• 제목/요약/키워드: non-linear criterion

검색결과 92건 처리시간 0.023초

콜피츠 전압제어 발진기 동작의 새로운 해석 및 구현에 관한 연구 (A Study on the New Analysis to the Dynamics of Colpitts VCO's and Practical Implication)

  • 김학선;황인갑;이형재
    • 한국통신학회논문지
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    • 제19권12호
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    • pp.2439-2447
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    • 1994
  • Colpitts VOC(Voltage Controlled Oscillator)의 새로운 모델링을 제시하였다. 일반적으로 VOC의 해석에는 2차원 모델이 사용되고 있는데 본 논문에서는 3차원 모델을 사용하였다. 이는 수학적으로 정확함은 물론 실제적으로도 유용하게 사용할 수 있다. 이러한 잇점은 실제의 VOC는 콜피츠 발진회로에 기초한 것이며 이는 3차원 시스템이기 때문이다. 모델링은 선형 근사법으로 시작하여 HBM(harmonic balance method)에 의하여 비선형 해석으로 접근하였다. 이 해석에서는 시스템의 출력에 영향을 주는 발진과 함께, 겹쳐서 나타나는 시프팅 바이어스라는 새로운 모드의 존재를 드러내었다. 더우기 해석의 성과는 발진 주파수의 변화를 시도하고자 할 때 발진기의 피라미터를 변화시키는 유용한 과정을 추출하였다. 시뮬레이션으로 이를 확인하고 개인용 휴대전화기에 사용될 GaAs MESFET VCO 실제회로에 적용시켜 본 결과 매우 잘 일치하였다.

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An Analytical Solution for Regular Progressive Water Waves

  • Shin, JangRyong
    • Journal of Advanced Research in Ocean Engineering
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    • 제1권3호
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    • pp.157-167
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    • 2015
  • In order to provide simple and accurate wave theory in design of offshore structure, an analytical approximation is introduced in this paper. The solution is limited to flat bottom having a constant water depth. Water is considered as inviscid, incompressible and irrotational. The solution satisfies the continuity equation, bottom boundary condition and non-linear kinematic free surface boundary condition exactly. Error for dynamic condition is quite small. The solution is suitable in description of breaking waves. The solution is presented with closed form and dispersion relation is also presented with closed form. In the last century, there have been two main approaches to the nonlinear problems. One of these is perturbation method. Stokes wave and Cnoidal wave are based on the method. The other is numerical method. Dean's stream function theory is based on the method. In this paper, power series method was considered. The power series method can be applied to certain nonlinear differential equations (initial value problems). The series coefficients are specified by a nonlinear recurrence inherited from the differential equation. Because the non-linear wave problem is a boundary value problem, the power series method cannot be applied to the problem in general. But finite number of coefficients is necessary to describe the wave profile, truncated power series is enough. Therefore the power series method can be applied to the problem. In this case, the series coefficients are specified by a set of equations instead of recurrence. By using the set of equations, the nonlinear wave problem has been solved in this paper.

복합배수관망에 있어서 선형 및 비선형 해석기법의 적용 (Application of Linear and Nonlinear Analysis Technique on the Complex Water Distributing System)

  • 고수현;최윤영;안승섭
    • 한국농공학회지
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    • 제43권4호
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    • pp.69-78
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    • 2001
  • In this study optimal analysis of pipe network was performed using linear and non linear analysis method for complex real pipe network system of Mungyeong water purification field system which consists of 70 nodes and 86 elements. From the examination result of total flow which is distributed to each pipe, it is found that KYPIPE2 Model supplies less amount than NLAM. It is known that dynamic water level and pressure head of KYPIPE2 Model and NLAM are nearly in accordance with each other from each method of the pipe network analyses, and appeared that both methods of analysis shows high reliable result since the distribution of dynamic water level for every node is the short range of EL. 205.0m~EL. 210.0m besides the pressed dynamic water level. The analysis results of pressure in the methods of pipe network analysis for KYPIPE2 Model and NLAM are similar and it is satisfactory result that the pressure distributions of the tab water design criterion of 5.0kgf/cm$^2$ besides the small part of highland.

