• Title/Summary/Keyword: moment equations

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Development of Automated Design Program for Electric Railway Pole Foundation (전철주기초 설계 자동화 프로그램 개발)

  • Kim, Jung-Moo;Chung, Won-Yong;Jeon, Yun-Bae;An, Seung-Hwa;Song, Kyu-Seok;Kim, Jong-Nam;Lee, Su-Hyung
    • Proceedings of the KSR Conference
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    • 2010.06a
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    • pp.692-697
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    • 2010
  • In this paper, a design program for electric railway pole foundation was developed by applying the estimation study performed by Korean Railway. There are two kinds of shapes in the cross-section of electric railway pole foundation: rectangle and circle. In foundation designing, The rectangular foundation should be satisfied with vertical, horizontal and moment equilibrium equations. On the other hand, the circular foundation should be satisfied with horizontal and moment equilibrium equations. The design program was coded into MFC(Microsoft Foundation Class) by MS Visual C. The equation's roots in the program were obtained by Incremental Search method. Dialog and property sheet(Wizard Mode) input windows were selected for user-friendliness. The biggest advantage of this program is to find an optimum depth in a given section.

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A Mathematical Model Development of Automotive Transmission Starter-Generator (자동차 트랜스미션 스타터-제너레이터의 수학적 모델 개발)

  • Jang BongChoon;Karnopp Dean C.
    • Transactions of the Korean Society of Automotive Engineers
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    • v.14 no.1
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    • pp.123-128
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    • 2006
  • The proposed mathematical model of the starter-generator system incorporates the motor speed, battery voltage and the desired current to estimate the moment generation capabilities of the starter-generator and the actual current of the battery system. The fundamentals for this mathematical modeling are the simulated results of the experimental data. These pertinent data are used in establishing the governing equations for the determination of motor moments, actual battery currents and efficiencies of the system's operation at different loading characteristics and speed regions. The derived equations will be used into simulation programs to predict the fuel efficiency, vehicle characteristics of a hybrid electric vehicle equipped with a transmission starter-generator which will be developed.

The equivalent second moment of area for the symmetrically tapered compression member (대칭형으로 taper진 압축재의 등가 단면2차모멘트)

  • 김상조;민영숙;김순철;이수곤
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2001.04a
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    • pp.291-298
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    • 2001
  • When the compression members have the variable cross sections along their member axes, the determination of the elastic critical loads by classical methods becomes impossible and if possible involves complicated calculation only to obtain the approximate values of critical load. In this paper the elastic critical load coefficients of the tapered members with simply supported ends were determined by finite element method. And then the results were represented by simple algebraic equations of two parameters, a( =taper parameter) and m ( = sectional property parameter). One the basis of algebraic equations, the equivalent moment of inertia concept originally proposed by Bleich for a spesific case, are extended to the general cases.

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Stiffness Reduction Factor for Flat Plate Slabs (플랫 플레이트 슬래브 해석을 위한 강성감소계수 제안)

  • Park, Young-Mi;Han, Sang-Whan
    • Proceedings of the Korea Concrete Institute Conference
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    • 2006.11a
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    • pp.337-340
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    • 2006
  • The purpose of this study is to propose the stiffness reduction factor for flat plate slabs under lateral loads. Current design code (e.g., ACI 318-05) requires considering the effects of cracks for calculating slab stiffness under lateral loads. This study collected the test results of 20 interior slab-column connections, from which stiffness reduction in each test was estimated with respect to the ratio of applied moment to cracking moment ($M_a/M_{cr}$). Based on collected data, this study proposed equations for calculating stiffness reduction with respect to $M_a/M_{cr}$. To verify the proposed equations, this study conducted the experimental test of interior slab-column connections under quasi-static cyclic loading. From the test, load-deformation curve is compared to that obtained from effective beam width method with the proposed equation for the stiffness reduction. It is shown that the effective beam width method with the proposed equation for stiffness reduction predicts accurately the test results.

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Analytical Theory of Ball Bearing Considering Waviness of Rolling Elements (구름요소의 Waviness 를 고려한 볼베어링 해석 이론)

  • 정성원;장건희
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.11 no.7
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    • pp.275-286
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    • 2001
  • The research presents an analytical theory to calculate the characteristics of the bal bearing with waviness in its rolling elements considering the centrifugal force and gyroscopic moment of bal. The effects of centrifugal force and gyroscopic moment are introduced to the kinematic constraints and force equilibrium equations. and the waviness of rolling elements is modeled by sinusoidal function to calculate the contact force at each ball. The numerical solutions of governing equation of berating due to waviness are calculated by using the Newton-Raphson method. The accuracy of the research is validated by comparing the contact force. contact angle in case of considering the centrifugal force and gyroscopic moment of bal and the contact force and vibration frequencies in cases of considering waviness with the prior researches respectively. It investigates the stiffness, contact force. displacement and vibration frequencies of the ball bearing considering not only the centrifugal force and gyroscopic moment of ball but also the waviness of the rolling elements.

