• Title/Summary/Keyword: Fourier Integration Method

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A Study on Practical PMM Test Technique for Ship Maneuverability Using System Identification Method (선박의 조종성능 추정에 있어서 시스템식별법을 이용한 PMM 시험 기법에 대한 연구)

  • 이태일;권순홍
    • Journal of Ocean Engineering and Technology
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    • v.16 no.6
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    • pp.25-31
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    • 2002
  • A system identification method is introduced to increase the prediction accuracy of a ship's maneuverability in PMM test, analysis. To improve the accuracy of linear hydrodynamic coefficients, the analysis techniques of pure sway and yaw tests are developed, and confirmed. In the analysis of sway tests, accuracy to linear hydrodynamic coefficients depends on the frequency of sway motion. To obtain nonlinear hydrodynamic coefficients for large drift angles, a combined yaw test is introduced. Using this system identification method, runs of PMM test can be reduced while retaining sufficient accuracy, compared to the Fourier integration method. Through the comparisons with sea trial results and the Fourier integration method, the accuracy and efficiency of the newly proposed system identification method, based on least square method, has been validated.

New Protocol at Fast Scan Mode for Sea-surface Small Target Detection

  • Cha, Sangbin;Park, Sanghong;Jung, Jooho;Choi, Inoh
    • IEMEK Journal of Embedded Systems and Applications
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    • v.17 no.2
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    • pp.101-107
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    • 2022
  • In this article, we propose a new protocol at fast scan mode for a sea-surface small target detection. The conventional fast scan mode is composed of coherent intrascan integration to suppress sea clutter and non-coherent interscan integration to exclude sea spikes. The proposed method realizes the coherent interscan integration by the new Fourier relationship between carrier-frequency and initial-radial-range, which can be analytically derived by using multiple carrier frequencies at fast scan mode, leading to improved detection performance, compared to the conventional non-coherent methods. In simulations, our proposed method is verified.

Interfacial Boundary Estimation in Stratified Flow of Two Immiscible Liquids Using Hybrid-type Fourier Series

  • Kim, Bong Seok;Choi, Bong-Yeol;Kim, Kyung Youn
    • Journal of IKEEE
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    • v.18 no.4
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    • pp.463-470
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    • 2014
  • In stratified flows of two immiscible liquids, due to the vibration in a pipe, the shape of the interface is not always periodic and it causes the different end points of the interfacial boundary. In this case the performance is not good. To solve this, in this paper, the hybrid-type Fourier series is proposed, which consists of both the polynomial and the trigonometric terms. Under the stationary interfacial boundary during acquiring a full set of voltage data, the performance of the proposed method is evaluated through the numerical experiments. The results show that the proposed method performs better than the conventional Fourier series in estimating the interfacial boundary.

Evaluation of Inverse Fourier Integral Considering the Distances from the Source Point in 2D Resistivity Modeling (전기비저항탐사 2차원 모델링에서 송수신 간격을 고려한 푸리에 역변환)

  • Cho, In-Ky;Jeong, Da-Bhin
    • Geophysics and Geophysical Exploration
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    • v.21 no.1
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    • pp.1-7
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    • 2018
  • In the two-dimensional (2D) modeling of electrical method, the potential in the space domain is reconstructed with the calculated potentials in the wavenumber domain using inverse Fourier transform. The inverse Fourier integral is numerically evaluated using the transformed potential at different wavenumbers. In order to improve the precision of the integration, either the logarithmic or exponential approximation has been used depending on the size of wavenumber. Two numerical methods have been generally used to evaluate the integral; interval integration and Gaussian quadrature. However, both methods do not consider the distance from the current source. Thus the resulting potential in the space domain shows some error. Especially when the distance from the current source is very small or large, the error increases abruptly and the evaluated potential becomes extremely unstable. In this study, we developed a new method to calculate the integral accurately by introducing the distance from the current source to the rescaled Gauss abscissa and weight. The numerical tests for homogeneous half-space model show that the developed method can yield the error level lower than 0.4 percent over the various distances from the current source.

Three Dimensional Calculation of Capacitance for VLSI Interconnection Line (VLSI 전송선로에서의 커패시턴스의 3차원 계산)

  • 김한구;곽계달
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.29A no.7
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    • pp.64-72
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    • 1992
  • The capacitance for three-dimensional (3D) VLSI interconnection line is calculated. Capacitance is obtained by solving integral equation that is the product of Green's function and surface charge density. Surface charge density is assumed that constant in each subarea, and subarea is devided by rectangular size in interconnetion surfaces. Up to date, so this integral method using Green's function is calculated by Fourier integral transformation, that it cannot help making an error. In this paper, it is proposed to use direct integration instead of Fourier integral method. And we proved accuracy of this paper in comparision with conventional results.

