• Title/Summary/Keyword: Self-equilibrium state

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Dynamic Nonlinear Analysis of Marine Cables Under Wave Force and Earthquake Force (파랑하중 및 지진하중을 받는 해양케이블의 동적 비선형 해석)

  • 김문영
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 1999.04a
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    • pp.292-299
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    • 1999
  • In order to investigate dynamic behaviors of marine cables under wave and earthquake forces a geometric nonlinear. F, E formulation of marine cables is presented and tangent stiffness and mass matrices for the isoparametric cable element are derived, The initial equilibrium state of cables subjected to self -weights and current forces is determined and free vibration and dynamic nonlinear analysis of cable structures under additional environmental loads are performed based on the initial configuration Challenging examples are presented and discussed in order to demonstrate the feasibility of the present finite element method and investigate dynamic nonlinear behaviors of marine cables.

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Three-Dimensional Simulations of the Jeans-Parker Instability

  • LEE SANG MIN;HONG SEUNG SOO;KIM AND JONGSOO
    • Journal of The Korean Astronomical Society
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    • v.34 no.4
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    • pp.285-287
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    • 2001
  • We have studied the nonlinear evolution of a magnetized disk of isothermal gas, which is sustained by its self-gravity. Our objective is to investigate how the Jeans, Parker, and convective instabilities compete with each other in structuring/de-structuring large scale condensations in such disk. The Poisson equation for the self-gravity has been solved with a fourth-order accurate Fourier method along with the Green function, and the MHD part has been handled by an isothermal TVD code. When large wavelength perturbations are applied, the combined action of the Jeans and Parker instabilities suppresses the development of the convection and forms a dense core of prolate shape in the mid-plane. Peripheral structures around it are filamentary. The low density filaments connect the dense core to the diffuse upper region. On the other hand, when small wavelength perturbations are applied, the disk develops into an equilibrium state which is reminiscent of the Mouschovias's 2-D non-linear equilibrium of the classical Parker instability under an externally given gravity.

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Free Vibrations of Ocean Cables under Currents (조류력을 받는 해양케이블의 자유진동해석)

  • 김문영;김남일;윤종윤
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.11 no.4
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    • pp.231-237
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    • 1999
  • A geometric non-linear finite element formulation of spatial ocean cable under currents is presented using multiple noded curved cable elements. Tangent stiffness and mass matrices for the isoparametric cable ele¬ment are derived and the initial equilibrium state of ocean cable subjected to self-weights, buoyancy, and current as well as support motions is determined using the load incremental method. Free vibration analysis of ocean cables is performed based on the initial equilibrium configuration. Numerical examples are presented and discussed in order to demonstrate the feasibility of the present finite element method and investigate dynamic characteristics of ocean cables.

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Improved Speed of Convergence in Self-Organizing Map using Dynamic Approximate Curve (동적 근사곡선을 이용한 자기조직화 지도의 수렴속도 개선)

  • Kil, Min-Wook;Kim, Gui-Joung;Lee, Geuk
    • Journal of Korea Multimedia Society
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    • v.3 no.4
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    • pp.416-423
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    • 2000
  • The existing self-organizing feature map of Kohonen has weakpoint that need too much input patterns in order to converse into the learning rate and equilibrium state when it trains. Making up for the current weak point, B.Bavarian suggested the method of that distributed the learning rate such as Gaussian function. However, this method has also a disadvantage which can not achieve the right self-organizing. In this paper, we proposed the method of improving the convergence speed and the convergence rate of self-organizing feature map converting the Gaussian function into dynamic approximate curve used in when trains the self-organizing feature map.

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Benefits of Using Imperfect Information in Controlling an M/M/1 Queueing System

  • Nam, Ick-Hyun
    • Management Science and Financial Engineering
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    • v.1 no.1
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    • pp.1-19
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    • 1995
  • In this paper, we analyze an M / M / 1 queueing system where there are incentive conflicts among customers. Self-interested customers' decisions whether to join the system or not may not necessarily induce a socially optimal congestion level. As a way to alleviate the over-congestion, toll imposition was used in Naor's paper [3]. Instead of using a toll mechanism, we study the usefulness of imperfect information on system state (queue size, for example) as a way to reduce the over-congestion by self-interested customers. The main conclusion of this paper is that by purposefully giving fuzzy or imperfect information on the current queue size we can improve the congestion in the system. This result might look contradictory to rough intuition since perfect information should give better performance than imperfect information. We show how this idea is verified. In deriving this result, we use the concept of Nash equilibrium (pure and mixed strategy) as introduced in game theory. In some real situations, using imperfect information is easier to apply than imposing a toll, and thus the result of this paper has practical implications.

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Improved Rate of Convergence in Kohonen Network using Dynamic Gaussian Function (동적 가우시안 함수를 이용한 Kohonen 네트워크 수렴속도 개선)

  • Kil, Min-Wook;Lee, Geuk
    • Journal of the Korea Society of Computer and Information
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    • v.7 no.4
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    • pp.204-210
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    • 2002
  • The self-organizing feature map of Kohonen has disadvantage that needs too much input patterns in order to converge into the equilibrium state when it trains. In this paper we proposed the method of improving the convergence speed and rate of self-organizing feature map converting the interaction set into Dynamic Gaussian function. The proposed method Provides us with dynamic Properties that the deviation and width of Gaussian function used as an interaction function are narrowed in proportion to learning times and learning rates that varies according to topological position from the winner neuron. In this Paper. we proposed the method of improving the convergence rate and the degree of self-organizing feature map.

