• Title/Summary/Keyword: Frequency Domain Approximation

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Damage Detection in Time Domain on Structural Damage Size (구조물의 손상크기에 따른 시간영역에서의 손상검출)

  • Kwon Tae-Kyu;Yoo Gye-Hyoung;Lee Seong-Cheol
    • Journal of the Korean Society for Precision Engineering
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    • v.23 no.6 s.183
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    • pp.119-127
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    • 2006
  • A non-destructive time domain approach to examine structural damage using parameterized partial differential equations and Galerkin approximation techniques is presented. The time domain analysis for damage detection is independent of modal parameters and analytical models unlike frequency domain methods which generally rely on analytical models. The time history of the vibration response of the structure was used to identify the presence of damage. Damage in a structure causes changes in the physical coefficients of mass density, elastic modulus and damping coefficients. This is a part of our ongoing effort on the general problem of modeling and parameter estimation for internal damping mechanisms in a composite beam. Namely, in detecting damage through time-domain or frequency-domain data from smart sensors, the common damages are changed in modal properties such as natural frequencies, mode shapes, and mode shape curvature. This paper examines the use of beam-like structures with piezoceramic sensors and actuators to perform identification of those physical parameters, and detect the damage. Experimental results are presented from tests on cantilevered composite beams damaged at different locations and different dimensions. It is demonstrated that the method can sense the presence of damage and obtain the position of a damage.

A Time-Domain Approach for the Second-Order Diffraction Problem Around Circular Cylinders in Random Waves

  • YONGHWAN KIM
    • Journal of Ocean Engineering and Technology
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    • v.15 no.1
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    • pp.12-18
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    • 2001
  • This study concentrates on the second-order diffraction problem around circular cylinders in multi-frequency waves. The method of solution is a time-domain Rankine panel method which adopts a higher-order approximation for the velocity potential and wave elevation. In the present study, the multiple second-order quadratic transfer functions are extracted from the second-order time signal generated in random waves, and the comparison with other bench-mark test results shows a good agreement. This approach is directly applicable to prediction of nonlinear forces on offshore structures in random ocean.

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Approximate Method of Multi-Layer Green's Function Using FDTD Scheme and Rational Function Approximation (FDTD 방법과 분수 함수 근사법을 이용한 다층 구조에서의 Green 함수 근사화)

  • Kim, Yong-June;Koh, Il-Suek;Lee, Yong-Shik
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.22 no.2
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    • pp.191-198
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    • 2011
  • In this paper, a method to approximate a multi-layer Green's function is proposed based on a FDTD scheme and a rational function approximation. For a given horizontal propagation wavenumber, time domain response is calculated and then Fourier transformed to the spectral domain Green's function. Using the rational function approximation, the pole and residue of the Green's function can be estimated, which are crucial for a calculation of a path loss. The proposed method can provide a wideband Green's function, while the conventional normal mode method can be applied to a single frequency problem. To validate the proposed method, We consider two problems, one of which has a analytical solution. The other is about multi-layer case, for which the proposed method is compared with the known normal mode solution, Kraken.

Audio Signal Processing using Parametric Array with KZK Model (KZK 모델을 이용한 파라메트릭 어레이 음향 신호 처리)

  • Lee, Chong-Hyun;Samuel, Mano;Lee, Jea-Il;Kim, Won-Ho;Bae, Jin-Ho
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.9 no.5
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    • pp.139-146
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    • 2009
  • Parametric array for audio applications is analyzed by numerical modeling and analytical approximation. The nonlinear wave equations are used to provide design guidelines for the audio parametric array. A time domain finite difference code that accurately solves the KZK (Khokhlov-Zabolotskaya-Kuznetsov) nonlinear parabolic wave equation is used to predict the response of the parametric array. The time domain code relates the source size and the carrier frequency to the audible signal response including the output level and beamwidth to considering the implementation issues for audio applications of the parametric array, the emphasis is given to the frequency response and distortion. We use the time domain code to find out the optimal parameters that will help produce the parametric array with highest achievable output in terms of the average power within the demodulated signal. Parameters such as primary input frequency, audio source radius and the modulation method are given utmost importance. The output effect of those parameters are demonstrated through the numerical simulation.

