• Title/Summary/Keyword: 직선의 방정식

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An Experimental Approach to the Linear Actuator with a Finite Difference Equation on the Temperature Domain (온도 영역에 대한 선형 액추에이터의 실험적 고찰과 유한차분 방정식)

  • 김양호;손웅태;황석영
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.18 no.4
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    • pp.68-72
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    • 2004
  • In this paper, the energy conversion theory of the linear actuator deals with the temperature characteristic analysis with verifying temperature of linear Actuator system This model of linear actuator has winding part and mechanical spring, and a plunger. This paper proposed and experimented the linear Actuator(LA) by using finite difference equation(FDE). The experimental result represented the temperature T1 and T2 which remarks Tl is a center of magnetic road inside of actuator winding part, and T2 is a surface of actuator winding part. And the temperature characteristic of the actuator winding part are experimented by the digital temperature meter TECPEL 322.

Internal Generation of Waves on an Arc In A Rectangular Grid System (직사각형 격자체계에서의 원호형 내부조파)

  • Lee Chang-Hoon;Choi Hyuk-Jin;Kim Duk-Gu
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.18 no.1
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    • pp.1-14
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    • 2006
  • This paper presents the techniques developed using the line source method to internally generate waves on an arc in a rectangular grid system. For five different types of wave generation layouts, quantitative experiments were conducted under the following conditions: the propagation of waves on a flat bottom, the refraction and shoaling of waves on a planar slope, and the diffraction of waves to a semi-infinite breakwater. Numerical experiments were conducted using the extended mild-slope equations of Suh et al. (1997). The fifth type of wave generation layout, consisting of two parallel lines connected to a semicircle, showed the best solutions, especially for a small grid size.

Out-of-Plane Vibrations of Angled Pipes Conveying Fluid (내부유동을 포함한 굴곡된 파이프의 외평면 진동해석)

  • Pak, chol-Hui;Hong, Sung-Chul;Kim, Tae-Ryong
    • Nuclear Engineering and Technology
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    • v.23 no.3
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    • pp.306-315
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    • 1991
  • This paper considered the out-of-plane motion of the piping system conveying fluid through the elbow connecting two straight pipes. The extended Hamilton's principle is used to derive equations of motion. It is found that dynamic instability does not exist for the clamped-clamped, clamped-pinned and pinned-pinned boundary conditions. The frequency equations for each boundary conditions are solved numerically to find the natural frequencies. The effects of fluid velocity and Coriolis force on the natural frequencies of piping system are investigated. It is shown that buckling-type instability may occur at certain critical velocities and fluid pressures. Equivalent critical velocity, which is defined as a function of flow velocity and fluid pressure, are calculated for various boundary conditions.

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Microtopography Effects on Rainfall and Sediment Runoff in Arid and Semiarid Region (건조 및 반건조 지대의 미세지형이 강우 및 유사 유출 특성에 미치는 영향)

  • Kim, Soyoung;Jeong, Minyeob;Kim, Dae-Hong
    • Proceedings of the Korea Water Resources Association Conference
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    • 2021.06a
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    • pp.174-174
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    • 2021
  • 지표면에서 소규모의 요철로 이루어진 미세지형 (Micro Topography)은 자연 지형의 일반적인 특징이다. 지표면에서의 흐름해석 시 이러한 미세지형에 의한 효과를 정확히 고려하기 위해서는 고해상도의 지형격자를 사용하여야 하나, 대부분의 지표유출모델은 미세지형이 존재하지 않는 저해상도의 거친 표면으로 간주함으로써 바닥 마찰 효과를 증가시켜 미세지형에 의한 영향을 대략적으로만 반영한다. 본 연구에서는 보다 정확한 강우-유출 및 유사-유출 해석을 목적으로 고해상도의 지형격자를 사용하여 미세지형을 포함한 건조 및 반건조 지대에서의 흐름을 수치적으로 모의하였다. 미세지형의 형태는 마루와 골 사이가 직선으로 이루어진 파동의 형태로 이상화 하였으며, 파동의 진폭과 파장을 조절하여 다양한 형태의 미세지형을 고려하였다. 수치모형은 흐름의 움직임에 대한 Saint-Venant 방정식과 침식 및 유사이송에 대한 Hairsine-Rose 방정식을 함께 계산하는 통합모형인 tRIBS-FEaST를 사용하였다. 수치 모의 결과에서 나타난 미세지형의 핵심 영향은 최대 유량 및 유사량 도달시간의 지연, 유사 입자 크기별 유사-유출량 증감, 그리고 하천 유출(stream flow)의 생성이었다. 또한, 미세지형의 형태에 따라 미세지형과 강우-유출 및 유사-유출 사이에 비례 혹은 반비례 관계가 성립함을 보였다. 수치 모의 결과를 종합적으로 검토하여 미세지형이 강우-유출과 유사-유출에 미치는 영향에 대해 논의하였으며, 기존 Manning 거칠기 계수를 통한 해석 방법의 적부를 판단하였다.