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Analytical Approximation in Deep Water Waves

  • Shin, JangRyong
    • Journal of Advanced Research in Ocean Engineering
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    • 제2권1호
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    • pp.1-11
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    • 2016
  • The objective of this paper is to present an analytical solution in deep water waves and verify the validity of the theory (Shin, 2015). Hence this is a follow-up to Shin (2015). Instead of a variational approach, another approach was considered for a more accurate assessment in this study. The products of two coefficients were not neglected in this study. The two wave profiles from the KFSBC and DFSBC were evaluated at N discrete points on the free-surface, and the combination coefficients were determined for when the two curves pass the discrete points. Thus, the solution satisfies the differential equation (DE), bottom boundary condition (BBC), and the kinematic free surface boundary condition (KFSBC) exactly. The error in the dynamic free surface boundary condition (DFSBC) is less than 0.003%. The wave theory was simplified based on the assumption tanh $D{\approx}1$ in this paper. Unlike the perturbation method, the results are possible for steep waves and can be calculated without iteration. The result is very simple compared to the 5th Stokes' theory. Stokes' breaking-wave criterion has been checked in this study.

판재 전단 가공에서 금형의 마멸 해석 (Analysis of Tool Wear in Sheet Metal Shearing)

  • 고대철;김태형;김병민
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1997년도 춘계학술대회 논문집
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    • pp.805-810
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    • 1997
  • In this paper the technique to predict tool were theoretically in the sheet metal shearing process is suggested. The were in sheet metal tool affects the tolerances of final parts, metal flows and costs of processes. In order to predict the tool were the deformation of workpiece during the process is analyzed by using non-isothermal finite element program. The ductile fracture criterion and the element kill method are also used to estimate if and where a fracture will occur and to investigate the features of the sheared surface in shearing process. Results obtained form finite element simulation such as node velocities and node forces are transformed into sliding velocity and normal pressure on tool monitoring points respectively. The monitoring points are automatically generated and the were rates on these points are accumulated during a process. It is assumed that the wear depth on the tool surface are linear function of the lot sizes based upon the known experimental results. The influence of clearance between die and punch upon tool wear is were is also discussed during the process.

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비선형 파괴역학 파라메터(J-적분)에 의한 강섬유보강 고강도콘크리트의 파괴인성 평가 (Evaluation of Fracture Toughness for Steel Fiber Reinforced High Strength Concrete by Non-linear Fracture Mechanics Parameter(J-integral))

  • 구봉근;김태봉
    • 대한토목학회논문집
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    • 제13권1호
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    • pp.25-37
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    • 1993
  • 본 논문은 강섬유보강 콘크리트의 인성을 평가하기 위하여 비선형 파괴역학 파라메터의 하나인 J적분이 최대하중점 파괴기준이 적용될 때 휨시험으로부터 하중-처짐곡선으로부터 간편하게 사용될 수 있음을 설명하고, 강섬유로 보강된 고강도콘크리트를 대상으로 노치를 가진 휨시험편을 제작하여 3점 재하실험을 실시하고, 그것으로부터 $J_{IC}$와 선형파괴역학 파라메터인 $K_{IC}$$G_{IC}$를 얻고 각각을 비교 고찰하였다. 그 결과, 강섬유보강 콘크리트의 파괴인성을 평가하기 위해서는 $J_{IC}$$K_{IC}$$G_{IC}$보다 더 효과적임을 알 수 있었다. 또한 강섬유 혼입률 0.5% 이하에서는 고강도콘크리트의 인성의 증진효과가 거의 없었으나, 섬유혼입률 1.0% 이상에서는 $J_{IC}$가 뚜렸한 증가를 보이고 있어 콘크리트의 개선된 인성특성을 잘 나타내고 있었으며. $K_{IC}$$G_{IC}$는 그렇지 못하였다. 그러나, $J_{IC}$의 정량화에 이용하는 공시체의 크기는 $J_{IC}$의 계산에 필요한 최대강도점에서 포텐셜에너지의 변동이 적고 시험편의 취급도 간편한 공시체의 선택이 필요하며, $J_{IC}$ 의 실험적 평가에 의해서 얻어지는 결과는 최대하중점에서 얻어짐으로 인하여 최대하중점의 선정에 아주 크게 좌우되는 문제점을 가지고 있다. 따라서, 강섬유 보강 콘크리트와 같은 비균질(非均質) 재료(材料)의 경우에는 균열의 진전과정(進展過程)이 불규칙적이므로 균열 발생점을 바르게 찾아내는 측정기술(測定技術)과 정도상(程度上)외 문제점을 포함하여, 파괴인성에 대한 좀 더 바람직한 평가방법 등이 이루어져야 할 것으로 판단된다.

