• 제목/요약/키워드: plate equation

검색결과 808건 처리시간 0.023초

중력방향과 대향류인 저속 원형노즐제트 충돌에 의한 일정 두께 하향 등온원형평판에서의 열전달 현상 (The Study of Heat Transfer on a Isothermal Circular Surface by an Impinging, Circular Water Jets with the Low Velocity Against the Direction of Gravity)

  • 엄용균
    • 한국수소및신에너지학회논문집
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    • 제25권4호
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    • pp.449-458
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    • 2014
  • The heat transfer phenomenon was investigated in this study when a single round water jet with the low velocity and against the direction of gravity flows to the downward facing Isothermal of definite thickness circular plate. Experimental investigation is performed for a single round jet diameter 4mm, 6mm, and 8mm with the jet velocity 2.4m/s and jet fluid temperature of $24^{\circ}C$, varied the ratio of nozzle clearance/nozzle diameter (H/D)1, 2, 3, 6, and 8, on circular plate isothermal condition with $85^{\circ}C$. The local convection heat transfer coefficient distributions are analyzed based on the visualization of jet flow field. The effects of the diameter of Nozzle, the ratio of H/D and the ratio of nozzle diameter/circular plate diameter on heat transfer phenomenon are investigated. As a results of experiment is obtained correlation equation, $Nu_r=3.18Re_r^{0.55}Pr_r^{0.4}$.

A parametric study on the free vibration of a functionally graded material circular plate with non-uniform thickness resting on a variable Pasternak foundation by differential quadrature method

  • Abdelbaki, Bassem M.;Ahmed, Mohamed E. Sayed;Al Kaisy, Ahmed M.
    • Coupled systems mechanics
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    • 제11권4호
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    • pp.357-371
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    • 2022
  • This paper presents a parametric study on the free vibration analysis of a functionally graded material (FGM) circular plate with non-uniform thickness resting on a variable Pasternak elastic foundation. The mechanical properties of the material vary in the transverse direction through the thickness of the plate according to the power-law distribution to represent the constituent components. The equation of motion of the circular plate has been carried out based on the classical plate theory (CPT), and the differential quadrature method (DQM) is employed to solve the governing equations as a semi-analytical method. The grid points are chosen based on Chebyshev-Gauss-Lobatto distribution to achieve acceptable convergence and better accuracy. The influence of geometric parameters, variable elastic foundation, and functionally graded variation for clamped and simply supported boundary conditions on the first three natural frequencies are investigated. Comparisons of results with similar studies in the literature have been presented and two-dimensional mode shapes for particular plates have been plotted to illustrate the effect of variable thickness profile.

Creep analysis of plates made of functionally graded Al-SiC material subjected to thermomechanical loading

  • Majid Amiri;Abbas Loghman;Mohammad Arefi
    • Advances in concrete construction
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    • 제15권2호
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    • pp.115-126
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    • 2023
  • This paper investigates creep analysis of a plate made of Al-SiC functionally graded material using Mendelson's method of successive elastic solution. All mechanical and thermal material properties, except Poisson's ratio, are assumed to be variable along the thickness direction based on the volume fraction of reinforcement and thickness. First, the basic relations of the plate are derived using the Love-Kirchhoff plate theory. The solution of governing equations yields an elastic solution to start creep analysis. The creep behavior is demonstrated through Norton's equation based on Pandey's experimental results extracted for Al-SiC functionally graded material. A linear variation is assumed for temperature distribution along the thickness direction. The creep strain, as well as the thermal strain, are included in the governing equations derived from classical plate theory for mechanical strain. A successive elastic solution based on Mendelson's method is employed to derive the history of stresses, strains, and displacements over a long time. History of stresses and deformations are obtained over a long time to predict damage to the plate because of various loadings, and material composition along the thickness and planar directions.

Experimental investigations on resilient beam-column end-plate connection with structural fuse

  • Arunkumar Chandrasekaran;Umamaheswari Nambiappan
    • Steel and Composite Structures
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    • 제47권3호
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    • pp.315-337
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    • 2023
  • The steel structure is an assembly of individual structural members joined together by connections. The connections are the focal point to transfer the forces which is susceptible to damage easily. It is challenging to replace the affected connection parts after an earthquake. Hence, steel plates are utilised as a structural fuse that absorbs connection forces and fails first. The objective of the present research is to develop a beam-column end plate connection with single and dual fuse and study the effect of single fuse, dual fuse and combined action of fuse and damper. In this research, seismic resilient beam-column end plate connection is developed in the form of structural fuse. The novel connection consists of one main fuse was placed horizontally and secondary fuse was placed vertically over main fuse. The specimens are fabricated with the variation in number of fuse (single and dual) and position of fuse (beam flange top and bottom). From the fabricated ten specimens five specimens were loaded monotonically and five cyclically. The experimental results are compared with Finite Element Analysis results of Arunkumar and Umamaheswari (2022). The results are critically assessed in the aspect of moment-rotation behaviour, strain in connection components, connection stiffness, energy dissipation characteristics and ductility. While comparing the performance of total five specimens, the connection with fuse exhibited superior performance than the conventional connection. An equation is proposed for the moment of resistance of end-plate connection without and with structural fuse.

