• Title/Summary/Keyword: Spectral Density Function

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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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    • v.9 no.3
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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.

Time Series and Groundwater Recharge Analyses Using Water Fluctuation Data in Mountain Geumjeong Area (금정산지역의 수위변동 자료를 이용한 시계열 및 지하수 함양량 분석)

  • Kim, Tae-Won;Hamm, Se-Yeong;Cheong, Jae-Yeol;Ryu, Sang-Min;Lee, Jeong-Hwan;Son, Keon-Tae;Kim, Nam-Hoon
    • Journal of Environmental Science International
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    • v.17 no.2
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    • pp.257-267
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    • 2008
  • Groundwater recharge characteristics in a fractured granite area, Mt. Geumjeong, Korea. was interpreted using bedrock groundwater and wet-land water data. Time series analysis using autocorreclation, cross-correlation and spectral density was conducted for characterizing water level variation and recharge rate in low water and high water seasons. Autocorrelation analysis using water levels resulted in short delay time with weak linearity and memory. Cross-correlation function from cross-correlation analysis was lower in the low water season than the high water season for the bedrock groundwater. The result of water level decline analysis identified groundwater recharge rate of about 11% in the study area.

Simplified Maximum Likelihood Estimation of the Frequencies of Multiple Sinusoids (간략화된 최우도 방법을 사용한 다중 정현파의 주파수 추정)

  • Ahn, Tae-Chon;Oh, Sung-Kwun
    • The Journal of the Acoustical Society of Korea
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    • v.13 no.4
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    • pp.20-31
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    • 1994
  • The maximum likelihood(ML) estimation has excellent accuracy for frequency estimation of multiple sinusoids, but the maximum likelihood function requires much loss owing to the high nonlinearity. This paper presents a simplified maximum likelihood estimation, in order to improve the nonlinearity of the maximum likelihood estimation for frequencies of sinusoids in signals. This method is applied to the frequency estimation of sinusoidal signals corrupted by white or colored measurement noise. Monte-carlo simulations are conducted for the comparison of ML method with the best MFBLP method, in terms of sampled mean, root mean square and relative bias. The power spectral density and the position of frequency in unit circle are appeared in figures.

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Stochastic responses of isolated bridge with triple concave friction pendulum bearing under spatially varying ground motion

  • Yurdakul, Muhammet;Ates, Sevket
    • Structural Engineering and Mechanics
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    • v.65 no.6
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    • pp.771-784
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    • 2018
  • This study aims to investigate the stochastic response of isolated and non-isolated highway bridges subjected to spatially varying earthquake ground motion model. This model includes wave passage, incoherence and site response effects. The wave passage effect is examined by using various wave velocities. The incoherency effect is investigated by considering the Harichandran and Vanmarcke coherency model. The site response effect is considered by selecting homogeneous firm, medium and soft soil types where the bridge supports are constructed. The ground motion is described by power spectral density function and applied to each support point. Triple concave friction pendulum (TCFP) bearing which is more effective than other seismic isolation systems is used for seismic isolation. To implement seismic isolation procedure, TCFP bearing devices are placed at each of the support points of the deck. In the analysis, the bridge selected is a five-span featuring cast-in-place concrete box girder superstructure supported on reinforced concrete columns. Foundation supported highway bridge is regarded as three regions and compared its different situation in the stochastic analysis. The stochastic analyses results show that spatially varying ground motion has important effects on the stochastic response of the isolated and non-isolated bridges as long span structures.

Analysis on running safety of train on bridge with wind barriers subjected to cross wind

  • Zhang, T.;Xia, H.;Guo, W.W.
    • Wind and Structures
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    • v.17 no.2
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    • pp.203-225
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    • 2013
  • An analysis framework for vehicle-bridge dynamic interaction system under turbulent wind is proposed based on the relevant theory of wind engineering and dynamics. Considering the fluctuating properties of wind field, the stochastic wind velocity time history is simulated by the Auto-Regressive method in terms of power spectral density function of wind field. The bridge is represented by three-dimensional finite element model and the vehicle by a multi-rigid-body system connected by springs and dashpots. The detailed calculation formulas of unsteady aerodynamic forces on bridge and vehicle are derived. In addition, the form selection of wind barriers, which are applied as the windbreak measures of newly-built railways in northwest China, is studied based on the suggested evaluation index, and the suitable values about height and porosity rate of wind barriers are studied. By taking a multi-span simply-supported box-girder bridge as a case study, the dynamic response of the bridge and the running safety indices of the train traveling on the bridge with and without wind barriers are calculated. The limit values of train speed with respect to different wind velocities are proposed according to the allowance values in the design code.

