• Title/Summary/Keyword: Taylor Expansion

Search Result 190, Processing Time 0.03 seconds

Location and Gain/Phase Calibration Techniques for Array Sensors with known Sources (기준신호원을 이용한 배열센서의 위치, 이득, 위상 보정기법)

  • Yoo, Seong Ki;Lee, Tae Beom;Shin, Ki Young
    • Journal of the Institute of Electronics and Information Engineers
    • /
    • v.49 no.9
    • /
    • pp.155-163
    • /
    • 2012
  • The geometrical and electrical errors of array sensors can severely degrade the performance of array sensor system. Various calibration techniques are developed to alleviate this problem. In this paper, two different calibration methods with respect to location, gain and phase of array sensors are presented. One method applies the first-order Taylor series expansion to approximate the true steering vector from the nominal values of array sensors. Then a set of equations is formed by using the null characteristics of the MUSIC spectrum to estimate errors of location, gain and phase of array sensors. Another method estimates these errors based on the data covariance matrix of pilot sources. From the simulations, it is demonstrated that two calibration algorithms calibrated an array system successfully. In addition to that, Fistas and Manikas's algorithm is more robust against noise than Ng and Lie's one when SNR is from 10dB to 50dB.

The Impact of Information Technology Investment on Cost Reduction in Korean Insurance Industry (한국 생명보험산업의 정보화투자와 비용절감)

  • Lee Young-Soo;Jung Kun-Oh
    • Journal of Korea Technology Innovation Society
    • /
    • v.9 no.1
    • /
    • pp.175-198
    • /
    • 2006
  • Analyzing the effects of information technology(IT) in the life insurance Industry is important in establishing the direction for future information technology investment. In this research, the cost-elasticity of IT capital stock was measured by the SUR technique, using the second-order translog cost function, which was drawn out by a Taylor expansion of the multi-product joint cost function. Analysis was made based on data from 1991 to 2003 collected from 33 life insurance firms. The results show that although the effects of information technology investment vary according to individual life insurance firms, half of the life insurance firms surveyed reduced their costs by investing in information technology. The research also revealed that although large life insurance firms reduced their costs by investing in information technology medium & small life insurance firms and foreign ,life insurance firms increase their costs. Additionally, although both information capital and information labor increase as the information budget increases, the increase in information capital is larger than one in information labor. Because the price of information capital is decreased rapidly more than one of information-related labor.

  • PDF

Modeling of Magentic Levitation Logistics Transport System Using Extreme Learning Machine (Extreme Learning Machine을 이용한 자기부상 물류이송시스템 모델링)

  • Lee, Bo-Hoon;Cho, Jae-Hoon;Kim, Yong-Tae
    • Journal of the Institute of Electronics and Information Engineers
    • /
    • v.50 no.1
    • /
    • pp.269-275
    • /
    • 2013
  • In this paper, a new modeling method of a magnetic levitation(Maglev) system using extreme learning machine(ELM) is proposed. The linearized methods using Taylor Series expansion has been used for modeling of a Maglev system. However, the numerical method has some drawbacks when dealing with the components with high nonlinearity of a Maglev system. To overcome this problem, we propose a new modeling method of the Maglev system with electro magnetic suspension, which is based on ELM with fast learning time than conventional neural networks. In the proposed method, the initial input weights and hidden biases of the method are usually randomly chosen, and the output weights are analytically determined by using Moore-Penrose generalized inverse. matrix Experimental results show that the proposed method can achieve better performance for modeling of Maglev system than the previous numerical method.

