• Title/Summary/Keyword: curve singularity

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Fatigue Analysis of Welding Bogie Frames for Rolling Stocks Using The equilibrium-equivalent structural stress method (등가구조응력법을 이용한 철도차량 용접대차프레임의 피로해석)

  • Kim, Chul-Su;Ahn, Seung-Ho;Chung, Kwang-Woo;Cheon, Young-Suk;Park, Choon-Soo;Kim, Sang-Su;Jang, Cheon-Su
    • Proceedings of the KSR Conference
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    • 2010.06a
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    • pp.1243-1248
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    • 2010
  • Fatigue design and evaluation of welded joints are typically carried out by weld classification approach in which a family (theoretically infinite) of parallel nominal stress based S-N curves are used according to joint types and loading modes as well as extrapolation-based hot spot stress. Traditional finite element methods are not capable of consistently capturing the stress concentration effects on fatigue behavior due to their mesh-sensitivity in stress determination at welds resulted from notch stress singularity. The extrapolated hot spot stresses tend vary, depending on the element sizes, types, joint types, and loading mode. however, the equilibrium-equivalent structural stress method(E2S2) has been recently developed through several joint industry projects as a robust method to analyze welded components using finite element analysis. This method has been proven effective in correlating a large amount of published fatigue test results in the literature such as master S-N curve and has used for evaluating the fatigue life of welding components. In this study, fatigue analysis of the welding bogie frame is examined using E2S2 method with master S-N curve.

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A Study on the Calculation Scheme of Extreme Loading Point and Nose Curves using Modified N-R and Continuation Method (수정N-R법과 연속음형법을 이용한 임계부하점 및 Nose Curve 산정기법 연구)

  • Yu, In-Keun
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.41 no.7
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    • pp.712-722
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    • 1992
  • Several voltage instability/collapse problems that have occurred in the electric utility industry worldwide have gained the attention of engineers and researchers of electric power systems. This paper proposes an effective calculation scheme of the extreme loading point and nose curves(P-V curves) using modified Newton-Raphson(N-R) load flow method and the Continuation Method. This method provides detail and visual information of the power system voltage profile and operating margin ro operators and planners. In this paper, a modified load flow claculation method for ill-conditioned power systems is introduced for the purpose of seeking more precise load flow solutions and nose curves, and the Continuation Method is also used as a part of the solution algorithm for the calculation of extreme loading point and nose curves. The conventional polar coordinate based N-R load flow program is modified to avoid numerical difficulties caused by the singularity of the Jacobian matrix occuring in the vicinity of extreme loading point of heavily loaded systems. Application results of the proposed method to Klos-Kerner 11-bus system and modified IEE-30-bus system are presented to assure the usefulness of the approach.

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Torsion of Hypothetical Single-Wall Silicon Nanotubes (가상의 단일벽 실리콘 나노튜브의 비틀림)

  • 변기량;강정원;이준하;권오근;황호정
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.16 no.12S
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    • pp.1165-1174
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    • 2003
  • The responses of hypothetical silicon nanotubes under torsion have been investigated using an atomistic simulation based on the Tersoff potential. A torque, proportional to the deformation within Hooke's law, resulted in the ribbon-like flattened shapes and eventually led to a breaking of hypothetical silicon nanotubes. Each shape change of hypothetical silicon nanotubcs corresponded to an abrupt energy change and a singularity in the strain energy curve as a function of the external tangential force, torque, or twisted angle. The dynamics o silicon nanotubes under torsion can be modelled in the continuum elasticity theory.

The Accuracy of Echocardiography and ECG in the Left Ventricular Hypertrophy (좌심실비대 진단에서 심장초음파와 심전도검사의 정확성)

