• Title/Summary/Keyword: Finite element limit analysis

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A new hybrid method for reliability-based optimal structural design with discrete and continuous variables

  • Ali, Khodam;Mohammad Saeid, Farajzadeh;Mohsenali, Shayanfar
    • Structural Engineering and Mechanics
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    • v.85 no.3
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    • pp.369-379
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    • 2023
  • Reliability-Based Design Optimization (RBDO) is an appropriate framework for obtaining optimal designs by taking uncertainties into account. Large-scale problems with implicit limit state functions and problems with discrete design variables are two significant challenges to traditional RBDO methods. To overcome these challenges, this paper proposes a hybrid method to perform RBDO of structures that links Firefly Algorithm (FA) as an optimization tool to advanced (finite element) reliability methods. Furthermore, the Genetic Algorithm (GA) and the FA are compared based on the design cost (objective function) they achieve. In the proposed method, Weighted Simulation Method (WSM) is utilized to assess reliability constraints in the RBDO problems with explicit limit state functions. WSM is selected to reduce computational costs. To performing RBDO of structures with finite element modeling and implicit limit state functions, a First-Order Reliability Method (FORM) based on the Direct Differentiation Method (DDM) is utilized. Four numerical examples are considered to assess the effectiveness of the proposed method. The findings illustrate that the proposed RBDO method is applicable and efficient for RBDO problems with discrete and continuous design variables and finite element modeling.

Stability Analysis of Anchored Slope Considering Load Transfer (하중전이를 고려한 앵커보강사면의 안정해석)

  • Kim, Nak-Kyung;Yun, Seung-Kwon;Kim, Sung-Kyu;Joo, Yong-Sun;Park, Jong-Sik
    • Proceedings of the Korean Geotechical Society Conference
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    • 2009.03a
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    • pp.1113-1124
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    • 2009
  • The limit equilibrium method and finite element method have been commonly used to assess the stability of anchored slope. However, the existing limit equilibrium methods do not consider the load transfer of anchor and, if the potential failure surface crosses the bonded zone of anchors, the anchor loads are not included in computing the factor of safety. In this paper, simplified bishop method, one among several methods based on the limit equilibrium is used to develope the Excel Sheet program and the working load of anchor along the failure surface is calculated by Flamant's formula, proposed by Morlier and Tenier(1982). Additionally, the finite element analysis of anchored slope considering the load transfer is performed in order to compare with the result from the limit equilibrium analysis and analyze the reinforced effect of anchor. From this study, new modelling method that limits the reinforcing range and considers the load transfer is proposed and Excel Sheet program is developed. The factor of safety for several cases between PC STABL and Excel Sheet program is also compared for verification of the program.

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Limit Load and Approximate J-Integral Estimates for Axial-Through Wall Cracked Pipe Bend (축방향 관통균열이 존재하는 곡관의 한계 하중 및 공학적 J-적분 예측)

  • Song, Tae-Kwang;Kim, Jong-Sung;Jin, Tae-Eun;Kim, Yun-Jae
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.31 no.5
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    • pp.562-569
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    • 2007
  • This paper presents plastic limit loads and approximate J estimates for axial through-wall cracked pipe bends under internal pressure and in-plane bending. Geometric variables associated with a crack and pipe bend are systematically varied, and three possible crack locations (intrados, extrados and crown) in pipe bends are considered. Based on small strain finite element limit analyses using elastic-perfectly plastic materials, effect of bend and crack geometries on plastic limit loads for axial through-wall cracked pipe bends under internal pressure and in-plane bending are quantified, and closed-form limit solutions are given. Based on proposed limit load solutions, a J estimation scheme for axial through-wall cracked pipe bends under internal pressure and in-plane bending is proposed based on reference stress approach.

Failure Analysis of Connecting Rod at Small End (커넥팅로드 소단부 파단의 해석)

  • 민동균;전병희;김낙수
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.2
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    • pp.382-390
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    • 1995
  • Failure of connecting rod in automotive engine may cause catastrophic situation. The corner radius at small end has an effect on stress raising. To investigate the stress distribution in connecting rod during operation, the finite element analysis was used by giving possible maximum tension and compression. Excessive sizing after forging connecting rod may result in the tensile residual stress which lower the fatigue life and cause premature failures. It was shown that when the sizing amount is too large, the location of high tensile residual stress coincide with that of high stress amplitude during operation through the elastic-plastic finite element analysis. The endurance limit moves down due to the surface finish and decarburization, which combines with the movement of resultant stress points to dangerous range. It was concluded that the precise control of sizing and enough corner radius are necessary to a reliability of connecting rod.

Evaluation of Seismic Buckling Load for Seismically Isolated KALIMER Reactor Vessel (면진설계된 KALIMER 원자로용기의 지진좌굴 특성평가)

  • 구경회
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 1999.10a
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    • pp.220-227
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    • 1999
  • The Purpose of this paper is to evaluate the buckling strength of conceptually designed KALIMER reactor vessel. For evaluation of the buckling load buckling load the design equations and the finite element analysis are used. In finite element method the eigenvalue buckling analysis nonlinear elastic buckling analysis using snap-through buckling method and nonlinear elastic-plastic buckling analysis are carried out. the calculated buckling loads of KALIMER reactor vessel using the finite element method are in well agreement with those of the design equations. From the calculated results of buckling load in KALIMER rector vessel it is shown that the plasticity of vessel materials significantly affects the buckling load but the initial imperfection has little effects, In checking the limits of bucking load of KALIMER reactor vessel using the ASME B & PV Section III. Subsection NH the non-seismic isolation design can not satisfy the buckling limit requirements but the seismic isolation design can sufficiently satisfy the requirements.

