• Title/Summary/Keyword: Isotropic Order

검색결과 334건 처리시간 0.132초

Flexural and free vibration responses of thick isotropic bridge deck using a novel two variable refined plate theory

  • Djidar, Fatima Zohra;Hebali, Habib;Amara, Khaled;Tounsi, Abdelouahed;Bendaho, Boudjema;Ghazwani, M.H.;Hussain, Muzamal
    • Structural Engineering and Mechanics
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    • 제82권6호
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    • pp.725-734
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    • 2022
  • This work presents a simple exponential shear deformation theory for the flexural and free vibration responses of thick bridge deck. Contrary to the existing higher order shear deformation theories (HSDT) and the first shear deformation theory (FSDT), the proposed model uses a new displacement field which incorporates undetermined integral terms and involves only two variables. Governing equations and boundary conditions of the theory are derived by the principle of virtual work. The simply supported thick isotropic square and rectangular plates are considered for the detailed numerical studies. Results of displacements, stresses and frequencies are compared with those of other refined theories and exact theory to show the efficiency of the proposed theory. Good agreement is achieved of the present results with those of higher order shear deformation theory (HSDT) and elasticity theory. Moreover, results demonstrate that the developed two variable refined plate theory is simple for solving the flexural and free vibration responses of thick bridge deck and can achieve the same accuracy of the existing HSDTs which have more number of variables.

Stability analysis of transversely isotropic laminated Mindlin plates with piezoelectric layers using a Levy-type solution

  • Ghasemabadian, M.A.;Saidi, A.R.
    • Structural Engineering and Mechanics
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    • 제62권6호
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    • pp.675-693
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    • 2017
  • In this paper, based on the first-order shear deformation plate theory, buckling analysis of piezoelectric coupled transversely isotropic rectangular plates is investigated. By assuming the transverse distribution of electric potential to be a combination of a parabolic and a linear function of thickness coordinate, the equilibrium equations for buckling analysis of plate with surface bonded piezoelectric layers are established. The Maxwell's equation and all boundary conditions including the conditions on the top and bottom surfaces of the plate for closed and open circuited are satisfied. The analytical solution is obtained for Levy type of boundary conditions. The accurate buckling load of laminated plate is presented for both open and closed circuit conditions. From the numerical results it is found that, the critical buckling load for open circuit is more than that of closed circuit in all boundary and loading conditions. Furthermore, the critical buckling loads and the buckling mode number increase by increasing the thickness of piezoelectric layers for both open and closed circuit conditions.

파랑 및 조류력에 의한 탄섬유강 말뚝에 부착된 폐타이어의 구조거동 (Structural Behavior of Worn Tire Attached to Carbon Fiber Steel Pile by Wave and Current Forces)

  • 홍남식;이상화
    • 한국해양공학회지
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    • 제18권3호
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    • pp.13-19
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    • 2004
  • The structural behavior of a worn tire, attached to carbon fiber steel pile by current and wave forces, has been investigated through the numerical method. The finite element model has been developed, by considering that the composite material of rubber and cord is orthotropic, the rubber is isotropic, and that all the material behaves as linear elastic. The pressure distribution by wave and current, around the worn tire, has been estimated through the adjustment for the concept of flow separation. Also, the structural behavior of the worn tire has been examined, by comparing the situation wherein the space between the pile is reinforced, and tire as elastic and isotropic material, with the one left empty. Through this comparison, it is determined that the space between pile and tire has to be filled with elastic and isotropic material, in order to avoid the failure by wave and current action.

