• 제목/요약/키워드: differential form

검색결과 786건 처리시간 0.031초

Differential settlements in foundations under embankment load: Theoretical model and experimental verification

  • Wang, Changdan;Zhou, Shunhua;Wang, Binglong;Guo, Peijun;Su, Hui
    • Geomechanics and Engineering
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    • 제8권2호
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    • pp.283-303
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    • 2015
  • To research and analyze the differential settlements of foundations specifically, site investigations of existing railways and metro were firstly carried out. Then, the centrifugal test was used to observe differential settlements in different position between foundations on the basis of investigation. The theoretical model was established according to the stress diffusion method and Fourier method to establish an analytical solution of embankment differential settlement between different foundations. Finally, theoretical values and experimental values were analyzed comparatively. The research results show that both in horizontal and vertical directions, evident differential settlement exists in a limited area on both sides of the vertical interface between different foundations. The foundation with larger elastic modulus can transfer more additional stress and cause relatively less settlement. Differential settlement value decreases as the distance to vertical interface decreases. In the vertical direction of foundation, mass differential settlement also exists on both sides of the vertical interface and foundation with larger elastic modulus can transfer more additional stress. With the increase of relative modulus of different foundations, foundation with lower elastic modulus has larger settlement. Meanwhile, differential settlement is more obvious. The main error sources in theoretical and experimental values include: (a) different load form; (b) foundation characteristics differences; (c) modulus conversion; (d) effect of soil internal friction.

3차 복합 스플라인을 이용한 선형의 리모델링 및 설계 파라메터 계산 (Remodeling of Hull Form and Calculation of Design Parameters using Cubic Composite Spline)

  • 손혜종;김현철
    • 한국CDE학회논문집
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    • 제13권6호
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    • pp.440-449
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    • 2008
  • This paper deals with a method calculating various hull form parameters which are required in numerical analysis for ship performance such as motion, maneuverability, resistance and propulsion, etc. After the hull form is designed, before the model tests the ship's performances are evaluated by various analysis tools in which the hull form parameters are used with many kinds of forms aside from offset data. Here, The hull form parameters characterize the properties of hull form and contain positional, differential and integral information implicitly. Generally, the commercial CAD-system has not functions enough for supporting these form parameters and therefore each shipyard uses its own in-house analysis program as well as commercial analysis software. To overcome these limitations, modules for supporting these analysis programs have developed. The modules contain cubic composite spline cure using local curve fairing, intersect algorithm, Gaussian integral, and other geometric techniques needed in calculating hull form parameters. Using our analysis-supporting modules, a complex hull form can be remodeled exactly to the hull form designed by CAD-system and any hull form parameter required in various performance analyses can be calculated.

쿨롱마찰을 갖는 단자유도계의 자유진동응답에 관한 닫힌 해 (Closed-Form Solutions to Free Vibration Response of Single Degree of Freedom Systems with Coulomb Friction)

  • 이성경
    • 한국전산구조공학회논문집
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    • 제33권1호
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    • pp.9-16
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    • 2020
  • 본 연구는 쿨롱마찰을 갖는 동적시스템의 기초적인 연구로써 단자유도계의 자유진동응답에 대한 닫힌 해를 제공하는 것을 목적으로 한다. 쿨롱마찰을 포함하는 동적시스템의 운동방정식은 운동방향에 따른 마찰력의 부호변화로 인하여 비선형 미분방정식의 형태로 표현되기 때문에 닫힌 형태의 해를 얻기가 매우 어려운 특성이 있다. 이를 해결하기 위한 기존의 방법으로는 수치적분법에 의해 비선형 미분방정식을 직접 계산하거나 또는, 쿨롱마찰에 의한 감쇠효과를 등가점성감쇠로 치환한 선형 미분방정식을 이용하여 간접적으로 해를 구하는 방법이 사용되고 있다. 그러나 이러한 방법들은 수학적인 측면에서 닫힌 해를 제공하지 않는다. 따라서 본 연구에서는 운동방정식에서 반주기 구간마다 반전되는 마찰력의 부호변화를 고려하고, 이를 멱급수를 이용하여 전 구간으로 확장시킴으로써 쿨롱마찰을 고려한 단자유도계의 자유진동응답에 대해서 수학적으로 닫힌 해를 유도하였다. 또한, 마찰력의 크기가 강성에 의한 복원력의 크기보다 커지는 순간에 자유진동 운동이 정지하는 조건을 이용함으로써 주어진 초기조건에 대해서 예측되는 자유진동 반주기의 수와 운동이 정지하는 순간의 정확한 응답 값을 제안하였다

Polymorphism of Doxazosin Mesylate

  • Sohn Young-Taek;Lee Yoon-Hee
    • Archives of Pharmacal Research
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    • 제28권6호
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    • pp.730-735
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    • 2005
  • Nine polymorphic modifications of doxazosin mesylate have been obtained by recrystallization in organic solvents under variable conditions. Different polymorphs of doxazosin mesylate were characterized by powder X-ray crystallography diffractometry (PXRD), differential scanning calorimetry (DSC), and thermogravimetric analysis (TG). Transformation of Form 1 and Form 2 was not occurred in three relative humidities ($0\%$, $51\%$, and $99\%$) at 20$\pm$0.5 for 30 days.