Development of WMLS-based Particle Simulation Method for Solving Free-Surface Flow (자유표면 유동해석을 위한 WMLS 기반 입자법 기술 개발)

  • Nam, Jung-Woo;Park, Jong-Chun;Park, Ji-In;Hwang, Sung-Chul;Heo, Jae-Kyung;Jeong, Se-Min
    • Journal of Ocean Engineering and Technology
    • /
    • v.28 no.2
    • /
    • pp.93-101
    • /
    • 2014
  • In general, particle simulation methods such as the MPS(Moving Particle Simulation) or SPH(Smoothed Particle Hydrodynamics) methods have some serious drawbacks for pressure solutions. The pressure field shows spurious high fluctuations both temporally and spatially. It is well known that pressure fluctuation primarily occurs because of the numerical approximation of the partial differential operators. The MPS and SPH methods employ a pre-defined kernel function in the approximation of the gradient and Laplacian operators. Because this kernel function is constructed artificially, an accurate solution cannot be guaranteed, especially when the distribution of particles is irregular. In this paper, we propose a particle simulation method based on the moving least-square technique for solving the partial differential operators using a Taylor-series expansion. The developed method was applied to the hydro-static pressure and dam-broken problems to validate it.

Evaluation of Position Error and Sensitivity for Ultrasonic Wave and Radio Frequency Based Localization System (초음파와 무선 통신파 기반 위치 인식 시스템의 위치 오차와 민감도 평가)

  • Shin, Dong-Hun;Lee, Yang-Jae
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.34 no.2
    • /
    • pp.183-189
    • /
    • 2010
  • A localization system for indoor robots is an important technology for robot navigation in a building. Our localization system imports the GPS system and consists of more than 3 satellite beacons and a receiver. Each beacon emits both an ultrasonic wave and radio frequency. The receiver in the robot computes the distance from it to the beacon by measuring the flying time difference between ultrasonic wave and radio frequency. It then computes its position with the distance information from more than 3 beacons whose positions are known. However, the distance information includes errors caused from the ultrasonic sensors; we found it to be limited to within one period of a wave (${\pm}2\;cm$ tolerance). This paper presents a method for predicting the maximum position error due to distance information errors by using Taylor expansion and singular value decomposition (SVD). The paper also proposes a measuring parameter such as sensitivity to represent the accuracy of the indoor robot localization system in determining the robot's position with regards to the distance error.

Modeling of Size-Dependent Strengthening in Particle-Reinforced Aluminum Composites with Strain Gradient Plasticity (변형률 구배 소성을 고려한 입자 강화 알루미늄 복합재의 크기 종속 강화 모델링)

  • Suh, Yeong-Sung;Park, Moon-Shik;Song, Seung
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.35 no.7
    • /
    • pp.745-751
    • /
    • 2011
  • This study proposes finite element modeling of dislocation punching at cooling after consolidation in order to calculate the strength of particle-reinforced aluminum composites. The Taylor dislocation model combined with strain gradient plasticity around the reinforced particle is adopted to take into account the size-dependency of different volume fractions of the particle. The strain gradients were obtained from the equivalent plastic strain calculated during the cooling of the spherical unit cell, when the dislocation punching due to CTE (Coefficient of Thermal Expansion) mismatch is activated. The enhanced yield stress was observed by including the strain gradients, in an average sense, over the punched zone. The tensile strength of the SiCp/Al 356-T6 composite was predicted through the finite element analysis of an axisymmetric unit cell for various sizes and volume fractions of the particle. The predicted strengths were found to be in good agreement with the experimental data. Further, the particle-size dependency was clearly established.

A complete S-shape feed rate scheduling approach for NURBS interpolator

  • Du, Xu;Huang, Jie;Zhu, Li-Min
    • Journal of Computational Design and Engineering
    • /
    • v.2 no.4
    • /
    • pp.206-217
    • /
    • 2015
  • This paper presents a complete S-shape feed rate scheduling approach (CSFA) with confined jerk, acceleration and command feed rate for parametric tool path. For a Non-Uniform Rational B-Spline (NURBS) tool path, the critical points of the tool path where the radius of curvature reaches extreme values are found firstly. Then, the NURBS curve is split into several NURBS sub-curves or blocks by the critical points. A bidirectional scanning strategy with the limitations of chord error, normal/tangential acceleration/jerk and command feed rate is employed to make the feed rate at the junctions between different NURBS blocks continuous. To improve the efficiency of the feed rate scheduling, the NURBS block is classified into three types: short block, medium block and long block. The feed rate profile corresponding to each NURBS block is generated according to the start/end feed rates and the arc length of the block and the limitations of tangential acceleration/jerk. In addition, two compensation strategies are proposed to make the feed rate more continuous and the arc increment more precise. Once the feed rate profile is determined, a second-order Taylor's expansion interpolation method is applied to generate the position commands. Finally, experiments with two free-form NURBS curves are conducted to verify the applicability and accuracy of the proposed method.