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A Study on the Numerical Wave Propagation Properties of the Finite Difference-Time Domain(FD-TD) Method for EM Wave Problems (전자파 문제에 대한 시간영역-유한차분법의 수치파 전파모델의 성질에 관한 연구)

  • 김인석
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.19 no.8
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    • pp.1595-1611
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    • 1994
  • In this paper, the numerical wave propagation properties of the finite difference-time domain(FD-TD) method is investigated as a discrete model describing electromagnetic(EM) wave propagation phenomena. The leap-frog approximation of Maxwell's curl equations in time-space simulates EM wave propagation in terms of the numerical characteristic and the domain of dependence. A geometrical interpretation of the FD-TD numerical procedure is presented. The numerical dispersion error due to the leap-frog approximation and its dependence on the stability factor are illustrated. The FD-TD method using the leap-frog approximation is inherently a descriptive model. Thus, not only any physical picture about EM wave propagation phenomena can be drawn through this model, but also physical or engineering parameters in the frequency domain can be extracted from descriptive results. E-plane filter characteristics in the WR-28 rectangular waveguide and reflection property of an inductive iris in the WR-90 rectangluar waveguide extracted from simulation of the FD-TD model is included.

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Natural Frequency of 2-Dimensional Heaving Circular Cylinder: Time-Domain Analysis (상하동요하는 2차원 원주의 고유진동수: 시간 영역 해석)

  • Kim, Ki-Bum;Lee, Seung-Joon
    • Journal of the Society of Naval Architects of Korea
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    • v.50 no.4
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    • pp.224-231
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    • 2013
  • The concept of the natural frequency is useful for understanding the characters of oscillating systems. However, when a circular cylinder floating horizontally on the water surface is heaving, due to the hydrodynamic forces, the system is not governed by the equation like that of the harmonic one. In this paper, in order to shed some lights on the more correct use of the concept of the natural frequency, a problem of the heaving circular cylinder is analyzed in the time domain. The equation of motion, an integro-differential equation, was derived following the fashion of Cummins (1962), and its coefficients including the retardation function were obtained using the numerical solution of Lee (2012). The equation was solved numerically, and the experiment was also carried out in the CNU flume. Using our numerical and experimental results, the natural frequency was defined as its average value given by the motion data excluding those of the initial stage. Our results were then compared with those of the existing investigations such as Maskell and Ursell (1970), Ito (1977) and Yeung (1982) as well as the newly obtained results of Lee (2012). Comparison showed that the natural frequency obtained here agrees well with that of Lee (2012), which was found through the frequency domain analysis. It was also shown that the approximation of heaving motion by a damped harmonic oscillation, which was regarded as suitable by most previous investigators, is not physically suitable for the reason that can be clearly shown through comparing the shape of MCFRs(Modulus of Complex Frequency Response). Furthermore, we found that although the previous approximations yield the damping ratio significantly different from our result the magnitude of natural frequency is not much different from our result.

Analysis of Transient Scattering from Arbitrarily Shaped Three-Dimensional Conducting Objects Using Combined Field Integral Equation (결합 적분방정식을 이용한 삼차원 임의형태 도체 구조물의 전자파 지연산란 해석)

