• Title/Summary/Keyword: Derivative criteria

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ON WARPED PRODUCT SPACES WITH A CERTAIN RICCI CONDITION

  • Kim, Byung Hak;Lee, Sang Deok;Choi, Jin Hyuk;Lee, Young Ok
    • Bulletin of the Korean Mathematical Society
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    • v.50 no.5
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    • pp.1683-1691
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    • 2013
  • In this paper, we obtain the criteria that the Riemannian manifold B is Einstein or a gradient Ricci soliton from the information of the second derivative of $f$ in the warped product space $R{\times}_fB$ with gradient Ricci solitons. Moreover, we construct new examples of non-Einstein gradient Ricci soliton spaces with an Einstein or non-Einstein gradient Ricci soliton leaf using our main theorems. Finally we also get analogous criteria for the Lorentzian version.

Analysis of Revised Helicopter Crashworthiness Criteria (개정 헬리콥터 내추락성 설계기준 분석)

  • Hwang, Jungsun;Lee, Sangmok
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.42 no.5
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    • pp.415-422
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    • 2014
  • There has been a lot of discussion to revise military helicopter crashworthiness design criteria. In this paper, newly revised crashworthiness criteria is analyzed centering around the Crashworthiness Index which is the core content of revised criteria. The Crashworthiness Index(CI) was conceived as an adequate method to quantify the crashworthiness capabilities of a rotorcraft design. The index can rate how well a new or derivative design complies with design requirements. The CI rating is made up of seven assessment areas. While the Basic Airframe Crashworthiness(BAC) area tends to be an objective calculation, other areas of the CI tend to be more subjective. Therefore, in this paper, detail CI calculation process for the BAC area is analyzed to inspect the effectiveness of revised criteria.

Impulse Response of Electric Power Steering System (전동식 조향 시스템의 임펄스 응답 특성)

  • Pang D.Y.;Jang B.C.;Lee S.C.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2005.06a
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    • pp.1483-1488
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    • 2005
  • As the development of microprocessor technology, electric power steering(EPS) system which uses an electric motor came to use a few years ago. It can solve the problems associated with hydraulic power steering. The motor only operates when steering assistance is needed, so it can save fuel and can reduce weight and cost by eliminating hydraulic pump and piping. As one of performance criteria of EPS systems, the transmissibility from road wheel load to steering wheel torque is considered in this paper. The transmissibility can be studied by fixing the steering wheel and calculating the torque needed to hold the steering wheel from road wheel load. A proportion-plus-derivative control is needed for EPS systems to generate desired static torque boost and avoid transmissibility of fluctuation. A pure proportion control can' satisfy both requirements.

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Visualization of 4-Dimensional Scattered Data Linear Interpolation Based on Data Dependent Tetrahedrization (4차원 산포된 자료 선형 보간의 가시화 -자료 값을 고려한 사면체 분할법에 의한-)

  • Lee, Kun
    • The Transactions of the Korea Information Processing Society
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    • v.3 no.6
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    • pp.1553-1567
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    • 1996
  • The numerous applications surface interpolation include the modeling and visualization phenomena. A tetrahedrization is one of pre-processing steps for 4-D space interpolation. The quality of a piecewise linear interpolation 4-D space depends not only on the distribution of the data points in $R^2$, but also on the data values. We show that the quality of approximation can be improved by data dependent tetraheadrization through visualization of 4-D space. This paper discusses Delaunary tetrahedrization method(sphere criterion) and one of the data dependent tetrahedrization methods(least squares fitting criterion). This paper also discusses new data dependent criteria:1) gradient difference, and 2) jump in normal direction derivative.

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Reliability Analysis on the Decision Method of Lateral Flow of Foundation Piles for Abutment (교대 기초말뚝의 측방유동 판정식에 관한 신뢰성 해석)

  • Ahn, Jong-Pil;Kim, Gyu-Deok;Kim, Il-Goo;Choi, Jin-Ho
    • Proceedings of the Korean Geotechical Society Conference
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    • 2008.10a
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    • pp.1090-1097
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    • 2008
  • This study conducted the decision method of lateral flow in abutment structures founded on the soft soils and the reliability analysis on the foundation pile for abutment. On the basis of the results, this study proposed the reliability design model. Reliability analysis was conducted by applying second moment method, point estimation method, and expected total cost minimization to lateral movement index, lateral movement decision index, modified lateral movement decision index, and circular failure safety factor for the decision criteria of lateral flow. The reliability index by analysis method had a similar tendency each other. Point estimation method was found as a practical method in the aspect of convenience because it could conduct the analysis only by mean and standard deviation as well as the partial derivative on random variables was not necessary. Optimum reliability index and optimum safety according to increasing in failure factors and load ratio were analyzed and loads and resistance factors of the design criteria of optimum reliability were estimated. It presented rational design model which can consider construction level and stability and economical efficiency overall.

