• 제목/요약/키워드: linearity and Nonlinearity

검색결과 105건 처리시간 0.023초

An Evolutionary Optimized Algorithm Approach to Compensate the Non-linearity in Linear Variable Displacement Transducer Characteristics

  • Murugan, S.;Umayal, S.P.
    • Journal of Electrical Engineering and Technology
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    • 제9권6호
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    • pp.2142-2153
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    • 2014
  • Linearization of transducer characteristic plays a vital role in electronic instrumentation because all transducers have outputs nonlinearly related to the physical variables they sense. If the transducer output is nonlinear, it will produce a whole assortment of problems. Transducers rarely possess a perfectly linear transfer characteristic, but always have some degree of non-linearity over their range of operation. Attempts have been made by many researchers to increase the range of linearity of transducers. This paper presents a method to compensate nonlinearity of Linear Variable Displacement Transducer (LVDT) based on Extreme Learning Machine (ELM) method, Differential Evolution (DE) algorithm and Artificial Neural Network (ANN) trained by Genetic Algorithm (GA). Because of the mechanism structure, LVDT often exhibit inherent nonlinear input-output characteristics. The best approximation capability of optimized ANN technique is beneficial to this. The use of this proposed method is demonstrated through computer simulation with the experimental data of two different LVDTs. The results reveal that the proposed method compensated the presence of nonlinearity in the displacement transducer with very low training time, lowest Mean Square Error (MSE) value and better linearity. This research work involves less computational complexity and it behaves a good performance for nonlinearity compensation for LVDT and has good application prospect.

Diffraction Corrections for Second Harmonic Beam Fields and Effects on the Nonlinearity Parameter Evaluation

  • Jeong, Hyunjo;Cho, Sungjong;Nam, Kiwoong;Lee, Janghyun
    • 비파괴검사학회지
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    • 제36권2호
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    • pp.112-120
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    • 2016
  • The nonlinearity parameter is frequently measured as a sensitive indicator in damaged material characterization or tissue harmonic imaging. Several previous studies have employed the plane wave solution, and ignored the effects of beam diffraction when measuring the non-linearity parameter ${\beta}$. This paper presents a multi-Gaussian beam approach to explicitly derive diffraction corrections for fundamental and second harmonics under quasilinear and paraxial approximation. Their effects on the nonlinearity parameter estimation demonstrate complicated dependence of ${\beta}$ on the transmitter-receiver geometries, frequency, and propagation distance. The diffraction effects on the non-linearity parameter estimation are important even in the nearfield region. Experiments are performed to show that improved ${\beta}$ values can be obtained by considering the diffraction effects.

로터 시스템 회전운동 선형 및 비선형성 (Linearity and Nonlinearity of Rotor System Analysis)

  • 윤성호;임리민
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2008년도 정기 학술대회
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    • pp.190-196
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    • 2008
  • The dynamical rotor system is investigated through the derivation and formulations of the dynamic equation of the rotating system in terms of both inertial and fixed frame of the system as well as quaternion. The investigation is aimed at analyzing the dynamical rotating system precession speed. The resulting equations of motion consist of the consistent mass matrix and gyroscopic matrix. The formulation shows its features and difference between its linearity and nonlinearity.

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TESTING FOR SMOOTH TRANSITION NONLINEARITY IN PARTIALLY NONSTATIONARY VECTOR AUTOREGRESSIONS

  • Seo, Byeong-Seon
    • Journal of the Korean Statistical Society
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    • 제36권2호
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    • pp.257-274
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    • 2007
  • This paper considers the tests for the presence of smooth transition non-linearity in the partially nonstationary vector autoregressive model. The transition parameters cannot be identified under the null hypothesis of linearity, and therefore this paper develops the tests for smooth transition nonlinearity, the associated asymptotic theory and the bootstrap inference. The Monte Carlo simulation evidence shows that the bootstrap inference generates moderate size and power performances.

Study of Wave Load Nonlinearity Effect On Fatigue Life in Component Stochastic Fatigue Analysis

  • Han Sungkon;Park Kyung-Won;Shin Hyun-Il;Heo Joo-Ho
    • Journal of Ship and Ocean Technology
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    • 제9권4호
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    • pp.11-22
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    • 2005
  • This paper addresses details of wave load nonlinearity effect on stress RAO and damage ratio using component stochastic fatigue analysis. Traditional spectral fatigue analysis for ship structure is based on linear theory; however, there are a number of nonlinearity sources. Especially loading nonlinearity, such as hydrodynamic pressure applying to ship side and gravity changes due to roll and pitch motion, is thought to critically violate the linearity assumption of spectral fatigue analysis, which involves stress RAO as linear parameter. The main focus is placed on how to idealize complicated characteristics of loading nonlinearity and how to implement the nonlinear bias to linear spectral fatigue analysis.

