• 제목/요약/키워드: initial matrices

검색결과 89건 처리시간 0.026초

비국소 초기 조건을 갖는 퍼지 미분 시스템에 대한 제어가능성 (On the controllability of fuzzy differential systems with nonlocal initial conditions)

  • 강점란;정두환;권영철
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2002년도 춘계학술대회 및 임시총회
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    • pp.272-275
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    • 2002
  • In this paper, we find the controllability conditions for the following fuzzy differential systems (equation omitted) where A(t), B(t) are continuous matrices, g is given function, U(t) is fuzzy set and target X$^1$ is fuzzy set.

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

  • 김문영
    • 한국지진공학회:학술대회논문집
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    • 한국지진공학회 1999년도 춘계 학술발표회 논문집 Proceedings of EESK Conference-Spring
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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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사장교의 초기형상해석을 위한 탄성포물선 케이블요소 (An Elastic Parabolic Cable Element for Initial Shaping Analysis of Cable-Stayed Bridges)

  • 경용수;김문영
    • 한국전산구조공학회논문집
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    • 제20권1호
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    • pp.1-7
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    • 2007
  • 본 연구에서는 케이블구조의 초기형상해석을 위한 새로운 탄성포물선 케이블요소(elastic parabolic cable element)를 제시한다. 이를 위하여 먼저 탄성현수선 케이블요소(elastic catenary cable element)에 대한 적합조건과 접선강도행렬 유도과정을 간략히 한다. 이를 토대로 장력이 충분히 도입되어 자중에 의한 처짐 형상이 포물선에 가깝다는 가정 하에서 무응력길이를 포함하는 탄성포물선 케이블요소의 비선형 힘-변형관계식과 접선강도행렬을 유도한다. 또한 현(chord) 방향으로 두 케이블요소의 등가 장력식을 정의한다. 본 요소의 정확성을 확인하기 위하여, 탄성현수선과 탄성포물선 케이블요소를 각각 적용하여 고정하중을 받는 사장교의 초기형상해석을 수행하고 무응력길이, 등가장력, 그리고 최대장력 결과를 비교, 분석한다.

Laboratory investigation for engineering properties of sodium alginate treated clay

  • Cheng, Zhanbo;Geng, Xueyu
    • Structural Engineering and Mechanics
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    • 제84권4호
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    • pp.465-477
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    • 2022
  • The formation of biopolymer-soil matrices mainly depends on biopolymer type and concentration, soil type, pore fluid and phase transfer to influence its strengthening efficiency. In this study, the physical and mechanical properties of sodium alginate (SA) treated kaolinite are investigated through compaction test, thread rolling teat, fall cone test and unconfined compression test with considering biopolymer concentration, curing time, initial water content, mixing method. The results show that the liquid limit slightly decreases from 69.9% to 68.3% at 0.2% SA and then gradually increases to 98.3% at 5% SA. At hydrated condition, the unconfined compressive strength (UCS) of SA treated clay at 0.5%, 1%, 2% and 3% concentrations is 2.57, 4.5, 7.1 and 5.48 times of untreated clay (15.7 kPa) at the same initial water content. In addition, the optimum biopolymer concentration, curing time, mixing method and initial water content can be regarded as 2%, 28 days, room temperature water-dry mixing (RD), 50%-55% to achieve the maximum unconfined compressive strength, which corresponds to the UCS increment of 593%, compared to the maximum UCS of untreated clay (780 kPa).

Curved beam through matrices associated with support conditions

  • Gimena, Faustino N.;Gonzaga, Pedro;Valdenebro, Jose V.;Goni, Mikel;Reyes-Rubiano, Lorena S.
    • Structural Engineering and Mechanics
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    • 제76권3호
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    • pp.395-412
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    • 2020
  • In this article, the values of internal force and deformation of a curved beam under any action with the firm or elastic supports are determined by using structural matrices. The article presents the general differential formulation of a curved beam in global coordinates, which is solved in an orderly manner using simple integrals, thus obtaining the transfer matrix expression. The matrix expression of rigidity is obtained through reordering operations on the transfer notation. The support conditions, firm or elastic, provide twelve equations. The objective of this article is the construction of the algebraic system of order twenty-four, twelve transfer equations and twelve support equations, which relates the values of internal force and deformation associated with the two ends of the directrix of the curved beam. This final algebraic system, expressed in matrix form, is divided into two subsystems: twelve algebraic equations of internal force and twelve algebraic equations of deformation. The internal force and deformation values for any point in the curved beam directrix are determined from these values in the initial position. The five examples presented show how to apply the matrix procedures developed in this article, whether they are curved beams with the firm or elastic support.

