• Title/Summary/Keyword: Series Expansion

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New implicit higher order time integration for dynamic analysis

  • Alamatian, Javad
    • Structural Engineering and Mechanics
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    • v.48 no.5
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    • pp.711-736
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    • 2013
  • In this paper new implicit time integration called N-IHOA is presented for dynamic analysis of high damping systems. Here, current displacement and velocity are assumed to be functions of the velocities and accelerations of several previous time steps, respectively. This definition causes that only one set of weighted factors is calculated from the Taylor series expansion which leads to a simple approach and reduce the computational efforts. Moreover a comprehensive study on stability of the proposed method i.e., N-IHOA compared with IHOA integration which is performed based on amplification matrices proves the ability of the N-IHOA in high damping vibrations such as control systems. Also, wide range of numerical examples which contains single/multi degrees of freedom, damped/un-damped, free/forced vibrations from finite element/finite difference demonstrate that the accuracy and efficiency of the proposed time integration is more than the common approaches such as the IHOA, the Wilson-${\theta}$ and the Newmark-${\beta}$.

Thermo-mechanical analysis of carbon nanotube-reinforced composite sandwich beams

  • Ebrahimi, Farzad;Farazamandnia, Navid
    • Coupled systems mechanics
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    • v.6 no.2
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    • pp.207-227
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    • 2017
  • In this paper Timoshenko beam theory is employed to investigate the vibration characteristics of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) Beams with a stiff core in thermal environment. The material characteristic of carbon nanotubes (CNT) are supposed to change in the thickness direction in a functionally graded form. They can also be calculated through a micromechanical model where the CNT efficiency parameter is determined by matching the elastic modulus of CNTRCs calculated from the rule of mixture with those gained from the molecular dynamics simulations. The differential transform method (DTM) which is established upon the Taylor series expansion is one of the effective mathematical techniques employed to the differential governing equations of sandwich beams. Effects of carbon nanotube volume fraction, slenderness ratio, core-to-face sheet thickness ratio, different thermal environment and various boundary conditions on the free vibration characteristics of FG-CNTRC sandwich beams are studied. It is observed that vibration response of FG-CNTRC sandwich beams is prominently influenced by these parameters.

A Prediction of Behavior of Compacted Granite Soils Based on the Elasto-Plastic Constitutive Model (탄,소성 구성모델을 이용한 다짐화강토의 응력-변형률 거동예측)

  • 이강일
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.40 no.2
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    • pp.148-158
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    • 1998
  • The aims of this study are to evaluate the application on the stress-strain behavior of granite Soil using Lade's double work hardening constitutive model based on the theories of elasticity and plasticity. From two different sites of construction work, two disturbed and compacted weathered granite samples which are different in partical size and degree of weathering respectively were obtained. The specimen employed were sampled at Iksan and Pochon in order to predict the constitutive model. Using the computer program based on the regression analysis, 11 soil parameters for the model were determined from the simple tests such as an isotropic compression-expansion test and a series of drained conventional triaxial tests. In conclusion, it is shown that Lade's double work hardening model gives the good applicability for processing of stress-strain, work-hardening, work-softening and soil dilatancy. Therefore, this model in its present form is applicable to the compacted decomposed granite soil.

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Development of Digital Watermark Embedding Algorithm using Fourier Series Expansion (푸리에 급수전개를 이용한 워터마크 삽입 알고리즘의 개발)

  • Min, Jun-Yeong;Choe, Jong-Uk
    • Journal of KIISE:Computer Systems and Theory
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    • v.26 no.6
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    • pp.662-669
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    • 1999
  • Digital watermarking이란 영상이나 비디오, 오디오, 텍스트 등의 저작물에 잘 식별되지 않는 표시를 삽입하여 저작권을 보호하는 방법으로 소유권자의 동의없이 저작물을 배포, 복사되는 것을 방지하는 법이다. 본 논문은 watermark를 삽입하기 위해서 sin과 cos 함수를 이용한 Fourier 급수전개를 이용하였다. 우선 , 원 이미지를 주파수 영역으로 변환한 다음 watermark를 삽입할 위치를 M $\times$Nro의 Random Sequence를 발생하여 결정하였으며, M개의 파형을 가장 직교성이 좋다고 하는 sin 함수와 cos 함수를 이용하여 Fourier 급수전개를 하였다. 이 때, sin과 cos의 n의 고조파 역시 Random Sequence를 발생하여 결정하였다. 제안한 알고리즘은 이와 같이 Fourier 급수전개를 했을 때 각 항의 Fourier 계수를 산출하여 이 Fourier 계수에 watermark를 삽입하였다. 실험 결과 JPEG 압축, Blurring, 노이즈삽입 등의 이미지 왜곡에 대하여 watermark 상관관계가 최소 0.1979에서 최대 0.9732까지의 견고성(robustness)을 보였다.

