Results 21 to 30 of about 3,266 (209)

Event-triggered damping stabilization of Euler–Bernoulli beam equation

ESAIM: Control, Optimisation and Calculus of Variations
This article deals with the distributed event-triggered feedback stabilization for an Euler–Bernoulli beam equation. Novel event-triggered rules with distributed damping control laws are proposed to stabilize the beam system: one rule is built based on the beam energy and the other on the beam state information plus an exponentially time-decreasing ...
Xueru Fan, Cheng-Zhong Xu, Hua-Cheng Zhou, Weiwei Hu, Chunhai Kou   +4 more
openaire   +2 more sources

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
openaire   +3 more sources

Well-posedness and stability for a nonlinear Euler-Bernoulli beam equation [PDF]

Communications in Analysis and Mechanics
<abstract><p>We study the well-posedness and stability for a nonlinear Euler-Bernoulli beam equation modeling railway track deflections in the framework of input-to-state stability (ISS) theory. More specifically, in the presence of both distributed in-domain and boundary disturbances, we prove first the existence and uniqueness of a ...
Panyu Deng, Jun Zheng, Guchuan Zhu
openaire   +4 more sources

Map of a Bending Problem for Self-Similar Beams into the Fractal Continuum Using the Euler–Bernoulli Principle

Fractal and Fractional, 2022
The bending of self-similar beams applying the Euler–Bernoulli principle is studied in this paper. A generalization of the standard Euler–Bernoulli beam equation in the FdH3 continuum using local fractional differential operators is obtained. The mapping
Didier Samayoa Ochoa, Lucero Damián Adame, Andriy Kryvko   +2 more
doaj   +1 more source

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, S.A. Hosseini Ravandi, Yaghoub Tadi Beni   +2 more
doaj   +1 more source

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, Chun-Sheng Chen, Heng Chang   +2 more
doaj   +1 more source

Free Vibration Analysis of Rotating Beams Based on the Modified Couple Stress Theory and Coupled Displacement Field

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
doaj   +1 more source

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, Wang, Jun-Min, Miroslav Krstic, Krstic, Miroslav   +3 more
core   +1 more source

Reduction of degrees of Freedom in three-dimensional ANCF beam of 24-DOF beam element by component mode synthesis

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
doaj   +1 more source

On the Equivalence between Static and Dynamic Railway Track Response and on the Euler-Bernoulli and Timoshenko Beams Analogy

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, Piotr Koziol, Dorota Blaszkiewicz   +2 more
doaj   +1 more source