• 제목/요약/키워드: Differential analysis

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Thermal vibration analysis of thick laminated plates by the moving least squares differential quadrature method

  • Wu, Lanhe
    • Structural Engineering and Mechanics
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    • v.22 no.3
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    • pp.331-349
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    • 2006
  • The stresses and deflections in a laminated rectangular plate under thermal vibration are determined by using the moving least squares differential quadrature (MLSDQ) method based on the first order shear deformation theory. The weighting coefficients used in MLSDQ approximation are obtained through a fast computation of the MLS shape functions and their partial derivatives. By using this method, the governing differential equations are transformed into sets of linear homogeneous algebraic equations in terms of the displacement components at each discrete point. Boundary conditions are implemented through discrete grid points by constraining displacements, bending moments and rotations of the plate. Solving this set of algebraic equations yields the displacement components. Then substituting these displacements into the constitutive equation, we obtain the stresses. The approximate solutions for stress and deflection of laminated plate with cross layer under thermal load are obtained. Numerical results show that the MLSDQ method provides rapidly convergent and accurate solutions for calculating the stresses and deflections in a multi-layered plate of cross ply laminate subjected to thermal vibration of sinusoidal temperature including shear deformation with a few grid points.

Calibration and Uncertainty Measurement of Differential Mobility Analyzer Using 100 nm NIST SRM 1963 (100 nm NIST 표준입자를 이용한 미분형 전기 이동도 분석기의 교정 및 불확실도 측정)

  • Lee, Snag-Jin;Ahn, Jin-Hong;Ahn, Kang-Ho
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.27 no.12
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    • pp.1766-1771
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    • 2003
  • House made differential mobility analyzer(DMA) is calibrated with NIST SRM 1691(300 nm PSL). Then the particle size and uncertainty for differential mobility analyzer(DMA) using the NIST SRM 1963(100 nm PSL). In result, calibration of prototype DMA is measured using 300 nm NIST SRM 1691, then sheath air flow was corrected 126.67 ㎤/s. Corrected sheath air flow is used in uncertainty measurement of prototype DMA. Uncertainty analysis is performed using NIST SRM 1963(100 nm PSL). The experimental result shows that NIST SRM 1963 is measured as 102.17 nm with a type A uncertainty of 0.33 nm.

EXPRESSIONS OF MEROMORPHIC SOLUTIONS OF A CERTAIN TYPE OF NONLINEAR COMPLEX DIFFERENTIAL EQUATIONS

  • Chen, Jun-Fan;Lian, Gui
    • Bulletin of the Korean Mathematical Society
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    • v.57 no.4
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    • pp.1061-1073
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    • 2020
  • In this paper, the expressions of meromorphic solutions of the following nonlinear complex differential equation of the form $$f^n+Qd(z,f)=\sum\limits_{i=1}^{3}pi(z)e^{{\alpha}_i(z)}$$ are studied by using Nevanlinna theory, where n ≥ 5 is an integer, Qd(z, f) is a differential polynomial in f of degree d ≤ n - 4 with rational functions as its coefficients, p1(z), p2(z), p3(z) are non-vanishing rational functions, and α1(z), α2(z), α3(z) are nonconstant polynomials such that α'1(z), α'2(z), α'3(z) are distinct each other. Moreover, examples are given to illustrate the accuracy of the condition.

An analytical consideration of the MOS type field-effect transistor differential amplifier (MOS형 전계효과 트랜지스터 차동증폭기에 관한 소고)

  • 정만영
    • 전기의세계
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    • v.14 no.6
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    • pp.1-7
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    • 1965
  • This paper provides the analysis of the differential amplifier using the insulated gate, metala-oxide-semiconductor type field-effect-transistor(MOS FET), for its active element and the power drift of the amplifer. From these analytical considerations some design standardsn were found for the MOS FET differential amplifier available for the measurement of the very small current (pico-ampare range). A differential amplifier was designed and built in the view of above considerations. Its equivalent input gate voltages of the thermal drift and the power drift were 0.57mV/.deg. C in the range 25.deg. C-60.deg. C and 8.8mV/V in the range of 20% drift of its orginal value, respectively.