Free vibration and buckling analyses of curved plate frames using finite element method

  • Oguzhan Das;Hasan Ozturk;Can Gonenli
    • Structural Engineering and Mechanics
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    • 제86권6호
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    • pp.765-778
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    • 2023
  • This study investigates the free vibration and buckling analyses of isotropic curved plate structures fixed at all ends. The Kirchhoff-Love Plate Theory (KLPT) and Finite Element Method (FEM) are employed to model the curved structure. In order to perform the finite element analysis, a four-node quadrilateral element with 5 degrees of freedom (DOF) at each node is utilized. Additionally, the drilling effect (θz) is considered as minimal to satisfy the DOF of the structure. Lagrange's equation of motion is used in order to obtain the first ten natural frequencies and the critical buckling values of the structure. The effects of various radii of curvatures and aspect ratio on the natural frequency and critical buckling load values for the single-bay and two-bay curved frames are investigated within this scope. A computer code based on finite element analysis is developed to perform free vibration and buckling analysis of curved plate frames. The natural frequency and critical buckling load values of the present study are compared with ANSYS R18.2 results. It has been concluded that the results of the present study are in good agreement with ANSYS results for different radii of curvatures and aspect ratio values of both single-bay and two-bay structures.

Static and stress analyses of bi-directional FG porous plate using unified higher order kinematics theories

  • Mohamed, Salwa;Assie, Amr E.;Mohamed, Nazira;Eltaher, Mohamed A.
    • Steel and Composite Structures
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    • 제45권3호
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    • pp.305-330
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    • 2022
  • This article aims to investigate the static deflection and stress analysis of bi-directional functionally graded porous plate (BDFGPP) modeled by unified higher order kinematic theories to include the shear stress effects, which not be considered before. Different shear functions are described according to higher order models that satisfy the zero-shear influence at the top and bottom surfaces, and hence refrain from the need of shear correction factor. The material properties are graded through two spatial directions (i.e., thickness and length directions) according to the power law distribution. The porosities and voids inside the material constituent are described by different cosine functions. Hamilton's principle is implemented to derive the governing equilibrium equation of bi-directional FG porous plate structures. An efficient numerical differential integral quadrature method (DIQM) is exploited to solve the coupled variable coefficients partial differential equations of equilibrium. Problem validation and verification have been proven with previous prestigious work. Numerical results are illustrated to present the significant impacts of kinematic shear relations, gradation indices through thickness and length, porosity type, and boundary conditions on the static deflection and stress distribution of BDFGP plate. The proposed model is efficient in design and analysis of many applications used in nuclear, mechanical, aerospace, naval, dental, and medical fields.

Nonlocal Mindlin plate theory with the application for vibration and bending analysis of nanoplates with the flexoelectricity effect

  • Pham Ba Khien;Du Dinh Nguyen;Abdelouahed Tounsi;Bui Van Tuyen
    • Advances in nano research
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    • 제16권1호
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    • pp.27-40
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    • 2024
  • This work is the first of its kind to integrate Mindlin's theory with analytical methods in order to produce an exact solution to a specific vibration issue as well as a bending problem involving a nanoplate that is supported by a viscoelastic foundation. The plate is exposed to the simultaneous effects of a compressive load in the plate plane and a force operating perpendicular to the plane of the nanoplate. In addition, the flexoelecity effect is included into the plate. The strain gradient component is taken into consideration while calculating the plate equilibrium equation using the nonlocal theory and Hamilton's principle. The free vibration and static responses of the nanoplate seem to be both real and imaginary components because of the appearance of the viscoelastic drag coefficient of the viscoelastic foundation. This study also shows that when analyzing the mechanical response for nanostructure, taking into account the flexoelectricity effect and the influence of the nonlocal parameter, the results will be completely different from the case in which this parameter is ignored. This indicates that it is vital to take into consideration the effects of nonlocal parameters on the nanosheet structure while also taking into consideration the effect of flexoelectricity.

