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Inverse problem for the time-fractional Euler-Bernoulli beam equation
Mathematical Modelling and Analysis, 2021 In this paper, the classical Euler-Bernoulli beam equation is considered by utilizing fractional calculus. Such an equation is called the time-fractional EulerBernoulli beam equation.
Ibrahim Tekin, He Yang
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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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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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Nonlinear Dynamic Analysis of a Spatial Mobile Flexible Robot
آموزش مهندسی ایران, 2009 Using some agent variables, the general structure of the dynamic model of a spatial mobile robot with N flexible links and N revolute joints that is a set of 5N+6 nonlinear coupled partial differential equations along with boundary conditions, has been ...
Hassan Zohoor, Mehdi Khorsandijou
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Engineering Transactions, 2017 Structural beams are important parts of engineering projects. The structural analysis of beams is required to ensure that they provide the specifics needed to prevent and withstand failure.
Amin GHANNADIASL, Mohsen Zare GOLMOGANY
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Modified beam theories for bending properties of nanowires considering surface/intrinsic effects and axial extension effect [PDF]
, 2012 Several studies of the surface effect on bending properties of a nanowire (NW) have been conducted. However, these analyses are mainly based on theoretical predictions, and there is seldom integration study in combination between theoretical predictions ...
Gu, YuanTong, Zhan, Haifei
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DETERMINATION OF PHYSICAL PROPERTIES OF LAMINATED COMPOSITE BEAM VIA THE INVERSE VIBRATION PROBLEM METHOD [PDF]
Journal of Mechanical Engineering and Sciences, 2013 In this study, some physical properties of a laminated composite beam were estimated by using the inverse vibration problem method. Laminated composite plate was modeled and simulated to obtain vibration responses for different length-to-thickness ratios
Murat Balcı, Ömer Gündoğdu
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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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Shock and Vibration, 2008 In the finite element method, there are shortcomings using the conventional formulae to calculate the sectional forces, i.e., the bending moment and the shear force, at any cross-section of Bernoulli-Euler beam under dynamic loads.
Ping Lou
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Dynamic Response Analysis of a Forced Fractional Viscoelastic Beam∗
Journal of Mathematics, 2021 In this paper, dynamic response analysis of a forced fractional viscoelastic beam under moving external load is studied. The beauty of this study is that the effect of values of fractional order, the effect of internal damping, and the effect of ...
Kenan Yildirim, Sertan Alkan
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