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Characteristics on the Output Coupled Type CVT Combined Differential Gear Unit (차동기어장치를 적용한 출력축 연결방식 무단변속기의 특성해석에 관한 연구)

  • Choi, Sang-Hoon;Kim, Yeon-Su
    • Journal of the Korean Society for Precision Engineering
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    • v.18 no.3
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    • pp.205-215
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    • 2001
  • Continuously variable transmission(CVT) mechanisms considered here combine the functions of a 2K-H I type differential gear unit and a V-belt continuously variable unit(CVU). One shaft of the V-belt CVU is connected directly to the differential gear unit and remaining shaft of it is linked to the output shaft. These mechanisms have many advantage which are the decrease of CVT size, the increase of overall efficiency, the extension of speed ratio range, and the generation of geared neutral. In this paper six different mechanisms of output coupled type CVT are proposed. Some useful theoretical formula related to speed ratio, power flow and efficiency are derived and analyzed, and theoretical analysis are proven by various experiments.

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A Study on the Circuit Analysis of Composite BiCMOS Transistor and the Design Methodology of BiCMOS Differential Amplifier (복합 BiCMOS 트랜지스터의 회로 분석 및 그로 구성된 차동 증폭기의 설계기법에 관한 연구)

  • 송민규;김민규;박성진;김원찬
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.26 no.9
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    • pp.1359-1368
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    • 1989
  • In this paper, the composite BiCMOS transistor which combines a bipolar transistor and a MOS transistor in a cascade type, is analyzed in terms of I-V characteristics and small signal equivalent circuit. As a result, it has a larger driving capability than MOS transistor and a more extended rante of input voltage than bipolar transistor. Next, a BiCMOS differential amplifier as its application example is designed and compared with the CMOS one and the bipolar one. It increases the driving capability of the CMOS differential amp and improves the linear operation region of the bipolar differential amp.

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EXISTENCE OF SOLUTIONS OF A CLASS OF IMPULSIVE PERIODIC TYPE BVPS FOR SINGULAR FRACTIONAL DIFFERENTIAL SYSTEMS

  • Liu, Yuji
    • Korean Journal of Mathematics
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    • v.23 no.1
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    • pp.205-230
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    • 2015
  • A class of periodic type boundary value problems of coupled impulsive fractional differential equations are proposed. Sufficient conditions are given for the existence of solutions of these problems. We allow the nonlinearities p(t)f(t, x, y) and q(t)g(t, x, y) in fractional differential equations to be singular at t = 0, 1 and be involved a sup-multiplicative-like function. So both f and g may be super-linear and sub-linear. The analysis relies on a well known fixed point theorem. An example is given to illustrate the efficiency of the theorems.

Design of Nearest Prototype Classifier by using Differential Evolutionary Algorithm (차분진화 알고리즘을 이용한 Nearest Prototype Classifier 설계)

  • Roh, Seok-Beom;Ahn, Tae-Chon
    • Journal of the Korean Institute of Intelligent Systems
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    • v.21 no.4
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    • pp.487-492
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    • 2011
  • In this paper, we proposed a new design methodology to improve the classification performance of the Nearest Prototype Classifier which is one of the simplest classification algorithm. To optimize the position vectors of the prototypes in the nearest prototype classifier, we use the differential evolutionary algorithm. The optimized position vectors of the prototypes result in the improvement of the classification performance. The new method to determine the class labels of the prototypes, which are defined by the differential evolutionary algorithm, is proposed. In addition, the experimental application covers a comparative analysis including several previously commonly encountered methods.

A Study on the Smoke Control in Pressure Differential Systems (급기가압 제연댐퍼 위치에 따른 방연풍속특성 및 성능개선방안에 관한 연구)

  • Bae, Sang-Hwan
    • Proceedings of the Korea Institute of Fire Science and Engineering Conference
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    • 2011.04a
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    • pp.239-244
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    • 2011
  • This study is aimed to develop fundamental technology on the smoke control method by simulation model and scale model simulation technique in pressure differential systems. Thereby, this research aimed to establish design elements and technologies required for smoke control system that is suitable to pressure differential systems of the high-rise buildings in order to minimize the loss of lives and property damage in case of fire.

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Vibration Analysis of Curved Beams Using Differential Quadrature (수치해석(미분구적법 DQM)을 이용한 곡선보의 진동분석)

  • Ki-Jun Kang
    • Journal of the Korean Society of Safety
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    • v.14 no.1
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    • pp.199-207
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    • 1999
  • The differential quadrature method (DQM) is applied to computation of eigenvalues of the equations of motion governing the free in-plane and out-of-plane vibrations for circular curved beams. Fundamental frequencies are calculated for the members with various end conditions and opening angles. The results are compared with existing exact solutions and numerical solutions by other methods (Rayleigh-Ritz, Galerkin or FEM) for cases in which they are available. The differential quadrature method gives good accuracy even when only a limited number of grid points is used.

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