• Title/Summary/Keyword: force-moment equation

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Analysis of Electrical Coagulation of Unipolar Charged Particles in an Alternating Electric Using Moment Method (모멘트법을 이용한 AC 전기장 내의 단극성 입자의 전기응집 해석)

  • Ji, Jun-Ho;Hwang, Jeong-Ho
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.25 no.1
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    • pp.9-17
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    • 2001
  • A numerical study has been carried out on the evolution of the particle size distribution for unipolar charged particles that experience coagulation in an alternating electric field. The collision frequency function of charged particles was analytically derived. The log-normal size distribution function is utilized for representing a poly-disperse size distribution and the moments of the particle size distribution are used to solve the general dynamic equation considering only AC electric force effect. The results are compared with the effects of brownian coagulation.

Ultimate Strength of Composite Beams with Unreinforced Web Opening (유공 합성보의 강도식에 관한 연구)

  • 김창호;박종원;김희구
    • Journal of the Korea Concrete Institute
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    • v.12 no.5
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    • pp.101-110
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    • 2000
  • A practical approach of calculating the ultimate strength of composite beams with unreinforced web opning is proposed through shear behavioral tests. In this method, the slab shear contribution at the opening is calculated as the smaller value of the pullout capacity of shear connector at the high moment end and the one way shear capacity of slab. A simple interaction equation is used to predict the ultimate strength under simultaneous bending moment and shear force. Strength prediction by the proposed method is compared with previous test results and the predictions by other analytical methods. The comparison shows that the proposed method predicts the ultimate capacity with resonable accuracy.

Numerical Formulation of Axisymmetric Shell Element and Its Application to Geotechnical Problems (축대칭 쉘 요소의 유한요소 수식화와 지반공학적 활용)

  • Shin, Hosung;Kim, Jin-Wook
    • Journal of the Korean Geotechnical Society
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    • v.36 no.12
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    • pp.27-34
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    • 2020
  • Use of axisymmetric shell element for the structure increases the efficiency and accuracy in finite element analysis of the interaction between the ground and the structure. This paper derived the force balance equation and the moment balance equation for an axisymmetric shell element based on Kirchhoff's theory. The governing equation for the axial deformation used the isoparametric shape function in the Galerkin formulation, and the governing equation for the shell bending used the higher-order shape function. The developed axisymmetric shell element was combined with Geo-COUS, a geotechnical finite element program for the coupled analysis with the ground. The accuracy of the developed element was confirmed through the example analyses of the circular plate and the liquid storage tank. And the energy balance equation for the axisymmetric shell element is presented.

Design of Cam Contour for Constant Hangers (등하중지지대의 캠 윤곽 설계)

  • Lee, Gun-Myung;Park, Mun-Soo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.35 no.6
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    • pp.669-675
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    • 2011
  • A constant hanger is a device for supporting pipes in plants. It supplies a constant force to a supporting pipe even if the pipe moves because of thermal expansion. In this paper, we propose a method for designing the contour of a cam for a constant hanger. It has been shown that the contour of a cam must satisfy the geometrical relation of the cam, the force balance equation for the load tube, the relation between the side spring compression and the cam rotation angle, and the moment balance equation for the cam. A calculation procedure to solve these equations simultaneously is proposed, and a constant hanger is designed successfully.

Shear Angle Variation Depending on Chip-Tool Friction in Orthogonal Cutting (二次元 切削時 칩-工具 마찰상태에 따른 剪斷角 변화)

  • 이영문;송지복
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.12 no.2
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    • pp.252-261
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    • 1988
  • Through the careful interpretation of the results of the cutting tests carried out in this study, it is found that under the cutting conditions when the internal shear of the chips take place the cutting can be treated essentially as a steady state problem. A new shear angle equation has been developed employing the conditions of force and moment equilibrium about the tool edge and the stress distribution model suggested by Zorev.The equation contains the chip-tool contact length C and stress distribution index n as important parameters.

Time-Dependent Differential Equation of PSC Flexural Member with Constant Eccentricity (직선배치 긴장재를 갖는 PSC 휨 부재의 시간종속적 지배미분방정식)

  • 강병수;김택중;조용덕;이용학
    • Proceedings of the Korea Concrete Institute Conference
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    • 2002.05a
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    • pp.303-308
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    • 2002
  • A governing differential equation (GDE) of PSC flexural member with constant eccentricity considering the long-term losses including concrete creep, shrinkage, and PS steel relaxation is derived based on the two approaches. The first approach utilizes the force and moment equilibrium equations derived based on the geometry of strains of the uniform and curvature strains while the second one utilizes the principle of minimum total potential energy formulation. The identity of the two GDE's is verified by comparing the coefficients consisting of the GDE's. The boundary conditions resulting from the functional analysis of the variational calculus are investigated. Rayleigh-Ritz method provides a way to get the explicit form of the continuous deflection function in which the total potential energy is minimized with respect to the unknown coefficients consisting of the trial functions. As a closure, the analytically calculated results are compared with the experiments and show good agreements.

