• Title/Summary/Keyword: Boundary Curve

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A Study on Weldment Boundary Condition for Elasto-Plastic Thermal Distortion Analysis of Large Welded Structures (대형 용접구조물의 탄소성 열변형 해석을 위한 용접부의 변형률 경계조건에 관한 연구)

  • Ha, Yun-Sok
    • Journal of Welding and Joining
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    • v.29 no.4
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    • pp.48-53
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    • 2011
  • A thermal distortion analysis which takes strains directly as boundary conditions removed barrier of analysis time for the evaluation of welding distortion in a large shell structure like ship block. If the FE analysis time is dramatically reduced, the structure modeling time or the input-value calculating time will become a new issue. On the contrary to this, if the calculation time of analysis input-value is dramatically reduced and its results also are more meaningful, a little longer analysis time could be affirmative. In this study, instead of using inherent strain based on elastic analysis, a thermal strain based on elasto-plastic analysis is used as the boundary condition of weldments in order to evaluate the welding distortion. Here, the thermal strain at the weldment was established by using a stress-strain curve established from the test results. It is possible to automatically recognize the modeling induced-stiffness in the shrinkage direction of welded or heated region. The validity of elasto-plastic thermal distortion analysis was verified through the experiment results with various welding sequence.

ANALYSIS OF THE OPTIMIZED H TYPE GRID SPRING BY A CHARACTERIZATION TEST AND THE FINITE ELEMENT METHOD UNDER THE IN-GRID BOUNDARY CONDITION

  • Yoon Kyung-Ho;Lee Kang-Hee;Kang Heung-Seok;Song Kee-Nam
    • Nuclear Engineering and Technology
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    • v.38 no.4
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    • pp.375-382
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    • 2006
  • Characterization tests (load vs. displacement curve) are conducted for the springs of Zirconium alloy spacer grids for an advanced LWR fuel assembly. Twofold testing is employed: strap-based and assembly-based tests. The assembly-based test satisfies the in situ boundary conditions of the spring within the grid assembly. The aim of the characterization test via the aforementioned two methods is to establish an appropriate assembly-based test method that fulfills the actual boundary conditions. A characterization test under the spacer grid assembly boundary condition is also conducted to investigate the actual behavior of the spring in the core. The stiffness of the characteristic curve is smaller than that of the strap-wised boundary condition. This phenomenon may cause the strap slit condition. A spacer grid consists of horizontal and vertical straps. The strap slit positions are differentiated from each other. They affords examination of the variation of the external load distribution in the grid spring. Localized legions of high stress and their values are analyzed, as they may be affected by the spring shape. Through a comparison of the results of the test and FE analysis, it is concluded that the present assembly-based analysis model and procedure are reasonably well conducted and can be used for spring characterization in the core. Guidelines for improving the mechanical integrity of the spring are also discussed.

ASYMPTOTIC BEHAVIOR OF A-HARMONIC FUNCTIONS AND p-EXTREMAL LENGTH

  • Kim, Seok-Woo;Lee, Sang-Moon;Lee, Yong-Hah
    • Bulletin of the Korean Mathematical Society
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    • v.47 no.2
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    • pp.423-432
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    • 2010
  • We describe the asymptotic behavior of functions of the Royden p-algebra in terms of p-extremal length. We also prove that each bounded $\cal{A}$-harmonic function with finite energy on a complete Riemannian manifold is uniquely determined by the behavior of the function along p-almost every curve.

A Numerical Analysis on the System Impedance in a Fan Cooling System (Fan 냉각장치에서 System 저항에 관한 수치해석)

  • Kim, Dong-Il;Bok, Ki-So;Lee, Seung-Gyu
    • Proceedings of the KSME Conference
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    • 2004.11a
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    • pp.1424-1429
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    • 2004
  • To seek the fan operating point on a cooling system with fans, it is very important to determine the system impedance and it has been usually examined with the fan tester(wind tunnel) based on ASHRAE standard and AMCA standard. This leads to a large investment in time and cost, because it could not be executed until the system is made actually. Therefore it is necessary to predict the system impedance curve through numerical analysis so that we could reduce the measurement effort. This paper presents how the system impedance curve (pressure drop curve) is computed by CFD in substitute for experiment. In reverse order to the experimental principle of the fan tester, pressure difference was adopted first as inlet and outlet boundary conditions of the system and then flow rate was calculated.