정전용량형 변위 센서 신호 처리 회로 개발 및 성능 평가 (Development of a Signal Conditioning Circuit for Capacitive Displacement Sensors and Performance Evaluation)

  • 김종안;김재완;엄태봉;강주식
    • 한국정밀공학회지
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    • 제24권9호
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    • pp.60-67
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    • 2007
  • A signal conditioning circuit for capacitive displacement sensors was developed using a high frequency modulation/demodulation method, and its performance was evaluated. Since capacitive displacement sensors can achieve high resolution and linearity, they have been widely used as precision sensors within the range of several hundred micrometers. However, they inherently have a limitation in low frequency range and some nonlinearity characteristics and so a specially designed signal conditioning circuit is needed to handle these properties. The developed signal processing circuit consists of three parts: linearization, modulation/demodulation, and nonlinearity compensation. Each part was constructed discretely using several IC chips and passive elements. An evaluation system for precision displacement sensors was developed using a laser interferometer, a precision stage, and a PID position controller. The signal processing circuit was tested using the evaluation system in the respect of resolution, repeatability, linearity, and so on. From the experimental results, we know that a highly linear voltage output can be obtained successfully, which is proportional to displacement and the nonlinearity of output is less than 0.02% of full range. However, in the future, further investigation is required to reduce noise level and phase delay due to a low-pass filter. The evaluation system also can be applied effectively to calibration and evaluation of precision sensors and stages.

재료비선형을 고려한 복합적층판의 진동해석 (Vibration Analysis of Composite Laminated Plates Considered in Material-Nonlinearity)

  • 석근영;강주원;신영식
    • 한국공간구조학회논문집
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    • 제6권4호
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    • pp.45-52
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    • 2006
  • 재료적으로 강한 비선형성을 나타내는 FRP 복합적층판을 진동해석을 수행하였다. 적층판의 적층각도와 순서에 따른 선형해석의 결과와 비선형해석의 결과를 비교, 검토하였다. 본 연구는 FRP 복합적층판의 비선형해석시 동적거동 특성을 예측하기 위한 기초적 연구로써 변위를 비교, 분석한다.

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자속경로 단면적 및 공극변화를 이용한 인던턴스형 초정밀 변위측정 시스템 (A Comparative Study of a Variable Overlap-area Type and Conventional Types in the Inductive Precision Position Measurement System)

  • 최동준;최인묵;김수현
    • 대한기계학회논문집A
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    • 제26권2호
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    • pp.254-259
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    • 2002
  • A variable air-gap type system is widely used for inductive precision position measurement systems. This type transducer has high sensitivity but lacks a linear measurement range due to structural nonlinearity. Furthermore, as measurement range increases, linearity error is also increased. The alternative is a variable overlap-area type system. The sensitivity of this type is determined by the initial air-gap dimension, keeps the original value and does not deteriorate linearity in spite of the variations of the measuring range.

A 9-Bit 80-MS/s CMOS Pipelined Folding A/D Converter with an Offset Canceling Technique

  • Lee, Seung-Chul;Jeon, Young-Deuk;Kwon, Jong-Kee
    • ETRI Journal
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    • 제29권3호
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    • pp.408-410
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    • 2007
  • A 9-bit 80-MS/s CMOS pipelined folding analog-to-digital converter employing offset-canceled preamplifiers and a subranging scheme is proposed to extend the resolution of a folding architecture. A fully differential dc-decoupled structure achieves high linearity in circuit design. The measured differential nonlinearity and integral nonlinearity of the prototype are ${\pm}0.6$ LSB and ${\pm}1.6$ LSB, respectively.

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기능성 자기공명영상에서 진동자극에 대한 감각피질의 비선형성 (Nonlinearity in the Somatosensory Cortex Response to Vibrotactile Stimulator in fMRI)

  • 이현숙
    • 한국의학물리학회지:의학물리
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    • 제17권3호
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    • pp.159-166
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    • 2006
  • 기능성 자기공명영상을 이용하여 진동자극에 대한 감각피질의 비선형성에 대하여 연구하였다. 진동자극은 25 Hz의 주파수로 5개의 각기 다른 진동 자극 기간, 2초, 4초, 8초, 12초 그리고 16초와 함께 20초의 무자극 주기와 pseudo-random순서로 구성되었다. 감각피질에 대한 자극 기간의 변화에 따른 선형성을 이해하기 위하여 두 다른 방법(시스템의 선형성 조사법과 gamma-variate 함수를 적용하여 impulse response함수를 구하는 방법)을 사용하여 혈류반응 함수를 분석하였는데, 그 결과는 거의 비슷하였다. 감각피질에서의 BOLD 반응은 8초보다 작은 자극 기간 동안에는 비선형이고 8초 이상일 때는 선형성을 보였다. 자극 기간의 함수로 Impulse response 함수의 진폭, 면적, 피크까지의 시간, FWHM을 계산하였고 진폭과 면적의 크기는 자극 기간이 증가할 때 감소함을 보여줌으로써 자극 기간 8초에서 BOLD 반응이 비선형성에서 선형성으로 변함을 뒷받침해 주었다.

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