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Buckling Loads and Post-Buckling Behaviors of Shear Deformable Columns with Regular Cross-Section (전단변형을 고려한 정다각형 단면 기둥의 좌굴하중 및 후좌굴 거동)

  • Lee, Byeoung Koo;Lee, Tae Eun;Kwon, Yun Sil;Kim, Sun Gi
    • Journal of Korean Society of Steel Construction
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    • v.13 no.6
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    • pp.683-691
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    • 2001
  • Numerical methods are developed for solving the elastica and buckling load of tapered columns with shear deformation, subjected to a compressive end load. The linear, parabolic and sinusoidal tapers with the regular polygon cross-sections are considered, whose material volume and span length are always held constant. The differential equations governing the elastica of buckled column are derived. The Runge-Kutta method is used to integrate the differential equations, and the Regula-Falsi method is used to determine the rotation at left end and the buckling load, respectively. The numerical methods developed herein for computing the elastica and the buckling loads of the columns are found to be efficient and reliable.

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Exact Dynamic Stiffness Matrix of Nonsymmetric Thin-walled Beams Subjected to Eccentrically Axial Forces (편심축하중을 받는 비대칭 박벽보의 엄밀한 동적강도행렬)

  • Kim, Moon Young;Yun, Hee Taek
    • Journal of Korean Society of Steel Construction
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    • v.13 no.6
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    • pp.703-713
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    • 2001
  • Derivation procedures of exact dynamic stiffness matrices of thin-walled straight beams subjected to eccentrically axial forces are rigorously presented for the spatial free vibration analysis. An exact dynamic stiffness matrix is established from governing equations for a uniform beam element with nonsymmetric thin-walled cross section. First this numerical technique is accomplished via a generalized linear eigenvalue problem by introducing 14 displacement parameters and a system of linear algebraic equations with complex matrices. Thus, the displacement functions of displacement parameters are exactly derived and finally exact stiffness matrices are determined using element force-displacement relationships. The natural frequencies of nonsymmetric thin-walled straight beams are evaluated and compared with analytical solutions or results by thin-walled beam element using the cubic Hermitian polynomials and ABAQU's shell elements in order to demonstrate the validity of this study.

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Improved Static Element Stiffness Matrix of Thin-Walled Beam-Column Elements (박벽보-기둥 요소의 개선된 정적 요소강성행렬)

  • Yun, Hee Taek;Kim, Nam Il;Kim, Moon Young;Gil, Heung Bae
    • Journal of Korean Society of Steel Construction
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    • v.14 no.4
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    • pp.509-518
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    • 2002
  • In order to perform the spatial buckling and static analysis of the nonsymmetric thin-walled beam-column element, improved exact static stiffness matrices were evaluated using equilibrium equation and force-deformation relationships. This numerical technique was obtained using a generalized linear eigenvalue problem, by introducing 14 displacement parameters and system of linear algebraic equations with complex matrices. Unlike the evaluation of dynamic stiffness matrices, some zero eigenvalues were included. Thus, displacement parameters related to these zero eigenvalues were assumed as polynomials, with their exact distributions determined using the identity condition. The exact displacement functions corresponding to three loadingcases for initial stress-resultants were then derived, by consistently combining zero and nonzero eigenvalues and corresponding eigenvectors. Finally, exact static stiffness matrices were determined by applying member force-displacement relationships to these displacement functions. The buckling loads and displacement of thin-walled beam were evaluated and compared with analytic solutions and results using ABAQUS' shell element or straight beam element.

Experimental and Theoretical Consideration for Flow Rate, Pressure Drop, and Permeate Flow in a Hollow Fiber Membrane (중공사 막을 따라 흐르는 순수한 물의 유량, 압력손실, 투과수에 대한 실험과 이론적 고찰)

  • Lee, Jung-Muk;Lee, Bomsock
    • Membrane Journal
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    • v.22 no.6
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    • pp.470-480
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    • 2012
  • In this study, for a linear tubular membrane with constant diameter the mass balance considering permeate velocity of the each unit length was established. On this basis, mathematical modelling of flows in a pipe was solved using nonlinear second order differential equations as well as steady-state equation. Since this equation is nonlinear, Gauss-Seidel method or another iteration method were used to solve the differential equations. Simulation algorithm for numerical solutions was presented. Also since the permeate flow is varied as operating condition, the solution of equations at each conditions using numerical integrations such as Simpson's rules was used. In order to analyze and compare simulation results, we have performed experiments using a hollow fiber membrane with almost identical tubular membrane. Comparison of theoretical and experimental results, pressure drop, flow rate, and permeate flow in a hollow fiber membrane, were illustrated.

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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Corrections to the conventional equations of motion of a wheel-axle set on a tangent track (직선 선로상 차륜-윤축에 대한 기존운동방정식의 수정)

  • Choi, Sung-Kyou
    • Proceedings of the KSR Conference
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    • 2007.11a
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    • pp.927-939
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    • 2007
  • This paper concerns dynamics of a wheel-axle set on a tangent track which was already published in a book titled "Dynamics of Railway Vehicle Systems" authored by Garg and Dukkipati [1], pointing out several missing terms and erroneous parts in the derived expressions on the conventional governing equations of motion. It is indicated that the x-direction components of normal forces at left and right wheel-rail contact points in the equilibrium axis were missed. Another point is that in deriving the creepages the disturbed velocity components in both x and y directions in the equilibrium axis should not be disregarded in the first term of the numerators. When considering the creepage in the y direction in the body coordinate system, the second term of lateral velocity at the contact point also cannot be neglected. Besides, the hyper-assumptions in the final expressions of vertical components of normal forces at left and right wheel-rail contact points have been recovered in reaching the final stage of analytical model development. Finally it is noteworthy that the process of applying creep theory is deemed to contain a little bit inconsistencies and ambiguities to be clear.

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