Results 31 to 40 of about 3,266 (209)
SIMILARITY SOLUTIONS AND CONSERVATION LAWS FOR THE BEAM EQUATIONS: A COMPLETE STUDY
Acta Polytechnica, 2020 We study the similarity solutions and we determine the conservation laws of various forms of beam equations, such as Euler-Bernoulli, Rayleigh and Timoshenko-Prescott.
Amlan Kanti Halder +2 more
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Distributional solution concepts for the Euler–Bernoulli beam equation with discontinuous coefficients [PDF]
Applicable Analysis, 2007 We study existence and uniqueness of distributional solutions w to the ordinary differential equation with discontinuous coefficients and right-hand side. For example, if a and w are non-smooth the product a · w″ has no obvious meaning. When interpreted on the most general level of the hierarchy of distributional products discussed by Oberguggenberger,
Hörmann, Günther, Oparnica, Ljubica
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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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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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On generalized nonlinear Euler-Bernoulli Beam type equations
Acta Universitatis Sapientiae, Mathematica, 2018 Abstract This paper is devoted to the study of a nonlinear Euler-Bernoulli Beam type equation involving both left and right Caputo fractional derivatives. Differently from the approaches of the other papers where they established the existence of solution for the linear Euler-Bernoulli Beam type equation numerically, we use the lower and
Khaldi Rabah, Guezane-Lakoud Assia
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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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