• 제목/요약/키워드: Complex frequency plane

검색결과 59건 처리시간 0.024초

The dynamic response of the FGM coated half-plane with hysteretic damping under time harmonic loading

  • Xiao-Min Wang;Liao-Liang Ke;Yue-Sheng Wang
    • Structural Engineering and Mechanics
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    • 제87권1호
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    • pp.95-106
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    • 2023
  • This paper investigates the dynamic response of a functionally graded material (FGM) coated half-plane excited by distributed time harmonic loading. Three types of typical distributed surface loads, including uniform load, Hertz load, and square-root singular load, are considered. The mass density and elastic modulus of the FGM coating are supposed to be described by the exponential function. The material damping is modelled by a linearly hysteretic damping which is expressed by a complex modulus in the time harmonic motion. Using Fourier integral transform technique and numerical integral method, the effects of the excitation frequency, gradient index, damping, and load type on the dynamic stresses and displacements are discussed.

유도전동기용 이상 PI형 속도제어기의 구성 (The Implementation of a Discrete PI Speed Controller for an Induction Motor)

  • 김광배;고명삼
    • 대한전기학회논문지
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    • 제35권1호
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    • pp.26-35
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    • 1986
  • In this paper, non-linear state equations for a 3-phase, 220V, 0.4 KW, squirrel cage induction motor have been derived using the d-q transformation and then these equations have been linearized around an operating point by a small perturbation method. Root loci on the s-plane with repect to the changes of slip S and supply frequency f have been studied. Based on the above results, the derived linear state equations have been augmented to the 6th order, including the output velocity feedback and a discrete PI speed controller. Using the new state equations, stability regions on the Kp-Kl plane have been investigated for slip S and sampling time T. In designing a discrete PI controller, the coefficients Kp and Kl around the normal operating point (220V,1,692rpm,60Hz)have been chosen under the assumptions that each response to a perturbation input of reference speed and load torque be underdamped and dominated by a pair of complex poles. Step responses in the experimental system using an Intel SDK-86 and an optimized PWM inverter show satisfactory results that the maximum overshoots and damped frequency are well coincided with ones from the computer simulation.

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주파수 의존성에 따른 고분자 LED의 유전 분산 거동에 관한 연구 (AC dielectric response of poly(p-phenylenevinylene) light emitting devices)

  • 이철의;김세헌;장재원;김상우
    • 한국전기전자재료학회:학술대회논문집
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    • 한국전기전자재료학회 2000년도 추계학술대회 논문집
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    • pp.149-152
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    • 2000
  • AC impedance measurements on poly-p-phenylenevinylene (PPV) LEDs in the frequency range between 10 Hz and 10$\^$6/ Hz were carried out. The complex-plane impedance spectra indicate that PPV devices can be represented by equivalent circuits that corresponds to the bulk and interfacial regions at high and low frequencies, respectively. As a result of complex impedance analysis through the separation of bulk and interfacial region impedances, increase of forward bias in Al/PPV/ITO devices gave rise to relative decrease of the interfacial region impedance. Above the electric field of 10$\^$6/ V/cm the PPV device showed a space charge limited current (SCLC) conduction. The dependence of the transport mechanism and dielectric properties on the applied bias voltage is discussed.

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수직 진동형 Rheometer를 이용한 복합레진의 유변학적 성질의 측정 (RHEOLOGICAL CHARACTERIZATION OF COMPOSITES USING A VERTICAL OSCILLATION RHEOMETER)

  • 이인복;조병훈;손호현;이상탁;엄정문
    • Restorative Dentistry and Endodontics
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    • 제29권6호
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    • pp.489-497
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    • 2004
  • Objective: The purpose of this study was to investigate the viscoelastic properties related to handling characteristics of composite resins, Methods: A custom designed vertical oscillation rheometer (VOR) was used for rheological measurements of composites. The VOR consists of three parts: (1) a measuring unit, (2) a deformation induction unit and (3) a force detecting unit, Two medium viscous composites, Z100 and Z250 and two packable composites, P60 and SureFil were tested. The viscoelastic material function, including complex modulus $E^{*}$ and phase angle ${\delta}$, were measured. A dynamic oscillatory test was used to evaluate the storage modulus (E'), loss modulus (E") and loss tangent ($tan{\delta}$) of the composites as a function of frequency ($\omega$) from 0.1 to 20 Hz at $23^{\circ}C$. Results: The E' and E" increased with increasing frequency and showed differences in magnitude between brands. The $E^{*}s$ of composites at ${\omega}{\;}={\;}2{\;}Hz$, normalized to that of Z100, were 2.16 (Z250), 4,80 (P60) and 25.21 (SureFil). The magnitudes and patterns of the change of $tan{\delta}$ of composites with increasing frequency were significantly different between brands. The relationships between the complex modulus $E^{*}$, the phase angle ${\delta}$ and the frequency \omega were represented by frequency domain phasor form, $E^{*}{\;}(\omega){\;}={\;}E^{*}e^{i{\delta}}{\;}={\;}E^{*}{\angle}{\delta}$. Conclusions: The viscoelasticity of composites that influences handling characteristics is significant different between brands, The VOR is a relatively simple device for dynamic, mechanical analysis of high viscous dental composites. The locus of frequency domain phasor plots in a complex plane is a valuable method of representing the viscoelastic properties of composites.

