• Title/Summary/Keyword: 비선형운동방정식

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A Nonlinear Finite Element Formulation for Very Large Deformation based on Updated Material Reference Frame (변화되는 재료의 기준 물성치에 근거한 매우 큰 변화에 대한 비선형 유한요소의 정식화)

  • Yun, Young Muk;Park, Moon Ho
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.12 no.3
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    • pp.25-37
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    • 1992
  • A nonlinear finite element formulation which has the capability of handling very large geometrical changes is presented. The formulation is based on an updated material reference frame and hence true stress-strain test can be directly applied to properly characterize properties of materials which are subjected to very large deformation. For the large deformation, a consistent formulation based on the continuum mechanics approach is derived. The kinematics is referred to an updated material frame. Body equilibrium is also established in an updated geometry and the second Piola-Kirchhoff stress and the updated Lagrangian strain tensor are used in the formulation. Numerical examples for very large deformation of framed structures and plane solids are analyzed for verification purposes. The numerical solutions are obtained by an incremental numerical procedure. The importance of handing material properties properly is also demonstrated.

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Analysis of Dynamic Instability Characteristic of EP Shell Structures under Sinusoidal Excitations (정현파 하중을 받는 EP(Elliptic Paraboliodal)쉘 구조물의 동적 불안정 특성 분석)

  • Kim, Seung-Deog;Kim, Doo-Ri
    • Journal of Korean Association for Spatial Structures
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    • v.10 no.1
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    • pp.127-134
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    • 2010
  • The dynamic instability for snapping phenomena has been studied by many researchers. Few paper deal with the dynamic bucking under the load with periodic characteristics, and the behavior under periodic excitation is expected the different behavior against STEP excitation. We investigate the fundamental mechanisms of dynamic instability when shallow EP(Elliptic Paraboliodal) shell of two degree of freedom are subjected to sinusoidal excitation with direct snapping and indirect snapping. By using Newmark-$\beta$ method, we can get the nonlinear response, and characteristics of the dynamic instability through the running response spectrum by FFT(fast Fourier Transform) and attractors are compared in the phase plane. Dynamic buckling loads are strongly influenced by the relationships between the natural frequency of structures and the dominant frequency of incident excitations.

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Electrokinetically Flow-Induced Streaming Potential Across the Charged Membrane Micropores: for the Case of Nonlinear Poisson-Boltzmann Electric Field (하전된 멤브레인 미세기공에서의 계면동전기적 유동에 의한 흐름전위: 비선형 Poisson-Boltzmann 전기장을 갖는 경우)

  • Myung-Suk Chun
    • Membrane Journal
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    • v.13 no.1
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    • pp.37-46
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    • 2003
  • The electrokinetic effect can be found in cases of the fluid flowing across the charged membrane micropores. The externally applied body force originated from the electrostatic interaction between the nonlinear Poisson-Boltzmann field and the flow-induced electrical field is taken into the equation of motion. The electrostatic potential profile is computed a priori by applying the finite difference scheme, and an analytical solution to the Navier-Stokes equation of motion for slit-like pore is obtained via the Green's function. An explicit analytical expression for the flow-induced streaming potential is derived as functions of relevant physicochemical parameters. The influences of the electric double layer, the surface potential of the wall, and the charge condition of the pore wall upon the velocity profile as well as the streaming potential are examined. With increasing of either the electric double layer thickness or the surface potential, the average fluid velocity is entirely reduced, while the streaming potential increases.

Simulation of Time-Delay Based Path-Tracking Control of Reusable Launch Vehicle (시간지연기법을 적용한 재사용발사체 유도제어 시뮬레이션)

  • Cho, Woosung;Lee, HyeongJin;Lee, Yeol;Ko, Sangho
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.49 no.8
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    • pp.627-636
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    • 2021
  • This paper deals with a study for the guidance control of reusable launch vehicle. For this purpose, modeling of the equation of motion of a reusable launch vehicle with 6 degrees of freedom was performed. With this model, an optimal re-entry path was created and a path-following guidance control simulation was performed to follow the optimal re-entry path. For the design of the path-following guidance controller, the attitude controller applying a time-delay technique that is resistant to modeling uncertainty, disturbance and failure. And the nonlinear path-following guidance law were used. Guidance control simulation using a classical PD controller was performed and compared with the guidance control simulation of a reusable launch vehicle applying a time delay technique.

Design Parameter Identification Using Transfer Function of Liquid Column Vibration Absorber (LCVA) (전달함수를 이용한 LCVA의 설계변수 분석)

  • Lee, Sung-Kyung;Min, Kyung-Won;Chung, Hee-San
    • Journal of the Earthquake Engineering Society of Korea
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    • v.13 no.4
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    • pp.47-55
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    • 2009
  • The purpose of this study is to verify the transfer function of input acceleration and output control force by linearizing a velocity-dependent damping term of Liquid Column Vibration Absorber (LCVA). Analytical and experimental research is conducted to identify natural frequency, damping ratio and participated mass ratio of LCVA with various section ratios of vertical and horizontal areas. Findings obtained experimentally by the shaking table test are compared with analytical findings using optimization technique with constraints. The results indicate that the level of liquid and section ratio of LCVA affect the characteristics of damping ratio and mass ratio. Damping and mass ratio increase as the section of vertical column of LCVA decreases, due to turbulence in the elbow of LCVA.