The Poisson effect on the curved beam analysis

  • Chiang, Yih-Cherng
    • Structural Engineering and Mechanics
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    • 제19권6호
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    • pp.707-720
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    • 2005
  • The bending stress formula that taking into account the transverse deformation is developed for plane-curved, untwisted isotropic beams subjected to loadings that result in deformations in the plane of curvature. In order to account the transverse Poisson contraction effect, a new constitutive relation between force resultants, moment resultants, mid-plane strains and deformed curvatures for a curved plate is derived in a $6{\times}6$ matrix form. This constitutive relation will provide the fundamental basis to the analyses of curved structures composing of isotropic or anisotropic materials. Then, the bending stress formula of a curved isotropic beam can be deduced from this newly developed curved plate theory. The stress predictions by the present analysis are compared to those by the analysis that neglected the Poisson contraction effect. The results show that the Poisson effect becomes more significant as the Poisson ratio and the curvature are getting larger.

열하중으로 좌굴된 단순 지지 준 등방성 적층판의 자유진동 해석 (Free Vibration Analysis of Thermally Buckled Quasi-Isotropic Laminated Plates with Simply Supported Edges)

  • 신동구
    • 전산구조공학
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    • 제7권4호
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    • pp.151-158
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    • 1994
  • 등분포 열 하중으로 좌굴되고 단순 지지된 준 등방성 직사각형 복합재 평판의 자유진동 해석에 관한 연구를 수행하였다. Von Karman형 비선형 변형도 성분을 1차 전단변형 평판이론에 적용하여 유한요소법으로 후 좌굴 해를 구하였으며 Duhamel-Newman형 탄성이론이 아울러 적용되었다. 후 좌굴 해석으로부터 계산된 변위를 이용하여 좌굴된 평판의 강성을 재평가한 후, 고유치 문제인 자유진동 해석을 수행하였다. 준 등방성 [.+-.45/0/90]s 직사각형 평판의 폭 대 두께비 및 폭 대 길이비를 변화시켜 이들 설계변수가 평판의 자유진동 특성에 미치는 영향을 분석하였다.

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소형 이극안테나를 이용한 전계강도 프로브의 설계 및 제작 (Design and Fabrication of an Electric-Field Probe Using Short Dipole Antennas)

  • 김혁제;박동철;이애경;심환우
    • 한국전자파학회지:전자파기술
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    • 제6권1호
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    • pp.3-9
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    • 1995
  • An isotropic electric-field probe, capable of characterizing and quantifying electromagnetic field, was fabricated. The probe consists of three short dipole antennas, a beam-lead Schottky diode and the high resistive transmission line. In order to get the isotropic response three mutually orthogonal dipoles are configured to form the probe. The probe's short dipole elements allow measurements of electric fields from 300MHz to 2GHz with a flatness of .+-. 2.9dB. The mutually orthogonal dipole configration shows a .+-. 1.2dB deviation in the isotropic response with respect to angle.

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Free vibration of symmetrically laminated quasi-isotropic super-elliptical thin plates

  • Altunsaray, Erkin
    • Steel and Composite Structures
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    • 제29권4호
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    • pp.493-508
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    • 2018
  • Free vibration analysis of super-elliptical composite thin plates was investigated. Plate is formed by symmetrical quasi-isotropic laminates. Rayleigh-Ritz method was used for parametric analysis based on the governing differential equations of Classical Laminated Plate Theory (CLPT). Simply supported and clamped boundary conditions at the periphery of plates were considered. Parametric study was performed for the effect of different lamination type, aspect ratio, thickness and super-elliptical power on natural frequencies. Convergence study and validation of isotropic case were achieved. A number of design parameters like different dimensions, structure systems, panel sizes, panel thicknesses, lamination sequences, boundary conditions and loading conditions must be considered in the production of composite ships. The number of possible combinations practically may be so high that a parametric study should be carried out in order to determine the optimum design parameters rapidly during the preliminary design stage. The use of Rayleigh-Ritz method could make this parametric study possible. Thereby it might be decreasing the consumption of time, material and labor. Certain results for some different super-elliptical powers presented in tabulated form in Appendix for designers as well.

