• 제목/요약/키워드: Inverse Function

검색결과 740건 처리시간 0.026초

π/2 Pulse Shaping via Inverse Scattering of Central Potentials

  • 이창재
    • Bulletin of the Korean Chemical Society
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    • 제17권2호
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    • pp.188-192
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    • 1996
  • It is shown that the inversion of the undamped Bloch equation for an amplitude-modulated broadband π/2 pulse can be precisely treated as an inverse scattering problem for a Schrodinger equation on the positive semiaxis. The pulse envelope is closely related to the central potential and asymptotically the wave function takes the form of a regular solution of the radial Schrodinger equation for s-wave scattering. An integral equation, which allows the calculation of the pulse amplitude (the potential) from the phase shift of the asymptotic solution, is derived. An exact analytical inversion of the integral equation shows that the detuning-independent π/2 pulse amplitude is given by a delta function. The equation also provides a means to calculate numerically approximate π/2 pulses for broadband excitation.

Determining a novel softening function for modeling the fracture of concrete

  • Hossein, Karimpour;Moosa, Mazloom
    • Advances in materials Research
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    • 제11권4호
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    • pp.351-374
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    • 2022
  • Softening function is the primary input for modeling the fracture of concrete when the cohesive crack approach is used. In this paper, based on the laboratory data on notched beams, an inverse algorithm is proposed that can accurately find the softening curve of the concrete. This algorithm uses non-linear finite element analysis and the damage-plasticity model. It is based on the kinematics of the beam at the late stages of loading. The softening curve, obtained from the corresponding algorithm, has been compared to other softening curves in the literature. It was observed that in determining the behavior of concrete, the usage of the presented curve made accurate results in predicting the peak loads and the load-deflection curves of the beams with different concrete mixtures. In fact, the proposed algorithm leads to softening curves that can be used for modeling the tensile cracking of concrete precisely. Moreover, the advantage of this algorithm is the low number of iterations for converging to an appropriate answer.

INVERSE HEAT CONDUCTION PROBLEM IN A THIN CIRCULAR PLATE AND ITS THERMAL DEFLECTION

  • Tikhe, A.K.;Deshmukh, K.C.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제9권2호
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    • pp.75-82
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    • 2005
  • An inverse problem of transient heat conduction in a thin finite circular plate with the given temperature distribution on the interior surface of a thin circular plate being a function of both time and position has been solved with the help of integral transform technique and also determine the thermal deflection on the outer curved surface of a thin circular plate defined as $0\;{\leq}\;r\;{\leq}\;a,\;0\;{\leq}\;z\;{\leq}\;h$. The results, obtained in the series form in terms of Bessel's functions, are illustrated numerically.

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A NOTE ON OPTIMAL RECONSTRUCTION OF MAGNETIC RESONANCE IMAGES FROM NON-UNIFORM SAMPLES IN k-SPACE

  • Lee, June-Yub
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제14권1호
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    • pp.35-42
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    • 2010
  • A goal of Magnetic Resonance Imaging is reproducing a spatial map of the effective spin density from the measured Fourier coefficients of a specimen. The imaging procedure can be done by inverse Fourier transformation or backward fast Fourier transformation if the data are sampled on a regular grid in frequency space; however, it is still a challenging question how to reconstruct an image from a finite set of Fourier data on irregular points in k-space. In this paper, we describe some mathematical and numerical properties of imaging techniques from non-uniform MR data using the pseudo-inverse or the diagonal-inverse weight matrix. This note is written as an easy guide to readers interested in the non-uniform MRI techniques and it basically follows the ideas given in the paper by Greengard-Lee-Inati [10, 11].

병진 운동 탄성암의 선단 위치제어를 위한 역동역학 (Inverse Dynamics for the Tip Position Control of the Transiational Motion Flexible Arm)

  • 방두열;이성철;장남정이;저강광
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1991년도 추계학술대회 논문집
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    • pp.155-159
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    • 1991
  • This paper is a study on the Inverse dynamics of a one-1ink flexible robot arm which is control led by the transiational base motion. The system is composed of the flexible arm, the mobil stage, a DC servomotor, and a computer. The arm base is shifted so that the tip follows a desired path function. The tip Rotten is measured by the laser displacement sensor. The governing equations are based on the Bernoullie-Euler beam theory and solved by applying the Laplace transform method and then the numerical inversion method to the resulted equations. Tip responses obtained both theoretically and experimentally are in good agreement with the desired trajectory, which shows that the scheme of inverse dynamics is effective for the open-loop endpoint positioning of the flexible am driven by the translation stage.