Investigation of Spark Discharge in Water as a Source of Mechanical Actuation

  • Taylor, Nathaniel D.;Fridman, Gregory;Fridman, Alexander;Dobrynin, Danil
    • Proceedings of the Korean Vacuum Society Conference
    • /
    • 2014.02a
    • /
    • pp.258-258
    • /
    • 2014
  • Spark discharge in water generates shockwaves which have been utilized to generate mechanical actuation for potential use in pumping application. Discharge pulses of several microseconds generate shockwaves and vapor bubbles which subsequently displace the water for a period of milliseconds. Through the use of a sealed discharge chamber and metal bellow spring, the fluid motion can be used create an oscillating linear actuator. Continuous actuation of the bellow has been demonstrated through the use of high frequency spark discharge. Discharge in water forms a region of high electric field around the electrode tip which leads to the creation of a thermal plasma channel. This process produces fast thermal expansion, vapor and bubble generation, and a subsequent shockwave in the water which creates physical displacement of the water [1]. Previous work was been conducted to utilize the shockwave effect of spark discharge in water for the inactivation of bacteria, removal of mineral fouling, and the formation of sheet metal [2-4]. Pulses ranging from 25 to 40 kV and 600 to 900 A are generated inside of the chamber and the bellow motion is captured using a slow motion video camera. The maximum displacements measured are from 0.7 to 1.2 mm and show that there is a correlation between discharge energy input to the water and the displacement that is generated. Subsequent oscillations of the bellow are created by the spring force of the bellow and vapor in the chamber. Using microsecond shutter speed ICCD imaging, the development of the discharge bubble and spark can be observed and measured.

  • PDF

Modeling and State Observer Design for Roll Slip in Cold Cluster Mills (냉간압연 다단 압연기의 롤 슬립 모델링 및 상태 관측기 설계)

  • Kang, Hyun Seok;Hong, Wan Kee;Hwang, I Cheol
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.36 no.12
    • /
    • pp.1543-1549
    • /
    • 2012
  • This study focuses on the state space model and the design of a state observer for the slip dynamics between rolls in STS cold cluster mills. First, a mathematical model of the roll slip is given as a nonlinear differential equation. Then, by using a Taylor series expansion, it is linearized as a state space model. Next, by using Gopinath's algorithm, a minimal-order state observer based on the state space model is designed to estimate the angular speed of all idle rolls except for an actuated roll that is measureable. Finally, a computer simulation is used to validate that the proposed state space model very well describes slip dynamics between, and moreover, the state observer very well estimates the angular speed of the idle roll.

On the Improvement of the Accuracy of Higher Order Derivatives in the MLS(Moving Least Square) Difference Method via Mixed Formulation (MLS 차분법의 결정 변수에 따른 정확도 분석 및 혼합변분이론을 통한 미분근사 성능향상)

  • Kim, Hyun-Young;Kim, Jun-Sik
    • Journal of the Computational Structural Engineering Institute of Korea
    • /
    • v.33 no.5
    • /
    • pp.279-286
    • /
    • 2020
  • In this study, we investigate the accuracy of higher order derivatives in the moving least square (MLS) difference method. An interpolation function is constructed by employing a Taylor series expansion via MLS approximation. The function is then applied to the mixed variational theorem in which the displacement and stress resultants are treated as independent variables. The higher order derivatives are evaluated by solving simply supported beams and cantilevers. The results are compared with the analytical solutions in terms of the order of polynomials, support size of the weighting function, and number of nodes. The accuracy of the higher order derivatives improves with the employment of the mean value theorem, especially for very high-order derivatives (e.g., above fourth-order derivatives), which are important in a classical asymptotic analysis.