가진 주파수성분에 따른 항만구조물의 지진응답특성에 관한 연구 (Earthquake Response Characteristics of a Port Structure According to Exciting Frequency Components of Earthquakes)

  • 김두기;류희룡;서형렬;장성규
    • 한국해안해양공학회지
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    • 제17권1호
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    • pp.41-46
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    • 2005
  • 항만구조물의 유체-구조물-지반 상호작용(FSSI)을 고려한 지진응답해석을 수행하였다. 우리나라 동남해안에 위치한 방파제 구조물을 대상으로 장주기 및 단주기파로 구분된 지진을 비롯하여 최근 우리나라에서 발생한 울진지진에 대한 지진응답특성에 대하여 고찰하였다. FSSI 효과를 고려하기 위하여 유체요소는 평면변형해석에 사용하는 4절점 사변형요소를 수정한 요소를 이용하여 모델링 하였다. 그리고 FSSI해석, 진도법, 부가질량법에 의한 지진응답특성을 비교하였다. 고유치해석을 통하여 방파제의 고유주기를 찾고, 기존의 지진 및 최근 우리나라에서 발생한 지진에 대한 지진응답특성 결과로부터 방파제 구조물이 장주기성분에 대한 영향을 더 많이 받는 것을 확인하였다.

공기 및 복합유전체 갭에서의 방사전자파의 거리 및 편파특성 (The distance and polarization characteristics of electromagnetic wave radiated at needle-to-plane electrodes in Air and complex dielectric)

  • 김충년;이현동;박광서;박원주;이광식;이동인;이동헌
    • 한국조명전기설비학회:학술대회논문집
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    • 한국조명전기설비학회 2000년도 학술대회논문집
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    • pp.241-245
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    • 2000
  • In this paper, VHF(30~230[MHz]) electromagnetic waves radiated from partial discharge(PD) at two-type electrodes in air are measured and the peculiar patterns of their spectra are reported. Also, the polarization and distance characteristics of electromagnetic wave rediated by PD, were investigated. In case of epoxy insulator in inserted, the noise level of radiated electromagnetic waves is 0.6~6.2[dB] higher than the case in air at below 90[MHz]. The frequency spectrum distribution of radiated electromagnetic waves appears different in the whole frequency range according to the arrangement of antenna.

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Seismic motions in a non-homogeneous soil deposit with tunnels by a hybrid computational technique

  • Manolis, G.D.;Makra, Konstantia;Dineva, Petia S.;Rangelov, Tsviatko V.
    • Earthquakes and Structures
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    • 제5권2호
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    • pp.161-205
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    • 2013
  • We study seismically induced, anti-plane strain wave motion in a non-homogeneous geological region containing tunnels. Two different scenarios are considered: (a) The first models two tunnels in a finite geological region embedded within a laterally inhomogeneous, layered geological profile containing a seismic source. For this case, labelled as the first boundary-value problem (BVP 1), an efficient hybrid technique comprising the finite difference method (FDM) and the boundary element method (BEM) is developed and applied. Since the later method is based on the frequency-dependent fundamental solution of elastodynamics, the hybrid technique is defined in the frequency domain. Then, an inverse fast Fourier transformation (FFT) is used to recover time histories; (b) The second models a finite region with two tunnels, is embedded in a homogeneous half-plane, and is subjected to incident, time-harmonic SH-waves. This case, labelled as the second boundary-value problem (BVP 2), considers complex soil properties such as anisotropy, continuous inhomogeneity and poroelasticity. The computational approach is now the BEM alone, since solution of the surrounding half plane by the FDM is unnecessary. In sum, the hybrid FDM-BEM technique is able to quantify dependence of the signals that develop at the free surface to the following key parameters: seismic source properties and heterogeneous structure of the wave path (the FDM component) and near-surface geological deposits containing discontinuities in the form of tunnels (the BEM component). Finally, the hybrid technique is used for evaluating the seismic wave field that develops within a key geological cross-section of the Metro construction project in Thessaloniki, Greece, which includes the important Roman-era historical monument of Rotunda dating from the 3rd century A.D.

