• 제목/요약/키워드: plate equation

검색결과 804건 처리시간 0.024초

펄트루젼 구조용 휨부재의 국부좌굴 거동 (Local Buckling Behavior of Pultruded Structural Flexural Members)

  • 정재호;윤순종
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2003년도 춘계학술발표대회 논문집
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    • pp.147-151
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    • 2003
  • In this study, we discussed the local buckling behavior of pultruded structural flexural members. Previous works were briefly reviewed and the local buckling behavior of orthotropic box-shape flexural members was discussed. The simplified form of equation for finding the width ratio of plate element of box-shape flexural members in which all plate components buckle simultaneously was proposed and the macro flow-chart for finding local buckling strength of pultruded flexural members was also suggested. To establish the design guide line for the local buckling of pultruded flexural members, further studies need to be performed as follows; the simplified form of solutions for finding the minimum buckling coefficient of orthotropic plate with various loading and boundary conditions including rotationally restrained boundary conditions, the simplified form of equation for calculating the coefficient of restraint provided by the adjacent plate elements.

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Numerical analysis of FGM plates with variable thickness subjected to thermal buckling

  • Bouguenina, Otbi;Belakhdar, Khalil;Tounsi, Abdelouahed;Adda Bedia, El Abbes
    • Steel and Composite Structures
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    • 제19권3호
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    • pp.679-695
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    • 2015
  • A numerical solution using finite difference method to evaluate the thermal buckling of simply supported FGM plate with variable thickness is presented in this research. First, the governing differential equation of thermal stability under uniform temperature through the plate thickness is derived. Then, the governing equation has been solved using finite difference method. After validating the presented numerical method with the analytical solution, the finite difference formulation has been extended in order to include variable thickness. The accuracy of the finite difference method for variable thickness plate has been also compared with the literature where a good agreement has been found. Furthermore, a parametric study has been conducted to analyze the effect of material and geometric parameters on the thermal buckling resistance of the FGM plates. It was found that the thickness variation affects isotropic plates a bit more than FGM plates.

개선된 일차전단변형이론을 이용한 지능구조평판의 거동해석 (The Analysis of Smart Plate Using Enhanced First Shear Deformation Theory)

  • 오진호;김흥수;이승윤;조맹효
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2007년도 정기 학술대회 논문집
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    • pp.663-668
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    • 2007
  • An enhanced first shear deformation theory for composite plate is developed. The detailed process is as follows. Firstly, the theory is formulated by modifying higher order zigzag theory. That is, the higher order theory is separated into the warping function representing the higher order terms and lower order terms. Secondly, the relationships between higher order zig-zag field and averaged first shear deformation field based on the Reissner-Mindlin's plate theory are derived. Lastly, the effective shear modulus is calculated by minimizing error between higher order energy and first order energy. Then the governing equation of FSDT is solved by substituting shear modulus into effective shear modulus. The recovery processing with the nodal unknown obtained from governing equation is performed. The accuracy of the present proposed theory is demonstrated through numerical examples. The proposed method will serve as a powerful tool in the prediction of laminated composite plate.

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간접경계적분법을 이용한 변압기 cover plate에서의 와전류 해석 (Eddy Current Analysis In Cover Plate of Power Transformers using Indirect Boundary Integral Equation Method)

  • 김상영;김동훈;한송엽
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1998년도 추계학술대회 논문집 학회본부A
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    • pp.88-90
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    • 1998
  • In this paper, the indirect BIEM(boundary integral equation method) is adopted to analyze 3-D eddy currents in cover plate of power transformer. In indirect BIEM, the equivalent magnetic surface charge density and the eqivalent magnanetic surface current density are the unknowns. Using triangular constant elements, the integral equations are discretized into boundary element equations of minimum order. Eddy currents are obtained in terms of euqivalent magnetic surface sources. And the locad overheating can be predicted using the eddy currents distribution in cover plate of power transformer.

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$45^{\circ}$/$-45^{\circ}$/$-45^{\circ}$/$90^{\circ}$/$45^{\circ}$/$45^{\circ}$/$-45^{\circ}$r 복합재료 적층판으로 구성된 사각단면 절판구조물의 구조해석 (Analysis of Folded Plate Structures Composed of [$45^{\circ}$/$-45^{\circ}$/$-45^{\circ}$/$90^{\circ}$/$45^{\circ}$/$45^{\circ}$/$-45^{\circ}$]r Type Laminated Composites Plates)

  • 김덕현;이정호;홍창우;이남주
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2000년도 춘계학술발표대회 논문집
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    • pp.93-96
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    • 2000
  • The theory of non-prismatic folded plate structures was reported by the senior author in 1965 and 1966. Fiber reinforced composite materials are strong in tension. The structural element for such tension force is very thin and weak against bending because of small bending stiffnesses. Naturally, the box type section is considered as the optimum structural configuration because of its high bending stiffnesses. Such structures can be effectively analyzed by the folded plate theory with relative ease. The "hollow" bending member with uniform cross-section can be treated as prismatic folded plates which is a special case of the non-prismatic folded plates. Tn this paper, the result of analysis of a folded plates with one box type uniform cross-section is presented. Each plate is made of composite laminates with fiber orientation of [ABBCAAB]$_r$, with A=-B=$45^{\circ}$, and C=$90^{\circ}$. The influence of the span to depth ratio is also studied. When this ratio is 5, the difference between the results of folded plate theory and beam theory is 1.66%. is 1.66%.

