• 제목/요약/키워드: circular plates

검색결과 257건 처리시간 0.022초

An analytical solution of bending thin plates with different moduli in tension and compression

  • He, Xiao-Ting;Hu, Xing-Jian;Sun, Jun-Yi;Zheng, Zhou-Lian
    • Structural Engineering and Mechanics
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    • 제36권3호
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    • pp.363-380
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    • 2010
  • Materials which exhibit different elastic moduli in tension and compression are known as bimodular materials. The bimodular materials model, which is founded on the criterion of positive-negative signs of principal stress, is important for the structural analysis and design. However, due to the inherent complexity of the constitutive relation, it is difficult to obtain an analytical solution of a bimodular bending components except in particular simple problems. Based on the existent simplified model, this paper solves analytically bending thin plates with different moduli in tension and compression. By using the continuity conditions of stress components in unknown neutral layer, we determine the location of the neutral layer, and derive the governing differential equation for deflection, the flexural rigidity, and the internal forces in the thin plate. We also use a circular thin plate with bimodulus to illustrate the application of this solution derived in this paper. The results show that the introduction of different moduli has influences on the flexural stiffness of the bending thin plate.

다분할 해석법에 의한 장형코일의 곡가공 연구 (A Study of Bending Using Long Type Coil by Discrete Method)

  • 이영화;장창두
    • 대한조선학회논문집
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    • 제45권3호
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    • pp.303-308
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    • 2008
  • The induction heating is more efficient for a plate bending because of its easy operation and control of working parameters, compared with the heating by a gas torch. The existing axis symmetric analysis method could neither handle initial curved plates nor be used in the optimization of coil shapes because of its limit of an axis symmetric coil shape. But the proposed method using some discrete part models and analysis processes could overcome these difficulties and show more accurate results in temperatures and deflections of flat or curved plates with initial curvature than those in the existing axis symmetric analysis method. This method is composed of the multi-disciplinary analyses such as an electro magnetic analysis, a heat transfer analysis and a deformation analysis based on inherent strain approach per each step. Traditionally, the coil shape in the induction heating is circular shape and it needs the moving process along heating lines. To overcome this, the 'Long Type Coil' with some linear parallel coils was proposed. It did not need the moving process along heating lines and reduced the heating process time. The results of experiments were compared with those of the simulation.

A curved shell finite element for the geometrically non-linear analysis of box-girder beams curved in plan

  • Calik-Karakose, Ulku H.;Orakdogen, Engin;Saygun, Ahmet I.;Askes, Harm
    • Structural Engineering and Mechanics
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    • 제52권2호
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    • pp.221-238
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    • 2014
  • A four-noded curved shell finite element for the geometrically non-linear analysis of beams curved in plan is introduced. The structure is conceived as a sequence of macro-elements (ME) having the form of transversal segments of identical topology where each slice is formed using a number of the curved shell elements which have 7 degrees of freedom (DOF) per node. A curved box-girder beam example is modelled using various meshes and linear analysis results are compared to the solutions of a well-known computer program SAP2000. Linear and non-linear analyses of the beam under increasing uniformly distributed loads are also carried out. In addition to box-girder beams, the proposed element can also be used in modelling open-section beams with curved or straight axes and circular plates under radial compression. Buckling loads of a circular plate example are obtained for coarse and successively refined meshes and results are compared with each other. The advantage of this element is that curved systems can be realistically modelled and satisfactory results can be obtained even by using coarse meshes.

