Results 81 to 90 of about 1,075 (140)

A Chebyshev Spectral Method with Null Space Approach for Boundary-Value Problems of Euler-Bernoulli Beam

Shock and Vibration, 2018
We proposed a Chebyshev spectral method with a null space approach for investigating the boundary-value problem of a nonprismatic Euler-Bernoulli beam with generalized boundary or interface conditions.
C. P. Hsu, C. F. Hung, J. Y. Liao
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Numerical Fractional Calculus Framework for Nonlocal Euler–Bernoulli Beam Deflection Analysis

Fractal and Fractional
In this study, the bending behavior of beams is investigated using the fractional Euler–Bernoulli beam model. This model is developed based on fractional calculus, particularly employing the Riesz–Caputo derivatives, and is capable of accurately ...
Amirhosein Bahreini, Ali Asgari, Reza Taghipour, Hossein Jafari, Habib Akbarzadeh Bengar   +4 more
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Active control of bending vibrations of Timoshenko beams using state observers

St. Petersburg Polytechnical University Journal: Physics and Mathematics
When describing bending vibrations of elastic beams, the transition from the Bernoulli – Euler model to the Timoshenko model leads to a complication in the dynamic behavior of the beam and to the emergence of new dynamic effects and a new spectrum of ...
Fedotov Aleksandr, Belyaev Alexander
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An Efficient Petrov–Galerkin Scheme for the Euler–Bernoulli Beam Equation via Second-Kind Chebyshev Polynomials

Fractal and Fractional
The 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, Waleed Mohamed Abd-Elhameed, Amr Ahmed Elmasry, Ahmed Gamal Atta   +3 more
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On the Curvature of an Euler–Bernoulli Beam

International Journal of Mechanical Engineering Education, 2003
This paper deals with different approaches to describing the relationship between the bending moment and curvature of a Euler—Bernoulli beam undergoing a large deformation, from a tutorial point of view. First, the concepts of the mathematical and physical curvature are presented in detail. Then, in the case of a cantilevered beam subjected to a single
KOPMAZ, OSMAN, GÜNDOĞDU, ÖMER
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A family of isospectral Euler–Bernoulli beams

Inverse Problems, 2010
In this paper we consider the class of Euler–Bernoulli beams such that the product between the bending stiffness and the linear mass density is constant. Under the assumption that the end conditions are any combination of pinned and sliding, we obtain closed-form expressions for beams isospectral to a given one.
GLADWELL GML, MORASSI, Antonino
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Euler–Bernoulli Beams and Frames

2016
This chapter starts with the analytical description of beam members. Based on the three basic equations of continuum mechanics, i.e. the kinematics relationship, the constitutive law and the equilibrium equation, the partial differential equation, which describes the physical problem, is derived.
Andreas Öchsner, Marco Öchsner
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Exact solutions of Euler–Bernoulli beams

Modern Physics Letters B, 2023
In numerous real-world applications, transverse vibrations of beams are nonlinear in nature. It is a task to solve nonlinear beam systems due to their substantial dependence on the 4 variables of the system and the boundary conditions. To comprehend the nonlinear vibration characteristics, it is essential to do a precise parametric analysis.
Jamil Abbas Haider, F. D. Zaman, Showkat Ahmad Lone, Sadia Anwar, Salmeh A. Almutlak, Ibrahim E. Elseesy   +5 more
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A tracking controller for the Euler-Bernoulli beam

Proceedings., IEEE International Conference on Robotics and Automation, 2002
A controller for the Euler-Bernoulli beam is presented with a view to its application on a flexible link robot. It is shown that the controller guarantees asymptotic trajectory tracking for a particular class of initial conditions, requires limited feedback information, and is simple to design.
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Euler-Bernoulli beam theory

2009
A beam is defined as a structure having one of its dimensions much larger than the other two. The axis of the beam is defined along that longer dimension, and a crosssection normal to this axis is assumed to smoothly vary along the span or length of the beam. Civil engineering structures often consist of an assembly or grid of beams with cross-sections
Bauchau, Olivier, Craig, J.I.
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