  • Yang, SungHee;Lee, Jin-Soo;Kim, Changsoo
    • The Journal of the Korea Contents Association
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    • v.16 no.2
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    • pp.666-672
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    • 2016
  • We extracted 50 LVH patients out of 30'~80's who performing ECG and echocardiography examination. We used Devereux's theory to examinate LVH with echocardiography and used Sokolow-Lyon's theory to examinate LVH with ECG. We used regression and correlation analysis by SPSS, used ROC curve analysis to decide predominance of two ways of .Age, BMI, SBP and DBP whice are the danger factors of LVH and standard value of LVH diagnosis examination seems correlated. Out of 50 LVH patients, 50 patients were diagnosed LVH by echcardiography examination and only 21 patients were diagnosed LVH by ECG examination. Also echocardiography was AUC 99%, sensitivity 96%, singularity 95%, accuracy 95.5%. And ECG was AUC 76%, sensitivity 62%, singularity 76%, accuracy 68%.By comparing accuracy between echocardiography and ECG in diagnosing LVH, we could tell echocardiography was examination with higher accuracy. Therefore, if one was diagnosed with summit on 1st examination with ECG, considering age, body mass index, systolic blood pressure and dilator blood pressure, should offer echocardiography examination.

On variable bandwidth Kernel Regression Estimation (변수평활량을 이용한 커널회귀함수 추정)

  • Seog, Kyung-Ha;Chung, Sung-Suk;Kim, Dae-Hak
    • Journal of the Korean Data and Information Science Society
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    • v.9 no.2
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    • pp.179-188
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    • 1998
  • Local polynomial regression estimation is the most popular one among kernel type regression estimator. In local polynomial regression function esimation bandwidth selection is crucial problem like the kernel estimation. When the regression curve has complicated structure variable bandwidth selection will be appropriate. In this paper, we propose a variable bandwidth selection method fully data driven. We will choose the bandwdith by selecting minimising estiamted MSE which is estimated by the pilot bandwidth study via croos-validation method. Monte carlo simulation was conducted in order to show the superiority of proposed bandwidth selection method.

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A Study on Free Surface Cutting Force System of Conical Tipped Circular Cutting Edge Ball End Mill (圓錐팁 Ball End Mill 의 3次元 曲面切削力系에 관한 硏究)

  • 박천향;맹희구
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.9 no.4
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    • pp.440-451
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    • 1985
  • This study is concerned with the analysis of cutting force system acting on ball-nose end mill in three-dimensional surface machining process. Conical tipped circular cutting edge element model and free surface machining process types are proposed to apply oblique cutting theory, and then derived equations are used for numerical approach of cutting force curves by matrix method. This approach has a good agreement with experimental results both in magnitude and shape within the range of 15 percent, which was conformed on 6061-T6 aluminum workpiece having twofold curvatured surface. From the cutting load variation to edge location, it is confirmed that circular cutting edge shapes has a better cutting ability than that of straight and both have a singularity near a tool point. It is also verified that what kind of machining condition is recommendable for three-dimensional machining process in connection with deflection of the cutter to workpiece and tool point wearing or system stability.

Feasibility Study of Friction Characteristics for Impact Analysis (충돌 해석 시 마찰 모델 적용을 위한 기초 마찰 시험 연구)

  • Lee, Kwang-Hee;Lee, Chul-Hee
    • Tribology and Lubricants
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    • v.37 no.3
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    • pp.112-116
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    • 2021
  • Appropriate friction model usage is important for impact analysis because the relative motions between parts that are in contact for very short durations can vary greatly depending on the friction model. Vehicle seat components that have significant effects on impact analysis are also considered. This paper presents an experimental investigation of various material contact pairs to obtain the friction parameters of the Benson exponential friction model for impact simulation. The Coulomb friction model has limitations for impact analysis because of singularity at zero velocity. Metal/nonmetal materials are prepared, and friction tests are conducted for various sliding speeds, loads, and lubrication conditions. The obtained data are used in the friction model to implement finite element analysis. The parameters of the friction model are obtained by the curve-fitting method. The experimental results show that the friction coefficient with metal/nonmetal contact pairs is stable regardless of the working conditions. The friction model used in this study can also be applied for finite element analysis of the crash conditions, where the friction changes abruptly at the contact interface; the obtained friction parameters are also expected to be more accurate with more precise tests under different working conditions. These results can help improve the accuracy of the finite element analysis.

