• Title/Summary/Keyword: Matrix Equation

Search Result 1,081, Processing Time 0.025 seconds

Stability Condition for Discrete Interval Time-varying System with Time-varying Delay Time (시변 지연시간을 갖는 이산 구간 시변 시스템의 안정조건)

  • Han, Hyung-seok
    • Journal of Advanced Navigation Technology
    • /
    • v.20 no.5
    • /
    • pp.475-481
    • /
    • 2016
  • In this paper, the new stability condition of linear discrete interval time-varying systems with time-varying delay time is proposed. The considered system has interval time-varying system matrices for both non-delayed and delayed states with time-varying delay time within given interval values. The proposed condition is derived by using Lyapunov stability theory and expressed by very simple inequality. The restricted stability issue on the interval time-invariant system is expanded to interval time-varying system and a powerful stability condition which is more comprehensive than the previous is proposed. As a results, it is possible to avoid the introduction of complex linear matrix inequality (LMI) or upper solution bound of Lyapunov equation in the derivation of sufficient condition. Also, it is shown that the proposed result can include the many existing stability conditions in the previous literatures. A numerical example in the pe revious works is modified to more general interval system and shows the expandability and effectiveness of the new stability condition.

Theoretical modelling of post - buckling contact interaction of a drill string with inclined bore-hole surface

  • Gulyayev, V.I.;Andrusenko, E.N.;Shlyun, N.V.
    • Structural Engineering and Mechanics
    • /
    • v.49 no.4
    • /
    • pp.427-448
    • /
    • 2014
  • At present, the time of easy oil and gas is over. Now, the largest part of fossil fuels is concentrated in the deepest levels of tectonic structures and in the sea shelves. One of the most cumbersome operations of their extraction is the bore-hole drilling. In connection with austere tectonic and climate conditions, their drivage every so often is associated with great and diversified technological difficulties causing emergencies on frequent occasions. As a rule, they are linked with drill string accidents. A key role in prediction of these situations should play methods of theoretical modelling. For this reason, there is a growing need for development and implementation of new numerical methods for computer simulation of critical and post-critical behavior of drill strings (DSs). In this paper, the processes of non-linear deforming of a DS in cylindrical cavity of a deep bore-hole are considered. On the basis of the theory of curvilinear flexible rods, non-linear constitutive differential equations are deduced. The effects of the longitudinal non-uniform preloading, action of torque and interaction between the DS and the bore-hole surface are taken into account. Owing to the use of curvilinear coordinates in the constraining cylindrical surface and a specially chosen concomitant reference frame, it became possible to separate the desired variables and to reduce the total order of the equation system. To solve it, the method of continuation the solution by parameter and the transfer matrix technique are applied. As a result of the completed numerical analysis, the critical states of the DS loading in the cylindrical channels of inclined bore-holes are found. It is shown that the modes of the post-critical deforming of the DS are associated with its irregular spiral curving prevailing in the zone of bottom-hole-assembly. The possibility of invariant state generation during post-critical deforming is established, condition of its bifurcation is formulated. It is shown that infinite variety of loads can correspond to one geometrical configuration of the DS. They differ each from other by contact force functions.

Comparative Cost Analysis for Surgical and Endovascular Treatment of Unruptured Intracranial Aneurysms in South Korea

  • Kim, Myungsoo;Park, Jaechan;Lee, Joomi
    • Journal of Korean Neurosurgical Society
    • /
    • v.57 no.6
    • /
    • pp.455-459
    • /
    • 2015
  • Objective : A cost comparison of the surgical clipping and endovascular coiling of unruptured intracranial aneurysms (UIAs), and the identification of the principal cost determinants of these treatments. Methods : This study conducted a retrospective review of data from a series of patients who underwent surgical clipping or endovascular coiling of UIAs between January 2011 and May 2014. The medical records, radiological data, and hospital cost data were all examined. Results : When comparing the total hospital costs for surgical clipping of a single UIA (n=188) and endovascular coiling of a single UIA (n=188), surgical treatment [$mean{\pm}$standard deviation (SD) : \$8,280,000{\pm}1,490,000$] resulted in significantly lower total hospital costs than endovascular treatment ($mean{\pm}SD$ : \$11,700,000{\pm}3,050,000$, p<0.001). In a multi regression analysis, the factors significantly associated with the total hospital costs for endovascular treatment were the aneurysm diameter (p<0.001) and patient age (p=0.014). For the endovascular group, a Pearson correlation analysis revealed a strong positive correlation (r=0.77) between the aneurysm diameter and the total hospital costs, while a simple linear regression provided the equation, y (\)=6,658,630+855,250x (mm), where y represents the total hospital costs and x is the aneurysm diameter. Conclusion : In South Korea, the total hospital costs for the surgical clipping of UIAs were found to be lower than those for endovascular coiling when the surgical results were favorable without significant complications. Plus, a strong positive correlation was noted between an increase in the aneurysm diameter and a dramatic increase in the costs of endovascular coiling.

