Results 31 to 40 of about 24,516 (216)
Analytic solutions for free vibration analysis of laminated beams in three-dimensional statement [PDF]
EPJ Web of Conferences, 2019 In this research we consider free vibrations of laminated beams in terms of three-dimensional linear theory of elasticity. Analytic solutions for natural frequencies of laminated beams are obtained by using an asymptotic splitting method.
Golushko Sergey +2 more
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Fractional Euler-Bernoulli beams: theory, numerical study and experimental validation
, 2015 In this paper the classical Euler-Bernoulli beam (CEBB) theory is reformulated utilising fractional calculus. Such generalisation is called fractional Euler-Bernoulli beams (FEBB) and results in non-local spatial description.
Blaszczyk, Tomasz +2 more
core +1 more source
Lateral-Mode Vibration of Microcantilever-Based Sensors in Viscous Fluids Using Timoshenko Beam Theory [PDF]
, 2014 To more accurately model microcantilever resonant behavior in liquids and to improve lateral-mode sensor performance, a new model is developed to incorporate viscous fluid effects and Timoshenko beam effects (shear deformation, rotatory inertia).
Beardslee, Luke A. +6 more
core +4 more sources
Geometrically Non-Linear Vibration of a Cantilever Interacting with Rarefied Gas Flow
Cybernetics and Information Technologies, 2020 The work is devoted to study 2D pressure driven rarefied gas flow in a microchannel having an elastic obstacle. The elastic obstacle is clamped at the bottom channel wall and its length is half of the channel height.
Shterev Kiril, Manoach Emil
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Analytical solution of two-layer beam taking into account interlayer slip and shear deformation [PDF]
, 2007 A mathematical model is proposed and its analytical solution derived for the analysis of the geometrically and materially linear two-layer beams with different material and geometric characteristics of an individual layer.
Goodman J. R. +8 more
core +2 more sources
Modeling an elastic beam with piezoelectric patches by including magnetic effects
, 2014 Models for piezoelectric beams using Euler-Bernoulli small displacement theory predict the dynamics of slender beams at the low frequency accurately but are insufficient for beams vibrating at high frequencies or beams with low length-to-width aspect ...
Morris, K. A., Ozer, A. O.
core +1 more source
Simulation of tail boom vibrations using main rotor-fuselage Computational Fluid Dynamics (CFD) [PDF]
, 2017 In this work, fully-resolved rotor-fuselage interactional aerodynamics is used as the forcing term in a model based on the Euler-Bernoulli equation, aiming to simulate helicopter tail-boom vibration.
Barakos, George N. +4 more
core +2 more sources
Periodic solutions to nonlinear Euler–Bernoulli beam equations [PDF]
Communications in Mathematical Sciences, 2019 Bending vibrations of thin beams and plates may be described by nonlinear Euler-Bernoulli beam equations with $x$-dependent coefficients. In this paper we investigate existence of families of time-periodic solutions to such a model using Lyapunov-Schmidt reduction and a differentiable Nash-Moser iteration scheme. The results hold for all parameters $(
Chen, Bochao, Gao, Yixian, Li, Yong
openaire +2 more sources
Shock and Vibration, 2017 A novel electric Gibbs function was proposed for the piezoelectric microbeams (PMBs) by employing a modified couple stress theory. Based on the new Gibbs function and the Euler-Bernoulli beam theory, the governing equations which incorporate the effects ...
Xingjia Li, Ying Luo
doaj +1 more source
Applied Mechanics, 2021 In this paper, transverse vibration analysis of rotating micro-beam is investigated based on the modified couple stress theory. The simply-supported micro-beam is modeled utilizing Euler-Bernoulli and Timoshenko beam theories.
Alireza Babaei, Masoud Arabghahestani
doaj +1 more source