Results 181 to 190 of about 3,266 (209)

Symmetries and integrability of a fourth-order Euler–Bernoulli beam equation

Journal of Mathematical Physics, 2010
The complete symmetry group classification of the fourth-order Euler–Bernoulli ordinary differential equation, where the elastic modulus and the area moment of inertia are constants and the applied load is a function of the normal displacement, is obtained. We perform the Lie and Noether symmetry analysis of this problem.
Bokhari, Ashfaque H., Mahomed, F. M., Zaman, F. D.   +2 more
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Artificial boundary conditions for Euler-Bernoulli beam equation

Acta Mechanica Sinica, 2014
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Tang, Shao-Qiang, Karpov, Eduard
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Polynomial and analytic stabilization of a wave equation coupled with an Euler–Bernoulli beam

Mathematical Methods in the Applied Sciences, 2008
AbstractWe consider a stabilization problem for a model arising in the control of noise. We prove that in the case where the control zone does not satisfy the geometric control condition, B.L.R. (see Bardos et al. SIAM J. Control Optim. 1992; 30:1024–1065), we have a polynomial stability result for all regular initial data.
Ammari, Kaïs, Nicaise, Serge
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A Legendre-Laguerre-Galerkin Method for Uniform Euler-Bernoulli Beam Equation

East Asian Journal on Applied Mathematics, 2018
We consider a Galerkin method based on Legendre and Laguerre polynomials and apply it to the Euler-Bernoulli beam equation. The matrices of the method are well structured, which results in substantial reduction of computational cost. Numerical examples demonstrate the efficiency and a high accuracy of the algorithm proposed.
Bassuony, Mahmoud A., Abd-Elhameed, Waleed Mohamed, Doha, Eid H., Youssri, Youssri Hassan   +3 more
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Periodic Solutions for a Class of Semilinear Euler–Bernoulli Beam Equations with Variable Coefficients

Journal of Dynamics and Differential Equations, 2023
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Wei, Hui, Ji, Shuguan
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The Euler–Bernoulli beam equation with boundary dissipation of fractional derivative type

Mathematical Methods in the Applied Sciences, 2016
We consider a Euler–Bernoulli beam equation with a boundary control condition of fractional derivative type. We study stability of the system using the semigroup theory of linear operators and a result obtained by Borichev and Tomilov. Copyright © 2016 John Wiley & Sons, Ltd.
Achouri, Zineb, Amroun, Nour Eddine, Benaissa, Abbes   +2 more
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The Euler-Bernoulli Beam Equation with Boundary Energy Dissipation.

1988
Abstract : Many problems in structural dynamics involve stabilizing the elastic energy of partial differential equations such as the Euler-Bernoulli beam equation by boundary conditions. Exponential stability is a very desirable property such elastic systems.
H. H. West, C. E. Wayne, D. W. Ma, S. G. Krantz, G. Chen   +4 more
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Noether Symmetry Analysis of the Dynamic Euler-Bernoulli Beam Equation

Zeitschrift für Naturforschung A, 2016
Abstract We study the fourth-order dynamic Euler-Bernoulli beam equation from the Noether symmetry viewpoint. This was earlier considered for the Lie symmetry classification. We obtain the Noether symmetry classification of the equation with respect to the applied load, which is a function of the dependent variable of the underlying ...
A.G. Johnpillai, K.S. Mahomed, C. Harley, F.M. Mahomed   +3 more
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Inverse Problems for Euler-Bernoulli Beam and Kirchhoff Plate Equations

2021
Beams and plates are important parts of main engineering constructions such as aircraft wings, flexible robotic manipulators, large space structures and robots, marine risers and moving strips. Within the scope of the linear theory of elasticity, classical Euler-Bernoulli beam and Kirchhoff plate theories have been a cornerstone tools in engineering ...
Alemdar Hasanov Hasanoğlu, Vladimir G. Romanov   +1 more
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Boundary PID output regulation for Euler-Bernoulli beam equation

Journal of Mathematical Analysis and Applications
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Fan, Xueru, Xu, Cheng-Zhong, Kou, Chunhai   +2 more
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