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마주보는 양단이 자유 경계조건을 갖는 Lévy 판의 조화 응답 해석 (Harmonic Response Estimation Method on the Lévy Plate with Two Opposite Edges Having Free Boundary Conditions)

  • 박남규;서정민;전경락
    • 한국소음진동공학회논문집
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    • 제23권11호
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    • pp.943-950
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    • 2013
  • This paper discusses a harmonic response estimation method on the L$\acute{e}$vy plate with two opposite edges simply supported and the other two edges having free boundary conditions. Since the equation of motion of the plate is not self-adjoint, the modes are not orthogonal to each other on the domain. Noting that the L$\acute{e}$vy plate can be expressed using one term sinusoidal function that is orthogonal to other sinusoidal functions, this paper suggested the calculation method that is equivalent to finding a least square error minimization solution of the finite number of algebraic equations. Example problems subjected to a distributed area loading and a distributed line loading are defined and their solutions are provided. The solutions are compared to those of the commercial code, ANSYS. According to the verification results, it is expected that the suggested method will be useful to predict the forced response on the L$\acute{e}$vy plate with the distributed area or line loading conditions.

Vibration of a rotary FG plate with consideration of thermal and Coriolis effects

  • Ghadiri, Majid;Shafiei, Navvab;Babaei, Ramin
    • Steel and Composite Structures
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    • 제25권2호
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    • pp.197-207
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    • 2017
  • In this paper, Coriolis effect on vibration behavior of a rotating rectangular plate made of functionally graded (FG) materials under thermal loading has been investigated. The material properties of the FG plate are supposed to get changed in parallel with the thickness of the plate and the thermal properties of the material are assumed to be thermo-elastic. In this research, the effect of hub size, rotating speed and setting angle are considered. Governing equation of motion and the associated boundary conditions are obtained by Hamilton's principle. Generalized differential quadrature method (GDQM) is used to solve the governing differential equation with respect to cantilever boundary condition. The results were successfully verified with the published literatures. These results can be useful for designing rotary systems such as turbine blades. In this work, Coriolis and thermal effects are considered for the first time and GDQM method has been used in solving the equations of motion of a rotating FGM plate.

On the eigenvalues of a uniform rectangular plate carrying any number of spring-damper-mass systems

  • Chen, Der-Wei
    • Structural Engineering and Mechanics
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    • 제16권3호
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    • pp.341-360
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    • 2003
  • The goal of this paper is to determine the eigenvalues of a uniform rectangular plate carrying any number of spring-damper-mass systems using an analytical-and-numerical-combined method (ANCM). To this end, a technique was presented to replace each "spring-damper-mass" system by a massless equivalent "spring-damper" system with the specified effective spring constant and effective damping coefficient. Then, the mode superposition approach was used to transform the partial differential equation of motion into the matrix equation, and the eigenvalues of the complete system were determined from the associated characteristic equation. To verify the reliability of the presented theory, all numerical results obtained from the ANCM were compared with those obtained from the conventional finite element method (FEM) and good agreement was achieved. Since the order of the property matrices for the equation of motion obtained from the ANCM is much lower than that obtained from the FEM, the CPU time required by the ANCM is much less than that by the FEM.

자기기록장치에서의 박막탄성체의 탄성유체윤활현상에 관한 수치해석 (Simulation of Elastohydrodynamic Phenomena of Thin Foil in Magnetic Recording Device)

  • 권해성;민옥기;김수경
    • 대한기계학회논문집
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    • 제18권6호
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    • pp.1355-1364
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    • 1994
  • This paper analyzes the running mechanism of flexible and thin foil above rotating protrusion through a numerical simulation. The scope of analysis is confined to the phenomena of elastohy-drodynamic lubrication between the stationary and rotary drums with a running protrusion and thin foil. This mathematical model is based on the modified Reynolds equation and the equation of plate, considering the geometry of protrusion, running direction of protrusion, and the effect of geometric nonlinearity. Finite element method is adopted as a numerical simulation technique to solve the avobe coupled nonlinear equations. In numerical analysis, the effects of the scanning angle in Reynolds equation and the nonlinear term in plate equation are evaluated. Furthermore, the simulation is applied to the situation that thin foil is located in the entire drums (stationary and rotary drums).

임의 형태의 개구에 의한 평행평판 도파관으로의 전자기적 결합 문제 해석을 위한 적분 방정식 방법 (Integral equation formulation for electromagnetic coupling through an arbitrarily shaped aperture into a parallel-plate waveguide)

  • 이영순;이창원;조영기;손현
    • 전자공학회논문지A
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    • 제32A권12호
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    • pp.25-35
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    • 1995
  • An analysis method of electromagnetic coupling through an arbitrarily shaped aperture on the upper wall of parallel-plate waveguide, when excited by an electromagnetic plane wave from outside, is considered. The mixed-potential integral equation, in which Green's functions are expressed in a computationally efficient closed form by using the Prony's method and the Sommerfeld identity, is formulated. Expanding the unknown equivalent magnetic surface current in terms of two-dimensional rooftop-type basis functions and choosing razor testing, the integral equation is reduced to a linear algebraic equation, which is solved. The results are compared with the previous results. Fairly good agreements between them are observed.

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