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Analytic solutions for Euler–Bernoulli beams with axial compression resting on a nonlinear elastic foundation using MADM [PDF]
Scientific ReportsThis article investigates the deflection behavior of Euler–Bernoulli beams subjected to axial compression and resting on a nonlinear elastic foundation.
Li-Kuo Chou, Ming-Xian Lin
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Non-linear vibration of Euler-Bernoulli beams [PDF]
Latin American Journal of Solids and Structures, 2011 In this paper, variational iteration (VIM) and parametrized perturbation (PPM) methods have been used to investigate non-linear vibration of Euler-Bernoulli beams subjected to the axial loads.
A. Barari +3 more
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Elastostatics of Bernoulli–Euler Beams Resting on Displacement-Driven Nonlocal Foundation
Nanomaterials, 2021 The simplest elasticity model of the foundation underlying a slender beam under flexure was conceived by Winkler, requiring local proportionality between soil reactions and beam deflection.
Marzia Sara Vaccaro +3 more
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A comparative analysis of the vibrational behavior of various beam models with different foundation designs [PDF]
HeliyonThis article discusses the modal behavior of elastically constrained beams under various types of foundations and provides insights into the effects of different factors on the eigenfrequencies of beams.
Gulnaz Kanwal, Naveed Ahmed, Rab Nawaz
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Non-uniform Euler-Bernoulli beams’ natural frequencies
Ingeniería e Investigación, 2011 This paper has studied the problem of natural frequencies for Euler-Bernoulli beams having non-uniform cross-section. The numerically-obtained solutions were compared to asymptotic solutions obtained by the Wentzel-Kramers-Brillouin (WKB) method.
Hugo Aya, Ricardo Cano, Petr Zhevandrov
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Nanomaterials, 2021 In this manuscript the dynamic response of porous functionally-graded (FG) Bernoulli–Euler nano-beams subjected to hygro-thermal environments is investigated by the local/nonlocal stress gradient theory of elasticity.
Rosa Penna +3 more
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Size-Dependent Buckling Analysis of Microbeams by an Analytical Solution and Isogeometric Analysis
Crystals, 2022 This paper proposes an analytical solution and isogeometric analysis numerical approach for buckling analysis of size-dependent beams based on a reformulated strain gradient elasticity theory (RSGET).
Shuohui Yin +4 more
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Stabilization of a nonlinear Euler–Bernoulli beam
Arabian Journal of Mathematics, 2022 AbstractIn this work, we study the vibration control of a flexible mechanical system. The dynamic of the problem is modeled as a viscoelastic nonlinear Euler–Bernoulli beam. To suppress the undesirable transversal vibrations of the beam, we adopt a control at the right boundary of the beam. This control law is simple to implement.
Djamila Benterki, Nasser-Eddine Tatar
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Abstract and Applied Analysis, 2023 We study in this paper a general shape of damped Euler–Bernoulli beams with variable coefficients. Our main goal is to generalize several works already done on damped Euler–Bernoulli beams.
Teya Kouakou Kra Isaac +3 more
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Matching Boundary Conditions for the Euler–Bernoulli Beam
Shock and Vibration, 2021 Artificial boundary conditions play a crucial role in the dynamic simulation of infinite Euler–Bernoulli beams. In this paper, a class of artificial boundary conditions, matching boundary conditions (MBCs), is presented to provide effective absorption of
Yaoqi Feng, Xianming Wang
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