지하 LPG 저장공동에 인접한 단일절리에서의 이상유체거동해석: I. 수치모형의 개발 및 모형실험 (Simulation of Two-Phase Fluid Flow in a Single Fracture Surrounding an Underground LPG Storage Cavern: I. Numerical Model Development and Parallel Plate Test)

  • 한일영;서일원
    • 한국수자원학회논문집
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    • 제34권5호
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    • pp.439-448
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    • 2001
  • 본 연구에서는 단일절리에서 2상유체 동시거동을 해석하기 위해서 2차원 유한차분 수치모형을 개발하였다. 개발된 모형은 압력에 따른 점성의 변화가 포화도에 따른 상대투과계수의 변화를 절리간극의 크기별로 고려할 수 있다. 수치기법으로는 IMPES해법을 적용하여 물과 가스의 압력변화량과 포화도를 차례로 구하였다. 개발된 수치 모형에 이용할 상대투과계수의 특성식 도출을 위해서 일곱가지 경우의 평판모형실험을 실시하였다. 실험으로부터 도출된 상대투과계수 특성곡선은 기존의 경험식으로는 표현되기 어려웠으며, 따라서 새로운 경험식으로 로지스틱 방정식을 제시하였다. 이 방정식은 간극의 크기가 포함된 매개변수를 사용하였기 때문에 임의의 절리 간극크기의 적용이 가능한 형태이다.

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토목섬유 봉합효율과 연약지반 허용지지력 현장검증 (Seam Efficiency of Geotextile and Verification of Allowable Bearing Capacity of Soft Ground)

  • 조대성;채유미;김재홍
    • 한국지반공학회논문집
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    • 제37권7호
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    • pp.25-34
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    • 2021
  • 연약지반으로 이루어진 준설매립부지는 지반이 매우 연약한 상태이기 때문에 설계시 정확한 지지력을 계산하는 것은 어렵고 복잡한 요인들이 고려되어야 한다. 최근까지 준설매립지를 대상으로 다양한 연약지반처리공법을 설계하고 있지만, 초기 장비진입을 위해서 기존 Meyerhof(1974) 복합토층 지지력 계산으로 안전율을 예측하고 있다. 기존 방정식들은 시공성 안전을 확보한다는 차원에서 연약지반 지지력을 과소평가하여 경제적 비용이 증가될 수 있다. 따라서 본 연구에서는 현장여건이 고려된 지지력 식을 제안하였다. 이를 위하여 이론적인 방정식에서 고려되지 못하는 토목섬유의 봉합사 역할과 봉합인장강도가 지지력에 끼치는 영향을 실험으로 제시하여 적절한 연약지반 지지력을 평가할 수 있도록 제시하였다. 그리고, 현장시험으로 수정방정식 지지력의 안정성이 평판재하시험으로 실측한 값과 비교하여 적절성을 확인하였다. 향후 준설토 매립지반의 설계와 시공시 본 연구 결과가 기초자료로 활용될 것으로 판단된다.

콘크리트에 표면매입 보강된 FRP판의 매입간격과 길이에 따른 부착강도 (Bond Strength of Near Surface-Mounted FRP Plate in Concrete Corresponding to Space and Bond Length)

  • 서수연;김민식
    • 콘크리트학회논문집
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    • 제25권1호
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    • pp.37-43
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    • 2013
  • 최근 FRP 판을 이용한 표면매입 보강공법에서 FRP와 콘크리트 사이의 계면파괴를 연구하기 위한 실험 및 이론적인 연구가 국내외에서 수행되고 있다. 그 결과 보강재의 형상과 콘크리트 강도 그리고 부착길이 등에 대한 일련의 연구가 수행되었지만, 보강재의 부착길이에 따른 각 보강재의 적정 간격, 그리고 무리효과 등과 같은 영향인자들에 대한 연구 필요성이 제기되고 있다. 이에 따라 이 연구에서는 부착길이와 보강재인 FRP 판의 보강간격을 변수로 부착실험을 실시하고 그에 따른 부착성능의 변화를 연구하고자 한다. 또한 표면매입 보강된 FRP 판의 계면파괴시 강도를 산정하기 위한 기존 제안식과의 비교를 통하여 그 적용성을 평가하고자 한다. 연구 결과, 매입된 FRP의 간격이 넓어질수록 FRP판의 인장파단과 함께 내력이 증가하는 양상을 보이는 반면에 FRP판의 간격이 좁을수록 콘크리트 할렬파괴가 지배하는 것으로 나타났다. 기존 제안식을 이용하여 실험 결과를 비교한 결과, FRP의 부착길이와 무리효과를 고려한 기존 제안식을 사용하여 표면매입 보강된 FRP의 부착강도를 적절히 예측할 수 있는 것으로 나타났다.