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Study on Evaluation of Structural Integrity for Small Aircraft Tail (소형 항공기 미익부 구조 건전성 평가에 관한 연구)

  • Lee, Muhyoung;Park, Illkyung;Kim, Sungjoon;Ahn, Sukmin
    • Journal of Aerospace System Engineering
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    • v.6 no.2
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    • pp.28-34
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    • 2012
  • Structural integrity evaluation is important item in the aircraft certification. Recently, it is designed for limit load, material weakness about fatigue and corrosion, damage by bird strike in flight to evaluate structural integrity of aircraft. And static/fatigue analysis are performed to secure structural integrity, it was verified by static and fatigue tests. To evaluate the structural integrity of small aircraft tail, structural integrity was calculated by the finite element analysis. In the present study, finite element analysis are performed to pick out load cases in flight occurrence, and secure margin of safety to evaluate structural integrity of KC-100 tail unit. The proprieties of finite element analysis results are compared with the static structure test results. The estimation process of structural integrity for small aircraft tail may help the design.

Elacstic-\Plastic Limit Load Analysis of Notched Specimen by the Finite Element Method (노치 ( Notch )를 가진 試片의 有限要素法에 의한 彈塑性 極限 荷重解析)

  • Lee, Taik-Soon;Kim, Dong-Sub;Hwang, Pyung
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.7 no.4
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    • pp.379-385
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    • 1983
  • Many papers have shown limit loads of v-notched tension specimens in plane stress by the elastic-plastic finite element method. But they are always higher than the theoretical maximum loads. The present approach tries to find the reasons and formulates correction factor applicable to any notch shape using virtual work principle with triangular elements. The corrected limit loads are in good agreement with theoretical upper bound solutions and they are little influenced by mesh size and specimen length, which make the computing time save.

Engineering Estimation of Limit Load Solution for Wall-Thinned Pipes Considering Material Properties (재료물성을 고려한 감육배관의 공학적 한계하중해 제시)

  • Choi, Jae-Boong;Kim, Jin-Su;Goo, Bon-Geol;Kim, Young-Jin;Choi, Young-Hwan
    • Proceedings of the KSME Conference
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    • 2001.06a
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    • pp.351-356
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    • 2001
  • A potential loss of structural integrity due to aging of nuclear piping may have a significant effect on the safety of nuclear power plants. In particular, failures due to the erosion and corrosion defects are a major concern. As a result, there is a need to assess the remaining strength of pipe with erosion/corrosion defects. In this paper, a limit load solution for the eroded and corroded SA106 Grade B pipes subjected by internal pressure is developed. based in 3-D finite element analyses, considering a wide range of the shape of pipeline, flaw depth and axial flaw length parametrically.

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A proposed set of popular limit-point buckling benchmark problems

  • Leahu-Aluas, Ion;Abed-Meraim, Farid
    • Structural Engineering and Mechanics
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    • v.38 no.6
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    • pp.767-802
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    • 2011
  • Developers of new finite elements or nonlinear solution techniques rely on discriminative benchmark tests drawn from the literature to assess the advantages and drawbacks of new formulations. Buckling benchmark tests provide a rigorous evaluation of finite elements applied to thin structures, and a complete and detailed set of reference results would therefore prove very useful in carrying out such evaluations. Results are usually presented in the form of load-deflection curves that developers must reconstruct by extracting the points, a procedure which is often tedious and inaccurate. Moreover the curves are usually given without accompanying information such as the calculation time or number of iterations it took for the model to converge, even though this type of data is equally important in practice. This paper presents ten different limit-point buckling benchmark tests, and provides for each one the reference load-deflection curve, all the points necessary to recreate the curve in tabulated form, analysis data such as calculation time, number of iterations and increments, and all of the inputs used to obtain these results.

Inelastic Analysis of Space Steel Frames Considering Spread of Plasticity (소성영역 진전효과를 고려한 공간 뼈대구조의 비탄성 해석)

  • 한재영;김성보
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2003.04a
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    • pp.45-52
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    • 2003
  • A finite element procedure to estimate ultimate strength of space frames considering spread of plasticity is presented. The improved displacement field is introduced based on inclusion of second order terms of finite rotations. All the nonlinear terms due to bending and torsional moment as well as axial force are precisely considered. The concept of plastic hinge is introduced and the incremental load/displacement method is applied for the elasto-plastic analysis. The initial yield surface is defined based on the residual stress and the full plastification surface is considered under the combined action of axial force, bending and torsional moments. The elasto-plastic stiffness matrices are derived using the flow rule and the normality condition of the limit function. Finite element solutions for ultimate strength of space frames are compared with available solutions and experimental results.

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