Results 41 to 50 of about 44,683 (254)
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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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
doaj +1 more source
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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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
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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.
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Direct Laser Writing of Magnetic Micro Actuators With a Stimulus‐Responsive Compliant Hinge
Advanced Materials Technologies, EarlyView.This study presents a versatile modular design strategy for adaptive 3D microactuators. Using two‐photon‐induced C,H insertion reactions within solid polymer layers, chemically distinct hinge and stimulus responsive materials are patterned in one step. The hinge's properties enable tunable motion, mechanical control, and reconfigurable actuation across
Eleonora Galli +4 more
wiley +1 more source
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
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Dynamic Euler-Bernoulli Beam Equation: Classification and Reductions [PDF]
Mathematical Problems in Engineering, 2015 We study a dynamic fourth-order Euler-Bernoulli partial differential equation having a constant elastic modulus and area moment of inertia, a variable lineal mass densityg(x), and the applied load denoted byf(u), a function of transverse displacementu(t,x).
Naz, R., Mahomed, F.M.
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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