• Title/Summary/Keyword: bending of a beam

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Exact Solutions for Bending-Torsion Coupled Vibration of Composite Timoshenko Beam (복합재 티모센코 보의 굽힘 비틀림 연성 진동에 대한 엄밀해)

  • Hong, Seong-Uk;Gang, Byeong-Sik;Park, Jung-Yun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.25 no.10
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    • pp.1559-1566
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    • 2001
  • This paper proposes a dynamic analysis method for obtaining exact solutions of composite Timoshenko beams, which are inherently subjected to both the bending , and torsional vibrations. In this paper, the bending-torsion coupled vibration of composite Timoshenko beam is rigorously modelled and analyzed. Two numerical examples are provided to validate and illustrate the bending-torsion coupled vibration of composite Timoshenko beam structure. The numerical examples prove that the proposed method is of great use for the dynamic analysis of dynamic structures composed of multiply connected composite Timoshenko beams.

Design Improvement of Composite Door Section Impact Beam by Three-Point Bending Analysis (3점 굽힘 하중 해석을 통한 복합재 도어 임팩트 빔 단면형상 설계개선)

  • Ha, Jung-Chan;Oh, Sung Ha;Baek, In-Seok;Lee, Seok-Soon
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.19 no.6
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    • pp.80-87
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    • 2020
  • The currently observed trend in car manufacturing is to increase energy-efficiency by producing lighter cars. This study examines the replacement of particular parts, specifically around the impact beam, with material composites 30% lighter than conventional steel currently used. The shape of the impact beam was determined as the trapezoidal cross-sectional area with central reinforcement, using three-point bending analysis. A prototype was fabricated based on the findings of our study and its performance was evaluated by the three-point bending analysis; 2 ply of aramid applied for its displacement. The performance of the final prototype for the door assembly was evaluated using a side-door strength test, which resulted to measured initial strength of 10.5 KN and intermediate strength of 15.6 KN. This research provides a promising solution for better impact beam manufacturing.

A Study on the Mixed Finite Element Models of Nonlinear Beam Bending Based on the Unconventional Residual Minimizing Method (비전통적 오차 최소화 방식에 기초한 비선형 빔의 휨에 대한 혼합형 유한요소해석 모델 연구)

  • Kim, Woo-Ram;Choi, Youn-Dae
    • Journal of the Korea Institute of Military Science and Technology
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    • v.12 no.6
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    • pp.785-795
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    • 2009
  • In this paper, new type of finite element models for the analysis of nonlinear beam bending are developed by using unconventional residual minimizing method to increase accuracy of finite element solutions and overcome some of computational drawbacks. Developing procedures of the new models are presented along with the comparison of the numerical results of existing beam bending models.

Study on mechanical performance of composite beam with innovative composite slabs

  • Yang, Yong;Yu, Yunlong;Zhou, Xianwei;Roeder, Charles W.;Huo, Xudong
    • Steel and Composite Structures
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    • v.21 no.3
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    • pp.537-551
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    • 2016
  • A new type of composite beam which consists of a wide flange steel shape beam and an innovative type of composite slab was introduced. The composite slab is composed of concrete slab and normal flat steel plates, which are connected by perfobond shear connectors (PBL shear connectors). This paper describes experiments of two large-scale specimens of that composite beam. Both specimens were loaded at two symmetric points for 4-point loading status, and mechanical behaviors under hogging and sagging bending moments were investigated respectively. During the experiments, the crack patterns, failure modes, failure mechanism and ultimate bending capacity of composite beam specimens were investigated, and the strains of concrete and flat steel plate as well as steel shapes were measured and recorded. As shown from the experimental results, composite actions were fully developed between the steel shape and the composite slab, this new type of composite beams was found to have good mechanical performance both under hogging and sagging bending moment with high bending capacity, substantial flexure rigidity and good ductility. It was further shown that the plane-section assumption was verified. Moreover, a design procedure including calculation methods of bending capacity of this new type of composite beam was studied and proposed based on the experimental results, and the calculation methods based on the plane-section assumption and plastic theories were also verified by comparisons of the calculated results and experimental results, which were agreed with each other.

Experimental Study on the Flexural Capacity of AU Composite Beam After the Heating Test (가열 시험을 거친 AU 합성보의 휨 성능에 관한 실험 연구)

  • Kim, Young Ho
    • Journal of Korean Association for Spatial Structures
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    • v.19 no.3
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    • pp.77-83
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    • 2019
  • AU(A plus U-shaped) composite beam was developed for reducing the story height in the residential buildings, and saving the cosrtuction cost of floor structures. Structural performance and economic feasibility of the composite beam have been sufficiently approved through the structural experiments and the analytical studies. Fire safety for the practical application of the composite beam has also been verified through the fire resistance tests and the heat transfer analyses. In this study 2-points bending tests were performed on the four specimens already tested for fire resistance to evaluate the residual bending strength of AU composite beam after fire accident. The same bending test was performed on the one fresh specimen having the same section and span of the specimens for practically comparative study.

