• Title/Summary/Keyword: taylor-series

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Stress Field and Deformation Energy of Inhomogeneous Preeipitates (비균질성 석출물 의 응력장 과 변형에너지 I)

  • 최병익;엄윤용
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.9 no.1
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    • pp.31-39
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    • 1985
  • Using the tensor elastic Green functions an exact integral equation is formulated for two anisotropic precipitates embedded in an infinite anisotropic matrix; the matrix is subjected to an applied strain field or the precipitates undergo a stress-free transformation strain. This equation is reduced to an infinite system of algebraic equations by expanding the strains in Taylor series about the two points within each precipitate, and an approximation of the strain distributions within the two spherical precipitates is obtained by truncating the higher order terms. Since the present method requires no symmetry conditio between the two shperical precipitates, it is possible to obtain the strain distribution within the precipitates when the elastic constants and/or the sizes of the precipitates are different each other. The strains are expanded about arbitrary points, giving more accurate distributions of the strains than those presented elsewhere. The present method can be directly estended to the case of more than two spherical precipitates.

Quadratic Newton-Raphson Method for DC and Transient Analyses of Electronic Circuits (電子回路의 DC 및 過渡解析을 위한 2次 Newton-Raphson 方法)

  • Jun, Young-Hyun;Lee, Ki-Jun;Park, Song-Bai
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.26 no.1
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    • pp.122-128
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    • 1989
  • In this paper we propose a new method for solving a set of nonlinear algebraic equations encountered in the DC and transient analyses of electronic circuits. This method will be called Quadratic Newton-Raphson Method (QNRM), since it is based on the Newton-Raphson Method (NRM) but effectively takes into accoujnt the second order derivative terms in the Taylor series expansion of the nonlinear algebraic equations. The second order terms are approximated by linear terms using a carefully estimated solution at each iteration. Preliminary simulation results show that the QNRM saves the overall computational time significantly in the DC and transient analysis, compared with the conventional NRM.

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Optimal Design of Frame Structures with Different Cross-Sectional Shapes (여러 단면형상을 갖는 뼈대구조물의 최적설계)

  • Han, Sang Hoon;Lee, Woong Jong
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.13 no.4
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    • pp.27-37
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    • 1993
  • An efficient method to solve the minimum weight design problem for frame structures subjected to stress and displacement constraints is presented. The different cross-sectional shapes are conside red in order to apply engineering design in which usually required custom fabrication. To increase the efficiency of the optimization process, the structural response quantities(nodal forces, displacements) are linearized with respect to cross-sectional properties or their reciprocal, based on first order Taylor series expansion, while cross-sectional dimensions are considered as design variables. Numerical examples are performed and compared with other methods to demonstrate the efficiency and reliability of approximation method for frame structural optimization with different cross-sectional shapes. It is shown that the number of finite element analysis is greatly reduced and it leads to a highly efficient method of optimization of frame structures.

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Multiple Target Angle Tracking Algorithm Using Angular Innovation Extracted from Signal Subspace (신호 부공간에서 구한 방위각 이노베이션을 이용한 다중표적 방위각 추적 알고리즘)

  • Ryu, Chang-Soo;Lee, Su-Hyoung;Lee, Kyun-Kyung
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.36S no.12
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    • pp.20-26
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    • 1999
  • In this paper, a multiple target angle tracking algorithm that can avoid data association problem and has a simple structure is proposed by obtaining the angular innovation of the targets from a signal subspace. The signal subspace is recursively estimated by a signal subspace tracking algorithm, such as PAST. A nonlinear matrix equation which satisfy the estimated signal subspace and the angular innovation is induced and expanded into a Taylor series for linear approximation. The angular innovation is obtained by solving the approximated linear matrix equation in the least square sense. The good performance of the proposed algorithm is demonstrated by various computer simulations.

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MAC for MIMO Nonlinear System with Delayed Input (시간지연 MIMO 비선형시스템의 MAC 제어기 설계)

  • Zhang, Yuanliang;Kim, Hong-Chul;Chong, Kil-To
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.46 no.2
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    • pp.52-60
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    • 2009
  • This paper proposes a digital controller for a nonlinear multi-input/multi-output(MIMO) system with time-delayed input. A nonlinear system with multi-input time delay is discretized using Taylor's discretization method, and the discretized system can be converted into a general nonlinear system. Consequently, general nonlinear controller synthesis can be applied to the discretized time-delay system We adopted MAC controller synthesis and verified the performance of the proposed method by conducting computer simulations. The results of the simulation showed that the proposed controller synthesis performs well and the proposed method is useful for controlling a nonlinear time-delay system.

A Study on the Expanded Theory of Sequential Multiple-valued Logic Circuit (순서다치논리회로의 파장이론에 관한 연구)

  • 이동열;최승철
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.12 no.6
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    • pp.580-598
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    • 1987
  • This paper presents a method to realize the sequential multiple-valued Logic on Galois field. First, We develop so that Taylor series can be corresponded the irreducible polynomial to realize over the finite field, and produce the matrix. This paper object expanded a basic concept of the conbinational Logic circuit so as to apply in the sequential Logic circuit. First of all, We suggest a theory for constructing sequential multiple-valued Logic circuit. Then, We realized the construction with the single input and the multi-output that expanded its function construction. In case of the multi-output, the circuit process by the partition function concept as the mutual independent. This method can be reduced a enormous computer course to need a traditional extention that designed the sequential multi-valued Logic circuit.