Fundamental Study on Estimating Compressive Strength and Physical Characteristic of Heat insulation Lightweight Mortar With Foam Agent (기포제 혼입 단열형 경량모르타르의 물리적 특성 및 압축강도 추정에 관한 기초적 연구)

  • Min, Tae-Beom;Woo, Young-Je;Lee, han-Seung
    • KIEAE Journal
    • /
    • v.10 no.3
    • /
    • pp.89-96
    • /
    • 2010
  • In comparison with ordinary or heavy-weight concrete, light-weight air void concrete has the good aspects in optimizing super tall structure systems for the process of design considering wind load and seismic load by lightening total dead load of buildings and reducing natural resources used. Light-weight air void concrete has excellent properties of heat and sound insulating due to its high amount porosity of air voids. So, it has been used as partition walls and the floor of Ondol which is the traditional Korean floor heating system. Under the condition of which the supply of light-weight aggregates are limited, the development of light-weight concrete using air voids is highly required in the aspects of reduced manufacturing prices and mass production. In this study, we investigated the physical properties and thermal behaviors of specimens that applied different mixing ratios of foaming agent to evaluate the possibility of use in the structural elements. We proposed the estimating equation for compressive strength of each mix having different ratio of foaming agent. We also confirmed that the density of cement matrix is decreased as the mixing amount of foaming agent increase up to 0.6% of foaming agent mixing ratio which was observed by SEM. Based on porosity and compressive strength of control mortar without foaming agent, we built the estimating equations of compressive strength for mortars with foaming agent. The upper limit of use in foaming agent is about 0.6% of the binder amount. Each air void is independent, and size of voids range from 50 to $100{\mu}m$.

Design Optimization Method of Inertial Parameters of Serial Manipulators for Improving the Energy Efficiency (에너지 효율 향상을 위한 직렬형 머니퓰레이터의 관성 파라미터 설계 최적화 방법)

  • Hwang, Soon-Woong;Kim, Hyeon-Guk;Choi, Youn-Sung;Shin, Kyoo-Sik;Han, Chang-Soo
    • Journal of the Korea Academia-Industrial cooperation Society
    • /
    • v.17 no.11
    • /
    • pp.395-402
    • /
    • 2016
  • This paper presents a design methodology for improving the energy efficiency by considering the inertial properties of serial manipulators. This method employed is to put the inertia matrix, which has a critical effect on the equation of motion, into the constraints of the optimization problem. Through the optimization process, we propose a design algorithm that can double-check whether the optimized parameters satisfy the required performance or not by using an auxiliary index associated with the inertia and energy. Using this design algorithm, we were able to improve the energy efficiency by minimizing the torque. We applied this method to a 3 degrees of freedom serial manipulator and simulated it.

Influence of Oxidation Inhibitor on Carbon-Carbon Composites : 7. Studies on Work of Adhesion and Fracture Toughness of Carbon-Carbon Composites (산화억제제를 첨가한 탄소/탄소 복합재료의 물성에 관한 연구 : 7. 탄소/탄소 복합재료외 부착력과 파괴인성)

  • 박수진;서민강;이재락
    • Polymer(Korea)
    • /
    • v.25 no.3
    • /
    • pp.435-440
    • /
    • 2001
  • The objective of this study was to examine the effect of oxidation inhibitor contents on the work of adhesion, fracture toughness, and impact strength of the unidirectional carbon-carbon composites (C/C composites). The molybdenum disilicide ($MoSi_2$) used as an oxidation inhibitor was impregnated with phenolic resins to improve the anti-oxidation properties of the composites in different concentrations of 4, 12 and 20 wt%. Based on Wilhelmy equation, the work of adhesion of C/C composites was calculated by contact angle methods. Fracture toughness and impact strength were pressured by three-point bending test for the critical intensity factor ($K_IC$) and Izod test method, respectively. As a result, the composites made with $MoSi_2$ resulted in an increasing of both fracture toughness and impact strength. Especially, the composites made with 12 wt% $MoSi_2$ content showed the highest value of London dispersive component, $W_A\;^L$, in work of adhesion, resulting from improving the interfacial adhesion force among fibers, filler, and matrix in this system.

  • PDF

Breakthrough Curves and Miscible Displacement of Cadmium Through Double-Layered Reclaimed Soils Amended with Macroporous Granule

  • Kim, Hye-Jin;Ryu, Jin-Hee;Kim, Si-Ju;Park, Mi-Suk;Chung, Doug-Young
    • Korean Journal of Soil Science and Fertilizer
    • /
    • v.44 no.1
    • /
    • pp.15-21
    • /
    • 2011
  • Transport of heavy metals such as Cd is affected by several rate-limiting processes including adsorption and desorption by exchange reactions in soils. In this study, column transport and batch kinetic experiments were performed to assess Cd mobility in a double-layered soil with a reclaimed saline and sodic soil (SSS) as top soil and macroporous granule (MPG) as a bottom layer. For individual soil layer having different physical and chemical properties, Cd was considered to be nonlinear reactivity with the soil matrix in layered soils. The dispersive equation for reactive solutes was solved with three types of boundary conditions for the interface between soil layers. The adsorption of Cd with respect to the saline-sodic sandy loam and the MPG indicated that the nature of the sites or the mechanisms involved in the sorption process of Cd was different and the amounts of Cd for both of samples increases with increasing amounts of equilibrium concentration whereas the amount of Cd adsorbed in saline-sodic sandy loam soil was higher than that in MPG. The results of breakthrough curve indicating relative Cd retardation accompanied by layer material and sequence during leaching showed that the number of pore volumes to reach the maximum relative concentration of 1 increased in the order of MPG, SSS, and double layer of SSS-MPG. Breakthrough curves (BTCs) from column experiments were well predicted with our double-layered model where independently derived solute physical and retention parameters were implemented.