Bending Analysis of Reinforced Tube Beams (굽힘하중을 받는 보강 사각관 보의 좌굴변형거동 해석)

  • Choi, Nak-Sam;Lee, Sung-Hyuk
    • Proceedings of the KSME Conference
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    • 2007.05a
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    • pp.60-65
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    • 2007
  • Local buckling behaviors of aluminum square tube beams reinforced by aluminum plates under three point bending loads have been analyzed using experimental tests combined with theoretical and finite element analyses. For this analysis true stresses were determined from applied loads and cross-sectional area records of a tensile specimen with a rectangular cross-section by real-time photographing. True strains were also obtained from in-situ local elongation measurements of the specimen gage portion by the multi-point scanning laser extensometer. Six kinds of aluminum tube beam specimens reinforced by aluminum plates were employed for the bending test. The bending deformation behaviors up to the maximum load analyzed by the numerical simulation agreed well with experimental ones. After passing the maximum load, reinforcing plate hindering the local buckling of the tube beam was debonded from the aluminum tube beam. An aluminum tube beam strengthened by aluminum plate on the upper web showed the most excellent bending capacity, which could be explained on the basis of the neutral axis shift and the local buckling deformation range.

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Size-dependent vibration and electro-magneto-elastic bending responses of sandwich piezomagnetic curved nanobeams

  • Arefi, Mohammed;Zenkour, Ashraf M.
    • Steel and Composite Structures
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    • v.29 no.5
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    • pp.579-590
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    • 2018
  • Size-dependent free vibration responses and magneto-electro-elastic bending results of a three layers piezomagnetic curved beam rest on Pasternak's foundation are presented in this paper. The governing equations of motion are derived based on first-order shear deformation theory and nonlocal piezo-elasticity theory. The curved beam is containing a nanocore and two piezomagnetic face-sheets. The piezomagnetic layers are imposed to applied electric and magnetic potentials and transverse uniform loadings. The analytical results are presented for simply-supported curved beam to study influence of some parameters on vibration and bending results. The important parameters are spring and shear parameters of foundation, applied electric and magnetic potentials, nonlocal parameter and radius of curvature of curved beam. It is concluded that the increase in radius of curvature tends to an increase in the stiffness of curved beam and consequently natural frequencies increase and bending results decrease. In addition, it is concluded that with increase of nonlocal parameter of curved beam, the stiffness of structure is decreased that leads to decrease of natural frequency and increase of bending results.

Fault Detection Method of Pipe-type Cantilever Beam with a Tip Mass (말단질량을 갖는 원형강관 캔틸레버 보의 결함탐지기법)

  • Lee, Jong Won
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.25 no.11
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    • pp.764-770
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    • 2015
  • A crack identification method using an equivalent bending stiffness and natural frequency for cracked beam is presented. Modal properties of cantilever beam with a tip mass is identified by applying the boundary conditions to a general solution. An equivalent bending stiffness for cracked beam based on an energy method is used to identify natural frequencies of cantilever thin-walled pipe with a tip mass, which has a through-the-thickness crack, subjected to bending. The identified natural frequencies of the cracked beam are used in constructing training patterns of neural networks. Then crack location and size are identified using a committee of the neural networks. Crack detection was carried out for an example beam using the proposed method, and the identified crack locations and sizes agree reasonably well with the exact values.

Stress Analysis of Curved Portions of Pipe Loops Used in Ships and Offshore Structures (선박 해양구조물 파이프 루프 곡선부의 응력 해석)

  • Park, Chi-Mo;Bae, Byoung-Il
    • Journal of Ocean Engineering and Technology
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    • v.25 no.5
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    • pp.52-57
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    • 2011
  • Most ships and offshore structures are equipped with a variety of pipes, which inevitably contain curved portions. While it has been a usual practice to conduct bending stress analyses of these curved pipes using the straight-beam theory, this paper adopts two different types of finite elements, straight-beam elements and two-dimensional shell elements, for finite element analyses of a variety of curved pipes. It then compares the analysis results for two different types of elements to determine correction factors, which can be used to transform the bending displacements and bending stresses obtained by straight-beam elements to those obtainable by two-dimensional shell elements. The paper ends with a practical suggestion on how to efficiently use these correction factors to estimate the combined axial and normal stresses in a curved portion of a pipe.

Effect of the micromechanical models on the bending of FGM beam using a new hyperbolic shear deformation theory

  • Zouatnia, Nafissa;Hadji, Lazreg
    • Earthquakes and Structures
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    • v.16 no.2
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    • pp.177-183
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    • 2019
  • In this paper, a new refined hyperbolic shear deformation beam theory for the bending analysis of functionally graded beam is presented. The theory accounts for hyperbolic distribution of the transverse shear strains and satisfies the zero traction boundary conditions on the surfaces of the functionally graded beam without using shear correction factors. In addition, the effect of different micromechanical models on the bending response of these beams is studied. Various micromechanical models are used to evaluate the mechanical characteristics of the FG beams whose properties vary continuously across the thickness according to a simple power law. Based on the present theory, the equilibrium equations are derived from the principle of virtual work. Navier type solution method was used to obtain displacement and stresses, and the numerical results are compared with those available in the literature. A detailed parametric study is presented to show the effect of different micromechanical models on the flexural response of a simply supported FG beams.