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Observer for Euler-Bernoulli beam with hydraulic drive
Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228), 2002It is shown how to extend passivity and contraction results for flexible mechanisms with electrical drives to systems with hydraulic drives.
Olav Egeland +2 more
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Motion planning for a damped euler-bernoulli beam
49th IEEE Conference on Decision and Control (CDC), 2010The motion planning problem is considered for a Euler-Bernoulli beam with viscous damping. For its solution, a systematic spectral approach is proposed, which is based on the Riesz spectral properties of the system operator. This enables to analyze both boundary and in-domain control in a common framework.
Thomas Meurer +2 more
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2019
This chapter covers the continuum mechanical description of thin 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.
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This chapter covers the continuum mechanical description of thin 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.
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1986
The free undamped infinitesimal transverse vibrations, of frequency ω*, of a thin straight beam of length l shown in Figure 10.1.1 are governed by the Euler-Bernoulli equation $$\frac{{{d^2}}}{{d{x^2}}}\left( {EI(x)\frac{{{d^2}u(x)}}{{d{x^2}}}} \right) = A(x)\rho {\omega ^{ * 2}}u(x),0\underline < x\underline < \ell .$$ (10.1.1) .
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The free undamped infinitesimal transverse vibrations, of frequency ω*, of a thin straight beam of length l shown in Figure 10.1.1 are governed by the Euler-Bernoulli equation $$\frac{{{d^2}}}{{d{x^2}}}\left( {EI(x)\frac{{{d^2}u(x)}}{{d{x^2}}}} \right) = A(x)\rho {\omega ^{ * 2}}u(x),0\underline < x\underline < \ell .$$ (10.1.1) .
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Chaotic dynamics of flexible Euler-Bernoulli beams
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2013Mathematical modeling and analysis of spatio-temporal chaotic dynamics of flexible simple and curved Euler-Bernoulli beams are carried out. The Kármán-type geometric non-linearity is considered. Algorithms reducing partial differential equations which govern the dynamics of studied objects and associated boundary value problems are reduced to the ...
Awrejcewicz, J. +5 more
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2021
This chapter presents the analytical description of thin, or so-called shear-rigid, beam members according to the Euler–Bernoulli theory. Based on the three basic equations of continuum mechanics, i.e., the kinematics relationship, the constitutive law, and the equilibrium equation, the partial differential equations, which describe the physical ...
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This chapter presents the analytical description of thin, or so-called shear-rigid, beam members according to the Euler–Bernoulli theory. Based on the three basic equations of continuum mechanics, i.e., the kinematics relationship, the constitutive law, and the equilibrium equation, the partial differential equations, which describe the physical ...
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Control of a viscoelastic translational Euler–Bernoulli beam
Mathematical Methods in the Applied Sciences, 2016In this paper, we study a cantilevered Euler–Bernoulli beam fixed to a base in a translational motion at one end and to a tip mass at its free end. The beam is subject to undesirable vibrations, and it is made of a viscoelastic material that permits a certain weak damping.
Berkani, Amirouche +2 more
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Euler–Bernoulli beams with multiple singularities in the flexural stiffness
European Journal of Mechanics - A/Solids, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
BIONDI B, CADDEMI, Salvatore
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Active and passive Damping of Euler-Bernoulli Beams and Their Interactions
Journal of Dynamic Systems, Measurement, and Control, 1992Active and Passive damping of Euler-Bernoulli beams and their interactions have been studied using the beam’s exact transfer function model without mode truncation or finite element or finite difference approximation. The combination of viscous and Voigt damping is shown to map the open-loop poles and zeros from the imaginary axis in the undamped case ...
Pang, S. T., Tsao, T.-C., Bergman, L. A.
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Fragile points method for Euler–Bernoulli beams
European Journal of Mechanics - A/SolidszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abinash Malla, Sundararajan Natarajan
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