Development of Thermal-Hydro Pipe Element for Ground Heat Exchange System (지중 열교환 시스템을 위한 열-수리 파이프 요소의 개발)

  • Shin, Ho-Sung;Lee, Seung-Rae
    • Journal of the Korean Geotechnical Society
    • /
    • v.29 no.8
    • /
    • pp.65-73
    • /
    • 2013
  • Ground-coupled heat pump system has attracted attention as a promising renewable energy technology due to its improving energy efficiency and eco-friendly mechanism for space cooling and heating. Pipes buried in the ground play a role of direct thermal interaction between circulating fluid inside the pipe and surrounding soils in the geothermal exchange system. However, both complexities of turbulent flow coupling thermal-hydraulic phenomena and very long aspect ratio of the pipe make it difficult to model the heat exchange system directly. Energy balance for fluid flow inside the pipe was derived to model thermal-hydraulic phenomena, and one-dimensional pipe element was proposed through Galerkin formation and time integration of the equation. Developed element is combined to pre-developed FEM code for THM phenomena in porous media. Numerical results of Thermal Response Test showed that line-source model overestimates equivalent thermal conductivity of surrounding soils due to thermal interaction between adjacent pipes and finite length of the pipe. Thus, inverse analysis for the TRT simulation was conducted to present optimal transformation matrix with utmost convergence.

A Study on the Parallel Ternary Logic Circuit Design to DCG Property with 2n nodes ($2^n$개의 노드를 갖는 DCG 특성에 대한 병렬3치 논리회로 설계에 관한 연구)

  • Byeon, Gi-Yeong;Park, Seung-Yong;Sim, Jae-Hwan;Kim, Heung-Su
    • Journal of the Institute of Electronics Engineers of Korea SC
    • /
    • v.37 no.6
    • /
    • pp.42-49
    • /
    • 2000
  • In this paper, we propose the parallel ternary logic circuit design algorithm to DCG Property with 2$^n$ nodes. To increase circuit integration, one of the promising approaches is the use of multiple-valued logic(MVL). It can be useful methods for the realization of compact integrated circuit, the improvement of high velocity signal processing using parallel signal transmission and the circuit design algorithm to optimize and satisfy the circuit property. It is all useful method to implement high density integrated circuit. In this paper, we introduce matrix equation to satisfy given DCG with 2$^n$ nodes, and propose the parallel ternary logic circuit design process to circuit design algorithm. Also, we propose code assignment algorithm to satisfy for the given DCG property. According to the simulation result of proposed circuit design algorithm, it have the following advantage ; reduction of the circuit signal lines, computation time and costs.

  • PDF

Finite element analysis of planar 4:1 contraction flow with the tensor-logarithmic formulation of differential constitutive equations

  • Kwon Youngdon
    • Korea-Australia Rheology Journal
    • /
    • v.16 no.4
    • /
    • pp.183-191
    • /
    • 2004
  • High Deborah or Weissenberg number problems in viscoelastic flow modeling have been known formidably difficult even in the inertialess limit. There exists almost no result that shows satisfactory accuracy and proper mesh convergence at the same time. However recently, quite a breakthrough seems to have been made in this field of computational rheology. So called matrix-logarithm (here we name it tensor-logarithm) formulation of the viscoelastic constitutive equations originally written in terms of the conformation tensor has been suggested by Fattal and Kupferman (2004) and its finite element implementation has been first presented by Hulsen (2004). Both the works have reported almost unbounded convergence limit in solving two benchmark problems. This new formulation incorporates proper polynomial interpolations of the log­arithm for the variables that exhibit steep exponential dependence near stagnation points, and it also strictly preserves the positive definiteness of the conformation tensor. In this study, we present an alternative pro­cedure for deriving the tensor-logarithmic representation of the differential constitutive equations and pro­vide a numerical example with the Leonov model in 4:1 planar contraction flows. Dramatic improvement of the computational algorithm with stable convergence has been demonstrated and it seems that there exists appropriate mesh convergence even though this conclusion requires further study. It is thought that this new formalism will work only for a few differential constitutive equations proven globally stable. Thus the math­ematical stability criteria perhaps play an important role on the choice and development of the suitable con­stitutive equations. In this respect, the Leonov viscoelastic model is quite feasible and becomes more essential since it has been proven globally stable and it offers the simplest form in the tensor-logarithmic formulation.