• Title/Summary/Keyword: 비보존운동

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Dynamic Stability Analysis of Nonconservative Systems for Variable Parameters using FE Method (유한요소기법을 이용한 비보존력이 작용하는 보-기둥 구조의 다양한 제변수 변화에 따른 동적 안정성 해석)

  • Lee Jun-Seok;Min Byoung-Cheol;Kim Moon-Young
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.17 no.4
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    • pp.351-363
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    • 2004
  • Equation of motion of non conservative system considering mass matrix, elastic stiffness matrix, load correction stiffness matrix by circulatory force's direction change and Winkler and Pasternak foundation stiffness matrix is derived. Also stability analysis due to the divergence and flutter loads is performed. And the influence of internal and external damping coefficient on flutter load is investigated applying the quadratic eigen problem solution. Additionally the influence of non-conservative force's direction parameter, internal and external damping and Winkler and Pasternak foundation on the critical load of Beck's and Leipholz's and Hauger's columns are investigated.

Parametric Study on Dynamic Stability Behaviors of Beck's Column considering Shear Deformation and Damping Effects (전단변형 및 감쇠효과를 고려한 비보존력을 받는 외팔기둥의 동적 안정성거동에 대한 매개변수연구)

  • Lee, Jun-Seok;Kim, Nam-Il;Kim, Moon-Young
    • Journal of the Earthquake Engineering Society of Korea
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    • v.9 no.6 s.46
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    • pp.1-12
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    • 2005
  • For a shear-deformable beam-column element subjected io non-conservative forces, equations of motion and a finite element formulation are presented applying extended Hamilton's principle. The influence of non-conservative force's direction parameter, internal and external damping forces, and shear deformation and rotary inertia effects on divergence and flutter loads of Beck's columns are intensively investigated based on element stiffness, damping and mass matrixes derived for the non-conservative system.

The Dynamic Post-Buckling Analysis of the Non-Conservative System including Damping Effects (감쇠효과(減衰效果)를 고려한 비보존력계(非保存力系)의 동적(動的) 후좌굴(後挫屈) 해석(解析))

  • Kim, Moon Young;Chang, Sung Pil
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.10 no.3
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    • pp.67-75
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    • 1990
  • A geometrically nonlinear analysis procedure including the damping effects is presented for the investigation of the dynamic post-divergence and post-flutter behavior of a non-conservative system. The dynamic nonlinear analysis of plane frame structure subjected to conservative and non-conservative forces is carried out by solving the equations of motion using Newmark method. Numerical results are presented to demonstrate the effects of the internal and external damping forces in the conservative and non-conservative systems.

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The Stability Analysis of Non-Conservative System including Damping Effects (감쇠효과(減衰效果)를 고려한 비보존력계(非保存力系) 안정성(安定性) 해석(解析))

  • Kim, Moon Young;Chang, Sung Pil
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.10 no.3
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    • pp.57-65
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    • 1990
  • The finite element menthod for the investigation of the static and dynamic stability of the plane framed structures subjected to non-conservative forces is presented. By using the Hermitian polynomial as the shape function, the geometric stiffness matrix, the load correction stiffness matrix for non-conservative forces, and the matrix equation of internal and external damping are derived. Then, a matrix equation of the motion for the non-conservative system is formulated and the critical divergence and flutter loads are determined from this equation.

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Internal Stress, Anelasticity and Recovery in Steady State Creep of 2024 Al Alloy at High Temperature (2024 Al 합금의 고온 정상크리이프 중의 내부응력의 탄성 및 회복에 관한 연구)

  • 박경동;오세욱;강상훈
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.10 no.3
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    • pp.292-297
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    • 1986
  • Measurements of internal stress .sigma.$_{i}$, anelastic strain .epsilon.$_{A}$ and recovery rate .gamma. were made in steady state creep of 2024 Al alloys over a wide range of stresses at temperatures between 260.deg. C and 380.deg. C, for the purpose of investigating the relations among the three parameters. Values of .sigma.$_{i}$ were obtained by the method of strain transient dip test, and those of .epsilon.$_{A}$ and .gamma. were determined from the results of sudden stress removal or reduction tests. As a main result, it is thought that the anelastic behavior and recovery process are basically dependent on same deformation mechanisms.sms.sms.

Chaotic Behavior of a Double Pendulum Subjected to Follower Force (종동력을 받는 이중진자의 혼돈운동 연구)

  • 장안배;이재영
    • Journal of KSNVE
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    • v.7 no.3
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    • pp.439-447
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    • 1997
  • In this study, the dynamic instabilities of a nonlinear elastic system subjected to follower forces are investigated. The two-degree-of-freedom double pendulum model with nonlinear geometry, cubic spring, and linear viscous damping is used for the study. The constant, the initial impact forces acting at the end of the model are considered. The chaotic nature of the system is identified using the standard methods, such as time histories, power density spectrum, and Poincare maps. The responses are chaotic and unpredictable due to the sensitivity to initial conditions. The sensitivities to parameters, such as geometric initial imperfections, magnitude of follower force, direction control constant, and viscous damping, etc., are analysed. Dynamic buckling loads are computed for various parameters, where the loads are changed drastically for the small change of parameters.