  • Jung, Baek-Ho
    • The Transactions of the Korean Institute of Electrical Engineers C
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    • v.51 no.11
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    • pp.551-558
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    • 2002
  • A time-domain combined field integral equation (CFIE) is presented to obtain the transient scattering response from arbitrarily shaped three-dimensional conducting bodies. This formulation is based on a linear combination of the time-domain electric field integral equation (EFIE) with the magnetic field integral equation (MFIE). The time derivative of the magnetic vector potential in EFIE is approximated using a central finite difference approximation and the scalar potential is averaged over time. The time-domain CFIE approach produces results that are accurate and stable when solving for transient scattering responses from conducting objects. The incident spectrum of the field may contain frequency components, which correspond to the internal resonance of the structure. For the numerical solution, we consider both the explicit and implicit scheme and use two different kinds of Gaussian pulses, which may contain frequencies corresponding to the internal resonance. Numerical results for the EFIE, MFIE, and CFIE are presented and compared with those obtained from the inverse discrete Fourier transform (IDFT) of the frequency-domain CFIE solution.

Transfer function approximation of motion-induced aerodynamic forces with rational functions

  • Kirch, Arno;Peil, Udo
    • Wind and Structures
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    • v.14 no.2
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    • pp.133-151
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    • 2011
  • For a detailed investigation of the dynamic behaviour of slender bridges under wind action especially the motion-induced fluid forces should be available not only for harmonic motions but also for more general ones. If linear transfer behaviour is assumed, the force-displacement relation for almost arbitrary motions can be handled in the frequency domain using aerodynamic transfer functions. In aerospace engineering as well as in bridge engineering, these functions are usually approximated by special kinds of complex-valued rational functions which depend on complex frequencies. The quality of this approximation is evaluated for several bridge cross sections in this article. It is shown that rational functions are for some sections scarcely suitable to realistically represent the transfer behaviour of motion-induced aerodynamic forces for arbitrarily complex frequencies.

A 10-bit 10-MS/s 0.18-㎛ CMOS Asynchronous SAR ADC with split-capacitor based differential DAC (분할-커패시터 기반의 차동 디지털-아날로그 변환기를 가진 10-bit 10-MS/s 0.18-㎛ CMOS 비동기 축차근사형 아날로그-디지털 변환기)

  • Jeong, Yeon-Ho;Jang, Young-Chan
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.17 no.2
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    • pp.414-422
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    • 2013
  • This paper describes a 10-bit 10-MS/s asynchronous successive approximation register (SAR) analog-to-digital converter (ADC) using a split-capacitor-based differential digital-to-analog converter (DAC). SAR logic and comparator are asynchronously operated to increase the sampling frequency. The time-domain comparator with an offset calibration technique is used to achieve a high resolution. The proposed 10-bit 10-MS/s asynchronous SAR ADC with the area of $140{\times}420{\mu}m^2$ is fabricated using a 0.18-${\mu}m$ CMOS process. Its power consumption is 1.19 mW at 1.8 V supply. The measured SNDR is 49.95 dB for the analog input frequency of 101 kHz. The DNL and INL are +0.57/-0.67 and +1.73/-1.58, respectively.

Numerical Method for Exposure Assessment of Wireless Power Transmission under Low-Frequency Band

  • Kim, Minhyuk;Park, SangWook;Jung, Hyun-Kyo
    • Journal of Magnetics
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    • v.21 no.3
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    • pp.442-449
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    • 2016
  • In this paper, an effective numerical analysis method is proposed for calculating dosimetry of the wireless power transfer system operating low-frequency ranges. The finite-difference time-domain (FDTD) method is widely used to analyze bio-electromagnetic field problems, which require high resolution, such as a heterogeneous whole-body voxel human model. However, applying the standard method in the low-frequency band incurs an inordinate number of time steps. We overcome this problem by proposing a modified finite-difference time-domain method which utilizes a quasi-static approximation with the surface equivalence theorem. The analysis results of the simple model by using proposed method are in good agreement with those from a commercial electromagnetic simulator. A simulation of the induced electric fields in a human head voxel model exposed to a wireless power transmission system provides a realistic example of an application of the proposed method. The simulation results of the realistic human model with the proposed method are verified by comparing it with the conventional FDTD method.