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Conditional moment closure modeling in turbulent nonpremixed combustion (난류확산연소에서의 conditional moment closure modeling)

  • Huh, Kang-Yul
    • 한국연소학회:학술대회논문집
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    • 2000.12a
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    • pp.24-32
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    • 2000
  • A brief introduction is given on the conditional moment closure model for turbulent nonpremixed combustion. It is based on the transport equations derived through a rigorous mathematical procedure for the conditionally averaged quantities and appropriate modeling forms for conditional scalar dissipation rate, conditional mean velocity and reaction rate. Examples are given for prediction of NO and OH in bluffbody flames, soot distribution in jet flames and autoignition of a methane/ethane jet to predict the ignition delay with respect to initial temperature, pressure and fuel composition. Conditional averaging may also be a powerful modeling concept in other approaches involved in turbulent combustion problems in various different regimes.

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Effective moment of inertia for rectangular elastoplastic beams

  • Faller, Ronald K.;Rosson, Barry T.
    • Structural Engineering and Mechanics
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    • v.7 no.1
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    • pp.95-110
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    • 1999
  • An effective moment of inertia is developed for a rectangular, prismatic elastoplastic beam with elastic, linear-hardening material behavior. The particular solution for a beam with elastic, perfectly plastic material behavior is also presented with applications for beam bending in closed-form. Equations are presented for the direct application of the virtual work method for elastoplastic beams with concentrated and distributed loads. Comparisons are made between the virtual work method deflections and the deflections obtained by using an average effective moment of inertia over two lengths of the beam in the elastoplastic region.

The Prevention of The Longitudinal Deformation due to Fillet Welding by using Induction Heating (고주파가열에 의한 Built-up재의 용접종굽힘 변형방지)

  • Park Jeong-Ung;Chang Kyong-Ho;Lee Hae-Woo;An Gyu-Baek
    • Journal of Welding and Joining
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    • v.23 no.3
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    • pp.47-53
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    • 2005
  • Longitudinal deformation is produced by fillet welding during the fabrication of built-up beams and decreases productivity and quality because it needs an extra correcting process. The deformation is caused by welding moment, which is the value multiplied the welding shrinking farce by the distance from the neutral axis. This welding moment can be offset by generating a moment in the same magnitude and in an opposite direction by induction heating. The location and quantity of the induction heating are decided via experiments and simple equations. This study, first, clarifies the creation mechanism of the longitudinal deformation with FEM analysis. Then, we presents the preventive method of this deformation by induction heating basing on the mechanism and verifies its validity through analysis and experiments.

Limiting the sway on multi-storey un-braced steel frames bending on weak axis with partial strength connections

  • Tahir, Mahmood Md.;Ngian, Poi Shek
    • Structural Engineering and Mechanics
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    • v.38 no.6
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    • pp.825-847
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    • 2011
  • This paper investigates the design using wind-moment method for semi-rigid un-braced steel frames bending on weak axis. A limiting sway method has been proposed to reduce the frame sway. Allowance for steel section optimization between moment of inertia on minor axis column and major axis beam was used in conjunction with slope-deflection analysis to derive equations for optimum design in the proposed method. A series of un-braced steel frames comprised of two, four, and six bays ranging in height of two and four storey were studied on minor axis framing. The frames were designed for minimum gravity load in conjunction with maximum wind load and vice-versa. The accuracy of the design equation was found to be in good agreement with linear elastic computer analysis up to second order analysis. The study concluded that the adoption of wind-moment method and the proposed limiting sway method for semi-rigid steel frame bending on weak axis should be restricted to low-rise frames not more than four storey.

Conditional Moment Closure Modeling in Turbulent Nonpremixed Combustion (난류확산연소에서의 Conditional Moment Closure Modeling)

  • Huh, Kang-Y.
    • Journal of the Korean Society of Combustion
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    • v.5 no.2
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    • pp.9-17
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    • 2000
  • A brief introduction is given on the conditional moment closure model for turbulent nonpremixed combustion. It is based on the transport equations derived through a rigorous mathematical procedure for the conditionally averaged quantities and appropriate modeling forms for conditional scalar dissipation rate, conditional mean velocity and reaction rate. Examples are given for prediction of NO and OR in bluffbody flames, soot distribution in jet flames and autoignition of a methane/ethane jet to predict the ignition delay with respect to initial temperature, pressure and fuel composition. Conditional averaging may also be a powerful modeling concept in other approaches involved in turbulent combustion problems in various different regimes.

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