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PARKER-JEANS INSTABILITY IN THE GALACTIC GASEOUS DISK. I. LINEAR STABILITY ANALYSIS AND TWO-DIMENSIONAL MHD SIMULATIONS

  • LEE S. M.;KIM JONGSOO;FRANCO J.;HONG S. S.
    • Journal of The Korean Astronomical Society
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    • v.37 no.4
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    • pp.249-255
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    • 2004
  • Here we present a linear stability analysis and an MHD 2D model for the Parker-Jeans instability in the Galactic gaseous disk. The magnetic field is assumed parallel to a Galactic spiral arm, and the gaseous disk is modelled as a multi-component, magnetized, and isothermal gas layer. The model employs the observed vertical stratifications for the gas density and the gravitational acceleration in the Solar neighborhood, and the self-gravity of the gas is also included. By solving Poisson's equation for the gas density stratification, we determine the vertical acceleration due to self-gravity as a function of z. Subtracting it from the observed gravitational acceleration, we separate the total acceleration into self and external gravities. The linear stability analysis provides the corresponding dispersion relations. The time and length scales of the fastest growing mode of the Parker-Jeans instability are about 40 Myr and 3.3 kpc, respectively. In order to confirm the linear stability analysis, we have performed two-dimensional MHD simulations. These show that the Parker-Jeans instability under the self and external gravities evolves into a quasi-equilibrium state, creating condensations on the northern and southern sides of the plane, in an alternate manner.

A caving self-stabilization bearing structure of advancing cutting roof for gob-side entry retaining with hard roof stratum

  • Yang, Hongyun;Liu, Yanbao;Cao, Shugang;Pan, Ruikai;Wang, Hui;Li, Yong;Luo, Feng
    • Geomechanics and Engineering
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    • v.21 no.1
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    • pp.23-33
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    • 2020
  • An advancing cutting roof for gob-side entry retaining with no-pillar mining under specific geological conditions is more conducive to the safe and efficient production in a coalmine. This method is being promoted for use in a large number of coalmines because it has many advantages compared to the retaining method with an artificial filling wall as the gateway side filling body. In order to observe the inner structure of the gateway cutting roof and understand its stability mechanism, an equivalent material simulation experiment for a coalmine with complex geological conditions was carried out in this study. The results show that a "self-stabilization bearing structure" equilibrium model was found after the cutting roof caving when the cut line deviation angle was unequal to zero and the cut height was greater than the mining height, and the caving roof rock was hard without damage. The model showed that its stability was mainly controlled by two key blocks. Furthermore, in order to determine the optimal parameters of the cut height and the cut line deviation angle for the cutting roof of the retaining gateway, an in-depth analysis with theoretical mechanics and mine rock mechanics of the model was performed, and the relationship between the roof balance control force and the cut height and cut line deviation angle was solved. It was found that the selection of the values of the cut height and the cut line deviation angle had to conform to a certain principle that it should not only utilize the support force provided by the coal wall and the contact surface of the two key blocks but also prevent the failure of the coal wall and the contact surface.

Shape Finding of Bio-Tensegrity Structural System (바이오텐세그리티 구조 시스템의 형상 결정)

  • Yang, Dae-Hyeon;Kim, Mi-Hee;Kang, Joo-Won;Kim, Jae-Yeol
    • Journal of Korean Association for Spatial Structures
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    • v.18 no.2
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    • pp.25-34
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    • 2018
  • This study investigated a bio-tensegrity structural system that combines the characteristics of a general tensegrity structural system with a biological system. The final research objective is to accomplish a changeability for the structural system as like the movement of the natural bio-system. In the study, we present a shape finding procedure for the two stage bio-tensegrity system model inspired by the movement pattern of animal backbone. The proposed system is allowing a dynamic movement by introducing the concept of "saddle" for the variable bio-tensegrity structure. Several shape finding analysis example and results are presented and shows a efficient validation and suitability.

Nonlinear analysis of cable-supported structures with a spatial catenary cable element

  • Vu, Tan-Van;Lee, Hak-Eun;Bui, Quoc-Tinh
    • Structural Engineering and Mechanics
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    • v.43 no.5
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    • pp.583-605
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    • 2012
  • This paper presents a spatial catenary cable element for the nonlinear analysis of cable-supported structures. An incremental-iterative solution based on the Newton-Raphson method is adopted for solving the equilibrium equation. As a result, the element stiffness matrix and nodal forces are determined, wherein the effect of self-weight and pretension are taken into account. In the case of the initial cable tension is given, an algorithm for form-finding of cable-supported structures is proposed to determine precisely the unstressed length of the cables. Several classical numerical examples are solved and compared with the other available numerical methods or experiment tests showing the accuracy and efficiency of the present elements.