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Differential quadrature-based solution for non-classical Euler-Bernoulli beam theory

European Journal of Mechanics - A/Solids, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ishaquddin, Md., Gopalakrishnan, S.
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Intelligent beam structures: Timoshenko theory vs. Euler-Bernoulli theory

Proceeding of the 1996 IEEE International Conference on Control Applications IEEE International Conference on Control Applications held together with IEEE International Symposium on Intelligent Control IEEE International Symposium on Computer-Aided Contro, 2002
In this paper, the derivation of the governing equations and boundary conditions of laminated beam smart structures are developed. Sensor and actuator layers are included in the beam so as to facilitate vibration suppression. Two mathematical models, namely the shear-deformable (Timoshenko) model and the shear-indeformable (Euler-Bernoulli) model, are ...
O.J. Aldraihem   +2 more
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Euler–Bernoulli Beam Theory

2021
This chapter presents the analytical description of thin, or so-called shear-rigid, beam members according to the Euler–Bernoulli theory. Based on the three basic equations of continuum mechanics, i.e., the kinematics relationship, the constitutive law, and the equilibrium equation, the partial differential equations, which describe the physical ...
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Distributed Control of Laminated Beams: Timoshenko Theory vs. Euler-Bernoulli Theory

Journal of Intelligent Material Systems and Structures, 1997
In this paper, the governing equations and boundary conditions of laminated beamlike components of smart structures are reviewed. Sensor and actuator layers are included in the beam so as to facilitate vibration suppression. Two mathematical models, namely the shear-deformable (Timoshenko) model and the shear-indeformable (Euler-Bernoulli) model, are ...
Osama J. Aldraihem   +2 more
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Euler-Bernoulli beam theory

2009
A beam is defined as a structure having one of its dimensions much larger than the other two. The axis of the beam is defined along that longer dimension, and a crosssection normal to this axis is assumed to smoothly vary along the span or length of the beam. Civil engineering structures often consist of an assembly or grid of beams with cross-sections
Bauchau, Olivier, Craig, J.I.
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A homogenized theory for functionally graded Euler–Bernoulli and Timoshenko beams

Acta Mechanica, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Falsone G., La Valle G.
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Topology Optimization of Magnetoelectric Sensors Using Euler-Bernoulli Beam Theory

2020
A studied magnetic field sensor is based on resonant operation of magnetoelectric micro-electro-mechanical systems (MEMS). Subsequently to an applied magnetic field, the micro beam changes the eigenfrequency, due to the magnetostrictive effect. Euler-Bernoulli beam theory can calculate eigenfrequencies of bending vibrations of beams with high accuracy.
Maximilian Krey, Hannes Töpfer
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Modeling of Piezoelectric Energy Harvester: A Comparison Between Euler-Bernoulli Theory and Timoshenko Theory

ASME 2011 Conference on Smart Materials, Adaptive Structures and Intelligent Systems, Volume 2, 2011
Harvesting vibration energy using piezoelectric materials has gained considerable attention over the past few years. Typically, a piezoelectric energy harvester is a unimorph or bimorph cantilevered beam which undergoes base vibration. The focus of this paper is to compare the Euler-Bernoulli model and the Timoshenko model, which are both used for ...
Yang Zhu, Jean W. Zu, Minghui Yao
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Slender Plane Beams. Euler-Bernoulli Theory

2013
This chapter studies the bending of slender plane beams using the classical Euler-Bernoulli beam theory and the FEM. Many readers will ask themselves why we are applying the FEM to a simple structural problem that can be solved by standard Strength of Materials techniques [Ti2].
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