Adaptive neural network control for a nonlinear Euler‐Bernoulli beam in three‐dimensional space with unknown control direction
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Robust and Nonlinear Control"
DOI: 10.1002/rnc.4658
Abstract: In this paper, an adaptive neural network control system is developed for a nonlinear three‐dimensional Euler‐Bernoulli beam with unknown control direction. The Euler‐Bernoulli beam is modeled as a combination of partial differential equations (PDEs) and… read more here.
Keywords: control direction; euler bernoulli; unknown control; bernoulli beam ... See more keywords
Euler–Bernoulli interval finite element with spatially varying uncertain properties
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DOI: 10.1007/s00707-017-1903-7
Abstract: The formulation of an Euler–Bernoulli beam finite element with spatially varying uncertain properties is presented. Uncertainty is handled within a non-probabilistic framework resorting to a recently proposed interval field model able to quantify the dependency… read more here.
Keywords: finite element; element spatially; varying uncertain; spatially varying ... See more keywords
A homogenized theory for functionally graded Euler–Bernoulli and Timoshenko beams
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DOI: 10.1007/s00707-019-02493-w
Abstract: A new theoretical approach to resolve functionally graded beams is the subject of the present work. In particular, it is shown how the definition of some particular generalized quantities allows to simplify the form of… read more here.
Keywords: euler bernoulli; bernoulli timoshenko; functionally graded;
Forced vibration of piezoelectric and flexoelectric Euler–Bernoulli beams by dynamic Green’s functions
Sign Up to like & getrecommendations! Published in 2020 at "Acta Mechanica"
DOI: 10.1007/s00707-020-02859-5
Abstract: This work presents the dynamic response of piezoelectric and flexoelectric Euler–Bernoulli beams subjected to mechanical loads by means of Green’s functions. Exact solutions in closed form for the electromechanical coupling behaviors are derived. The present… read more here.
Keywords: flexoelectric euler; flexoelectric effect; bernoulli beams; piezoelectric flexoelectric ... See more keywords
Static, stability and dynamic analyses of second strain gradient elastic Euler–Bernoulli beams
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DOI: 10.1007/s00707-020-02902-5
Abstract: A simplified second strain gradient Euler–Bernoulli beam theory with two non-classical elastic coefficients in addition to the classical constants is presented. The governing equation and the associated classical and non-classical boundary conditions are derived with… read more here.
Keywords: euler bernoulli; second strain; strain gradient; beam ... See more keywords
Euler–Bernoulli elastic beam models of Eringen’s differential nonlocal type revisited within a $$\mathbf{C }^{0}-$$continuous displacement framework
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DOI: 10.1007/s11012-021-01361-z
Abstract: A theory of the Erigen’s differential nonlocal beams of (isotropic) elastic material is prospected independent of the original integral formulation. The beam problem is addressed within a $$C^{(0)}-$$ continuous displacement framework admitting slope discontinuities of… read more here.
Keywords: differential nonlocal; displacement framework; beam; euler bernoulli ... See more keywords
Free vibration analysis of Euler-Bernoulli beams with non-ideal clamped boundary conditions by using Padé approximation
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mechanical Science and Technology"
DOI: 10.1007/s12206-019-0216-2
Abstract: Using the non-ideal boundary condition model, which is a linear combination of ideal simply supported and ideal clamped boundary conditions, the equation governing the free vibration of Euler-Bernoulli beams produces nonlinear rational functions that relate… read more here.
Keywords: clamped boundary; boundary conditions; ideal clamped; euler bernoulli ... See more keywords
Dynamic responses of Euler–Bernoulli beam subjected to moving vehicles using isogeometric approach
Sign Up to like & getrecommendations! Published in 2017 at "Applied Mathematical Modelling"
DOI: 10.1016/j.apm.2017.06.037
Abstract: Abstract Dynamic analysis of beam structures subjected to moving vehicles using an isogeometric Euler–Bernoulli formulation is presented in this paper. The method utilizes B-Splines or Non-Uniform Rational–Splines (NURBS) as the basis functions for both geometric… read more here.
Keywords: using isogeometric; subjected moving; vehicles using; moving vehicles ... See more keywords
Closed-form solutions for vibrations analysis of cracked Timoshenko beams on elastic medium: An analytically approach
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DOI: 10.1016/j.engstruct.2021.111946
Abstract: Abstract In this paper a novel analytically method for analysing the dynamic behaviour of Timoshenko beam model, resting on Winkler-type elastic soil, under simply-supported boundary condition and with a crack is proposed. The beam is… read more here.
Keywords: closed form; timoshenko beams; auxiliary functions; beam ... See more keywords
Asymptotic stability of an Euler-Bernoulli beam coupled to non-linear spring-damper systems
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DOI: 10.1016/j.ifacol.2017.08.1102
Abstract: The stability of an undamped Euler Bernoulli beam connected to non-linear mass spring damper systems is addressed. It is shown that under mild assumptions on the local behaviour of the non-linear springs and dampers the… read more here.
Keywords: stability; euler bernoulli; non linear; spring damper ... See more keywords
Space-fractional Euler-Bernoulli beam model - Theory and identification for silver nanobeam bending
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DOI: 10.1016/j.ijmecsci.2020.105902
Abstract: Abstract This paper is concentrated on the non-local bending analysis of nanobeams and the improvement of the space-Fractional Euler-Bernoulli beam (s-FEBB) theory. A new kinematics is proposed for s-FEBB and a numerical algorithm is developed… read more here.
Keywords: space fractional; fractional euler; silver nanobeam; nanobeam bending ... See more keywords