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Theoretical solutions for displacement and stress of a circular opening reinforced by grouted rock bolt

  • Zou, Jin-Feng;Xia, Zhang-Qi;Dan, Han-Cheng
    • Geomechanics and Engineering
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    • 제11권3호
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    • pp.439-455
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    • 2016
  • This paper presented solutions of displacement and stress for a circular opening which is reinforced with grouted rock bolt. It satisfies the Mohr-Coulomb (M-C) or generalized Hoek-Brown (H-B) failure criterion, and exhibits elastic-brittle-plastic or strain-softening behavior. The numerical stepwise produce for strain-softening rock mass reinforced with grouted rock bolt was developed with non-associative flow rules and two segments piecewise linear functions related to a principle strain-dependent plastic parameter, to model the transition from peak to residual strength. Three models of the interaction mechanism between grouted rock bolt and surrounding rock proposed by Fahimifar and Soroush (2005) were adopted. Based on the axial symmetrical plane strain assumption, the theoretical solution of the displacement and stress were proposed for a circular tunnel excavated in elastic-brittle-plastic and strain-softening rock mass compatible with M-C or generalized H-B failure criterion, which is reinforced with grouted rock bolt. It showed that Fahimifar and Soroush's (2005) solution is a special case of the proposed solution for n = 0.5. Further, the proposed method is validated through example comparison calculated by MATLAB programming. Meanwhile, some particular examples for M-C or generalized H-B failure criterion have been conducted, and parametric studies were carried out to highlight the influence of different parameters (e.g., the very good, average and very poor rock mass). The results showed that, stress field in plastic region of surrounding rock with considering the supporting effectiveness of the grouted rock bolt is more than that without considering the effectiveness of the grouted rock bolt, and the convergence and plastic radius are reduced.

상지 외골격 로봇 제어를 위한 인체 팔 동작의 기구학 및 동역학적 분석 - 파트 2: 제한조건의 선형 결합 (Analysis on the Kinematics and Dynamics of Human Arm Movement Toward Upper Limb Exoskeleton Robot Control - Part 2: Combination of Kinematic and Dynamic Constraints)

  • 김현철;이춘영
    • 제어로봇시스템학회논문지
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    • 제20권8호
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    • pp.875-881
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    • 2014
  • The redundancy resolution of the seven DOF (Degree of Freedom) upper limb exoskeleton is key to the synchronous motion between a robot and a human user. According to the seven DOF human arm model, positioning and orientating the wrist can be completed by multiple arm configurations that results in the non-unique solution to the inverse kinematics. This paper presents analysis on the kinematic and dynamic aspect of the human arm movement and its effect on the redundancy resolution of the seven DOF human arm model. The redundancy of the arm is expressed mathematically by defining the swivel angle. The final form of swivel angle can be represented as a linear combination of two different swivel angles achieved by optimizing two cost functions based on kinematic and dynamic criteria. The kinematic criterion is to maximize the projection of the longest principal axis of the manipulability ellipsoid of the human arm on the vector connecting the wrist and the virtual target on the head region. The dynamic criterion is to minimize the mechanical work done in the joint space for each of two consecutive points along the task space trajectory. The contribution of each criterion on the redundancy was verified by the post processing of experimental data collected with a motion capture system. Results indicate that the bimodal redundancy resolution approach improved the accuracy of the predicted swivel angle. Statistical testing of the dynamic constraint contribution shows that under moderate speeds and no load, the dynamic component of the human arm is not dominant, and it is enough to resolve the redundancy without dynamic constraint for the realtime application.