Dynamics modeling and performance analysis for the underwater glider (수중 글라이더의 운동특성을 고려한 동역학 모델링 및 운동성능 해석)

  • Nam, Keon-Seok;Bae, Jae-Hyeon;Jeong, Sang-Ki;Lee, Shin-Je;Kim, Joon-Young
    • Journal of Advanced Marine Engineering and Technology
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    • v.39 no.7
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    • pp.709-715
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    • 2015
  • Underwater gliders do not typically have separate propellers for forward motion. They generate propulsive forces based on the difference between their buoyancy and gravity. They can control the volume from the buoyancy engine to adjust the propulsive force. In addition, the attitude of the underwater glider is controlled by a rubberless motion controller. The motion controller can change the mass center and moment of inertia of the inner moving mass. Owing to the change in these parameters, the attitude of the underwater glider is changed. In this study, we derive nonlinear, six degree of freedom (DOF) mathematical models for the motion controller and buoyancy engine. Using these equations, we perform dynamic simulations of the proposed underwater glider, and verify the suitability of the design and dynamic performances of the proposed underwater glider. We then perform the motion control simulation for the pitch and roll angle, and analyze the dynamic performance according to the pitch and roll angles.

Dynamic Analysis of Buried Pipelines with Manhole during a Soil Liquefaction Process (흙의 액화과정에 따른 맨홀이 있는 지하 매설관의 동적해석)

  • Shim, Jae Soo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.11 no.1
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    • pp.1-8
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    • 1991
  • Recently, researches for buried lifelines such as pipelines have been carried out to provide for safe design. On of the major causes to the damage of buried pipelines has been soil liquefaction. Analytical models have been presented to compare with the results from recent model experiment under a soil liquefaction environment induced by seismic shaking table. The analytical results were more than two times those those of experimental measurement. Thus the objective of this study is to introduce a rigorous nonlinear analysis of equation of motion with more realistic parameters which are dynamic soil and water pressure, dynamic subgrade reaction coefficient, and damping coefficient for soil liquefaction environment.

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IMPROVEMENT OF MPS METHOD IN SIMULATING VIOLENT FREE-SURFACE MOTION AND PREDICTING IMPACT-LOADS (유체 충격 하중 예측을 위한 MPS법의 개량)

  • Hwang, S.C.;Lee, B.H.;Park, J.C.
    • Journal of computational fluids engineering
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    • v.15 no.1
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    • pp.71-80
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    • 2010
  • The violent free-surface motions and the corresponding impact loads are numerically simulated by using the Moving Particle Semi-implicit (MPS) method, which was originally proposed by Koshizuka and Oka (1996) for incompressible flows. In the original MPS method, there were several shortcoming including non-optimal source term, gradient and collision models, and search of free-surface particles, which led to less-accurate fluid motions and non-physical pressure fluctuations. In the present study, how those defects can be remedied is illustrated by step-by-step improvements in respective processes of the revised MPS method. The improvement of each step is explained and numerically demonstrated. The numerical results are also compared with the experimental results of Martin and Moyce (1952) for dam-breaking problem. The current numerical results for violent free-surface motions and impact pressures are in good agreement with their experimental data.

An Estimation of Modeling Uncertainty for a Mechanical System in Actuators and Links in a Rigid Manipulator Using Control Theory (시스템 모델링의 불확실성 추정과 보상)

  • Park, Rai-Wung;Cho, Sul
    • 대한공업교육학회지
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    • v.34 no.2
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    • pp.396-410
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    • 2009
  • The goal of this work is to present an advanced method of an estimation of the Modeling Uncertainties coming up in industrial rigid robot's manipulator and actuators. First, with the given physical robot model, the motion equation was derived. Considering a fictitious model, a new extended motion equation is developed. Based on this extended model, an observer and observer bank are designed for the estimation of modeling uncertainties which are involving the effects of gravity, friction, mass unbalance, and Coriolis which show the nonlinear characteristics in operation states.

A Study on Behaviors of Pile Protective Structures by Simplified Collision Model (간이충돌모델을 이용한 파일형 선박충돌방호공의 충돌거동 연구)

  • Lee, Gye Hee
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.36 no.1
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    • pp.31-38
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    • 2016
  • In this paper, the deformation-energy curves of the plastic hinges and the vessel bow, which are the major energy dissipation mechanism of a pile protective structures, were estimated, and the parametric study was performed by using those curves to apply the simplified collision model which developed in the previous study. Considered parameters were the mass of slab, the number of piles, the mass of vessel and the collision speed. As results, the difference of energy dissipation mechanism of two pile types (filled and non-filled) were revealed, and the collision behaviors of the protective structures could be tuned by the control of the inertia mass of capping slab. Therefore the simplified collision model can be used in a primary design and optimal design.