Thermostable Adsorption Filter Immobilized with Super Activated Carbons by Quinoline Soluble Isotropic Pitch Binder (I-a Novel Adsorption Filter)

  • Park, Yeong-Tae;Im, Chul-Gyou;Kim, Yeong-Tae;Rhee, Bo-Sung
    • Carbon letters
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    • 제10권3호
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    • pp.198-201
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    • 2009
  • Among other filters such as light filter, wave filter, air filter, ultra filter and filter paper, a novel adsorption filter from thermostable polyester nonwoven fabrics immobilized with functional super activated carbon by means of quinoline soluble, activateable isotropic pitch binder were developed in this study. The activated carbon precursor is available in the market branded as coconut shell based activated carbon(CCS-AC) produced by Dongyang Carbon Co. Ltd. BET-surface area of this precursor was $1,355\;m^2/g$, after KOH-activation it increased over $2,970\;m^2/g$ and was named as super activated carbon. In the preliminary research, this precursor was impregnated with $PdCl_2$(0.188 wt%) $KMnO_4$(3 wt%) and redox-agent(CuCl2, 0.577 wt%) in order to promote TOF up to 100/h and Selectivity up 99% and patented as a functional AC for the ethylene adsorption. The enhancement of the isotropic pitch binder to the AC-immobilized adsorption filter was BET-surface area upgraded by $266\;m^2/g$ and promoted the Iodine- and MB-adsorption by 1.4 times, respectively and also micro pore wide ranges < $5{\AA}{\sim}30\;{\AA}$ >.

임계면법을 이용한 횡등방성 암석의 이방성 인장강도 해석 (An Investigation of Anisotropic Tensile Strength of Transversely Isotropic Rock by Critical Plane Approach)

  • 이연규
    • 터널과지하공간
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    • 제18권3호
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    • pp.194-201
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    • 2008
  • 횡등방성 암석의 인장강도 특성 해석을 위하여 새로운 이방성 인장파괴함수를 제안하였다. 제안된 함수에서 인장강도는 연약면과 수직한 방향에서 최소가 되며 연약면과 평행한 방향쪽으로 지수함수적으로 증가하면서 최대값에 수렴된다. 제안된 이방성 인장파괴함수는 실험적으로 측정이 가능한 3개의 강도정수로 정의된다. 제안된 함수를 임계면법에 적용하여 연약면의 방향성에 따른 횡등방성 암석의 인장강도 및 파괴면의 방향을 탐색할 수 있는 수치해석적 기법을 제시하였다. 문헌에 보고된 횡등방성 암석의 직접인장시험 결과를 모사함으로써 제안된 방법의 적합성을 검토하였다. 수치해석결과와 직접인장시험 결과는 전반적으로 유사한 결과를 보여주었다.

Elastic solutions due to a time-harmonic point load in isotropic multi-layered media

  • Lin, Gao;Zhang, Pengchong;Liu, Jun;Wang, Wenyuan
    • Structural Engineering and Mechanics
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    • 제57권2호
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    • pp.327-355
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    • 2016
  • A new analytical derivation of the elastodynamic point load solutions for an isotropic multi-layered half-space is presented by means of the precise integration method (PIM) and the approach of dual vector. The time-harmonic external load is prescribed either on the external boundary or in the interior of the solid medium. Starting with the axisymmetric governing motion equations in a cylindrical coordinate system, a second order ordinary differential matrix equation can be gained by making use of the Hankel integral transform. Employing the technique of dual vector, the second order ordinary differential matrix equation can be simplified into a first-order one. The approach of PIM is implemented to obtain the solutions of the ordinary differential matrix equation in the Hankel integral transform domain. The PIM is a highly accurate algorithm to solve sets of first-order ordinary differential equations and any desired accuracy of the dynamic point load solutions can be achieved. The numerical simulation is based on algebraic matrix operation. As a result, the computational effort is reduced to a great extent and the computation is unconditionally stable. Selected numerical trials are given to validate the accuracy and applicability of the proposed approach. More examples are discussed to portray the dependence of the load-displacement response on the isotropic parameters of the multi-layered media, the depth of external load and the frequency of excitation.