Euler-bernoulli beam equation - Open Access .click

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Static Sensor Feedback Stabilization of Euler-Bernoulli Beam Equations

1999
In this chapter, we consider stabilization problems of Euler-Bernoulli beam equations arising in the area of space and industrial robots with lightweight and flexible arms, as well as in the area of flexible space structures. We shall first derive a general model for a Euler-Bernoulli beam with a rigid tip body.
Zheng-Hua Luo, Bao-Zhu Guo, Omer Morgul
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Dynamic equilibrium equations of linear piezoelectric Euler–Bernoulli beams

Mechanics Research Communications, 2009
Abstract A one-dimensional model for the dynamics of linear piezoelectric straight prismatic beam based on the Euler–Bernoulli’s theory and appropriate hypotheses on the electric displacement field is developed. The equations of motion of longitudinal and flexural vibrations are formulated in terms of one-dimensional mechanical and electrical ...
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Properties of the Euler-Bernoulli beam equation and the Kirchoff plate equation related to controllability

Proceedings of the 28th IEEE Conference on Decision and Control, 2003
Summary form only given. A discussion is presented of the propagation of singularities, uniqueness questions, and other properties of the Euler-Bernoulli beam equation and the Kirchoff plate equation. A result previously obtained by the author (1985), which essentially gave an explicit solution to the boundary control problem for the plate equation u ...
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Dynamic stabilisation for an Euler–Bernoulli beam equation with boundary control and matched nonlinear disturbance

International Journal of Control, 2022
Zhan-Dong Mei
exaly

Stability of an interconnected system of Euler–Bernoulli beam and wave equation through boundary coupling

Systems and Control Letters, 2020
Jun-Min Wang
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An exact solution of fractional Euler-Bernoulli equation for a beam with fixed-supported and fixed-free ends

Applied Mathematics and Computation, 2021
Tomasz Blaszczyk, Jaroslaw Siedlecki, Sun Hongguang +2 more
exaly

The Euler–Bernoulli beam equation with boundary dissipation of fractional derivative type

Mathematical Methods in the Applied Sciences, 2017
Abbes Benaïssa
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Lyapunov approach to output feedback stabilization for the Euler–Bernoulli beam equation with boundary input disturbance

Automatica, 2015
Feng-Fei Jin, Bao-Zhu Guo
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Adaptive Error Feedback Regulation Problem for an Euler--Bernoulli Beam Equation with General Unmatched Boundary Harmonic Disturbance

SIAM Journal on Control and Optimization, 2019
Hua-Cheng Zhou
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