Results 21 to 30 of about 3,216 (180)
Rao–Nakra sandwich beam with second sound
Partial Differential Equations in Applied Mathematics, 2021 In this manuscript, we prove the well-posedness and exponential stability for a thermoelastic structure given by a Rao–Nakra sandwich beam. The system consists of two wave equations for the longitudinal displacements of the top and bottom layers, and one
C.A. Raposo +3 more
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A Numerical Method of the Euler-Bernoulli Beam with Optimal Local Kelvin-Voigt Damping
Journal of Applied Mathematics, 2014 This paper deals with the numerical approximation problem of the optimal control problem governed by the Euler-Bernoulli beam equation with local Kelvin-Voigt damping, which is a nonlinear coefficient control problem with control constraints. The goal of
Xin Yu, Zhigang Ren, Qian Zhang, Chao Xu
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Vibration of a circular beam with variable cross sections using differential transformation method
Beni-Suef University Journal of Basic and Applied Sciences, 2015 In this paper, an application of differential transformation method (DTM) is applied on free vibration analysis of Euler-Bernoulli beam. This beam has variable circular cross sections.
S.M. Abdelghany +3 more
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Mathematics, 2022 This paper presents an analytical transfer matrix modeling framework for the forced vibration of a bending-torsional-warping coupling Euler-Bernoulli thin-walled beam carrying an arbitrary number of three degree-of-freedom (DOF) spring-damper-mass (SDM ...
Jun Chen, Xiang Liu
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Analytical Study of Sandwich Structures using Euler–Bernoulli Beam Equation [PDF]
, 2017 This paper presents an analytical study of sandwich structures. In this study, the Euler–Bernoulli beam equation is solved analytically for a four-point bending problem. Appropriate initial and boundary conditions are specified to enclose the problem. In
Xue, Hui +3 more
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Static and free vibration of axially loaded functionally graded beams based on the first-order shear deformation theory [PDF]
, 2013 The first-order shear deformation beam theory for static and free vibration of axially loaded rectangular functionally graded beams is developed. In this theory, the improved transverse shear stiffness is derived from the in-plane stress and equilibrium ...
Thai, Huu-Tai +2 more
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, 2022 In this paper, we discuss the role of the damping term mu u(t) in unique determination of unknown spatial load F(x) in a damped Euler-Bernoulli beam equation u (tt) + mu u(t) + (r(x)u(xx))(xx) = F(x)G(t) from the measured final time displacement u(T)(x) :
Hasanov, Alemdar +3 more
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Periodic Solutions of the Euler-Bernoulli Equation for Vibrations of a Beam with Fixed Ends
Современные информационные технологии и IT-образование, 2020 The problem of time-periodic solutions of the quasilinear equation of forced vibrations of an I-beam with fixed ends is investigated. The nonlinear term and the right-hand side of the equation are time-periodic functions.
Igor Rudakov, Mikhail Zinovyev
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Fatigue Crack Initiation and Growth in Nanocrystalline Ni at Multiple Length‐Scales
Advanced Engineering Materials, EarlyView.Overview of miniaturized in situ SEM fatigue setup and resultant fatigue crack growth data for nanocrystalline Ni. The presented study focuses on the analysis of fatigue crack growth rate (FCGR) in focused ion beam‐notched microcantilevers prepared from nanocrystalline (NC) Ni as a model material.
Igor Moravcik +7 more
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, 2016 We investigate semianalytical solutions of Euler-Bernoulli beam equation by using Laplace transform and Adomian decomposition method (LADM). The deformation of a uniform flexible cantilever beam is formulated to initial value problems.
Ratchata Theinchai +2 more
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