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Adaptive nonsingular sliding mode based guidance law with terminal angular constraint

  • He, Shaoming;Lin, Defu
    • International Journal of Aeronautical and Space Sciences
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    • v.15 no.2
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    • pp.146-152
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    • 2014
  • In this paper, a new adaptive nonsingular terminal sliding mode control theory based impact angle guidance law for intercepting maneuvering targets was documented. In the design procedure, a new adaptive law for target acceleration bound estimation was presented, which allowed the proposed guidance law to be used without the requirement of the information on the target maneuvering profiles. With the aid of Lyapunov stability criteria, the finite-time convergent characteristics of the line-of-sight angle and its derivative were proven in theory. Numerical simulations were also performed under various conditions to demonstrate the effectiveness of the proposed guidance law.

An Approximate Gaussian Edge Detector (근사적 가우스에지 검출기)

  • 정호열;김회진;최태영
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.17 no.7
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    • pp.709-718
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    • 1992
  • A new edge detection operator superimposing two displaced Gaussian smoothing filters Is proposed as an approximate operator for the DroG(flrst derivative of Gaussian) known as a sub-op-timal step edge detector. The performance of the proposed edge detector Is very close to that of the DroG with the performance criteria . signal to noise ratio, locality, and multiple response. And the computational complexity can be reduced almost by a half of that of DroG, because of the use of common 2-D smoothing filter for DroG and LoG ( Laplacian of Gausslan) systems.

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Requirement Analysis of Geometry of Articulated Turnout for Urban Maglev (도시형 자기부상열차 굴절식 분기기의 선형 요구조건 분석)

  • Jang, Seung-Yup;Hwang, Sung-Ho
    • Proceedings of the KSR Conference
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    • 2007.11a
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    • pp.1324-1329
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    • 2007
  • For the commercialization of the urban maglev, an articulated turnout which consists of several segments of turnout girders and where switching is done by rotating those segments is under development. In this paper, to determine the alignment of this articulated turnout, the requirements for the alignement are analyzed. Requirements include: those for the levitation control and for the ride comfort. For the levitation control, rail joint width should be limited to a certain value, and for the ride comfort, the lateral acceleration and the time derivative of the lateral acceleration satisfy a guideline. According to these requirements, the alignment criteria are discussed.

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Bioequivalence Study of Loxoprofen Sodium in healthy Volunteers (Loxoprofen sodium 제제(레녹스정)의 생물학적 동등성시험)

  • 최주영;유내춘;박민수;김경환
    • Biomolecules & Therapeutics
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    • v.6 no.4
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    • pp.417-422
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    • 1998
  • Loxoprofen sodium (sodium 2-[4-(2-oxocyclopentylmethyl)phenyl] propionate dehydrate) is a nonsteroidal antiinflammatory drug of $\alpha$-phenyl propionic acid derivative. To test the bioequivalence of loxoprofen, the pharmacokinetic parameters of new preparation of loxoprofen, LENOX was compared with LOXONIN as a reference drug. Fourteen healthy volunteers were entered to the stydy (Yonsei University College of Medicine, Severance Hospital IRB approval No. 9608). They were administered 60 mg of loxoprofen in 2$\times$2 cross-over design. There was one week of drug-free interval between doses. The blood sample was taken on schedule up to 8 hours, and the plasma concentration loxoprofen was measured by reverse phase high-performance liquid chromatography (HPLC) with UV-detector. There were no significant difference between two preparations when AUC, Cmax, and Tmax were compared by ANOVA. The mean differences of AUC, Cmax, and Tmax were within 20% of the reference drug: the values were 2.22,5.61, and 12.50%, respectively. The confidence limits of AUC and Cmax but not Tmax satisfied the bioequivalence criteria. These results suggest that the tested LENOX is bioequivalent to the reference drug.

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Study of the Robustness Bounds with Lyapunoved-Based Stability Concept

  • Jo, Jang-Hyen
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.700-705
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    • 2005
  • The purpose of this project is the derivation and development of techniques for the new estimation of robustness for the systems having uncertainties. The basic ideas to analyze the system which is the originally nonlinear is Lyapunov direct theorems. The nonlinear systems have various forms of terms inside the system equations and this investigation is confined in the form of bounded uncertainties. Bounded means the uncertainties are with same positive/negative range. The number of uncertainties will be the degree of freedoms in the calculation of the stability region. This is so called the robustness bounds. This proposition adopts the theoretical analysis of the Lyapunov direct methods, that is, the sign properties of the Lyapunov function derivative integrated along finite intervals of time, in place of the original method of the sign properties of the time derivative of the Lyapunov function itself. This is the new sufficient criteria to relax the stability condition and is used to generate techniques for the robust design of control systems with structured perturbations. Using this relaxing stability conditions, the selection of Lyapunov candidate function is of various forms. In this paper, the quadratic form is selected. this generated techniques has been demonstrated by recent research interest in the area of robust control design and confirms that estimation of robustness bounds will be improved upon those obtained by results of the original Lyapunov method. In this paper, the symbolic algebraic procedures are utilized and the calculating errors are reduced in the numerical procedures. The application of numerical procedures can prove the improvements in estimations of robustness for one-and more structured perturbations. The applicable systems is assumed to be linear with time-varying with nonlinear bounded perturbations. This new techniques will be extended to other nonlinear systems with various forms of uncertainties, especially in the nonlinear case of the unstructured perturbations and also with various control method.

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