A Cardinal‐Based Approximate Method for Time Fractional Forced Vibration Analysis of Euler–Bernoulli Viscoelastic Beam
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DOI: 10.1002/mma.10866
Abstract: In this work, fractional derivative in the Caputo form is employed to express time fractional forced vibration of Euler–Bernoulli viscoelastic beam equation. The viscoelastic behavior of the beam is described using a fractional Kelvin‐Voigt model,… read more here.
Keywords: forced vibration; beam; time fractional; bernoulli viscoelastic ... See more keywords
Constraint Realization‐Based Hamel Field Integrator for Geometrically Exact Planar Euler–Bernoulli Beam Dynamics
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DOI: 10.1002/nme.7603
Abstract: In this article, we first introduce a Hamel field integrator designed for a geometrically exact Euler–Bernoulli beam with infinite‐dimensional holonomic constraints, constructed using a Lagrange multiplier. This method addresses the complexities introduced by constraints, but… read more here.
Keywords: bernoulli beam; hamel field; euler bernoulli; field integrator ... See more keywords
Adaptive neural network control for a nonlinear Euler‐Bernoulli beam in three‐dimensional space with unknown control direction
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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
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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
Thermal effects on nonlinear vibration of nonlocal nanobeam embedded in nonlinear elastic medium
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DOI: 10.1007/s00707-024-03894-2
Abstract: Nanotechnology has an impact on our lives in a many ways, from better medical treatments and more efficient energy sources to stronger and lighter materials and advanced electronics and this article presents the implementation of… read more here.
Keywords: nonlinear elastic; thermal effects; nanobeam; effects nonlinear ... 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
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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
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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