• Title/Summary/Keyword: Beam deformation

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Free vibration responses of nonlinear FG-CNT distribution in a polymer matrix

  • Zerrouki, Rachid;Hamidi, Ahmed;Tlidji, Youcef;Karas, Abdelkader;Zidour, Mohamed;Tounsi, Abdelouahed
    • Smart Structures and Systems
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    • v.30 no.2
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    • pp.135-143
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    • 2022
  • The object of this paper is to investigate the free vibration behavior under the effect of carbon nanotube distribution in functionally graded carbon nanotube-reinforced composite (FG-CNTRC) by using higher-order shear deformation theories. In this work, we present a novel distribution method for carbon nanotubes in the polymer matrix by using a new exponential power law distribution of carbon nanotube volume fraction. It is assumed that the SWCNTs are aligned along the beam axial direction and the distribution of the SWCNTs may vary through the thickness of the beam with different patterns of reinforcement. The rule of mixtures is used in order to obtain material properties of the CNTRC beams. Hamilton's principle is used in deriving the equations of motion. The validity of the free Vibration results is examined by comparing them with those of the known data in the literature. The results that obtained indicate that the carbon nanotube volume fraction distribution play a very important role on the free vibrations characteristics of the CNTRC beam.

Ductile capacity study of buckling-restrained braced steel frame with rotational connections

  • Mingming Jia;Jinzhou He;Dagang Lu
    • Steel and Composite Structures
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    • v.46 no.3
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    • pp.417-433
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    • 2023
  • The maximum ductility and cumulative ductility of connection joints of Buckling-Restrained Braced Frames (BRBF) are critical to the structural overall performance, which should be matched with the BRB ductility. The two-story and one-span BRBF with a one-third scale was tested under cyclic quasi-static loading, and the top-flange beam splice (TFBS) rotational connections were proposed and adopted in BRBF. The deformation capacity of TFBS connections was observed during the test, and the relationship between structural global ductility and local connection ductility was studied. The rotational capacity of the beam-column connections and the stability performance of the BRBs are highly relevant to the structural overall performance. The hysteretic curves of BRBF are stable and full under large displacement demand imposed up to 2% story drift, and energy is dissipated as the large plastic deformation developed in the structural components. The BRBs acted as fuses and yielded first, and the cumulative plastic ductility (CPD) of BRBs is 972.6 of the second floor and 439.7 of the first floor, indicating the excellent energy dissipation capacity of BRBs. Structural members with good local ductility ensure the large global ductility of BRBF. The ductile capacity and hysteretic behavior of BRBF with TFBS connections were compared with those of BRBF with Reduced Beam Section (RBS) connections in terms of the experimental results.

Nonlinear Finite Element Analysis of Reinforced Concrete Column using Timoshenko Beam Theory and Fiber Section Model (Timoshenko보 이론 및 층상화 단면모델을 이용한 RC 기둥의 비선형 유한요소해석)

  • Park, Soon Eung;Park, Moon Ho;Kwon, Min Ho
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.26 no.4A
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    • pp.577-585
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    • 2006
  • In this research, nonlinear Timoshenko beam element that is able to capture nonlinear shear deformation is developed. The proposed model shows more reasonable prediction than Bernoulli beam theory in short columns or strong shear column due to the consideration of shear deformation. The cross-section is modeled as fiber approach. Since the model is based on the fiber approach for section discretization, the plastic progress of the section can be traced and the coupling effect of the axial and flexural response. The developed element is implemented into the finite element program to analysis general reinforced concrete structures. As parametric study, reinforced concrete columns are analyzed and compared with experimental results, analyzed the property of behavior for reinforced concrete columns.

The finite element model research of the pre-twisted thin-walled beam

  • Chen, Chang Hong;Zhu, Yan Fei;Yao, Yao;Huang, Ying
    • Structural Engineering and Mechanics
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    • v.57 no.3
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    • pp.389-402
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    • 2016
  • Based on the traditional mechanical model of thin-walled straight beam, the paper makes analysis and research on the pre-twisted thin-walled beam finite element numerical model. Firstly, based on the geometric deformation differential relationship, the Saint-Venant warping strain of pre-twisted thin-walled beam is deduced. According to the traditional thin-walled straight beam finite element mechanical model, the finite element stiffness matrix considering the Saint-Venant warping deformations is established. At the same time, the paper establishes the element stiffness matrix of the pre-twisted thin-walled beam based on the classic Vlasov Theory. Finally, by calculating the pre-twisted beam with elliptical section and I cross section and contrasting three-dimensional solid finite element using ANSYS, the comparison analysis results show that pre-twisted thin-walled beam element stiffness matrix has good accuracy.

Buckling Analysis of Thin-Walled Laminated Composite I-Beams Including Shear Deformation (전단변형을 고려한 적층복합 I형 박벽보의 좌굴해석)

  • Back, Sung Yong;Lee, Seung Sik;Park, Yong Myung
    • Journal of Korean Society of Steel Construction
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    • v.18 no.5
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    • pp.575-584
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    • 2006
  • In this paper, a shear-flexible finite element model is developed for the buckling analysis of axially loaded, thin-walled composite I-beams. Based on an orthogonal Cartesian coordinate system, the displacement fields are defined using the first-order shear-deformable beam theory. The derived element takes into account flexural shear deformation and torsional warping deformation. Three different types of beam elements, namely, the two-noded, three-noded, and four-noded beam elements, were developed to solve the governing equations. An inverse iteration with shift eigenvalue solution was used to solve the resulting linearized buckling problem. A parametric study was conducted to show the importance of shear flexibility and fiber orientation on the buckling behavior of thin-walled composite beams. A good agreement was obtained among the proposed shear-flexible model, other results available in literature, and the finite element solution.

