• 제목/요약/키워드: Spectral Density Matrix

검색결과 36건 처리시간 0.021초

Covariance-driven wavelet technique for structural damage assessment

  • Sun, Z.;Chang, C.C.
    • Smart Structures and Systems
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    • 제2권2호
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    • pp.127-140
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    • 2006
  • In this study, a wavelet-based covariance-driven system identification technique is proposed for damage assessment of structures under ambient excitation. Assuming the ambient excitation to be a white-noise process, the covariance computation is shown to be able to separate the effect of random excitation from the response measurement. Wavelet transform (WT) is then used to convert the covariance response in the time domain to the WT magnitude plot in the time-scale plane. The wavelet coefficients along the curves where energy concentrated are extracted and used to estimate the modal properties of the structure. These modal property estimations lead to the calculation of the stiffness matrix when either the spectral density of the random loading or the mass matrix is given. The predicted stiffness matrix hence provides a direct assessment on the possible location and severity of damage which results in stiffness alteration. To demonstrate the proposed wavelet-based damage assessment technique, a numerical example on a 3 degree-of-freedom (DOF) system and an experimental study on a three-story building model, which are all under a broad-band excitation, are presented. Both numerical and experimental results illustrate that the proposed technique can provide an accurate assessment on the damage location. It is however noted that the assessment of damage severity is not as accurate, which might be due to the errors associated with the mode shape estimations as well as the assumption of proportional damping adopted in the formulation.

Behavior of Poisson Bracket Mapping Equation in Studying Excitation Energy Transfer Dynamics of Cryptophyte Phycocyanin 645 Complex

  • Lee, Weon-Gyu;Kelly, Aaron;Rhee, Young-Min
    • Bulletin of the Korean Chemical Society
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    • 제33권3호
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    • pp.933-940
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    • 2012
  • Recently, it has been shown that quantum coherence appears in energy transfers of various photosynthetic lightharvesting complexes at from cryogenic to even room temperatures. Because the photosynthetic systems are inherently complex, these findings have subsequently interested many researchers in the field of both experiment and theory. From the theoretical part, simplified dynamics or semiclassical approaches have been widely used. In these approaches, the quantum-classical Liouville equation (QCLE) is the fundamental starting point. Toward the semiclassical scheme, approximations are needed to simplify the equations of motion of various degrees of freedom. Here, we have adopted the Poisson bracket mapping equation (PBME) as an approximate form of QCLE and applied it to find the time evolution of the excitation in a photosynthetic complex from marine algae. The benefit of using PBME is its similarity to conventional Hamiltonian dynamics. Through this, we confirmed the coherent population transfer behaviors in short time domain as previously reported with a more accurate but more time-consuming iterative linearized density matrix approach. However, we find that the site populations do not behave according to the Boltzmann law in the long time limit. We also test the effect of adding spurious high frequency vibrations to the spectral density of the bath, and find that their existence does not alter the dynamics to any significant extent as long as the associated reorganization energy is changed not too drastically. This suggests that adopting classical trajectory based ensembles in semiclassical simulations should not influence the coherence dynamics in any practical manner, even though the classical trajectories often yield spurious high frequency vibrational features in the spectral density.

Uniform-fiber-Bragg-grating-based Fabry-Perot Cavity for Passive-optical-network Fault Monitoring

  • Xuan, Zhang;Ning, Ning;Tianfeng, Yang
    • Current Optics and Photonics
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    • 제7권1호
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    • pp.47-53
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    • 2023
  • We propose a centralized passive-optical-network monitoring scheme using the resonance-spectrum properties of a Fabry-Perot cavity based on fiber Bragg gratings. Each cavity consists of two identical uniform fiber Bragg gratings and a varying cavity length or grating length, which can produce a unique single-mode resonance spectrum for the drop-fiber link. The output spectral properties of each cavity can be easily adjusted by the cavity length or the grating length. The resonance spectrum for each cavity is calculated by the transfer-matrix method. To obtain the peak wavelength of the resonance spectrum more accurately, the effective cavity length is introduced. Each drop fiber with a specific resonance spectrum distinguishes between the peak wavelength or linewidth. We also investigate parameters such as reflectivity and bandwidth, which determine the basic performance of the fiber Bragg grating used, and thus the output-spectrum properties of the Fabry-Perot cavity. The feasibility of the proposed scheme is verified using the Optisystem software for a simplified 1 × 8 passive optical network. The proposed scheme provides a simple, effective solution for passive-optical-network monitoring, especially for a high-density network with small end-user distance difference.

