Results 11 to 20 of about 3,216 (180)
Stabilization analysis of Euler-Bernoulli beam equation with locally distributed disturbance
Journal of Hebei University of Science and Technology, 2017 In order to enrich the system stability theory of the control theories, taking Euler-Bernoulli beam equation as the research subject, the stability of Euler-Bernoulli beam equation with locally distributed disturbance is studied.
Pengcheng HAN, Danhong LIU
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Fractal and FractionalThe current article introduces a Petrov–Galerkin method (PGM) to address the fourth-order uniform Euler–Bernoulli pinned–pinned beam equation. Utilizing a suitable combination of second-kind Chebyshev polynomials as a basis in spatial variables, the ...
Youssri Hassan Youssri +3 more
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On a Novel Approximate Solution to the Inhomogeneous Euler–Bernoulli Equation with an Application to Aeroelastics [PDF]
Aerospace, 2021 This paper focuses on the development of an explicit finite difference numerical method for approximating the solution of the inhomogeneous fourth-order Euler–Bernoulli beam bending equation with velocity-dependent damping and second moment of area, mass
Dominique Fleischmann +1 more
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Solution of differential equation for the Euler-Bernoulli beam [PDF]
Journal of Applied Mathematics and Computational Mechanics, 2014 The paper presents the solution of a fourth order differential equation with various coefficients occurring in the vibration problem of the Euler-Bernoulli beam. The concerning equation is written as a first order matrix differential equation.
Izabela Zamorska
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Lie Groups and Euler-Bernoulli Beam Equation
, 2021 Lie groups approach in differential equations was a breakthrough subject in the late nineteenth century. Sophus Lie, a Norwegian mathematician, introduced the systematic approach to study the solutions of differential equations.
Amangeldi, Medeu
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Stability of an interconnected system of euler−bernoulli beam and heat equation with boundary coupling [PDF]
, 2015 We study the stability of an interconnected system of Euler−Bernoulli beam and heat equation with boundary coupling, where the boundary temperature of the heat equation is fed as the boundary moment of the Euler−Bernoulli beam and, in
Jun-Min Wang +3 more
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Nihon Kikai Gakkai ronbunshu, 2014 This paper describes how to reduce degrees of freedom for the absolute nodal coordinate formulation (ANCF) of three-dimensional beam made up of 24 degrees of freedom beam elements by applying the component mode synthesis. The stiffness matrix of the ANCF
Kosuke KADOKURA, Nobuyuki KOBAYASHI
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Shock and Vibration, 2017 The paper tries to clarify the problem of solution and interpretation of railway track dynamics equations for linear models. Set of theorems is introduced in the paper describing two types of equivalence: between static and dynamic track response under ...
Wlodzimierz Czyczula +2 more
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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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Gevrey regularity for the Euler–Bernoulli beam equation with localized structural damping
, 2023 We study a Euler-Bernoulli beam equation with localized discontinuous structural damping. As our main result, we prove that the associated $C_0$-semigroup $(S(t))_{t\geq0}$ is of Gevrey class $\delta>24$ for $t>0$, hence immediately ...
Matteo Caggio +3 more
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