Stabilization analysis of Euler-Bernoulli beam equation with locally distributed disturbance
Journal of Hebei University of Science and Technology, 2017 In order to enrich the system stability theory of the control theories, taking Euler-Bernoulli beam equation as the research subject, the stability of Euler-Bernoulli beam equation with locally distributed disturbance is studied.
Pengcheng HAN, Danhong LIU
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Vibration Characteristics of Piezoelectric Microbeams Based on the Modified Couple Stress Theory
Shock and Vibration, 2014 The vibration behavior of piezoelectric microbeams is studied on the basis of the modified couple stress theory. The governing equations of motion and boundary conditions for the Euler-Bernoulli and Timoshenko beam models are derived using Hamilton’s ...
R. Ansari +2 more
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Wave propagation characteristics in nanoporous metal foam nanobeams
Results in Physics, 2019 This research is devoted to the wave propagation characteristics analysis of nanobeams made of nanoporous metal foams. Three nanoporosity distribution models, namely, symmetry, asymmetry and uniform distributions, are taken into account.
Yan Qing Wang, Chen Liang
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Nonlinearity in nanomechanical cantilevers [PDF]
, 2013 Euler-Bernoulli beam theory is widely used to successfully predict the linear dynamics of micro- and nanocantilever beams. However, its capacity to characterize the nonlinear dynamics of these devices has not yet been rigorously assessed, despite its use
A. H. Nayfeh +11 more
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, 2016 We study a planar thin brittle beam subject to elastic deformations and cracks described in terms of a nonlinear Griffith energy functional acting on $SBV$ deformations of the beam.
Schmidt, Bernd
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Free transverse vibration of Euler-Bernoulli beams resting on viscoelastic foundation
上海师范大学学报. 自然科学版, 2018 This paper focuses on the free transverse vibration of an Euler-Bernoulli beam resting on three-parameter viscoelastic foundation.Under simply supported boundary conditions,the exact frequency equations and the modal functions are given,and the explicit ...
Peng Li, Wang Ying
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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
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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
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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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