다몸체 시스템의 운동방정식 형성방법 (A method of formulating the equations of motion of multibody systems)

  • 노태수
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1993년도 한국자동제어학술회의논문집(국내학술편); Seoul National University, Seoul; 20-22 Oct. 1993
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    • pp.926-930
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    • 1993
  • An efficient method of formulating the equations of motion of multibody systems is presented. The equations of motion for each body are formulated by using Newton-Eulerian approach in their generic form. And then a transformation matrix which relates the global coordinates and relative coordinates is introduced to rewrite the equations of motion in terms of relative coordinates. When appropriate set of kinematic constraints equations in terms of relative coordinates is provided, the resulting differential and algebraic equations are obtained in a suitable form for computer implementation. The system geometry or topology is effectively described by using the path matrix and reference body operator.

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MULTI-SCALE DERIVATIVE OF IRREGULAR FUNCTIONS

  • Kim, Tae-Sik
    • Journal of applied mathematics & informatics
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    • 제13권1_2호
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    • pp.393-404
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    • 2003
  • In general, a differential operator can be used as a tool of treating the local properties of given function. However, when the given function is varied with high frequency and has irregular form with non-stationary evolution it may not act its role sufficiently as in case of nowhere differentiable curves. In this paper we introduce a multi-scale derivative as a form of weakened global derivative so that it may explain its semi global diffusion properties as well as local ones for the various irregular diffusion phenomena.

세프라딘의 용출에 미치는 결정형의 영향 (Effects of Crystal Forms on Dissolution of Cephradin)

  • 손영택;김지선
    • Journal of Pharmaceutical Investigation
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    • 제28권2호
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    • pp.115-119
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    • 1998
  • Five polymorphic modifications of Cephradin were prepared by recrystallization from organic solvents. The isolated crystal forms were characterized by differential scanning calorimetry (DSC), thermogravimetric analysis (TGA) and X-ray crystallography powder diffractometry. Modificaition 1 was the most stable form and decomposed at $201.3^{\circ}C$. Modification 3 and 4 were metastable. The dissolution of modification 3 and 4 was faster than that of marketed form.

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세푸록심 악세틸의 결정형 (Crystal Form of Cefuroxime axetil)

  • 김보연;손영택
    • Journal of Pharmaceutical Investigation
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    • 제37권1호
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    • pp.23-26
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    • 2007
  • Two crystal forms of cefuroxime axetil were obtained by the recrystallization from different organic solvents and characterized by differential scanning calorimetry (DSC), X-ray powder diffraction (XRD). It was confirmed that two crystal forms are identical. The dissolution patterns of these two forms were also checked in 0.07 N HCl at $37{\pm}0.5^{\circ}C$, 100 rpm for 180 minutes. The transformation during storage was also studied.

NON-EXISTANCE REAL HYPERSURFACES IN A NONFLAT COMPLEX SPACE FORM WITH CODAZZI TYPE OF STRUCTURE TENSOR FIELD

  • Lim, Dong Ho;Kim, Hwa Soo
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제28권1호
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    • pp.55-60
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    • 2021
  • Let M be a real hypersurface in a complex space form Mn(c), c ≠ 0. In this paper we prove that if the structure tensor field is Codazzi type, then M is a Hopf hypersurface. We characterize such Hopf hypersurfaces of Mn(c).

REAL HYPERSURFACES IN A NONFLAT COMPLEX SPACE FORM WITH SPECIAL STRUCTURE TENSOR FIELD

  • Lim, Dong Ho;Kim, Hoonjoo
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제28권3호
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    • pp.247-252
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    • 2021
  • Let M be a real hypersurface in a complex space form Mn(c), c ≠ 0. In this paper, we prove that if (∇Xϕ)Y + (∇Yϕ)X = 0 holds on M, then M is a Hopf hypersurface, where ϕ is the tangential projection of the complex structure of Mn(c). We characterize such Hopf hypersurfaces of Mn(c).