• Title/Summary/Keyword: Cross-section method

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Construction of curve-net interpolation surface considering trajectory of cross-section curves (단면곡선의 궤적을 고려한 곡선망 보간곡면 형성)

  • Yoo, Woo-Sik;Shin, Ha-Yong;Choi, Byoung-K.
    • Journal of Korean Institute of Industrial Engineers
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    • v.20 no.2
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    • pp.77-90
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    • 1994
  • Curve-net interpolation surface is one of the most popular method in engineering design. Therefore it is supported with many commercial CAD/CAM system. However, construction algorithm of curve-net interpolation surfaces is rarely opened to the public because of its copy-right. In this paper we establish a construction algorithm of curve-net interpolation surface so called sweeping surface which especially concentrates on trajectory of cross-section curve. We also show the method which can construct sweeping surfaces as NURB or Bezier mathematical models. Surfaces having the form of standard mathematical models are very useful for the application of joining, trimming, blending etc. The proposed surface interpolation scheme consists of four steps; (1) preparation of guide curves and section curves, (2) remeshing guide curves and section curves, (3) blending section curves after deformation, and (4) determination of control points for sweeping surface using gordon method. The proposed method guarantee $G^1$-continuety, and construct the surface salifying given section curves and trajectory of section curves.

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Vibration Analysis for Circular Arches with Variable Cross-section by using Differential Transformation and Generalized Differential Quadrature (미분변환법과 일반화 미분구적법을 이용한 가변단면 원호 아치의 진동 해석)

  • Shin, Young Jae;Kwon, Kyung Mun;Yun, Jong Hak;Yoo, Yeong Chan;Lee, Ju Hyung
    • Journal of Korean Society of Steel Construction
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    • v.16 no.1 s.68
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    • pp.81-89
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    • 2004
  • The vibration analysis of the circular arch as a member of a structure has been an important subject of mechanics due to its various applications to many industrial fields. In particular, circular arches with variable cross section are widely used to optimize the distribution of weight and strength and to satisfy special architectural and functional requirements. The Generalized Differential Quadrature Method (GDQM) and Differential Transformation Method (DTM) were recently proposed by Shu and Zou, respectively. In this study, GDQM and DTM were applied to the vibration analysis of circular arches with variable cross section. The governing equations of motion for circular arches with variable cross section were derived. The concepts of Differential Transformation and Generalized Differential Quadrature were briefly introduced. The non-dimensionless natural frequencies of circular arches with variable cross section were obtained for various boundary conditions. The results obtained using these methods were compared with those of previous works. GDQM and DTM showed fast convergence, accuracy, efficiency, and validity in solving the vibration problem of circular arches with variable cross section.

Development of CNC Extruder for Variable Cross-Section Extrusion Process and its Applied Research (가변단면 압출기 개발 및 응용 연구)

  • Choi, H.J.;Lim, S.J.;Shin, H.T.;Choi, S.
    • Transactions of Materials Processing
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    • v.17 no.2
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    • pp.130-134
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    • 2008
  • Resource and energy saving is a very important practice for the future as well as for today. Weight saving of structural parts, which are formed by extrusion, plays a key role in manufacturing field. The cross-sections of extruded parts with industrial aluminum are constant in the axial direction by conventional extrusion method. Especially, these aluminum parts used and manufactured in the car industry need other processes to vary the cross-section in the axial direction. However, applications of these parts are often limited by high cost. If the cross-section of the parts is variable by only extrusion with newly developed method, the application of extruded aluminum parts will actually increase. Therefore, a new CNC extruder that can control the section area of a car part was invented for the first time in the nation. Using the extrusion machine, the experiment was performed to validate its workability during the variable section extrusion process. Also, numerical analysis was carried out to investigate the flow mode with different speeds of main ram and various pocket shapes of a die-set in the variable section extrusion process.

Optimum design of parabolic and circular arches with varying cross section

  • Uzman, Umit;Daloglu, Ayse;Saka, M. Polat
    • Structural Engineering and Mechanics
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    • v.8 no.5
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    • pp.465-476
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    • 1999
  • A structural optimization process is presented for arches with varying cross-section. The optimality criteria method is used to develop a recursive relationship for the design variables considering displacement, stresses and minimum depth constraints. The depth at the crown and at the support are taken as design variables first. Then the approach is extended by taking the depth values of each joint as design variable. The curved beam element of constant cross section is used to model the parabolic and circular arches with varying cross section. A number of design examples are presented to demonstrate the application of the method.

On the Strength Analysis of the Stiffener with Asymmetric Cross Section (비대칭(非對稱) 단면(斷面) 보강재(補剛材)의 강도해석(强度解析))

  • S.J.,Yim;Y.S.,Yang;J.S.,Lee
    • Bulletin of the Society of Naval Architects of Korea
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    • v.17 no.1
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    • pp.11-18
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    • 1980
  • In the conventional ship's structures, the stiffeners with asymmetric sections have been widely used, in spite of the disadvantage on the point of strength, compared to those with symmetric sections. So far, the stiffened plating was usually analyzed not considering the geometric unsymmetry characteristics of the section, including only the cross sectional area and moment of inertia. In this paper, the stiffened plating is devided into the strips having a thin-walled open cross section by using the concept of the effective width. The geometric characteristics of the sections are also included. The governing equations are derived, which can be applied to the arbitrary cross section beams, and the symmetric and the asymmetric section beams which have the same cross sectional areas are analyzed by using the finite element method. From that result, we obtain the allowable load of the two sections, and compared them.

