Results 1 to 10 of about 1,676 (158)
Inverse problem for the time-fractional Euler-Bernoulli beam equation
Mathematical Modelling and Analysis, 2021 In this paper, the classical Euler-Bernoulli beam equation is considered by utilizing fractional calculus. Such an equation is called the time-fractional EulerBernoulli beam equation.
Ibrahim Tekin, He Yang
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Solution of differential equation for the Euler-Bernoulli beam [PDF]
Journal of Applied Mathematics and Computational Mechanics, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Izabela Zamorska
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Solvability of the clamped Euler–Bernoulli beam equation
Applied Mathematics Letters, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Onur Baysal
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A dynamic Euler–Bernoulli beam equation frictionally damped on an elastic foundation
Nonlinear Analysis: Real World Applications, 2022 The steady-state solution of an Euler-Bernoulli beam subjected to the action of a time-dependent uniformly distributed force on a foundation composed of a continuous distribution of linear elastic springs associated in parallel with an approximate/abstract distribution of Coulomb frictional dampers is studied in this paper, which starts with a general ...
Adrien Petrov
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Free vibration of nanobeams with surface and dynamic flexoelectric effects [PDF]
Scientific ReportsIn this paper, the free vibration of piezoelectric nanobeams considering static flexoelectric, dynamic flexoelectric, and surface effects is studied.
Peng Wang +3 more
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Influence of material distribution and damping on the dynamic stability of Bernoulli-Euler beams [PDF]
Bulletin of the Polish Academy of Sciences: Technical Sciences, 2023 The study analyzed the influence of materials and different types of damping on the dynamic stability of the Bernoulli-Euler beam. Using the mode summation method and applying an orthogonal condition of eigenfunctions and describing the analyzed system ...
Sebastian Garus +7 more
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Rao-Nakra model with internal damping and time delay [PDF]
Mathematica Moravica, 2021 In this manuscript, by using the semigroup theory, the well-posedness and exponential stability for a Rao-Nakra sandwich beam equation with internal damping and time delay is proved.
Raposo Carlos A.
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Analytical solution of the fractional-order Euler–Bernoulli beam equation [PDF]
Electronic Journal of MathematicsRaphael Ebekele George +1 more
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Fractal Continuum Calculus of Functions on Euler-Bernoulli Beam
Fractal and Fractional, 2022 A new approach for solving the fractal Euler-Bernoulli beam equation is proposed. The mapping of fractal problems in non-differentiable fractals into the corresponding problems for the fractal continuum applying the fractal continuum calculus (FdH3-CC ...
Didier Samayoa +3 more
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Periodic solutions to nonlinear Euler–Bernoulli beam equations [PDF]
Communications in Mathematical Sciences, 2019 Bending vibrations of thin beams and plates may be described by nonlinear Euler-Bernoulli beam equations with $x$-dependent coefficients. In this paper we investigate existence of families of time-periodic solutions to such a model using Lyapunov-Schmidt reduction and a differentiable Nash-Moser iteration scheme. The results hold for all parameters $(ε,
Chen, Bochao, Gao, Yixian, Li, Yong
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