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Analysis of Time Domain Active Sensing Data from CX-100 Wind Turbine Blade Fatigue Tests for Damage Assessment

  • Choi, Mijin;Jung, Hwee Kwon;Taylor, Stuart G.;Farinholt, Kevin M.;Lee, Jung-Ryul;Park, Gyuhae
    • Journal of the Korean Society for Nondestructive Testing
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    • v.36 no.2
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    • pp.93-101
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    • 2016
  • This paper presents the results obtained using time-series-based methods for structural damage assessment. The methods are applied to a wind turbine blade structure subjected to fatigue loads. A 9 m CX-100 (carbon experimental 100 kW) blade is harmonically excited at its first natural frequency to introduce a failure mode. Consequently, a through-thickness fatigue crack is visually identified at 8.5 million cycles. The time domain data from the piezoelectric active-sensing techniques are measured during the fatigue loadings and used to detect incipient damage. The damage-sensitive features, such as the first four moments and a normality indicator, are extracted from the time domain data. Time series autoregressive models with exogenous inputs are also implemented. These features could efficiently detect a fatigue crack and are less sensitive to operational variations than the other methods.

Repetitive model refinement for structural health monitoring using efficient Akaike information criterion

  • Lin, Jeng-Wen
    • Smart Structures and Systems
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    • v.15 no.5
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    • pp.1329-1344
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    • 2015
  • The stiffness of a structure is one of several structural signals that are useful indicators of the amount of damage that has been done to the structure. To accurately estimate the stiffness, an equation of motion containing a stiffness parameter must first be established by expansion as a linear series model, a Taylor series model, or a power series model. The model is then used in multivariate autoregressive modeling to estimate the structural stiffness and compare it to the theoretical value. Stiffness assessment for modeling purposes typically involves the use of one of three statistical model refinement approaches, one of which is the efficient Akaike information criterion (AIC) proposed in this paper. If a newly added component of the model results in a decrease in the AIC value, compared to the value obtained with the previously added component(s), it is statistically justifiable to retain this new component; otherwise, it should be removed. This model refinement process is repeated until all of the components of the model are shown to be statistically justifiable. In this study, this model refinement approach was compared with the two other commonly used refinement approaches: principal component analysis (PCA) and principal component regression (PCR) combined with the AIC. The results indicate that the proposed AIC approach produces more accurate structural stiffness estimates than the other two approaches.

The Change of Clothing Expenditures and its Determinants in Korean A Time-series Analysis (Part ll) (우리나라 소비자의 피복비 지출구조 변화양상과 결정요인에 대한 종적 연구(제2보))

  • 정수진;이은영
    • Journal of the Korean Society of Clothing and Textiles
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    • v.21 no.7
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    • pp.1139-1152
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    • 1997
  • Clothing consumption expenditure (UX) data of Korean consumers during the period of 1965 to 1993 were analyzed by time series analysis technique. According to the results of regression analysis, current income and UX of the year before showed most significant influences on the current UX. This means that the absolute and permanent income hypotheses can be accepted in case of clothing expenditures. However the effect of income decreased as the economy developed. The relative price of clothing had weak or no influence on clothing expenditures. It was also found out that CSX of the year before, the change of income, relative price of clothing ware the factors that affected clothing expenditures. From the estimation of Houthakker-Taylor state adjustment model, a negative stock coefficient was obtained. That is, clothing is subject to an inventor effect and Korean consumers regard clothing as one of the durable goods. To define whether clothing is a "luxury" or a "necessity", income and relative price elasticity of clothing expenditures were estimated. Income elasticity of clothing is slightly below 1.0 in case of national aggregate expenditures, and slightly above 1.0 in case of urban consumers' expenditures. Income elasticity has declined over time. Meanwhile the coefficient of price elasticity is not significant, indicating that the relative price of clothing have little connection with clothing expenditure.lothing expenditure.

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On the Added Resistance of a Ship in a Regular Head Sea (종규칙파중(縱規則波中)에서의 선박(船舶)의 부가저항(附加抵抗) 계산(計算))

  • Hyo-Chul,Kim
    • Bulletin of the Society of Naval Architects of Korea
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    • v.20 no.3
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    • pp.17-20
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    • 1983
  • There have been many investigations of predicting the added resistance of a ship in seaway since Havelock discussed this topic in 1937. Among these researches, Maruo's theoretical approach is known as the most consistent mathematical representation for added resistance of a ship in regular head sea. In his theory, the hull form of a ship is represented under the slender body approximation. But the motion responses which were used for the calculation of the added resistance have been obtained by using the strip method which is based on an approximation that the hull form may be expressed as set of two dimensional cylinder sections in longitudinal direction. Therefore two different methods for hull form representation were implicity used in Maruo's original work for the added resistance calculation. Utilizing the characteristics that hull forms are usually slender, Kan expressed the hull form as two dimensional cylinder at each station by using the Taylor series expansion for the length wise direction. Putting this idea into Maruo's original work, the added resistance can be obtained with the explicitly unique representation of the hull form. For the purpose of comparison the added resistance of a hull form(series 60, Cb=0.6) was calculated by using the motion response obtained by Shintani. The numerical result showes a good qualitative agreement with the experimental result by Sibul.

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