A study on thermo-mechanical behavior of MCD through bulge test analysis

  • Altabey, Wael A.
    • Advances in Computational Design
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    • 제2권2호
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    • pp.107-119
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    • 2017
  • The Micro circular diaphragm (MCD) is the mechanical actuator part used in the micro electro-mechanical sensors (MEMS) that combine electrical and mechanical components. These actuators are working under harsh mechanical and thermal conditions, so it is very important to study the mechanical and thermal behaviors of these actuators, in order to do with its function successfully. The objective of this paper is to determine the thermo-mechanical behavior of MCD by developing the traditional bulge test technique to achieve the aims of this work. The specimen is first pre-stressed to ensure that is no initial deflection before applied the loads on diaphragm and then clamped between two plates, a differential pressure (P) and temperature ($T_b$) is leading to a deformation of the MCD. Analytical formulation of developed bulge test technique for MCD thermo-mechanical characterization was established with taking in-to account effect of the residual strength from pre-stressed loading. These makes the plane-strain bulge test ideal for studying the mechanical and thermal behavior of diaphragm in both the elastic and plastic regimes. The differential specimen thickness due to bulge effect to describe the mechanical behavior, and the temperature effect on the MCD material properties to study the thermal behavior under deformation were discussed. A finite element model (FEM) can be extended to apply for investigating the reliability of the proposed bulge test of MCD and compare between the FEM results and another one from analytical calculus. The results show that, the good convergence between the finite element model and analytical model.

유한요소해석을 이용한 디스크 커플링의 토크전달 능력에 대한 연구 (A Study on the Torque Transmitting Capability of a Disk Coupling by Finite Element Analysis)

  • 서원상;김성묵;김종봉
    • 한국정밀공학회지
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    • 제30권11호
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    • pp.1171-1177
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    • 2013
  • In this study, the torque transmitting capability of a flexible disk coupling was investigated. Flexible disc coupling is used to transmit power between two axes, and there exist mis-alignments such as angle of deviation and end play between two shafts. A disk is an important part in the flexible disk coupling because the disk has to transmit power between two mis-aligned shafts. To investigate the effect of mis-alignment on load carrying capacity, finite element analyses were carried out. Analyses were carried out for two types of disk; i.e., circular and square disks. The rotational and bending stiffness of disk plates was predicted to investigate the effect of mis-alignment on stress. As a result, it was shown that the mis-alignment can cause severe decrease in load-carrying capacity. And, the square disk showed better performance than the circular disk.

수동형 레이더 리프렉터의 설계조건 결정을 위한 형상분석 (Shaping Analysis to decide the Design Condition of a Passive-type Radar Reflector)

  • 임정빈;김우숙
    • 한국항해항만학회지
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    • 제26권2호
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    • pp.199-207
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    • 2002
  • 컴퓨터 시뮬레이션을 통해서 레이더 타겟들에 대한 레이더 유효면적(RCS)을 측정하고, 그들의 성능특성을 분석하였다. 또한, 상용레이더 리프렉터의 구조적 특징을 검토하였다. 그리고, 수동형 레이더 리프렉터의 최적 설계조건을 선택했다. 연구결과, X-band($\lambda$=3.2cm에서 10λ 크기의 원형 평판으로 구성된 옥타헤데랄 형태의 레이더 리프렉터가 최적 성능을 나타냈다. 그러나, 새로 적용될 2000 SOLAS 규정을 수용하기 위해서는 X-band 와 S-band 모두에 적용하기 위해서 더 큰 크기의 원형평판이 필요하다.

스펙트럴법을 이용한 원형주상체주위 층난류 유동해석 (Application of Spectral Method to Laminar and Turbulent Flow Analysis around a Circular Cylinder)

  • 신영섭
    • 대한조선학회논문집
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    • 제37권4호
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    • pp.31-39
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    • 2000
  • 본 연구에서는 원형주상체주위 층난류유동에 대한 수치해석을 수행하였다. 레이놀즈수 $10^4$에서 $10^6$까지 수치해석하였는데, 레이놀즈수 $4{\times}10^5$ 부근은 항력값의 급격한 변화가 발생하는 영역이다. 수치해석결과를 실험값과 비교하였는데, 비교적 일치함을 알 수 있었다. 물체법선방향으로 격자의 최소화와 물체표면방향으로의 격자수를 증가시키면, 난류모델링을 사용하지 않아도 좋은 결과를 얻을 수 있었다. 앞으로 압력구배가 없는 2차원 평판 및 3차원 물체에 적용시에도 같은 결과를 얻을 수 있는가에 대한 연구가 지속되어야 할 것으로 생각된다.