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Effects of Specimen Depth on Flexural Compressive Strength of Concrete (콘크리트의 휨압축강도에 미치는 부재깊이의 영향)

  • Yi, Seong-Tae;Kim, Jin-Keun;Lee, Yun;Kim, Jang-Ho;Yang, Eun-Ik
    • Proceedings of the Korea Concrete Institute Conference
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    • 2000.10a
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    • pp.115-120
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    • 2000
  • Currently, in evaluating a flexural strength of a concrete member, the effect of specimen depth has not been systematically studied, even though its effect on ultimate strength of a section is very important. For all types of loading conditions, the trend is that the strength of a member tends to decrease when the member depth increases. In this study, the influence of specimen depth on flexural compressive strength of concrete member was examined experimentally. A series of C-shaped specimens subjected to axial compressive force and bending moment were tested using three geometrically similar specimens with different length-to-depth ratios(h/c=1, 2 and 4) which have compressive strength of 55MPa. The results indicate that the flexural compressive strength decreased as the specimen depth increased. A model equation was derived based on regression analyses of the experimental data. Also the results show that ultimate strain decreases as the specimen depth increases. Finally, a general model equation for the depth effect is proposed.

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Exact Solutions for Bending Vibration of Beam with Linearly Reduced width Along Its Length (길이를 따라 선형적으로 감소된 폭을 가지는 보의 굽힘 진동에 대한 정확해)

  • Lee, Jung Woo;Kim, Jung Ho;Lee, Jung Youn
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.25 no.6
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    • pp.420-425
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    • 2015
  • In this paper a transfer matrix method is developed to solve for bending vibration of beam with linearly reduced width, and subsequently used to determine the exact natural frequencies for such problems. The differential equation, shear force, and bending moment are derived from Hamilton's principle, and the roots of the differential equation are computed using the power series solution of the Frobenius method. The effect of various taper ratio for bending vibration of beam with linearly reduced width is investigated in detail, and to validate the accuracy of the proposed method the results computed are compared with those given from commercial software(ANSYS).

Effects of Specimen Depth on Flexural Compressive Strength of Concrete (부재의 깊이가 콘크리트의 휨압축강도에 미치는 영향)

  • 이성태;김진근;김장호
    • Journal of the Korea Concrete Institute
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    • v.12 no.5
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    • pp.121-130
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    • 2000
  • Currently, in evaluating a flexural strength of a concrete member, the effect of specimen depth has not been systematically studied, even though its effect on ultimate strength of a section is very important. For all types of loading conditions, the trend is that the strength of a member tends to decrease when the member depth increases. In this study, the influence of specimen depth on flexural compressive strength of concrete member was examined experimentally. A series of C-shaped specimens subjected to axial compressive force and bending moment were tested using three geometrically similar specimens with different length-to depth ratios (h/c = 1, 2 and 4) which have compressive strength of 55 MPa. The results indicate that the flexural compressive strength decreased as the specimen depth increased. A model equation was derived based on regression analyses of the experimental data. Also, the results show that ultimate strain decreases as the specimen depth increases. Finally, a general model equation for the depth effect is proposed.

FLOW CHARACTERISTICS AROUND A RUDDER IN OPEN LATER CONDITION (단독 타 주위의 유동 특성에 대한 연구)

  • Choi, J.E.;Kim, J.H.
    • Journal of computational fluids engineering
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    • v.13 no.1
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    • pp.14-20
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    • 2008
  • The flow characteristics around a rudder in open water condition is analyzed by the computational method. Reynolds averaged Navier-Stoke's equation is utilized for the computation. The computational hydrodynamic force coefficients are verified through comparing with the experimental results. The information of these flow characteristics is necessary to predict cavitation and maneuvering performances, to estimate steering gear capacitance, and to get the bending moment which is useful for the structural analysis. The pressure distribution, the three-dimensional flow separation, and the tip vortices are investigated. The pattern of the three-dimensional flow separation is analyzed utilizing a topological rule. The tip vortices are also investigated through a visualization technique.