• Title/Summary/Keyword: finite element solutions

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Numerical Heat Transfer Analysis applying Coupled Electromagnetic Characteristics and Convection Boundary Condition (전자계 결합특성 및 대류 경계조건을 적용한 수치 해석적 열전달 해석)

  • Kim, Chang-Ki;Kim, Shang-Hoon;Jung, Sang-Yong
    • Journal of IKEEE
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    • v.13 no.3
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    • pp.55-61
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    • 2009
  • The heat transfer analysis applying finite element method has been carried out. Particularly, the convection boundary condition associated with the mixed boundary condition is numerically formulated by the Galerkin method analogous to the magnetic field problem. Also, the coupled electromagnet-thermal field analysis by the proposed heat transfer coefficient computation algorithm is executed to enhance the accuracy of solutions. Finally, the validity of the proposed results is verified by comparison with the measured ones.

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An Improved Analysis Model for the Ultimate Behavior of Unbonded Prestressed Concrete

  • Cho, Taejun;Kim, Myeong-Han
    • Journal of Korean Association for Spatial Structures
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    • v.17 no.4
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    • pp.149-157
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    • 2017
  • An innovative analysis method is proposed in this paper for the determination of ultimate resistance of prestressed concrete beams. The proposed method can be applied to simply supported or continuous beams in a unified manner whether structure and external loads are symmetric or not. Through the iterative nonlinear strain compatibility solutions, this method can also be applied to the non-prismatic section/un-symmetrical composite structures under moving load. The conventional studies have used the failure criteria when the strain of concrete reaches 0.003. However compared with bonded case, the value of strain in the reinforcement is much smaller than bonded case, thus, unbonded prestressed cases show compressive failure mode. It is shown that the proposed method gives acceptable results within 5% error compared with the prior experimental results. It can be shown that the proposed method can reach the solution much faster than typical three-dimensional finite element analysis for the same problem. This method is applicable to the existing unbonded prestressed members where deterioration has occurred leading to the reduced ultimate resistance or safety. In all, the proposed procedure can be applied to the design and analysis of newly constructed structures, as well as the risk assessment of rehabilitated structures.

Fully Plastic Analyses of Unequally Notched Specimens in Bending Moment (굽힘 하중이 작용하는 비대칭노치시편의 완전소성해석)

  • Oh Chang-Kyun;Park Jin-Moo;Kim Yun-Jae
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.30 no.3 s.246
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    • pp.269-278
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    • 2006
  • This paper proposes slip line fields for bending of unequally notched specimens in plane strain that have a sharp crack in one side and a sharp V-notch in the other side. Depending on the back angle, two slip line fields are proposed, from which the limit moment and crack tip stress fields are obtained as a function of the back angle. Excellent agreement between slip line field solutions with those from detailed finite element limit analysis based on non-hardening plasticity provides confidence in the proposed slip line fields. One interesting point is that, for the unequally notched specimen, the difference between the crack tip triaxial stress for tension and that for bending increases significantly with increasing the back angle. This suggests that such a specimen could be potentially useful to investigate the crack tip constraint effect on fracture toughness of materials. In this respect, the possibility of designing a new toughness testing specimen with varying crack tip constraint is discussed.

Comparison of Semi-Implicit Integration Schemes for Rate-Dependent Plasticity (점소성 구성식의 적분에 미치는 선형화 방법의 영향)

  • Yoon, Sam-Son;Lee, Soon-Bok
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.11
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    • pp.1907-1916
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    • 2003
  • During decades, there has been much progress in understanding of the inelastic behavior of the materials and numerous inelastic constitutive equations have been developed. The complexity of these constitutive equations generally requires a stable and accurate numerical method. To obtain the increment of state variable, its evolution laws are linearized by several approximation methods, such as general midpoint rule(GMR) or general trapezoidal rule(GTR). In this investigation, semi-implicit integration schemes using GTR and GMR were developed and implemented into ABAQUS by means of UMAT subroutine. The comparison of integration schemes was conducted on the simple tension case, and simple shear case and nonproportional loading case. The fully implicit integration(FI) was the most stable but amplified the truncation error when the nonlinearity of state variable is strong. The semi-implicit integration using GTR gave the most accurate results at tension and shear problem. The numerical solutions with refined time increment were always placed between results of GTR and those of FI. GTR integration with adjusting midpoint parameter can be recommended as the best integration method for viscoplastic equation considering nonlinear kinematic hardening.

Laminar Convective Heat Transfer of a Bingham Plastic in a Circular Pipe(II) Numerical approach-hydrodynamically develrping flow and simultaneously developing flow (원관내 Bingham Plastic의 층류 대류 열전달(2) 수치해석적 연구-속도분포 발달유동과 속도 및 온도분포 동시 발달유동)

  • Min, Tae-Gi;Choe, Hyeong-Gwon;Choe, Hae-Cheon;Yu, Jeong-Yeol
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.20 no.12
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    • pp.4003-4012
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    • 1996
  • Hydro dynamically developing and simultaneously (hydro dynamically and thermally) developing laminar flows of a Bingham plastic in a circular pipe have been investigated numerically. Solutions have been obtained by using a four-step fractional method combined with an equal order bilinear finite element method. For the hydro dynamically developing flow, shorter entrance length is required to reach fully developed velocity field for larger yield stress and non-monotonic pressure drop along the pipe centerline is observed when the yield stress exceeds a certain critical value. For the simultaneously developing flow, the heat transfer characteristics show the same trends as those predicted for the thermally developing flow (Graetz problem).

