• Title/Summary/Keyword: equivalent beam element

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Testing and finite element modeling of stressed skin diaphragms

  • Liu, Yang;Zhang, Qilin;Qian, Weijun
    • Steel and Composite Structures
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    • v.7 no.1
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    • pp.35-52
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    • 2007
  • The cold formed light-gauge profiled steel sheeting can offer considerable shear resistance acting in the steel building frame. This paper conducted the full-scale test on the shear behavior of stressed skin diaphragm using profiled sheeting connected by the self-tapping screws. A three-dimensional finite element model that simulates the stressed skin diaphragm was developed. The sheet was modeled using thin element model while the supporting members were simulated using beam elements. Fasteners were represented in the numerical model as equivalent springs. A joint test program was conducted to characterize the properties of these springs and results were reported in this study. Finite element model of the full-scale test was analyzed by use of the ANSYS package, considering nonlinearity caused by the large deflection and slip of fasteners. The experimental data was compared with the results acquired by the EUR formulas and finite element analysis.

A simplified method for free vibration analysis of wall-frames considering soil structure interaction

  • Kara, Dondu;Bozdogan, Kanat Burak;Keskin, Erdinc
    • Structural Engineering and Mechanics
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    • v.77 no.1
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    • pp.37-46
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    • 2021
  • In this study, a method for free vibration analysis of wall-frame systems built on weak soil is proposed. In the development of the method, the wall-frame system that constitutes the superstructure was modeled as flexural-shear beam. In the study, it is accepted that the soil layers are isotropic, homogeneous and elastic, and the waves are only vertical propagating shear waves. Based on this assumption, the soil layer below is modeled as an equivalent shear beam. Then the differential equation system that represented the behavior of the whole system was written for both regions in a separate way. Natural periods were obtained by solving the differential equations by employing boundary conditions. At the end of the study, two examples were solved and the suitability of the proposed method to the Finite Element Method was evaluated.

Vibration of nonlocal perforated nanobeams with general boundary conditions

  • Eltaher, Mohamed A.;Mohamed, Norhan A.
    • Smart Structures and Systems
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    • v.25 no.4
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    • pp.501-514
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    • 2020
  • This article presents a comprehensive model to investigate a free vibration and resonance frequencies of nanostructure perforated beam element as nano-resonator. Nano-scale size dependency of regular square perforated beam is considered by using nonlocal differential form of Eringen constitutive equation. Equivalent mass, inertia, bending and shear rigidities of perforated beam structure are developed. Kinematic displacement assumptions of both Timoshenko and Euler-Bernoulli are assumed to consider thick and thin beams, respectively. So, this model considers the effect of shear on natural frequencies of perforated nanobeams. Equations of motion for local and nonlocal elastic beam are derived. After that, analytical solutions of frequency equations are deduced as function of nonlocal and perforation parameters. The proposed model is validated and verified with previous works. Parametric studies are performed to illustrate the influence of a long-range atomic interaction, hole perforation size, number of rows of holes and boundary conditions on fundamental frequencies of perforated nanobeams. The proposed model is supportive in designing and production of nanobeam resonator used in nanoelectromechanical systems NEMS.

Analysis of Residual Stresses at Manufacturing Precesses for Microaccelerometer Sensors (미소가속도계 센서의 제조공정에서 잔류응력 해석)

  • 김옥삼
    • Journal of Advanced Marine Engineering and Technology
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    • v.25 no.3
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    • pp.631-635
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    • 2001
  • The major problems associated with the manufacturing processes of the microaccelerometer based on the tunneling current concept is the residual stress. This paper deals with finite element analysis of residual stress causing pop up phenomenon which are induced in micromachining processes for a microaccelerometers sensor using silicon on insulator(SOI) wafer. After heating the tunnel gap up to $100^{\circ}C$and get it through cooling process and the additional beam up to $80^{\circ}C$get it through the cooling process. We learn the residual stress of each shape and compare the results with each other, after heating the tunnel gap up to $400^{\circ}Cduring$ the Pt deposition process. The equivalent stresses produced during the heating process of focused ion beam(FIB) cut was also to be about $0.02~0.25Pa/^{\circ}C$and cooling process the gradient of residual stresses of about $8.4\{times}10^2Pa/{\mu}m$ still at cantilever beam and connected part of paddle. We want to seek after the real cause of this pop up phenomenon and diminish this by change manufacturing processes of microaccelerometer sensors.

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Element free formulation for connecting sub-domains modeled by finite elements

  • Pan, Chan-Ping;Tsai, Hsing-Chih
    • Structural Engineering and Mechanics
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    • v.25 no.4
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    • pp.467-480
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    • 2007
  • Two methods were developed for analyzing problems with two adjacent sub-domains modeled by different kinds of elements in finite element method. Each sub-domain can be defined independently without the consideration of equivalent division with common nodes used for the interface. These two methods employ an individual interface to accomplish the compatibility. The MLSA method uses the moving least square approximation which is the basic formulation for Element Free Galerkin Method to formulate the interface. The displacement field assumed by this method does not pass through nodes on the common boundary. Therefore, nodes can be chosen freely for this method. The results show that the MLSA method has better approximation than traditional methods.

