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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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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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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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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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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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Fractal and Fractional, 2022 The bending of self-similar beams applying the Euler–Bernoulli principle is studied in this paper. A generalization of the standard Euler–Bernoulli beam equation in the FdH3 continuum using local fractional differential operators is obtained. The mapping
Didier Samayoa Ochoa +2 more
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Dynamic Response of Slope Inertia-Based Timoshenko Beam under a Moving Load
Applied Sciences, 2022 In this paper, the dynamic response of a simply supported beam subjected to a moving load is reinvestigated. Based on a new beam theory, slope inertia-based Timoshenko (SIBT), the governing equations of motion of the beam are derived.
Tuo Lei +4 more
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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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