• Title/Summary/Keyword: 운동 방정식

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Vibration Analysis of a Bogie Using Linearized Dynamic Equations of a Multibody System (다물체계의 선형 동역학식을 이용한 대차의 진동 해석)

  • Kang, Juseok
    • Journal of the Korean Society for Railway
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    • v.17 no.5
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    • pp.321-327
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    • 2014
  • In this paper, linear dynamic equations are derived from nonlinear dynamic equations of constrained multibody systems using the QR decomposition method. The derived linear equations are applied to a railway vehicle bogie. The vibration characteristics of the railway vehicle are investigated by calculating the natural mode and transfer function of the bogie frame in relation to rail-roughness input. The main modes of the bogie were found below 35Hz, and the local modes above 198Hz. The magnitude of the vertical transfer function varied with the forward velocity due to vertical and pitch modes, which were influenced by the forward velocity. The magnitude of the lateral transfer function was negligibly small, and the mode in the longitudinal direction was excited for longitudinal transfer function regardless of the forward velocity.

Reducing Ship Rolling with a Anti-Rolling Pendulum (안티롤링 진자를 이용한 부유체의 횡동요 저감)

  • Park, Sok-Chu;Yi, Geum-Joo;Park, Kyung-Il
    • Journal of Navigation and Port Research
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    • v.40 no.6
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    • pp.361-368
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    • 2016
  • A ship's rolling motion can make crew and passengers sick and/or apply forces to the structure that cause damage.. Therefore bilge keels are equipped in most ships for anti-rolling. In special cases, anti-rolling tanks (ARTs), fin stabilizers, or gyroscopes can be installed. However, ARTs require a large area to install, and fin stabilizers and gyroscopes are costly to install and expensive to operate. This paper suggests a Anti-rolling pendulum (ARP) to reduce roll motion. ARPs acts like ARTs. However, the ARP has a circular shaped guidance arc instead of the string or wire of a simple pendulum. The device suggested has about 1/ 8 the weight and 1/ 6 the volume of a ART and is more effective. This study derives the nonlinear and linear differential equations of system motion.

Application of Vector Scalar Product to Solve the Kinematic Equations in the Earth's Gravitational Field (지구 중력장 내에서 성립하는 운동 상태 방정식의 해를 구하기 위한 벡터의 스칼라 프로덕트 응용)

  • Um, Kee-Hong
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.17 no.6
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    • pp.217-222
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    • 2017
  • Any object located in the earth's gravitational field experiences a force in the direction of the center of the earth. In order to describe the motion of objects in the field, the solutions to a system of simultaneous vector kinematic equations need to be obtained. In the analysis of freely-falling objects, the reference direction +y is usually defined to be the downward direction. In the analysis of the motion of objects thrown upward, the reference direction +y is usually defined to be the upward direction. In the analysis of the motion of objects thrown downward, the reference direction +y is usually defined to be the downward direction. In this paper, we show that the choice of reference axis in either upward or direction gives the same results by adopting a scalar product of two vectors in solving the vector kinematic equations. It is rare to find other examples of using a scalar product of two vectors in solving vector kinematic equations describing the motion of objects. An application of this study is that we can arbitrarily choose the reference direction for objects moving in a horizontal direction, including projectile motions.

A Model for Simplified 3-dimensional Analysis of High-speed Train Vehicle (TGV)-Bridge Interactions (고속철도차량(TGV)-교량 상호작용의 단순화된 3차원 해석모델)

  • 최창근;송명관;양신추
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.13 no.2
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    • pp.165-178
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    • 2000
  • The simplified model for 3-dimensional analysis of vehicle-bridge interactions is presented in this study. By using the analysis model which includes the eccentricity of axle loads and the effect of the torsional forces acting on the bridge, the more accurate analysis results of the behavior of the bridge can be obtained. The equations of kinetic energy, potential energy and damping energy are expressed by degrees of freedom of the vehicle and the bridge. And then by applying Lagrange's equations of motion, the equations of motion of the vehicle and the bridge are obtained. By deriving the equations of forces acting on the bridge considering the vehicle-bridge vertical interactions and also by identifying the position of vehicle as time goes by, mass matrix, stiffness matrix, damping matrix and load vector of vehicle-bridge system are constructed in accordance with the position of vehicles. Then using Newmark's β-method(average acceleration), the equations of motion for the total vehicle bridge system are solved.

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A Constitutive Equation Including Strain Rate Effect for the Expanded Polypropylene (변형률 속도가 고려된 발포 폴리프로필렌의 구성방정식)

  • Kim, Han-Kook;Cheon, Seong S.
    • Composites Research
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    • v.27 no.4
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    • pp.130-134
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    • 2014
  • The purpose of this paper is to build DB in order to Propose new constitutive equations by redefining constitutive equations for Polyurethane presented by Jeong et al. [12] based on Quasi-static test and Impact test DB of Expanded polypropylene using cylindrical specimens with 4 different densities presentsd by Kim et al. [7] for EPP foam and combining the impulse-momentum theory.