A Study on the Fatigue Strength Evaluation for Fillet Weldment including Stress Singularity using Structural Stress with Virtual Node Method (응력 특이점을 갖는 필릿 용접구조물의 피로해석을 위한 가상절점법을 이용한 구조응력 계산 기법 고찰)

  • Ha Chung-In;Kang Sung-Won;Kim Myung-Hyun;Kim Man-Soo;Sohn Sang-Yong;Heo Joo-Ho
    • Journal of Welding and Joining
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    • v.24 no.3
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    • pp.27-33
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    • 2006
  • Structural stress approach is well known as a mesh-size insensitive fatigue assessment method by using finite element analyses. It is, however, difficult to estimate the structural stress (SS) at weld end points due to stress singularities when shell elements are used. In this study, fatigue evaluations with longitudinal load carrying box fillet weldment under out-of-plane bending load have been performed by using virtual node method (VNM) in order to avoid the problem, which is called the weld end effect. Various combinations of virtual node parameters, such as reference point and virtual node locations, are investigated for the estimation of proper structural stress values applying VNM in a systematic manner. The appropriate guidance of virtual node parameter has been offered for the fillet weldment considered in the study. The structural stress values obtained by VNM have also been validated by comparing the result with finite element model including weld bead. Moreover, the fatigue strength of the fillet weldment based on the equivalent structural stress is shown to be consistent with the master S-N curve.

Generalization and implementation of hardening soil constitutive model in ABAQUS code

  • Bo Songa;Jun-Yan Liu;Yan Liu;Ping Hu
    • Geomechanics and Engineering
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    • v.36 no.4
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    • pp.355-366
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    • 2024
  • The original elastoplastic Hardening Soil model is formulated actually partly under hexagonal pyramidal Mohr-Coulomb failure criterion, and can be only used in specific stress paths. It must be completely generalized under Mohr-Coulomb criterion before its usage in engineering practice. A set of generalized constitutive equations under this criterion, including shear and volumetric yield surfaces and hardening laws, is proposed for Hardening Soil model in principal stress space. On the other hand, a Mohr-Coulumb type yield surface in principal stress space comprises six corners and an apex that make singularity for the normal integration approach of constitutive equations. With respect to the isotropic nature of the material, a technique for processing these singularities by means of Koiter's rule, along with a transforming approach between both stress spaces for both stress tensor and consistent stiffness matrix based on spectral decomposition method, is introduced to provide such an approach for developing generalized Hardening Soil model in finite element analysis code ABAQUS. The implemented model is verified in comparison with the results after the original simulations of oedometer and triaxial tests by means of this model, for volumetric and shear hardenings respectively. Results from the simulation of oedometer test show similar shape of primary loading curve to the original one, while maximum vertical strain is a little overestimated for about 0.5% probably due to the selection of relationships for cap parameters. In simulation of triaxial test, the stress-strain and dilation curves are both in very good agreement with the original curves as well as test data.

Resistance Curves of Concrete CLWL-DCB Specimens (콘크리트 CLWL-DCB 시험편의 저항곡선)

  • 연정흠
    • Journal of the Korea Concrete Institute
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    • v.14 no.3
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    • pp.357-364
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    • 2002
  • The resistance curves (R-curves) for 381 m crack extension of CLWL-DCB specimens had been determined. The average velocities of the crack extension measured with strain gages were 0.70 and 55 ㎜/sec. The measured rotation angle of the notch faces showed the existence of the singularity at least before 171 and 93 mm crack extensions for the 0.70 and 55 ㎜/sec crack velocities, respectively. The maximum slopes of the R-curves occurred between 25 and 89 ㎜ crack extensions for 0.70 ㎜/sec crack velocity and between 51 and 127 ㎜ crack extensions for 55 ㎜/sec crack velocity During the maximum slopes of the R-curves, the micro-crack localization can be expected, and faster crack velocity may form longer micro-cracking and micro-crack localizing zones. The fracture resistance of 0.70 ㎜/sec crack velocity reached a roughly constant maximum value of 143 N/m at 152 ㎜ crack extension, while that of 55 ㎜/sec crack velocity increased continuously to 245 N/m at 254 ㎜ crack extension and then decreased to the value of 0.70 ㎜/sec crack velocity. The R-curve of 55 ㎜/sec crack velocity was similar to that of the small size three-point bend test, and it showed that small size specimen or fast crack velocity could cause more brittle behavior.