A Construction Theory of Combinational Multiple Valued Circuits by Modular Decomposition (모듈 분할 방식에 의한 조합 다치 논리 회로 구성이론)

  • 강성수;이주형;김흥수
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.14 no.5
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    • pp.503-510
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    • 1989
  • This paper represents a method which construct Combinational Mutiple Valued Logic circuits. First, it constructs Combinational Multiple Valued Logic Cell as the input variable, Then, it can be applied to the general case by expanding ti, thus these series of process is simple and regular. The construction theory of Combinational Multiple Valued Logic circuits, representes here has regularity, simplicity and modularity, especially, in case imput variables are incresed this theory also has characteristics of expansion.

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Statistical Properties of Intensity-Based Image Registration Methods

  • Kim, Jeong-Tae
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.30 no.11C
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    • pp.1116-1124
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    • 2005
  • We investigated the mean and variance of the MSE and the MI-based image registration methods that have been widely applied for image registration. By using the first order Taylor series expansion, we have approximated the mean and the variance for one-dimensional image registration. The asymptotic results show that the MSE based method is unbiased and efficient for the same image registration problem while the MI-based method shows larger variance. However, for the different modality image registration problem, the MSE based method is largely biased while the MI based method still achieves registration. The results imply that the MI based method achieves robustness to the different image modalities at the cost of inefficiency. The analytical results are supported by simulation results.

An Analytical Calculation of the Transport of the Solute Dumped in a Homogeneous Open Sea with Mean and Oscillatory Flows

  • Lee Ho Jin;Jung Kyung Tae
    • Fisheries and Aquatic Sciences
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    • v.7 no.2
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    • pp.90-95
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    • 2004
  • An analytical model for predicting the convection-diffusion of solute dumped in a homogeneous open sea of constant water depth has been developed in a time-integral form. The model incorporates spatially uniform, uni-directional, mean and oscillatory currents for horizontal convection, the settling velocity for the vertical convection, and the anisotropic turbulent diffusion. Two transformations were introduced to reduce the convection-diffusion equation to the Fickian type diffusion equation, and then the Galerkin method was then applied via the expansion of eigenfunctions over the water column derived from the Sturm-Liouville problem. A series of calculations has been performed to demonstrate the applicability of the model.

Controller Synthesis for Nonlinear Systems with Time-delay using Model Algorithmic Control (MAC)

  • Choi, Hyung-Jo;Chong, Kil-To
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.566-570
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    • 2005
  • A digital controller for nonlinear time-delay system is proposed in this paper. A nonlinear time-delay system is discretized by using Taylor's discretization method. And the discretized system can be converted to a general nonlinear system. For this reason, general nonlinear controller synthesis can be applied to the discretized time-delay system. We adopted MAC controller synthesis for this study. Computer simulations are conducted to verify the performance of the proposed method. The results of simulation show good performance of the proposed controller synthesis and the proposed method is useful to control nonlinear time-delay system easily.

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Controller Structure and Performance According to Linearization Methods in the Looper ILQ Control for Hot Strip Finishing Mills (열간사상압연기의 루퍼 ILQ 제어에 있어 선형화 기법에 따른 제어기 구조 및 성능)

  • Park, Cheol-Jae;Hwang, I-Cheol
    • Journal of Institute of Control, Robotics and Systems
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    • v.13 no.4
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    • pp.377-384
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    • 2007
  • This paper studies on the relation between linearization methods and controller gains in the looper ILQ(lnverse Linear Quadratic optimal control) system for hot strip finishing mills. Firstly, two linear models arc respectively derived by a linearization method using Taylor's series expansion and a static state feedback linearization method, respectively, and the linear models are compared with the nonlinear model. Secondly, the looper servo controllers are respectively designed on the basis of two linearization models. Finally, the relation between the performances of two ILQ servo controllers and the linearization methods, and the structures and control gains of two controllers are evaluated by a computer simulation.

Capacitive compensation and consequent bandwidth expansion of 2.5 Gbps optical transmitter module (2.5Gbps 광송신 모듈의 용량선 보상 및 대역폭 확대)

  • 김성일;김상배;이해영
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.33A no.7
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    • pp.216-222
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    • 1996
  • Since many typical 2.5 Gbps optical transmitter modules use a 50$\Omega$ characteristic impedance, they require relatively high voltage and high power sources compared to the 25$\Omega$ module. However, simple replacement of the 50$\Omega$ internal matching impedance with 25$\Omega$ results in bandwidth reduction and consequent problem of data transmitter module is proposed in order to expand the modulator bandwidth. From the calculated resutls based on accurate 3-dimensional inductance analysis, we have found that the series parasitic inductance is a dominant element limiting the bandwidth and the insertion of a 2.5pF capacitor in parallel to the 20$\Omega$ matching resiter can increase the 3 dB bandwidth about 1.4GHz wider. The time-domain results show the rise time (140 psec) without the compensation is greatly improved to 63 psec with the compensation. This capacitive ocmpensation can be implemented easily and be compatible with common manufacturing process of the optical transmitter module.

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