The Prevention of The Longitudinal Deformation due to Fillet Welding by using Induction Heating (고주파가열에 의한 Built-up재의 용접종굽힘 변형방지)

  • Park Jeong-Ung;Chang Kyong-Ho;Lee Hae-Woo;An Gyu-Baek
    • Journal of Welding and Joining
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    • v.23 no.3
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    • pp.47-53
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    • 2005
  • Longitudinal deformation is produced by fillet welding during the fabrication of built-up beams and decreases productivity and quality because it needs an extra correcting process. The deformation is caused by welding moment, which is the value multiplied the welding shrinking farce by the distance from the neutral axis. This welding moment can be offset by generating a moment in the same magnitude and in an opposite direction by induction heating. The location and quantity of the induction heating are decided via experiments and simple equations. This study, first, clarifies the creation mechanism of the longitudinal deformation with FEM analysis. Then, we presents the preventive method of this deformation by induction heating basing on the mechanism and verifies its validity through analysis and experiments.

Deformation-based Strut-and-Tie Model for flexural members subject to transverse loading

  • Hong, Sung-Gul;Lee, Soo-Gon;Hong, Seongwon;Kang, Thomas H.K.
    • Computers and Concrete
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    • v.18 no.6
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    • pp.1213-1234
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    • 2016
  • This paper describes a deformation-based strut-and-tie model for the flexural members at post-yield state. Boundary deformation conditions by flexural post-yield response are chosen in terms of the flexural bar strains as the main factor influenced on the shear strength. The main purpose of the proposed model is to predict the shear capacities of the flexural members associated with the given flexural deformation conditions. To verify the proposed strut-and-tie model, the estimated shear strengths depending on the flexural deformation are compared with the experimental results. The experimental data are in good agreement with the values obtained by the proposed model.

3-Node Relaxed-Equiribrium Hybrid-Mixed Curved Beam Elements (완화된 평형조건을 만족하는 응력함수를 가지는 3절점 혼합 곡선보요소)

  • Kim, Jin-Gon
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.21 no.2
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    • pp.153-160
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    • 2008
  • In this study, we propose a new three-node hybrid-mixed curved beam element with the relaxed-equiribrium stress functions for static analysis. The proposed element considering shear deformation is based on the Hellinger-Reissner variational principle. The stress functions are carefully chosen from three important considerations: (i) all the kinematic deformation modes must be suppressed, and (ii) the spurious constraints must be removed in the limiting behaviors via the field-consistency, and (iii) the relaxed equilibrium conditions could be incorporated because it might be impossible to select the stress functions and parameters to fully satisfy both the equiribrium conditions and the suppression of kinematic deformation modes in the three-node curved beam hybrid-mixed formulation. Numerical examples confirm the superior and stable behavior of the proposed element regardless of slenderness ratio and curvature. Besides, the proposed element shows the outstanding performance in predicting the stress resultant distributions.

Web-shear strength of steel-concrete composite beams with prestressed wide flange and hollowed steel webs: Experimental and practical approach

  • Han, Sun-Jin;Kim, Jae Hyun;Choi, Seung-Ho;Heo, Inwook;Kim, Kang Su
    • Structural Engineering and Mechanics
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    • v.84 no.3
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    • pp.311-321
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    • 2022
  • In the buildings with long spans and high floors, such as logistics warehouses and semiconductor factories, it is difficult to install supporting posts under beams during construction. Therefore, the size of structural members becomes larger inevitably, resulting in a significant increase in construction costs. Accordingly, a prestressed hybrid wide flange (PHWF) beam with hollowed steel webs was developed, which can reduce construction costs by making multiple openings in the web of the steel member embedded in concrete. However, since multiple openings exist and prestress is introduced only into the bottom flange concrete, it is necessary to identify the shear resistance mechanism of the PHWF beam. This study presents experimental shear tests of PHWF beams with hollowed steel webs. Four PHWF beams with cast-in-place (CIP) concrete were fabricated, with key variables being the width and spacing of the steel webs embedded in the concrete and the presence of shear reinforcing bars, and web-shear tests were conducted. The shear behavior of the PHWF beam, including crack patterns, strain behavior of steel webs, and composite action between the prestressed bottom flange and CIP concrete, were measured and analyzed comprehensively. The test results showed that the steel web resists external shear forces through shear deformation when its width is sufficiently large, but as its width decreased, it exerted its shear contribution through normal deformation in a manner similar to that of shear reinforcing bars. In addition, it was found that stirrups placed on the cross section where the steel web does not exist contribute to improving the shear strength and deformation capacity of the member. Based on the shear behavior of the specimens, a straightforward calculation method was proposed to estimate the web-shear strength of PHWF beams with CIP concrete, and it provided a good estimation of the shear strength of PHWF beams, more accurate than the existing code equations.

Theoretical analysis of composite beams under uniformly distributed load

  • Daouadji, Tahar Hassaine;Adim, Belkacem
    • Advances in materials Research
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    • v.5 no.1
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    • pp.1-9
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    • 2016
  • The bending problem of a functionally graded cantilever beam subjected to uniformly distributed load is investigated. The material properties of the functionally graded beam are assumed to vary continuously through the thickness, according to a power-law distribution of the volume fraction of the constituents. First, the partial differential equation, which is satisfied by the stress functions for the axisymmetric deformation problem is derived. Then, stress functions are obtained by proper manipulation. A practical example is presented to show the application of the method.