In Vitro Percutaneous Absorption of Tenoxicam from Pressure-sensitive Adhesive Matrices across the Hairless Mouse Skin

  • Gwak, Hye-Sun;Chun, In-Koo
    • Archives of Pharmacal Research
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    • 제24권6호
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    • pp.578-583
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    • 2001
  • To investigate the feasibility of developing a new tenoxicam plaster, the effects of vehicles and penetration enhancers on the in vitro permeation of tenoxicam from a pressure-sensititre adhesive (PSA) matrices across the dorsal hairless mouse skin were studied. Vehicles employed in this study were propylene glycol (PC)-oleyl alcohol (OAI), PG-oleic acid (OA), and diethylene glycol monoethyl ether (DCMI)-propylene glycol monolaurate (PCML) cosolvents with/without fatty acids. In this studys amines such as triethanolamine (TEA) and tromethamine (TM) were additionally used as a solubilized. Among PSAs used, $Duro-Tak^{\circledR}$87-2510 showed much higher release rate than either $Duro-Tak^{\circledR}$ 87-2100 or $Duro-Tak^{\circledR}$87-2196. The relatively high flux rate was obtained with the formulation of DCMI-PCML (40:60, v/v) with 3% OA and 5% TM, and the flux increased as a function of the dose;the initial flux up to 12 h was $4.98{\pm}1.38{\;}{\mu\textrm{g}}/{\textrm{cm}^2}/h$ at the tenoxicam dose of $50{\;} mg/70{\;}{\textrm{cm}^2}$. This flux was much higher than that of a commercial piroxicam patch ($Trast^{\circledR}$) ($1.24{\pm}0.73{\;}{\mu\textrm{g}}/$\textrm{cm}^2/hr$) with almost only one-third that of the commercial patch. Therefore, these observations indicated that these composition of tenoxicam plaster may be practically applicable.

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GEGENBAUER WAVELETS OPERATIONAL MATRIX METHOD FOR FRACTIONAL DIFFERENTIAL EQUATIONS

  • UR REHMAN, MUJEEB;SAEED, UMER
    • 대한수학회지
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    • 제52권5호
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    • pp.1069-1096
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    • 2015
  • In this article we introduce a numerical method, named Gegenbauer wavelets method, which is derived from conventional Gegenbauer polynomials, for solving fractional initial and boundary value problems. The operational matrices are derived and utilized to reduce the linear fractional differential equation to a system of algebraic equations. We perform the convergence analysis for the Gegenbauer wavelets method. We also combine Gegenbauer wavelets operational matrix method with quasilinearization technique for solving fractional nonlinear differential equation. Quasilinearization technique is used to discretize the nonlinear fractional ordinary differential equation and then the Gegenbauer wavelet method is applied to discretized fractional ordinary differential equations. In each iteration of quasilinearization technique, solution is updated by the Gegenbauer wavelet method. Numerical examples are provided to illustrate the efficiency and accuracy of the methods.

초기하중을 받는 전단변형을 고려한 비대칭 박벽보의 엄밀한 동적 요소강도행렬 (Exact Dynamic Element Stiffness Matrix of Shear Deformable Nonsymmetric Thin-walled Beams Subjected to Initial Forces)

  • 윤희택;김동욱;김상훈;김문영
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2001년도 가을 학술발표회 논문집
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    • pp.435-442
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    • 2001
  • Derivation procedures of exact dynamic element stiffness matrix of shear deformable nonsymmetric thin-walled straight beams are rigorously presented for the spatial free vibration analysis. An exact dynamic element stiffness matrix is established from governing equations for a uniform beam element with nonsymmetric thin-walled cross section. First this numerical technique is accomplished via a generalized linear eigenvalue problem by introducing 14 displacement parameters and a system of linear algebraic equations with complex matrices. Thus, the displacement functions of dispalcement parameters are exactly derived and finally exact stiffness matrices are determined using member force-displacement relationships. The natural frequencies are evaluated and compared with analytic solutions or results of the analysis using ABAQUS' shell elements for the thin-walled straight beam structure in order to demonstrate the validity of this study.

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유도된 이진난수 생성법을 이용한 uDEAS의 Multi-start 성능 개선 (Performance Improvement of Multi-Start in uDEAS Using Guided Random Bit Generation)

  • 김은숙;김만석;김종욱
    • 전기학회논문지
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    • 제58권4호
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    • pp.840-848
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    • 2009
  • This paper proposes a new multi-start scheme that generates guided random bits in selecting initial search points for global optimization with univariate dynamic encoding algorithm for searches (uDEAS). The proposed method counts the number of 1 in each bit position from all the previously generated initial search matrices and, based on this information, generates 0 in proportion with the probability of selecting 1. This rule is simple and effective for improving diversity of initial search points. The performance improvement of the proposed multi-start is validated through implementation in uDEAS and function optimization experiments.

3차원 케이블망의 정적 비선형 해석 및 초기 평형상태의 결정 (Non-linear Static Analysis and Determination of Initial Equilibrium States of Space Cable Nets)

  • 김문영;김남일
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1997년도 가을 학술발표회 논문집
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    • pp.134-141
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    • 1997
  • A geometrically non-linear finite element formulation of spatial cable networks is presented using three cable elements. Firstly, derivation procedures of tangent stiffness and mass matrices for the space truss element and the elastic catenary cable element, and the isoparametric cable element are summarized. The load incremental method based on Newton-Raphson iteration method and the dynamic relaxation method are presented in order to determine the initial static state of cable nets subjected to self-weights and support motions. Furthermore, static non-linear analysis of cable structures under additional live loads are performed based on the initial configuration. Challenging example problems are presented and discussed in order to demonstrate the feasibility of the present finite element method and investigate static non-linear behaviors of cable nets.

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