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The construction of a robust model following system for an unkown plant

  • Morikawa, Youichi;Hyogo, Hidekazu;Kikuta, Akira;Kamiya, Yuji
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1994년도 Proceedings of the Korea Automatic Control Conference, 9th (KACC) ; Taejeon, Korea; 17-20 Oct. 1994
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    • pp.359-363
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    • 1994
  • In this paper the system called the inverse model compensation system is proposed as a system whose input-output transfer function can be regarded as that of a model with uncertainty in spite of including an unknown plant. And their to construct the robust model following system, which is of low sensitivity and robust stability, in order to control the inverse model compensation system is proposed. The simulation experiments show that the robust model following system including the inverse model compensation system is practical and useful as a system which controls unknown plants.

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0.3 um급 Inverse-T Gate 모스와 LDD 모스의 전류구동력 및 신뢰성 특성비교 (Characterization of Current Drivability and Reliability of 0.3 um Inverse T-Gate MOS Compared with Those of Conventional LDD MOS)

  • 윤창주;김천수;이진호;김대용;이진효
    • 전자공학회논문지A
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    • 제30A권8호
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    • pp.72-80
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    • 1993
  • We fabricated 0.3um gate length inverse-T gate MOS(ITMOS) and conventional lightly doped drain oxide spacer MOS(LDDMOS), and studied electrical characteristics for comparison. Threshold voltage of 0.3um gate length device was 0.58 V for ITMOS and 0.6V for LDDMOS. Measured subthreshold characteristics showed a slope of 85mV/decades for both ITLDD and LDDMOS. Maximum transconductance at V S1ds T=V S1gs T=3.3V was 180mS/mm for ITMOS and 163mS/mm for LDDMOS respectively. GIDL current was observed to be 0.1pA/um for ITOMS and 0.8pA/um for LDDMOS. Substrate current of ITMOS as a function of drain current was found to be reduced by a foactor of 2.5 compared with that of LDDMOS.

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역모델을 이용한 능동소음 제어기 구현 (Implementation of the Active Noise Controller Using Inverse Model)

  • 이강욱;정용희;정양용;정찬수
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1992년도 하계학술대회 논문집 A
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    • pp.323-326
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    • 1992
  • In this paper, the active noise control(ANC) system using the inverse modeling techiniques is presented. The nonlinearity and time delay of the transfer function from the secondary speaker to the error microphone makes the ANC system have poor performance. To solve this problem, the inverse model technique and filtered-X LMS algorithm is using proposed. This proposed ANC system is implemented using DSP chip and operated in on-line. The experimental results show that this ANC system has better noise canceling performance than that used LMS only about 5-15[db]

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역최적 문제를 통한 충돌각 제어 최적유도법칙의 개루프 비행궤적 특성 및 Time-to-go 예측 (The Characteristics of Open-loop Trajectory and Time-to-go Estimation for Impact Angle Control Optimal Guidance through Inverse Optimal Problem)

  • 이용인;이진익
    • 한국군사과학기술학회지
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    • 제11권3호
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    • pp.5-12
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    • 2008
  • This paper presents the features of an impact angle constrained open-loop optimal trajectory which is given by a function of initial conditions and optimal guidance gains. Using missile motion described by linearized kinematic equations and a proper form of performance index, an inverse optimal problem is suggested to investigate the gains related to the performance index. The flight trajectory and time-to-go can be shaped in terms of the optimal guidance gains. The results are evaluated by 3-DOF simulation.

엑티브 머플러를 이용한 실차 배기 소음 저감에 관한 연구 (A study on the exhaust noise reduction of automobile with the active muffler)

  • 홍진석;신준;김흥섭;송진호;오재응
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1996년도 추계학술대회 논문집
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    • pp.283-287
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    • 1996
  • The exhaust noise reduction of automobile with the active muffler is experimentally investigated. The control algorithm is the filtered-x LMS algorithm and the inverse algorithm with the adaptive line enhancer. Also, the control efficiency is increased with synthesized second harmonic engine frequency. In the experiment, the active muffler is applied to the end of exhaust system in automobile and the control with on-line secondary path modeling method(inverse algorithm) is compared the control of off-line secondary path modeling method. As secondary path transfer functions are changed, the experimental results show that the control performance with on-line method is more efficient than that with off-line method in the exhaust noise reduction of automobile.

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