Random Analysis of Rolling Equation of Motion of Ships Based on Moment Equation Method (모멘트 방정식 방법에 의한 횡요 운동 방정식의 램덤 해석)

  • 배준홍;권순홍;하동대
    • Journal of Ocean Engineering and Technology
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    • v.6 no.2
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    • pp.41-45
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    • 1992
  • In this paper an application technique of moment equation method to solution of nonlinear rolling equation of motion of ships is investigated. The exciting moment in the equation of rolling motion of ships is described as non-white noise. This non-white exciting moment is generated through use of a shaping filter. These coupled equations are used to generate moment equations. The nonstationary responses of the nonlinear system are obtained. The results are compared with those of a linear system.

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A Two-dimensional Turbulence Model for the Thermal Discharge into Crossflow Field (가로흐름 수성으로 방출되는 2차원 온배수 난류모형)

  • Choi, Hung-Sik;Jung, Kyung-Tae;So, Jae-Kwi;Lee, Kil-Seong
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.5 no.2
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    • pp.91-98
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    • 1993
  • A two-dimensional turbulence model for the surface discharge of heated water into cross-flow field has been developed. The depth-averaged continuity, momentum and temperature equations, are solved by an efficient finite-difference procedure known as SIMPLE. Turbulent stresses and heat fluxes are determined from a depth-averaged version of the $textsc{k}$-$\varepsilon$ equation. Results of test run clearly demonstrate its effectiveness in handling strong turbulent phenomena in very shallow near-field region.

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Electronic and mechanical engineering division (다물체 시스템을 위한 민감도 해석)

  • Lee, Jong-nyun;Park, Soo-hong
    • Journal of the Korean Society for Precision Engineering
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    • v.14 no.3
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    • pp.50-56
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    • 1997
  • 본 논문은 다물체동역학에서의 민감도해석을 위하여 개발된 혼합법(Mixed method)을 보여준다. 이 방법은 해석적인 미분의 유도와 수치적인 미분의 장점을 함께 사용한다. 해석적인 유도는 기본적인 전체의 미분에서 사용 되며 여기서 나온 각 세부 미분항은 수치적인 미분방법에 의존한다. 이로인하여 세부미분항을 다물체의 운동방정식 에서 유도할 때 발생하는 어려움을 제거한다. 여기서 사용되는 운동 방정식은 Joint Coordinate 방정식을 사용하며, 이 방정식의 계산시간과 정확도에 의해 민감도해석에서도 정확도와 계산시간의 효율을 향상시킬 수 있게 된다. 예제로서 자동차 Suspension 시스템의 승차감을 최적화하기 위한 민감도 해석을 수행하였으며, 여기서 혼합법이 차등미분법과 상응한 결과를 보였다.

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Forced Convection Condensation of Vapor on A Cold Water (강제 대류에서 수증기의 찬물 표면에서의 응축)

  • Park, Jae-Koel;Lee, Sung-Hong
    • The Magazine of the Society of Air-Conditioning and Refrigerating Engineers of Korea
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    • v.13 no.3
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    • pp.141-147
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    • 1984
  • 2차원 채널 입구에서의 꿰떼 난류 유동하는 찬 물 위를, 같은 방향으로 빠르게 난류 유동하는 수증기의 응축은 액체필름 초기상태의 과냉 정도에 의하여서 응축능력이 정하여진다. 수증기와 액체의 채널 입구에서의 균일한 속도 및 온도, 그리고 채널 입구에서 액체와 증기가 차지하는 체적비, 즉 액체필름과 채널 높이를 알고 있을 때, 하류로 유동하면서 응축이 일어나는 현상을 예측하는 모델을 제안하고, 실험치와 비교한 것이다. 채널 입구에서 윗쪽으로는 더운 기체, 아래쪽으로는 찬 액체가 평행한 방향으로 유동하면서 접촉하고 평균적인 액체필름의 두께와 단열된 채널 벽체를 가정하여서, 기본방정식으로 연속방정식, 운동방정식을 세우고. 에너지와 운동량 전달 메카니즘 사이에 유사성이 존재한다고 가정하였으며, 전단응력의 크기는 필자의 모델을 적용하였다. 기본방정식을 기체 속도, 액체 속도, 필름의 두께, 압력에 대해서 수치해를 구하여서 동일조건 하에서 실험한 데이터와 비교하였다. 수증기와 액체 경계면에서의 전단응력은 매우 좋은 일치를 보여주고 있다.

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Slow Drift Motion Analyses for a FPSO with Spread Mooring Systems (다점 계류된 원유 저장선에 대한 저주파수 운동 해석)

  • 이호영;박종환;곽영기
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.13 no.3
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    • pp.195-201
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    • 2001
  • The time simulation of slow drift motions of moored FPSO in waves is presented. The equation of motion based on Cummin's theory of impulse responses are employed, and are consisted of horizontal plane motions such as surge, sway and yaw. The added mass, wave damping coefficients, first order wave exciting forces and the second order wave drift forces involved in the equations are obtained from three-dimensional panel method in the frequency domain. The mooring lines are modeled as quasi-static catenary cable. As a numerical example, time domain analyses are carried out for a box-type FPSO in long crest irregular wave condition.

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