성능기반설계에 기초한 성능영향인자 변화에 따른 기둥의 거동분석 (Behavior of Columns Due to Variation of Performance Influencing Factors Based on Performance Based Design)

  • 윤성환;최민철;강윤식;박대효
    • 콘크리트학회논문집
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    • 제22권4호
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    • pp.489-498
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    • 2010
  • 철근 콘크리트 구조물의 명확한 성능평가를 수행하기 위해 재료 및 구조적 특성이 구조물에 미치는 영향에 대한 분석이 필요하다. 구조물의 성능에 영향을 미치는 성능영향인자는 구조물의 재료적 특성인 콘크리트 강도, 종방향주철근, 횡구속 철근, 구조적 특성인 형상비, 축하중에 대하여 총 5가지로 정의하였다. 각각의 성능영향인자 변화에 따른 고유치 해석과 비선형 정적해석을 수행하여 각각의 성능영향인자들이 구조물의 항복 변위와 항복 기저전단력 및 연성비의 정적성능에 미치는 영향을 분석하였다. 또한 비선형 정적해석의 결과를 이용하여 FEMA-440에서 제안된 수정된 능력스펙트럼법을 이용하여 성능평가를 수행하였고, 이에 따라 구조물의 성능점을 도출하였으며 각각의 성능영향인자가 미치는 영향을 분석하였다. 성능영향인자 변화에 따른 해석 결과, 고유치해석과 비선형 정적해석의 따른 고유주기와 연성비는 구조적 특성이 재료적 특성에 비해 구조물에 더 큰 영향을 미치는 것으로 나타났고, 그 중 형상비의 영향이 가장 크게 작용하였으며, 수정된 능력스펙트럼법을 이용한 성능평가 결과, 고유주기와 연성비와 마찬가지로 구조적 특성 중 형상비의 영향이 가장 크게 작용하였다.

STABILITY OF THE TWO-TEMPERATURE ACCRETION DISK

  • PARK MYEONG-GU
    • 천문학회지
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    • 제28권1호
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    • pp.97-107
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    • 1995
  • The stability of the geometrically thin, two-temperature hot accretion disk is studied. The general criterion for thermal instability is derived from the linear local analyses, allowing for advective cooling and dynamics in the vertical direction. Specifically, classic unsaturated Comptonization disk is analysed in detail. We find five eigen-modes: (1) Heating mode grows in thermal time scale, $(5/3)({\alpha}{\omega})^{-1}$, where alpha is the viscosity parameter and w the Keplerian frequency. (2) Cooling mode decays in time scale, $(2/5)(T_e/T_i)({\alpha}{\omega})^{-1}$, where $T_e\;and\;T_i$ are the electron and ion temperatures, respectively. (3) Lightman-Eardley viscous mode decays in time scale, $(4/3)(\Lambda/H)^2({\alpha}{\omega})^{-1}$, where $\Lambda$ is the wavelength of the perturbation and H the unperturbed disk height. (4) Two vertically oscillating modes oscillate in Keplerian time scale, $(3/8)^{1/2}\omega^{-1}$ with growth rate $\propto\;(H/\Lambda)^2$. The inclusion of dynamics in the vertical direction does not affect the thermal instability, adding only the oscillatory modes which gradually grow for short wavelength modes. Also, the advective cooling is not strong enough to suppress the growth of heating modes, at least for geometrically thin disk. Non-linear development of the perturbation is followed for simple unsaturated Compton disk: depending on the initial proton temperature perturbation, the disk can evolve to decoupled state with hot protons and cool electrons, or to one-temperature state with very cool protons and electrons.

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