Results 11 to 20 of about 2,094,428 (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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Relationships Between Generalized Bernoulli Numbers and Polynomials and Generalized Euler Numbers and Polynomials [PDF]
, 2002 In this paper, concepts of the generalized Bernoulli and Euler numbers and polynomials are introduced, and some relationships between them are ...
Qi, Feng, Luo, Qiu-Ming
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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 [PDF]
, 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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Size-dependent Nonlinear Forced Vibration Analysis of Viscoelastic/Piezoelectric Nano-beam [PDF]
Journal of Applied and Computational Mechanics, 2021 In this paper, the nonlinear forced vibration of isotropic viscoelastic/ piezoelectric Euler-Bernoulli nano-beam is investigated. For this purpose, the consistent couple stress theory is utilized for modeling the viscoelastic/piezoelectric nano-beam ...
Zahra Tadi Beni +2 more
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Thermal Buckling Analysis of Functionally Graded Euler-Bernoulli Beams with Temperature-dependent Properties [PDF]
Journal of Applied and Computational Mechanics, 2020 Thermal buckling behavior of functionally graded Euler-Bernoulli beams in thermal conditions is investigated analytically. The beam with material and thermal properties dependent on the temperature and position is considered.
Wei-Ren Chen +2 more
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Applied Mechanics, 2021 In this paper, transverse vibration analysis of rotating micro-beam is investigated based on the modified couple stress theory. The simply-supported micro-beam is modeled utilizing Euler-Bernoulli and Timoshenko beam theories.
Alireza Babaei, Masoud Arabghahestani
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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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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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