Euler Bernoulli Beam
Mostrando 1-12 de 33 artigos, teses e dissertações.
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1. Improved finite element of a transversely cracked straight beam with an additional degree of freedom
Abstract A new finite element with an additional degree of freedom at the crack location is derived for static bending analysis of a transversely cracked uniform slender beam. In the simplified computational model, which is based on Euler-Bernoulli's theory of small displacements, the crack is represented by a linear rotational spring connecting two elastic
Lat. Am. j. solids struct.. Publicado em: 27/06/2019
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2. A Unified Approach to the Timoshenko Geometric Stiffness Matrix Considering Higher-Order Terms in the Strain Tensor
Abstract Nonlinear analyses using an updated Lagrangian formulation considering the Euler-Bernoulli beam theory have been developed with consistency in the literature, with different geometric matrices depending on the nonlinear displacement parts considered in the strain tensor. When performing this type of analysis using the Timoshenko beam theory, in gene
Lat. Am. j. solids struct.. Publicado em: 25/04/2019
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3. Modeling and Experimental Validation of Two Adjacent Portal Frame Structures Subjected to Vibro-impact
Abstract In many engineering applications, there are systems that exhibit a series of collisions in a certain amount of time, for example the impact of floating ice in ships and the rubbing between stationary and rotary parts in turbomachinery. In many of these situations, it is of vital importance to know how the impacts affect the overall system behavior f
Lat. Am. j. solids struct.. Publicado em: 08/04/2019
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4. Finite element formulation and analysis of a functionally graded Timoshenko beam subjected to an accelerating mass including inertial effects of the mass
Abstract This study describes a new finite element method that can be used to analyse transverse and axial vibrations of a Functionally Graded Material (FGM) beam under an accelerating / decelerating mass. The differential equations of the FGM beam are obtained using First-order Shear Deformation Theory (FSDT). In these equations, the interaction terms of ma
Lat. Am. j. solids struct.. Publicado em: 08/10/2018
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5. Flexural Wave Band Gaps in Phononic Crystal Euler-Bernoulli Beams Using Wave Finite Element and Plane Wave Expansion Methods
We investigate theoretically and experimentally the forced response of flexural waves propagating in a 1D phononic crystal (PC) Euler-Bernoulli beam, composed by steel and polyethylene, and its band structure. The finite element, spectral element, wave finite element, wave spectral element, conventional and improved plane wave expansion methods are applied.
Mat. Res.. Publicado em: 08/01/2018
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6. Nonlinear Vibration Analysis of Euler-Bernoulli Beams by Using Continuous Galerkin-Petrov Time-Discretization Method
Abstract In this paper, we present a new numerical method for nonlinear vibrational analysis of Euler-Bernoulli beams. Our approach is based on the continuous Galerkin-Petrov time discretization method. The Euler-Bernoulli beam equation which governs its vibrations is transformed into set of ordinary differential equations and the presented method is employe
Lat. Am. j. solids struct.. Publicado em: 2017-09
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7. A Variable-Length Beam Element Incorporating the Effect of Spinning
Abstract This paper proposes a novel variable-length beam element that takes into account the effect of beam spinning. This is the first such beam element of variable length based on the absolute nodal coordinate formulation. In addition to the position and slope vectors, the angles of rotation around the element axis of cross sections that contain two nodes
Lat. Am. j. solids struct.. Publicado em: 2017-08
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8. A C1 Beam Element Based on Overhauser Interpolation
Abstract A new C1 element is proposed to model Euler-Bernoulli beams in one and two-dimensional problems. The proposed formulation assures C1 continuity requirement without the use of rotational degrees of freedom, used in traditional elements, through the use of an Overhauser interpolation scheme for bending displacements. The principle of virtual displacem
Lat. Am. j. solids struct.. Publicado em: 2017-01
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9. Flutter Instability of Timoshenko Cantilever Beam Carrying Concentrated Mass on Various Locations
Abstract This paper presents effects of shear deformation on flutter instability of cantilever beam subject to a concentrated follower force. The discrete form of equation of motion is formulated based on the Lagrange. In the presented formulation, the beam is modeled using Timoshenko beam theory, and constant shear distribution through the thickness of the
Lat. Am. j. solids struct.. Publicado em: 2016-12
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10. Crack Detection Using Mixed Axial and Bending Natural Frequencies in Metallic Euler-Bernoulli Beam
Abstract For many years, several crack detection attempts have been using measurements of the structure's modal parameters. One of the easiest is to measure and correlate the change in natural frequencies to cracks. The direct and inverse problem have been discussed in literature. However, the inverse problem, being addressed in this paper, is a challenging
Lat. Am. j. solids struct.. Publicado em: 2016-09
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11. Analytical Approximation of Nonlinear Vibration of Euler-Bernoulli Beams
Abstract In this paper, the Homotopy Analysis Method (HAM) with two auxiliary parameters and Differential Transform Method (DTM) are employed to solve the geometric nonlinear vibration of Euler-Bernoulli beams subjected to axial loads. A second auxiliary parameter is applied to the HAM to improve convergence in nonlinear systems with large deformations. The
Lat. Am. j. solids struct.. Publicado em: 2016-07
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12. Application of Higher Order Hamiltonian Approach to the Nonlinear Vibration of Micro Electro Mechanical Systems
Abstract This paper implements the higher order Hamiltonian method to analyze an electrostatically actuated nonlinear micro beam-based micro electro mechanical oscillator. First, second and third approximate solutions are obtained, and the frequency responses of the system are compared with energy balance method solution and previously solved Variational App
Lat. Am. j. solids struct.. Publicado em: 2016-03