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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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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Unified theory of beam bending within flexoelectricity with including piezoelectricity [PDF]
MATEC Web of Conferences, 2020 The behaviour of small size dielectric elastic beams is described within higher-grade theory with including electric polarization. The coupling between strain gradients and polarization is incorporated into the constitutive laws in the form of ...
Sladek Vladimir, Sladek Jan
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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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Vibration Characteristics of Piezoelectric Microbeams Based on the Modified Couple Stress Theory
Shock and Vibration, 2014 The vibration behavior of piezoelectric microbeams is studied on the basis of the modified couple stress theory. The governing equations of motion and boundary conditions for the Euler-Bernoulli and Timoshenko beam models are derived using Hamilton’s ...
R. Ansari +2 more
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Mathematical Analysis of the Euler-Bernoulli Beam Subject to Swelling Pressure
Вестник КазНУ. Серия математика, механика, информатика, 2018 instability. Due to the complexity of interactions between expansive solid and solid-liquid equilibrium, the forces exerting on retaining structures from swelling are highly nonlinear. In this paper, we consider the initial/boundary value problem of an
D. Wei, L. Zhapsarbayeva, Zh. Kazbek
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A Generalized Model for Curved Nanobeams Incorporating Surface Energy
Micromachines, 2023 This work presents a comprehensive model for nanobeams, incorporating beam curvature and surface energy. Gurtin–Murdoch surface stress theory is used, in conjunction with Euler–Bernoulli beam theory, to model the beams and take surface energy effects ...
Mahmoud E. Khater
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General Convolution Identities for Bernoulli and Euler Polynomials
, 2015 Using general identities for difference operators, as well as a technique of symbolic computation and tools from probability theory, we derive very general kth order (k \ge 2) convolution identities for Bernoulli and Euler polynomials.
Dilcher, K., Vignat, C.
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Analytical solution of two-layer beam taking into account interlayer slip and shear deformation [PDF]
, 2007 A mathematical model is proposed and its analytical solution derived for the analysis of the geometrically and materially linear two-layer beams with different material and geometric characteristics of an individual layer.
Goodman J. R. +8 more
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Hard‐Magnetic Soft Millirobots in Underactuated Systems
Advanced Robotics Research, EarlyView.This review provides a comprehensive overview of hard‐magnetic soft millirobots in underactuated systems. It examines key advances in structural design, physics‐informed modeling, and control strategies, while highlighting the interplay among these domains.
Qiong Wang +4 more
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