• 제목/요약/키워드: bending deformation

검색결과 1,190건 처리시간 0.027초

Series solutions for spatially coupled buckling anlaysis of thin-walled Timoshenko curved beam on elastic foundation

  • Kim, Nam-Il
    • Structural Engineering and Mechanics
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    • 제33권4호
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    • pp.447-484
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    • 2009
  • The spatially coupled buckling, in-plane, and lateral bucking analyses of thin-walled Timoshenko curved beam with non-symmetric, double-, and mono-symmetric cross-sections resting on elastic foundation are performed based on series solutions. The stiffness matrices are derived rigorously using the homogeneous form of the simultaneous ordinary differential equations. The present beam formulation includes the mechanical characteristics such as the non-symmetric cross-section, the thickness-curvature effect, the shear effects due to bending and restrained warping, the second-order terms of semitangential rotation, the Wagner effect, and the foundation effects. The equilibrium equations and force-deformation relationships are derived from the energy principle and expressions for displacement parameters are derived based on power series expansions of displacement components. Finally the element stiffness matrix is determined using force-deformation relationships. In order to verify the accuracy and validity of this study, the numerical solutions by the proposed method are presented and compared with the finite element solutions using the classical isoparametric curved beam elements and other researchers' analytical solutions.

강판의 곡가공 시뮤레이션을 위한 전산시스템 개발 (Development of Software System for Plate Forming Simulation)

  • 이주성
    • 한국해양공학회지
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    • 제13권1호통권31호
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    • pp.79-87
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    • 1999
  • As it is well appreciated plate forming by line heating takes an important role in ship production process. The paper deals with the development of line heating simulator which can produce the resultant deformation due to line heating in a few minute adn with which user can see the result graphically. For the present purpose mechanical modelling is adopted which can explicitly represent the physical resultant of line heating. In developing the present line heating simulator several program modules are integrated by adopting GUI concept such that the simulator can produce resultant deformation with keeping high accuracy. Application example is illustrated for the twisted shape surface which can be frequently seen in ship and offshore structures.

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피라미드 코어를 가진 샌드위치 판재의 성형해석기술 개발 (Development of Analysis Method for Forming of Sandwich Sheet with Pyramid Core)

  • 임성진;김종호;성대용;양동열;정완진
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2007년도 춘계학술대회 논문집
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    • pp.266-267
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    • 2007
  • Sandwich sheet with inner structure is expected to find many applications because of high stiffness to mass ratio. In order to simulate forming of sandwich sheet with pyramid core, an effective simulation method is required. Compared to the expensive model using solid elements, cost effective model using simplified elements such as shells and beams is developed. By comparing two models in terms of the cost and accuracy for unit cell deformation, a developed model shows some advantages over the model using solid elements. Evolution of two kind of forming limits, face buckling and core buckling are successfully expressed by developed model. Developed model is also applied in the simulation of square cup drawing and L-type bending. The corresponding experiments are carried out. Deformation shape and wrinkling behavior are compared and discussed. It is found that simulation results using a developed model are in good agreement with experiments.

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캐비닛내부응답스펙트럼을 위한 전기캐비닛 전도강성 (Rocking Stiffness of Electrical Cabinet for In-Cabinet Response Spectrum)

  • 정연하;홍기증;조성국
    • 한국지진공학회논문집
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    • 제24권2호
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    • pp.95-102
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    • 2020
  • Electrical instruments and devices contained in cabinets for controlling nuclear power plants require seismic qualification; likewise, in-cabinet response spectrum (ICRS) is necessary. Gupta et al. (1999) suggested the Ritz method, where rocking, frame bending, and plate bending behaviors of cabinets are considered, as a method for determining ICRS. This research proposes a method to determine the rocking stiffness of cabinets, which represents its rocking behavior. The cabinet is fixed on mounting frames and is connected to the base concrete by anchors. When horizontal excitation is applied to the cabinet, the mounting frames at anchors are locally deformed, the mounting frames are bent, and then rocking in the cabinet becomes evident. A method to determine equivalent vertical spring stiffness representing the local deformation of the mounting frames at anchors is then proposed. Subsequently, the rocking stiffness of this mounting frame is calculated upon assumption of the mounting frame as an indeterminate beam.

Bending analysis of an imperfect advanced composite plates resting on the elastic foundations

  • Daouadji, Tahar Hassaine;Benferhat, Rabia;Adim, Belkacem
    • Coupled systems mechanics
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    • 제5권3호
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    • pp.269-283
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    • 2016
  • A two new high-order shear deformation theory for bending analysis is presented for a simply supported, functionally graded plate with porosities resting on an elastic foundation. This porosities may possibly occur inside the functionally graded materials (FGMs) during their fabrication, while material properties varying to a simple power-law distribution along the thickness direction. Unlike other theories, there are only four unknown functions involved, as compared to five in other shear deformation theories. The theories presented are variationally consistent and strongly similar to the classical plate theory in many aspects. It does not require the shear correction factor, and gives rise to the transverse shear stress variation so that the transverse shear stresses vary parabolically across the thickness to satisfy free surface conditions for the shear stress. It is established that the volume fraction of porosity significantly affect the mechanical behavior of thick function ally graded plates. The validity of the two new theories is shown by comparing the present results with other higher-order theories. The influence of material parameter, the volume fraction of porosity and the thickness ratio on the behavior mechanical P-FGM plate are represented by numerical examples.