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Analysis of Pollutant tranport in the natural river using FVM (유한체적법을 이용한 하천 오염물의 이송해석)

  • Park, Jae Hong
    • Proceedings of the Korea Water Resources Association Conference
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    • 2020.06a
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    • pp.207-207
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    • 2020
  • 하천으로 유입된 오염물질의 거동을 정확하게 예측하는 것은 하천 시스템의 수질 유지관리에 매우 중요하다. 본 연구에서는 1차 감쇠율(decay rate)을 가진 비보존성 오염물의 비정상 이송해석 방정식의 해를 위해 유한체적기법이 개발되어졌다. 하천 흐름 해석을 위해 자연형 단면에서의 마름-젖음 해석이 가능한 기법이 도입되었다. 이 기법은 2차-정도의 정확성와 Courant 수가 1 까지 안정함을 보장한다. 도입된 기법은 Godnov 형의 유한체적기법을 이용하여 St. Venant 방정식들을 해석하였고 질량 및 운동량 플럭스는 Roe 형의 Riemann Solver 를 사용하여 연산하였다. 오염물의 이송 해석은 추가적인 이송-확산 방정식을 도입을 통해 기존의 St. Venant 방정식과 함께 풀려질 수 있다. 추가된 방정식과 St. Venant 식은 3×3 eigenstructure를 구성하였고 이는 2차원 흐름해석 기법과 유사하게 해석될 수 있었다. 본 연구 모형의 검증을 위해 오염물의 계속적 주입을 가정한 가상 및 실제 하천에 적용되었다. 연구된 기법은 모든 적용에서 합리적 정확도를 가지고 오염물질의 연속적인 특성을 잘 모의하고 있었다.

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Modeling of Transverse Mixing in Natural Streams Using 2-D Random-Walk Model (2차원 Random-Walk 모형을 이용한 자연하천의 횡확산 해석)

  • Seo, Il-Won;Cheong, Tae-Sung
    • Journal of Korea Water Resources Association
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    • v.32 no.1
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    • pp.61-70
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    • 1999
  • The two-dimensional Random-Walk model in which fluid and pollutant particles are tracked using statistical concept was developed to simulate dispersion processes in natural streams. The calibration of the model shows that the error decreases as the number of grid increases, and/or the number of particles in each grid increases. The proposed model is tested against the dispersion data collected in the Grand River, Canada. The simulation results show that the 2-D Random-Walk model describes two-dimensional mixing phenomena occurred in the irregular meandering stream very accurately.

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Influence of Spring Constant at Fixed End on Stability of Beck's Column with Tip Mass (固定端 의 스프링 상수 가 末端質量을 가진 Beck′s Column 의 安定性 에 미치는 영향)

  • 윤한익;김광식
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.9 no.5
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    • pp.606-612
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    • 1985
  • On the stability of the Beck's column with a tip mass, the influence of the characteristics of the springs at the fixed end of the column are studied. The equations of motion and boundary conditions of this system are established by using the Hamiton's principle. On the evaluation of the stability of the column, t he effect of the shear deformation and rotatory inertial is considered in calculation. For the maintenance of the stability of the column, it is proved that the constant of the translational spring at the fixed end must be very large while th magnitude of the constant of the rotational spring at the fixed end has no effect. When the constants of the springs at the fixed end are small, it is also proved that the influence of the moment of inertial of the tip mass on the stability of the column are decreased and for the translational spring the degree of the decrease is more and more. Therefore it is found that the characteristics of the springs at the fixed end are very effective elements for the stability of the column when the columns subjected to a compressive follower force are designed.

A Study on the Prediction of Water-Temperature near the Confluence of Banbyeoncheon by Using the KU-RLMS Model (KU-RUMS 모형을 이용한 반변천 합류부 수온 예측에 관한 연구 KU-RLMS)

  • Lee, Yong-Chin;Lee, Nam-Joo;Lyu, Si-Wan;Yeo, Hong-Koo
    • Proceedings of the Korea Water Resources Association Conference
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    • 2007.05a
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    • pp.1219-1223
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    • 2007
  • 수온은 수계에서 가장 중요한 물리적 특성 중 하나로서, 생물 군집, 특히 어류와 무척추 동물에 관련된 많은 수질 인자에 영향을 미친다. 하천의 생태학적 모습을 개선하기 위한 하천 복원 사업 수행에 있어서, 서식처 및 산란처 조건으로서의 수온 조사 및 모델링의 필요성이 점차 증가하고 있는 상황이다. 본 연구는 낙동강의 중상류에 위치한 반변천 합류부에 평면 이차원 비정상 수치모형인 KU-RLMS 모형을 적용하여 수온의 변화 특성을 규명할 목적으로 수행하였다. KU-RLMS 모형은 하천 및 저수지의 국부적인 수리, 수질, 유사이동 해석을 위해 개발된 평면 이차원 비정상 수치모형이다. 직사각형 격자를 사용하는 유한차분법의 단점을 보완하기 위해, 수심적분된 2차원 연속방정식, 운동량방정식, 이송확산방정식을 불규칙한 경계를 현실적으로 모사할 수 있는 직교곡선 좌표계로 변환한 방정식을 사용한다. 이 모형은 흐름, 농도, 지형변화를 조합하여 계산할 수 있는 모형으로서 점착성 및 비점착성 유사의 이동, 보존성 및 비보존성 오염물질의 이동, 수온 변화를 모의할 수 있다. 수치모형 적용을 위한 현황분석으로 안동 및 임하 조정지댐의 방류량, 안동 수위관측소의 수위, 법흥교 및 포진교 지점의 수온 자료를 분석하였다. 이송확산모형의 보정을 위해, 안동대교 지점의 수온 횡분포 측정자료를 사용하여 확산계수에 대한 매개변수 추정 및 검증을 수행하였다. 또한, 안동조정지댐과 임하조정지댐의 방류량 및 방류수온을 고려하여 수치모의조건을 결정하였으며, 각 조건에 대한 수온 변화 특성을 분석하였다.

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