sources
Timoshenko-Ehrenfest Beam-Based Reconfigurable Elastic Metasurfaces for Multifunctional Wave Manipulation. [PDF]
Herein, a Timoshenko–Ehrenfest beam‐based reconfigurable elastic metasurface is introduced that can perform multifunctional wave phenomena within a single substrate, featuring high transmission in the ultrabroadband frequency range.
Lee G, Choi W, Ji B, Kim M, Rho J.
europepmc +2 more sources
Bending of geometrically nonlinear cantilever beam. Results obtained by Cosserat – Timoshenko and Kirchhoff’s rod theories [PDF]
The problem of verification of different program suites for structural analysis has recently become an important component of the construction science. One of the most extensively used benchmark problem is a classical geometrically nonlinear problem of ...
V.V. Lalin, M.O. Beliaev
doaj +2 more sources
A LINEARIZED TIMOSHENKO BEAM THEORY IN FINITE DISPLACEMENTS
A linearized finite displacement theory of the Timoshenko beam is formulated as the counterpart to so-called beam-column theory of the Bernoulli-Euler beam. The corresponding stiffness equation is derived in a useful form for practical applications. Both theory and stiffness equation result in the same buckling load as the Engesser formula which has ...
Shigeru Kuranishi+2 more
openaire +4 more sources
Vibration of Timoshenko Beams Using Non-classical Elasticity Theories [PDF]
This paper presents a comparison among classical elasticity, nonlocal elasticity, and modified couple stress theories for free vibration analysis of Timoshenko beams.
J.V. Araújo dos Santos, J.N. Reddy
doaj +2 more sources
Dynamic Finite Element Model Based on Timoshenko Beam Theory for Simulating High-Speed Nonlinear Helical Springs. [PDF]
Zhao J, Gu Z, Yang Q, Shao J, Hou X.
europepmc +3 more sources