Effects of foam core density and face-sheet thickness on the mechanical properties of aluminum foam sandwich

  • Yan, Chang;Song, Xuding
    • Steel and Composite Structures
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    • 제21권5호
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    • pp.1145-1156
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    • 2016
  • To study the effects of foam core density and face-sheet thickness on the mechanical properties and failure modes of aluminum foam sandwich (AFS) beam, especially when the aluminum foam core is made in aluminum alloy and the face sheet thickness is less than 1.5 mm, three-point bending tests were investigated experimentally by using WDW-50E electronic universal tensile testing machine. Load-displacement curves were recorded to understand the mechanical response and photographs were taken to capture the deformation process of the composite structures. Results demonstrated that when foam core was combined with face-sheet thickness of 0.8 mm, its carrying capacity improved with the increase of core density. But when the thickness of face-sheet increased from 0.8 mm to 1.2 mm, result was opposite. For AFS with the same core density, their carrying capacity increased with the face-sheet thickness, but failure modes of thin face-sheet AFS were completely different from the thick face-sheet AFS. There were three failure modes in the present research: yield damage of both core and bottom face-sheet (Failure mode I), yield damage of foam core (Failure mode II), debonding between the adhesive interface (Failure mode III).

직렬 4기통 엔진용 밸런스 샤프트의 베어링 및 불평형 질량 위치 결정 문제 (Location Issue of Bearing and Unbalance Mass on the Balance Shaft for a Inline 4-Cylinder Engine)

  • 배철용;김찬중;이동원;권성진;이봉현
    • 한국소음진동공학회논문집
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    • 제18권3호
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    • pp.277-283
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    • 2008
  • Balance shaft module contributes to reduce the engine-born vibration by compensating it from a unbalance mass with opposite phase but practically, this device has some problems during the operation in a high speed owing to the considerable amount of unbalance mass that leads to the large quantity of bending deformation as well as torque fluctuation at the balance shaft. To tackle two main problems, the design strategy on balance shaft is suggested by addressing the optimal location of unbalance mass and supporting hearing based on the formulation of objective function that minimizes critical issues, both bending deformation as well as torque fluctuation. The boundary condition of balance shaft assumes to be free such that any external force or contact component is not taken into consideration in this study.

A new and simple HSDT for isotropic and functionally graded sandwich plates

  • Driz, Hafida;Benchohra, Mamia;Bakora, Ahmed;Benachour, Abdelkader;Tounsi, Abdelouahed;Bedia, El Abbes Adda
    • Steel and Composite Structures
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    • 제26권4호
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    • pp.387-405
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    • 2018
  • A novel higher shear deformation theory (HSDT) is proposed for the bending, buckling and free vibration investigations of isotropic and functionally graded (FG) sandwich plates. It contains only four variables, which is even less than the first shear deformation theory (FSDT) and the conventional HSDTs. The model accounts for a parabolic variation of transverse shear stress, respects the traction free boundary conditions and contrary to the conventional HSDTs, the present one presents a novel displacement field which incorporates undetermined integral terms. Equations of motion determined in this work are applied for three types of FG structures: FG plates, sandwich plates with FG core and sandwich plates with FG faces. Analytical solutions are given to predict the transverse displacements, stresses, critical buckling forces and natural frequencies of simply supported plates and a comparison study is carried out to demonstrate the accuracy of the proposed model.

Dynamic bending behaviours of RC beams under monotonic loading with variable rates

  • Xiao, Shiyun;Li, Jianbo;Mo, Yi-Lung
    • Computers and Concrete
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    • 제20권3호
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    • pp.339-350
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    • 2017
  • Dynamic behaviours of reinforced concrete (RC) bending beams subjected to monotonic loading with different loading rates were studied. A dynamic experiment was carried out with the electro-hydraulic servo system manufactured by MTS (Mechanical Testing and Simulation) Systems Corporation to study the effect of loading rates on the mechanical behaviours of RC beams. The monotonic displacement control loading, with loading rates of 0.1 mm/s, 0.5 mm/s, 1 mm/s, 5 mm/s and 10 mm/s, was imposed. According to the test results, the effects of loading rates on the failure model and load-displacement curve of RC beams were investigated. The influences of loading rates on the cracking, ultimate, yield and failure strengths and displacements, ductility and dissipated energy capability of RC beams were studied. Then, the three-dimensional finite element models of RC beams, with the rate-dependent DP (Drucker-Prager) model of concrete and three rate-dependent model of steel reinforcement, were described and verified using the experimental results. Finally, the dynamic mechanical behaviours and deformation behaviours of the numerical results were compared with those of the experimental results.

Hygro-thermo-mechanical bending analysis of FGM plates using a new HSDT

  • Boukhelf, Fouad;Bouiadjra, Mohamed Bachir;Bouremana, Mohammed;Tounsi, Abdelouahed
    • Smart Structures and Systems
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    • 제21권1호
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    • pp.75-97
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    • 2018
  • In this paper, a novel higher-order shear deformation theory (HSDT) is proposed for the analysis of the hygro-thermo-mechanical behavior of functionally graded (FG) plates resting on elastic foundations. The developed model uses a novel kinematic by considering undetermined integral terms and only four variables are used in this model. The governing equations are deduced based on the principle of virtual work and the number of unknown functions involved is reduced to only four, which is less than the first shear deformation theory (FSDT) and others HSDTs. The Navier-type exact solutions for static analysis of simply supported FG plates subjected to hygro-thermo-mechanical loads are presented. The accuracy and efficiency of the present model is validated by comparing it with various available solutions in the literature. The influences of material properties, temperature, moisture, plate aspect ratio, side-to-thickness ratios and elastic coefficients parameters on deflections and stresses of FG plates are also investigated.