Effect of Bend Angle on Plastic Loads of Pipe Bends Under Internal Pressure and In-Plane Bending (내압과 굽힘하중을 받는 곡관의 소성 하중에 굽힘 각도가 미치는 영향)

  • Lee, Kuk-Hee;Oh, Chang-Sik;Yoo, Bong;Park, Chi-Yong;Kim, Yun-Jae
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.31 no.3 s.258
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    • pp.322-330
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    • 2007
  • This paper quantifies the effect of a bend angle of a pipe bend on plastic loads, via small strain and large strain FE limit analyses using elastic-perfectly plastic materials. To consider the effect of the attached straight pipe, two limiting cases are considered. One case corresponds to the pipe bend without the attached straight pipe, and the other to that with a sufficiently long attached straight pipe. For the former case, the FE results suggest that the limit load is not affected by the bend angle for both in-plane bending and internal pressure. For the latter case, however, the bend angle affects plastic loads. An interesting finding is that the plastic load smoothly changes from the limit load of the straight pipe when the bend angle approaches zero to the plastic load of the $90^{\circ}$ pipe bend when the bend angle approaches 90 degree. Based on such observations, closed-form plastic load solutions are proposed for the pipe bend with an arbitrary bend angle under in-plane bending and internal pressure.

Numerical buckling temperature prediction of graded sandwich panel using higher order shear deformation theory under variable temperature loading

  • Sahoo, Brundaban;Sahoo, Bamadev;Sharma, Nitin;Mehar, Kulmani;Panda, Subrata Kumar
    • Smart Structures and Systems
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    • v.26 no.5
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    • pp.641-656
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    • 2020
  • The finite element solutions of thermal buckling load values of the graded sandwich curved shell structure are reported in this research using a higher-order kinematic model including the shear deformation effect. The numerical buckling temperature has been computed using an in-house specialized code (MATLAB environment) prepared in the framework of the current mathematical formulation. In addition, the mathematical model includes the excess structural distortion under the influence of elevated environment via Green-Lagrange nonlinear strain. The corresponding eigenvalue equation has been solved to predict the critical buckling temperature of the graded sandwich structure. The numerical stability and the accuracy of the current solution have been confirmed by comparing with the available published results. Thereafter, the model is extended to bring out the influences of structural parameters i.e. the curvature ratio, core-face thickness ratio, support conditions, power-law indices and sandwich types on the thermal buckling behavior of graded sandwich curved shell panels.

Tolerance Optimization of Design Variables in Lower Arm by Using Response Surface Model and Process Capability Index (반응표면모델과 공정능력지수를 적용한 로워암 설계변수의 공차최적화)

  • Lee, Kwang Ki;Ro, Yun Cheol;Han, Seung Ho
    • Korean Journal of Computational Design and Engineering
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    • v.18 no.5
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    • pp.359-366
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    • 2013
  • In the lower arm design process, a tolerance optimization of the variance of design variables should be preceded before manufacturing process, since it is very cost-effective compared to a strict management of tolerance of products. In this study, a design of experiment (DOE) based on response surface model (RSM) was carried out to find optimized design variables of the lower arm, which can meet a given requirement of probability constraint for the process capability index (Cpk) of the weight and maximum stress. Then, the design space was explored by using the central composite design method, in which the 2nd order Taylor expansion was applied to predict a standard deviation of the responses. The optimal solutions satisfying the probability constraint of the Cpk were found by considering both of the mean value and the standard deviation of the design variables.

Vibration Analysis of Trapezoidal Corrugated Plates with Stiffeners and Lumped Masses (집중질량을 고려한 보강된 사다리꼴 주름판의 진동해석)

  • Jung, Kang;Kim, Young-Wann
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.24 no.5
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    • pp.414-420
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    • 2014
  • In this paper, the vibration characteristics of the trapezoidal corrugated plate with axial stiffeners and lumped masses are investigated by the analytical method. The corrugated plate can be treated as an equivalent orthotropic plate as this plate has different flexure properties in two perpendicular directions; flexible in the corrugation direction and stiff in the transverse direction. The effective extensional and flexural stiffness of the equivalent plate are considered to obtain the precise solution in the analysis. The plate is stiffened by concentric stiffeners horizontally to the corrugation direction. The discrete stiffener theory is adopted to consider the position of stiffener. To demonstrate the validity of the proposed approach, the comparison is made with the results of 3D ANSYS finite element solutions. Some numerical results are presented to check the effect of the geometric properties.

Development of Program for Predicting GBD to Improve Canning Process Capability for Catalytic Converter (촉매변환기의 캐닝 공정능력 향상을 위한 GBD 예측 프로그램의 개발)

  • Lee, Young Dae;Chu, Seok Jae
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.37 no.3
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    • pp.419-427
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    • 2013
  • The catalytic converters for automobile exhaust systems are manufactured by inserting a mat-wrapped substrate into a stainless steel can. A residual pressure that is too high will initiate a fracture in the substrate. In contrast, a residual pressure that is too low will fail to hold the substrate in the acceleration or deceleration phase. Both the process capability and mat pressure on the substrate are predicted while considering the effect of the statistical variation in the dimensions of the parts. The validity of the solutions is then confirmed. A program using EXCEL combines a finite element analysis and process capability analysis in one program.