표적의 이동에 의한 영향을 극복하기 위한 광대역 정합장처리 (Wide-band Matched Field Processing Against Source Motion : STMV)

  • 박정수;김재수;김성일;김영규
    • 한국음향학회:학술대회논문집
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    • 한국음향학회 2004년도 추계학술발표대회논문집 제23권 2호
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    • pp.389-392
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    • 2004
  • 정합장처리를 이용한 표적의 탐지는 다양한 종류의 간섭표적들이 존재하는 환경에서 수행될 가능성이 크며, 따라서 분해능이 높은 적응 정합장처리를 사용이 요구된다. 반면 빠르게 움직이는 고소음의 간섭표적이 존재 할 경우에는 적응정합장처리를 수행하기위한 신호단편 (snapshot) 수를 충분하게 사용할 수 없는 상황에 직면하게 된다. 제한된 신호단편을 이용하여 적응정합장처리의 CSDM (cross-spectral density matrix)을 안정적으로 추정하기 위한 목적으로 선형빔형성에서 제안되었던 광대역 STMV (steered minimum varianve) 기법을 도입하였다. MAPLE03 실험환경을 이용하여 STMV의 적응정합장처리 수치실험을 수행하고 특성을 분석하였다.

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Enhanced least square complex frequency method for operational modal analysis of noisy data

  • Akrami, V.;Zamani, S. Majid
    • Earthquakes and Structures
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    • 제15권3호
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    • pp.263-273
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    • 2018
  • Operational modal analysis is being widely used in aerospace, mechanical and civil engineering. Common research fields include optimal design and rehabilitation under dynamic loads, structural health monitoring, modification and control of dynamic response and analytical model updating. In many practical cases, influence of noise contamination in the recorded data makes it difficult to identify the modal parameters accurately. In this paper, an improved frequency domain method called Enhanced Least Square Complex Frequency (eLSCF) is developed to extract modal parameters from noisy recorded data. The proposed method makes the use of pre-defined approximate mode shape vectors to refine the cross-power spectral density matrix and extract fundamental frequency for the mode of interest. The efficiency of the proposed method is illustrated using an example five story shear frame loaded by random excitation and different noise signals.

수중 광대역 음원에 대한 정합장처리의 음원위치 추정성능 분석과 평가 (Performance Testing of MFP for the Underwater Source with Broadband Spectrum)

  • 신기철;박재은;김재수
    • 한국음향학회:학술대회논문집
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    • 한국음향학회 2000년도 학술발표대회 논문집 제19권 2호
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    • pp.97-100
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    • 2000
  • 정합장처리(matched-field processing)는 실제 음향자료와 복제음장과의 공간 coherence를 이용한 음장의 역추정 방법이다. 광대역 스펙트럼을 가지는 음원의 경우 협대역 단일 주파수별로 정합장 출력을 계산한 후, 각 출력을 더하는 incoherent 광대역 정합장처리를 사용하였으나, 그 경우 수신기들과 주파수들간의 상호 공간과 주파수 정보를 사용치 못하므로 음원 위치추정 성능이 저하된다. 본 논문에서는 광대역 스펙트럼의 여러 주파수를 사용하여 확장된 CSDM(cross-spectral density matrix)을 구성하여 coherent 정합장처리를 구현하고, 각 정합장처리 기법에 대한 음원 위치추정 성능을 분석하였다.

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$^{11}B $Nutation NMR Study of Powdered Borosilicates

  • 우애자;한덕영;양경화
    • Bulletin of the Korean Chemical Society
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    • 제19권5호
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    • pp.519-524
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    • 1998
  • In this work, we applied the 1D 11B nutation NMR method for the analysis of the local structural environments in powdered borosilicates (SiO2-B2O3). Spin dynamics during a rf irradiation for spin I=3/2 was analytically calculated with a density matrix formalism. Spectral simulation programs were written in MATLAB on a PC. Two borosilicates prepared by the sol-gel process at different stabilization temperature were used for the 1D 11B nutation NMR experiment. The 11B NMR parameters, quadrupole coupling constants (e2qQ/h) and asymmetry parameters (η), for each borosilicate were extracted from the nonlinear least-squares fitting. The effects of heat treatments on the local structures of boron sites in borosilicates were discussed.