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Closed Form Expression of Cutting Forces and Tool Deflection in End Milling Using Fourier Series (푸리에 급수를 이용한 엔드밀링 절삭력 및 공구변형 표현)

  • Ryu, Shi-Hyoung
    • Journal of the Korean Society for Precision Engineering
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    • v.23 no.9 s.186
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    • pp.76-83
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    • 2006
  • Machining accuracy is closely related with tool deflection induced by cutting forces. In this research, cutting forces and tool deflection in end milling are expressed as a closed form of tool rotational angle and cutting conditions. The discrete cutting fores caused by periodic tool entry and exit are represented as a continuous function using the Fourier series expansion. Tool deflection is predicted by direct integration of the distributed loads on cutting edges. Cutting conditions, tool geometry, run-outs and the stiffness of tool clamping part are considered together far cutting forces and tool deflection estimation. Compared with numerical methods, the presented method has advantages in prediction time reduction and the effects of feeding and run-outs on cutting forces and tool deflection can be analyzed quantitatively. This research can be effectively used in real time machining error estimation and cutting condition selection for error minimization since the form accuracy is easily predicted from tool deflection curve.

Representation of cutting forces and tool deflection in end milling using Fourier series (엔드밀 가공에서 푸리에 급수를 이용한 절삭력 및 공구변형 표현)

  • Ryu S.H.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2005.10a
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    • pp.781-785
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    • 2005
  • Cutting forces and tool deflection in end milling are represented as the closed form of tool rotational angle and cutting conditions. The discrete cutting forces caused by tool entry and exit are continued using the Fourier series expansion. Tool deflection is predicted by direct integration of the distributed loads on cutting edges. Cutting conditions, tool geometry, run-outs and the stiffness of tool clamping pan are considered for cutting forces and tool deflection estimation. Compared to numerical methods, the presented method has advantages in short prediction time and the effects of feeding and run-outs on cutting forces and tool deflection can be analyzed quantitatively. This research can be effectively used in real time machining error estimation and cutting condition selection for error minimization since the ferm accuracy is easily predicted by tool deflect ion curve.

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Boundary Element Method for Multilayered Media Using Numerical Fundamental Solutions (다층 반무한 기본해를 이용한 경계요소해석)

  • 김문겸;오금호;김민규;박준상
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1996.04a
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    • pp.79-86
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    • 1996
  • A boundary element method which utilizes the fundamental solution in the half plane is developed to analyze the multi-layered elastic media. The objective of this study is to derive numerically the fundamental solutions and to apply those to the exterior multi-layered domain problems. To obtain numerical fundamental solutions of multi-layered structural system, the same number of solutions as that of layers in Fourier transform domain are employed. The numerical integration technique is used in order to inverse the Fourier transform solution to real domain. To verify the proposed boundary element method, two examples are treated: (1) a circular hole near the surface of a half plane; and (2) a circular cavity within one layer of four layered half plane.

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Development of Algorithm for Wear Volume Evaluation using Surface Pronto Analysis (표면 Profile 해석을 이용한 마멸량 계산 알고리즘 개발)

  • 김형규;김선재
    • Tribology and Lubricants
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    • v.17 no.1
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    • pp.33-39
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    • 2001
  • A method of calculating wear volume is developed using the signal processing technique. The lowpass filter with Fourier transform and the “windowing” are implemented in the method. User-defining feature is also included in determining the cutoff frequency of the low-pass filter and the baseline for the volume integration. Commercial software, MatLab, is used for the programming. Since the method uses the original wear data without simplifying the wear shape, it can give a further accurate result than the previously utilized methods, which often adopted the simplification. It becomes further powerful if the contacting body has a general shape rather than that gives well-formed surface traction (e.g., the Hertzian). The validation of applying the average surface roughness, Ra, to the “windowing” and the baseline for volume integration is discussed.

Estimation of Displacements Using the Transformed Response in Time and Frequency Domain

  • Jung, Beom-Seok
    • International Journal of Ocean Engineering and Technology Speciallssue:Selected Papers
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    • v.6 no.1
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    • pp.44-50
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    • 2003
  • If the accelerometers are used in measuring the response, the absolute values of the velocity and displacement are not usually obtainable because their initial values are not accounted for in the integration of the acceleration response. A new dynamic response conversion algorithm of both the time domain and the frequency domain is proposed for the problem in estimating the displacement data by defining the transformed responses. In this algorithm, the displacement response can be obtained from the measured acceleration records by integration without requiring the knowledge of the initial velocity and displacement information. The applicability of the technique is tested by an example problem using the real bridge's superstructure under several cases of moving load. In the response conversion procedure of the frequency domain, the identified response according to the frequency can be estimated by changing over the limits of integration. If the reliability of the identified responses is ensured, it is expected that the proposed method for estimating the impact factor can be useful in the bridge's dynamic test. This method can be useful in those practical cases when the direct measurement of the displacement is difficult as in the dynamic studies of huge structure.

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