유전체 손실을 고려한 전원부에서 유기되는 노이즈 모델링에 관한 연구 (Modeling of the Power/Ground Plane Noise Including Dielectric Substrate Loss)

  • 김종민;남기훈;하정래;송기재;나완수
    • 한국전자파학회논문지
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    • 제21권2호
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    • pp.170-178
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    • 2010
  • 논문에서는 전원부에서 노이즈가 발생되어 신호선에 노이즈가 유기될 때, 유전체의 손실 특성이 노이즈에 미치는 영향에 관해서 연구를 하였다. 이를 분석하기 위해 Full-wave 시뮬레이터인 Ansoft사의 HFSS(High Frequency Structure Simulation)와 CST사의 MWS(MicroWave Studio)의 계산 결과와 측정 결과를 비교하여 신뢰성을 확보하였고, 실제 사용되고 있는 4가지의 상용 기판에 대한 유기되는 노이즈를 해석하였다. 또한, TLM(Transmission Line Method)를 이용해서 전원면의 회로 모델 구성 시 기판의 유전체 손실을 반영할 수 있는 Debye 모델을 적용하여 주파수에 대한 임피던스를 분석할 수 있는 모델을 적용 측정 결과와 3 GHz까지 일치하는 모델을 얻었다.

Sliding mode control for structures based on the frequency content of the earthquake loading

  • Pnevmatikos, Nikos G.;Gantes, Charis J.
    • Smart Structures and Systems
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    • 제5권3호
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    • pp.209-221
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    • 2009
  • A control algorithm for seismic protection of building structures based on the theory of variable structural control or sliding mode control is presented. The paper focus in the design of sliding surface. A method for determining the sliding surface by pole assignment algorithm where the poles of the system in the sliding surface are obtained on-line, based on the frequency content of the incoming earthquake signal applied to the structure, is proposed. The proposed algorithm consists of the following steps: (i) On-line FFT process is applied to the incoming part of the signal and its frequency content is recognized. (ii) A transformation of the frequency content to the complex plane is performed and the desired location of poles of the controlled structure on the sliding surface is estimated. (iii) Based on the estimated poles the sliding surface is obtained. (iv) Then, the control force which will drive the response trajectory into the estimated sliding surface and force it to stay there all the subsequent time is obtained using Lyapunov stability theory. The above steps are repeated continuously for the entire duration of the incoming earthquake. The potential applications and the effectiveness of the improved control algorithm are demonstrated by numerical examples. The simulation results indicate that the response of a structure is reduced significantly compared to the response of the uncontrolled structure, while the required control demand is achievable.

Three dimensional modelling of ancient colonnade structural systems subjected to harmonic and seismic loading

  • Sarhosis, V.;Asteris, P.G.;Mohebkhah, A.;Xiao, J.;Wang, T.
    • Structural Engineering and Mechanics
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    • 제60권4호
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    • pp.633-653
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    • 2016
  • One of the major threats to the stability of classical columns and colonnades are earthquakes. The behavior of columns under high seismic excitation loads is non-linear and complex since rocking, wobbling and sliding failure modes can occur. Therefore, three dimensional simulation approaches are essential to investigate the in-plane and out-of-plane response of such structures during harmonic and seismic loading excitations. Using a software based on the Distinct Element Method (DEM) of analysis, a three dimensional numerical study has been performed to investigate the parameters affecting the seismic behaviour of colonnades' structural systems. A typical section of the two-storey colonnade of the Forum in Pompeii has been modelled and studied parametrically, in order to identify the main factors affecting the stability and to improve our understanding of the earthquake behaviour of such structures. The model is then used to compare the results between 2D and 3D simulations emphasizing the different response for the selected earthquake records. From the results analysis, it was found that the high-frequency motion requires large base acceleration amplitude to lead to the collapse of the colonnade in a shear-slip mode between the drums. However, low-frequency harmonic excitations are more prominent to cause structural collapse of the two-storey colonnade than the high-frequency ones with predominant rocking failure mode. Finally, the 2D analysis found to be unconservative since underestimates the displacement demands of the colonnade system when compared with the 3D analysis.