Generation of critical and compatible seismic ground acceleration time histories for high-tech facilities

  • Hong, X.J.;Xu, Y.L.
    • Structural Engineering and Mechanics
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    • 제26권6호
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    • pp.687-707
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    • 2007
  • High-tech facilities engaged in the production of semiconductors and optical microscopes are extremely expensive, which may require time-domain analysis for seismic resistant design in consideration of the most critical directions of seismic ground motions. This paper presents a framework for generating three-dimensional critical seismic ground acceleration time histories compatible with the response spectra specified in seismic design codes. The most critical directions of seismic ground motions associated with the maximum response of a high-tech facility are first identified. A new numerical method is then proposed to derive the power spectrum density functions of ground accelerations which are compatible with the response spectra specified in seismic design codes in critical directions. The ground acceleration time histories for the high-tech facility along the structural axes are generated by applying the spectral representation method to the power spectrum density function matrix and then multiplied by envelope functions to consider nonstationarity of ground motions. The proposed framework is finally applied to a typical three-story high-tech facility, and the numerical results demonstrate the feasibility of the proposed approach.

Stochastic optimal control analysis of a piezoelectric shell subjected to stochastic boundary perturbations

  • Ying, Z.G.;Feng, J.;Zhu, W.Q.;Ni, Y.Q.
    • Smart Structures and Systems
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    • 제9권3호
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    • pp.231-251
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    • 2012
  • The stochastic optimal control for a piezoelectric spherically symmetric shell subjected to stochastic boundary perturbations is constructed, analyzed and evaluated. The stochastic optimal control problem on the boundary stress output reduction of the piezoelectric shell subjected to stochastic boundary displacement perturbations is presented. The electric potential integral as a function of displacement is obtained to convert the differential equations for the piezoelectric shell with electrical and mechanical coupling into the equation only for displacement. The displacement transformation is constructed to convert the stochastic boundary conditions into homogeneous ones, and the transformed displacement is expanded in space to convert further the partial differential equation for displacement into ordinary differential equations by using the Galerkin method. Then the stochastic optimal control problem of the piezoelectric shell in partial differential equations is transformed into that of the multi-degree-of-freedom system. The optimal control law for electric potential is determined according to the stochastic dynamical programming principle. The frequency-response function matrix, power spectral density matrix and correlation function matrix of the controlled system response are derived based on the theory of random vibration. The expressions of mean-square stress, displacement and electric potential of the controlled piezoelectric shell are finally obtained to evaluate the control effectiveness. Numerical results are given to illustrate the high relative reduction in the root-mean-square boundary stress of the piezoelectric shell subjected to stochastic boundary displacement perturbations by the optimal electric potential control.

광대역 신호 처리에서의 도래각 추정 : Rotation of Signal Subspaces 방법 (Direction-of-Arrival Estimation in Broadband Signal Processing : Rotation of Signal Subspace Approach)

  • 김영수
    • 대한전자공학회논문지
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    • 제26권7호
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    • pp.166-175
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    • 1989
  • 본 논문은 rotation of subspaces 개념을 이용한 도래각 추정 방법을 제시한다. 이 방법은 여러 응용분야에서 대두되는 부공간들(subspaces)의 각도 및 거리와 밀접한 관련이 있다. 먼저 최소 자승을 이용하여 한 부공간을 다른 부공간으로 변환 시켜주는 최적 변환 행렬을 구하기 위한 효율적인 방법을 유도하고 이를 이용하여 다중 광대역 신호들 (인코히어런트, 부분적인 코히어런트와 완전한 코히어런트의 혼합신호들)의 도래각을 추정한다. 대표적인 응용으로, 잡음의 배열 스펙트럼 밀도 행렬이 변하지 않는 액티브 시스템(e. g. sonar system) 경우에 성능을 높이기 위하여 효율적인 ROSS (rotation of signal subspaces) 알고리듬을 제안한다. ROSS 알고리듬은 Wang-Kaveh's CSS-focusing 방법에서 사용하는 예비처리와 공간 필터링을 필요로 하지 않는 장점이 있으며 일반적인 모든 배열 안테나에도 적용될 수 있다. 시뮬레이션 결과, 제안된 새로운 알고리듬이 CSS-focusing 방법 및 Forward-Backward Spatial Smoothed MUSIC 보다 높은 성능을 가짐을 알 수 있었다.

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