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Free vibration of an annular sandwich plate with CNTRC facesheets and FG porous cores using Ritz method

  • Emdadi, Mohsen;Mohammadimehr, Mehdi;Navi, Borhan Rousta
    • Advances in nano research
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    • 제7권2호
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    • pp.109-123
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    • 2019
  • In this article, the free vibration analysis of annular sandwich plates with various functionally graded (FG) porous cores and carbon nanotubes reinforced composite (CNTRC) facesheets is investigated based on modified couple stress theory (MCST) and first order shear deformation theories (FSDT). The annular sandwich plate is composed of two face layers and a functionally graded porous core layer which contains different porosity distributions. Various approaches such as extended mixture rule (EMR), Eshelby-Mori-Tanaka (E-M-T), and Halpin-Tsai (H-T) are used to determine the effective material properties of microcomposite circular sandwich plate. The governing equations of motion are extracted by using Hamilton's principle and FSDT. A Ritz method has been utilized to calculate the natural frequency of an annular sandwich plate. The effects of material length scale parameters, boundary conditions, aspect and inner-outer radius ratios, FG porous distributions, pore compressibility and volume fractions of CNTs are considered. The results are obtained by Ritz solutions that can be served as benchmark data to validate their numerical and analytical methods in the future work and also in solid-state physics, materials science, and micro-electro-mechanical devices.

Head 플레이트 상세에 따른 Headed Bars의 인발거동에 관한 연구 (Pull-out Behaviors of Headed Bars with Different Details of Head Plates)

  • 박현규;윤영수;류영섭;이만섭
    • 한국방재학회 논문집
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    • 제2권2호
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    • pp.95-104
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    • 2002
  • 이 논문은 콘크리트 콘 파괴에 의해 지배될 때의 인장력의 예측과 Headed bar의 인발 파괴 양상을 보여준다. 1개의 다른 플레이트 형상과 세가지의 서로 다른 용접 방법에 따라 시험이 이루어졌다. 시험의 변수는 Headed plate에 연결된 철근의 직경(16mm, 19mm, 22mm), 형상(원형, 직사각형, 정사각형)과 head plate의 차원(면적, 두께), 철근과 head plate와의 연결을 위한 용접 방법(일반용접, 마찰용접)이다. Headed bar는 ASTM 970-98에 기초한 모양과 두께를 가진 다른 단면적으로 제조되었으며 콘크리트의 부착 길이는 CSA 23.3-94에 의거하여 산정되었다. 정적 인장하중이 적용되었으며 시험 인발 성능은 ACI-349와 CCD 방법과 같은 현재의 설계방법에 의해 산출된 값과 비교하였다. 실험결과와 기존식을 비교하면 Headed bar가 앵커와 달리 넓은 플레이트 면적과 이형철근으로 인해 기준식에 비해 높은 강도와 큰 파괴 반경을 나타내었다.

Influence of porosity distribution on vibration analysis of GPLs-reinforcement sectorial plate

  • Jia, Anqiang;Liu, Haiyan;Ren, Lijian;Yun, Yingxia;Tahouneh, Vahid
    • Steel and Composite Structures
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    • 제35권1호
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    • pp.111-127
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    • 2020
  • The goal of this study is to fill this apparent gap in the area about investigating the effect of porosity distributions on vibrational behavior of FG sectorial plates resting on a two-parameter elastic foundation. The response of the elastic medium is formulated by the Winkler/Pasternak model. The internal pores and graphene platelets (GPLs) are distributed in the matrix either uniformly or non-uniformly according to three different patterns. The model is proposed with material parameters varying in the thickness of plate to achieve graded distributions in both porosity and nanofillers. The elastic modulus of the nanocomposite is obtained by using Halpin-Tsai micromechanics model. The annular sector plate is assumed to be simply supported in the radial edges while any arbitrary boundary conditions are applied to the other two circular edges including simply supported, clamped and free. The 2-D differential quadrature method as an efficient and accurate numerical approach is used to discretize the governing equations and to implement the boundary conditions. The convergence of the method is demonstrated and to validate the results, comparisons are made between the present results and those reported by well-known references for special cases treated before, have confirmed accuracy and efficiency of the present approach. It is observed that the maximum vibration frequency obtained in the case of symmetric porosity and GPL distribution, while the minimum vibration frequency is obtained using uniform porosity distribution. Results show that for better understanding of mechanical behavior of nanocomposite plates, it is crucial to consider porosities inside the material structure.