Experimental and analytical investigation of steel beams rehabilitated using GFRP sheets

  • El Damatty, A.A.;Abushagur, M.;Youssef, M.A.
    • Steel and Composite Structures
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    • v.3 no.6
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    • pp.421-438
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    • 2003
  • Aging and deterioration of existing steel structures necessitate the development of simple and efficient rehabilitation techniques. The current study investigates a methodology to enhance the flexural capacity of steel beams by bonding Glass Fibre Reinforced Plastic (GFRP) sheets to their flanges. A heavy duty adhesive, tested in a previous study is used to bond the steel and the GFRP sheet. In addition to its ease of application, the GFRP sheet provides a protective layer that prevents future corrosion of the steel section. The study reports the results of bending tests conducted on a W-shaped steel beam before and after rehabilitation using GFRP sheets. Enhancement in the moment capacity of the beam due to bonding GFRP sheet is determined from the test results. A closed form analytical model that can predict the yield moment as well as the stresses induced in the adhesive and the GFRP sheets of rehabilitated steel beam is developed. A detailed finite element analysis for the tested specimens is also conducted in this paper. The steel web and flanges as well as the GFRP sheets are simulated using three-dimensional brick elements. The shear and peel stiffness of the adhesive are modeled as equivalent linear spring systems. The analytical and experimental results indicate that a significant enhancement in the ultimate capacity of the steel beam is achieved using the proposed technique. The finite element analysis is employed to describe in detail the profile of stresses and strains that develop in the rehabilitated steel beam.

Equivalent Strut Model for Seismic Design of Steel Moment Connections Reinforced with Ribs (리브로 보강된 철골 모멘트 접합부의 내진설계를 위한 등가 스트럿 모델)

  • 이철호
    • Journal of the Earthquake Engineering Society of Korea
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    • v.5 no.3
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    • pp.79-85
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    • 2001
  • This paper presents an equivalent strut model for seismic design of steel moment connections reinforced with ribs. It is shown from the finite element analysis results that the force transfer mechanism in the rib connections is completely different from that predicted by the classical beam theory and a clear strut action in the ribs does exist. By treating the rib as a strut, an equivalent strut model that could be used as the basis of a practical design procedure is proposed.

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A simplified model proposal for non-linear analysis of buildings

  • Abdul Rahim Halimi;Kanat Burak Bozdogan
    • Earthquakes and Structures
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    • v.24 no.5
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    • pp.353-364
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    • 2023
  • In this study, a method has been proposed for the static and dynamic nonlinear analysis of multi-storey buildings, which takes into account the contribution of axial deformations in vertical load-bearing elements, which are especially important in tall and narrow structures. Shear deformations on the shear walls were also taken into account in the study. The presented method takes into account the effects that are not considered in the fishbone and flexural-shear beam models developed in the literature. In the Fishbone model, only frame systems are modeled. In the flexural shear beam model developed for shear wall systems, shear deformations and axial deformations in the walls are neglected. Unlike the literature, with the model proposed in this study, both shear deformations in the walls and axial deformations in the columns and walls are taken into account. In the proposed model, multi-storey building is represented as a sandwich beam consisting of Timoshenko beams pieced together with a double-hinged beam. At each storey, the total moment capacities of the frame beams and the coupled beams in the coupled shear walls are represented as the equivalent shear capacity. On the other hand, The sums of individual columns and walls moment at the relevant floor level are represented as equivalent moment capacity at that floor level. At the end of the study, examples were solved to show the suitability of the proposed method in this study. The SAP2000 program is employed in analyses. In a conclusion, it is observed that among the solved examples, the proposed sandwich beam model gives good results. As can be seen from these results, it is seen that the presented method, especially in terms of base shear force, gives very close results to the detailed finite element method.

Probabilistic Analysis of Dynamic Characteristics of Structures considering Joint Fastening and Tolerance (체결부 및 공차를 고려한 구조물의 확률기반 동적 특성 연구)

  • Won, Jun-Ho;Kwang, Kang-Jin;Choi, Joo-Ho
    • Journal of the Korean Society for Aviation and Aeronautics
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    • v.18 no.4
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    • pp.44-50
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    • 2010
  • Structural vibration is a significant problem in many multi-part or multi-component assemblies. In aircraft industry, structures are composed of various fasteners, such as bolts, snap, hinge, weld or other fastener or connector (collectively "fasteners"). Due to these, prediction and design involving dynamic characteristics is quite complicated. However, the current state of the art does not provide an analytical tool to effectively predict structure's dynamic characteristics, because consideration of structural uncertainties (i.e. material properties, geometric tolerance, dimensional tolerance, environment and so on) is difficult and very small fasteners in the structure cause a huge amount of analysis time to predict dynamic characteristics using the FEM (finite element method). In this study, to resolve the current state of the art, a new approach is proposed using the FEM and probabilistic analysis. Firstly, equivalent elements are developed using simple element (e.g. bar, beam, mass) to replace fasteners' finite element model. Developed equivalent elements enable to explain static behavior and dynamic behavior of the structure. Secondly, probabilistic analysis is applied to evaluate the PDF (probability density function) of dynamic characteristics due to tolerance, material properties and so on. MCS (Monte-Carlo simulation) is employed for this. Proposed methodology offers efficiency of dynamic analysis and reality of the field as well. Simple plates joined by fasteners are taken as an example to illustrate the proposed method.

A Study on the Joint Stiffness of Automotive Structural Model (차체구조 모형의 조인트 해석에 관한 연구)

  • Mun, Yong-Mo;Jee, Tae-Han;Park, Young-Pil
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.5
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    • pp.1445-1457
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    • 1996
  • In building a finite element model of as automotive structure, the pillars and rockers are generally modeled as beam elemnts. The finite elemtns modeling using beam is faster and more efficient than that using shell elemetns. A joint is defined as theintersectio region of beam elemts and generally modeled with coupled rotational springs. In this study, hoint modeling technique is presented. First, the definitions of and anlaysis hypothesis for the joint are defined. Second the evaluation method of the joint stiffness from the static test is proposed. This method is simpler than existing evaluaiton methods. Third, the sensitivity analysis method and updating algorithm forjoint stiffness are presented. To verify these melthods, the finite element results of structural models with rigid joints and rotational spring joints are compared with experimental results.