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Acoustic Analysis of Circular Simple Expansion Chamber with Arbitrary Location and Cross-Section Area of Inlet/Outlet (원형단순확장관의 입$\cdot$출구 위치와 단면 크기를 고려한 음향해석법)

  • 김봉준;정의봉;황상문
    • Journal of KSNVE
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    • v.9 no.5
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    • pp.914-921
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    • 1999
  • There are many theoretical investigations to analyze higher order mode of reactive type single expansion chambers with offset inlet/outlet locations. But the conventional method has the restriction that the ratio between the area of inlet(or outlet) pipe and that of chamber must be natural number. In the paper, a new method was suggested to apply the Kim's method to silencer with circular cross-section. Not only the offset location but also the magnitude of cross-section area of inlet/outlet pipe can be considered by the suggested method. The predictions by this new method also compared with those by the finite element method and Munjal's method in order to verify the accuracy of the suggested method presented here.

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The Reaction Probability and the Reaction Cross-section of N + O2→ NO + O Reaction Computed by the 6th-order Explicit Symplectic Algorithm

  • He, Jianfeng;Li, Jing
    • Bulletin of the Korean Chemical Society
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    • v.27 no.12
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    • pp.1976-1980
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    • 2006
  • We have calculated the reaction probability and the reaction cross-section of the $N(^4S)+O_2(X^3\sum_{g}^{-})\;\rightarrow\;NO(X^2\Pi)+O(^3P)$ reaction by the quasiclassical trajectory method with the 6th-order explicit symplectic algorithm, based on a new ground potential energy surface. The advantage of the 6th-order explicit symplectic algorithm, conserving both the total energy and the total angular momentum of the reaction system during the numerical integration of canonical equations, has firstly analyzed in this work, which make the calculation of the reaction probability more reliable. The variation of the reaction probability with the impact parameter and the influence of the relative translational energy on the reaction cross-section of the reaction have been discussed in detail. And the fact is found by the comparison that the reaction probability and the reaction cross-section of the reaction estimated in this work are more reasonable than the theoretical ones determined by Gilibert et al.

On the evaluation of critical lateral buckling loads of prismatic steel beams

  • Aydin, R.;Gunaydin, A.;Kirac, N.
    • Steel and Composite Structures
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    • v.18 no.3
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    • pp.603-621
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    • 2015
  • In this study, theoretical models and design procedures of the behavior of thin-walled simply supported steel beams with an open cross section under a large torsional effect are presented. I-sections were chosen as the cross section types. Firstly, the widely used differential equations for the lateral buckling for the pure bending moment effect in a beam element were adopted for the various moment distributions along the span of the beam. This solution was obtained for both mono-symmetric and bisymmetric sections. The buckling loads were then obtained by using the energy method. When using the energy method to solve the problem, it is possible to locate the load not only on the shear center but also at several points of the section depth. Buckling loads were obtained for six different load types. Results obtained for different load and cross section types were checked with ABAQUS software and compared with several standard rules.

Prediction of Drawing Load in the Shape Drawing Process (이형인발공정 하중예측에 관한 연구)

  • Lee, T.K.;Lee, C.J.;Lee, S.K.;Kim, B.M.
    • Transactions of Materials Processing
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    • v.18 no.4
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    • pp.323-328
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    • 2009
  • The prediction of drawing load is very important in the drawing process. However, it is not easy to calculate the drawing load for the shape drawing process through a theoretical model because of a complex arbitrary final cross section shape. The purpose of this study is to predict drawing load in shape drawing process. The cross section of product is divided with small angle as much as similar with fan-shape. The drawing load of each section was calculated by theoretical model of round to round drawing process. And the shape drawing load was determined by summation of drawing load of each section. The effectiveness of the proposed method was verified through the FE analysis and shape drawing experiment. It had a good agreement between proposed method, FE analysis and experiment within about 3% errors.

Measurement of Energy Dependent Neutron Capture Cross Section of 99Tc

  • Lee, Sam-Yol;Lee, Sang-Bock;Lee, Jun-Haeng;Lee, Jeung-Min;Yoon, Jung-Ran
    • Proceedings of the Korea Contents Association Conference
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    • 2004.11a
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    • pp.495-500
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    • 2004
  • The neutron capture cross section of $^{99}Tc$ has been measured relative to the $^{10}B$(n,g) standard cross section by the neutron time-of-flight(TOF) method in the energy range of 0.007 eV to 47keV using a 46-MeV electron linear accelerator(linac) at the Research Reactor Institute, Kyoto University(KURRI). In order to experimentally prove the result obtained, the supplementary cross section measurement has been made from 0.3 eV to 1 keV using the Kyoto University Lead slowing-down Spectrometer(KULS) coupling to the linac. The relative measurement by the TOF method has been normalized to the reference value(20.01 b) at 0.0253 eV and the KULS measurement to that by the TOF method. The existing experimental data and the evaluated capture cross sections in ENDF/B-VI, JENDL-3.2, and JEF-2.2 have been compared with the current measurements by the linac TOF and the KULS experiments. The energy dependency of the KULS data is close to that of the TOF data which are energy-broadened by the resolution function of the KULS.

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