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Numerical Simulation of Acoustic Field Interacting between a Vortex Ring and a Rigid Sphere (원형 고리와와 강체구의 상호작용에 의한 음향장 수치해석)

  • 유기완;이덕주
    • Journal of KSNVE
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    • v.7 no.2
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    • pp.215-222
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    • 1997
  • The flow and acoustic fields due to a vortex ring interaction with a rigid sphere are simulated numerically. The flow field is regarded as three-dimensional inviscid and incompressible. The vorticity is assumed to be concentrated inside the finite core of vortex filament. The vortex filament curve, described by parabolic blending curve function, is used to effectively solve the modified Biot-Savart equation. The interaction between a vortex ring and a rigid sphere using the parabolic blending curve is calculated. The trajectory of the vortex ring is obtained with several different initial positions between the ring and the sphere. The force variations acting on the sphere are calculated by using the boundary integral method. Finally, we can also obtain the acoustic signals at the far field observation positions from the force variations acting on the rigid surface. We can find that the dipole axis of the directivity patterns are rotated during the interacting phenomena.

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Calculation of Jominy Hardenability Curve of Low Alloy Steels from TTT/CCT data (TTT/CCT 데이터를 이용한 저합금강의 죠미니 경화능 곡선 계산)

  • Jung, Minsu;Son, YoonHo
    • Journal of the Korean Society for Heat Treatment
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    • v.32 no.1
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    • pp.17-28
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    • 2019
  • Jominy hardenability curves of low alloy steel containing less than 5 wt.% of alloying elements in total were calculated by applying Scheil's rule of additivity to pre-calculated isothermal transformation curve. Isothermal transformation curve for each phase in steel was approximated as a simple mathematical equation by using Kirkaldy's approach and all coefficients in the equation were estimated from experimental temperature-time-transformation (TTT) and/or continuous cooling transformation (CCT) data in the literature. Then jominy test with simple boundary conditions was performed in computer by applying the finite difference scheme. The resultant cooling curves at each location along a longitudinal direction of Jominy bar were applied to calculate phase fractions as well as mechanical properties such as micro Vickers hardness. The simulated results were compared with experimental CCT data and Jominy curves in the literature.

SOME RESULTS FOR THE EXTREMAL LENGTHS OF CURVE FAMILIES (II)

  • Chung, Bo-Hyun
    • Journal of applied mathematics & informatics
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    • v.15 no.1_2
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    • pp.495-502
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    • 2004
  • We consider the applications of extremal length to the boundary behavior of analytic functions and derive a theorem in connection with the capacity. This theorem applies the extremal length to the analytic functions defined on the domain with a number of holes. So it shows us the usefulness of the method of extremal length.

A new pattern classification algorithm for two-dimensional objects

  • You, Bum-Jae;Bien, Zeungnam
    • 제어로봇시스템학회:학술대회논문집
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    • 1990.10b
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    • pp.917-922
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    • 1990
  • Pattern classification is an essential step in automatic robotic assembly which joins together finite number of seperated industrial parts. In this paper, a fast and systematic algorithm for classifying occlusion-free objects is proposed, using the notion of incremental circle transform which describes the boundary contour of an object as a parametric vector function of incremental elements. With similarity transform and line integral, normalized determinant curve of an object classifies each object, independent of position, orientation, scaling of an object and cyclic shift of the stating point for the boundary description.

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EIGENVALUE ANALYSIS USING PIECEWISE CUBIC B-SPLINE (CUBIC B-SPLINE을 이용한 고유치 해석)

  • Kim Young-Moon
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2000.10a
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    • pp.355-360
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    • 2000
  • This paper presents properties of piecewise cubic B-spline function and Rayleigh-Ritz method to compute the smallest eigenvales. In order to compute the smallest eigenvalues, Rayleigh quotient approach is used and four different types of finite element approximating functions corresponding to the statical deflection curve, spanned by the linearly independent set of piecewise cubic B-spline functions with equally spaced 5 knots from a partion of [0, 1], each satisfying homogeneous boundary conditions with constraining effects are used to compute the smallest eigenvalues for a Sturm-Lionville boundary equations of u"+ λ²u=0, u(0.0)=u(0.0)=0, 0≤x≤1.0.

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Five-axis finishing tool path generation for a mesh blade based on linear morphing cone

  • Zhang, Rong;Hu, Pengcheng;Tang, Kai
    • Journal of Computational Design and Engineering
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    • v.2 no.4
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    • pp.268-275
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    • 2015
  • Blisk is an essential component in aero engines. To maintain good aero-dynamic performance, one critical machining requirement for blades on blisk is that the generated five-axis tool path should be boundary-conformed. For a blade discretely modeled as a point cloud or mesh, most existing popular tool path generation methods are unable to meet this requirement. To address this issue, a novel five-axis tool path generation method for a discretized blade on blisk is presented in this paper. An idea called Linear Morphing Cone (LMC) is first proposed, which sets the boundary of the blade as the constraint. Based on this LMC, a CC curve generation and expansion method is then proposed with the specified machining accuracy upheld. Using the proposed tool path generation method, experiments on discretized blades are carried out, whose results show that the generated tool paths are both uniform and boundary-conformed.