Development of Analysis Method and Computer Program for Train-induced Ground Vibration (철도연변 지반진동 예측기법 및 전산프로그램 개발)

  • 황선근;엄기영;고태훈;이종재
    • Journal of the Korean Geotechnical Society
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    • v.16 no.1
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    • pp.203-210
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    • 2000
  • Recently, environmental vibration by train operation has been getting such an attention that the ISO puts it into the environmental vibration regulation. However, the reasonable and efficient countermeasures against such a kind of vibration is not well established, especially in residential areas near the railroad. Therefore, it is very important to estimate the ground vibration induced by the train operation for the design and construction of track supporting structures as well as structures near the track. In this study a model estimating dynamic load on track due to train operation and analysis technique of propagation of ground vibration were developed. Futhermore, the estimated vibration from this model was compared with the actual measurement data in the field and found to be reasonably acceptable.

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The Effect of Intake Port Configurations on the Turbulence Characteristics During Compression Stroke in a Motored Engine (흡입포트형상에 따른 모터링엔진내 압축과정 난류특성 연구)

  • 강건용;이진욱;정석용;백제현
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.4
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    • pp.920-932
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    • 1994
  • The combustion phenomena of a reciprocating engine is one of the most important processes affecting performance and emissions. One effective way to improve the engine combustion is to control the motion of the charge inside a cylinder by means of optimum induction system design, because the flame speed is mainly determined by the turbulence at compression(TDC) process in S.I. engine. It is believed that the tumble and swirl motion generated during intake breaks down into small-scale turbulence in the compression stroke of the cycle. However, the exact nature of their relationship is not well known. This paper describes cycle resolved LDV measurement of turbulent flow inside the cylinder of a 4-valve engine under motoring(non-firing) conditions, and studies the effect of intake port configurations on the turbulence characteristics using following parameters ; Eulerian temporal autocorrelation coefficient, turbulence energy spectral density function, Taylor micro time scale, integral time scale, and integral length scale.

The classification of neuropathic and thyroid function of the diabetic using amplitude-spectrum-density analysis in peripheral blood vessels (말초혈관 혈류에서 진폭-스펙트럼-밀도 분석에 의한 당뇨병에서의 신경병증 및 갑상선 기능 유무 분류)

  • 남상희;최준영
    • Progress in Medical Physics
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    • v.9 no.1
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    • pp.23-28
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    • 1998
  • We measured the flow at peripheral blood vessel of finger dorsum surface using noninvasive LDF(Laser Doppler Flowmeter). We investigated the flow properties between the normal and the diabetic with the Amplitude Spectral Densities of FFT analysis. We classified the diabetic as four groups of negative neuropathy, positive neuropathy, hyperthyroid and hypothyroid. And tested the neuropathic and thyroid effects of peripheral blood flow. As the results, the diabetic, the positive neuropathic and the hypothyroid respectively showed the abnormal blood flow properties on the contrary of the normal flow of negative neuropathic and hyperthyroid.

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Wind field generation for performance-based structural design of transmission lines in a mountainous area

  • Lou, Wenjuan;Bai, Hang;Huang, Mingfeng;Duan, Zhiyong;Bian, Rong
    • Wind and Structures
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    • v.31 no.2
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    • pp.165-183
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    • 2020
  • The first step of performance-based design for transmission lines is the determination of wind fields as well as wind loads, which are largely depending on local wind climate and the surrounding terrain. Wind fields in a mountainous area are very different with that in a flat terrain. This paper firstly investigated both mean and fluctuating wind characteristics of a typical mountainous wind field by wind tunnel tests and computational fluid dynamics (CFD). The speedup effects of mean wind and specific turbulence properties, i.e., turbulence intensity, power spectral density (PSD) and coherence function, are highlighted. Then a hybrid simulation framework for generating three dimensional (3D) wind velocity field in the mountainous area was proposed by combining the CFD and proper orthogonal decomposition (POD) method given the properties of the target turbulence field. Finally, a practical 220 kV transmission line was employed to demonstrate the effectiveness of the proposed wind field generation framework and its role in the performance-based design. It was found that the terrain-induce turbulence effects dominate the performance-based structural design of transmission lines running through the mountainous area.

Development of the DGRS enriched in the high frequency range for APR1400 (고진등수 영역이 보강된 APR1400 설계지반응답스펙트럼의 개발)

  • 장영선;김태영;주광호;김종학
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2001.09a
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    • pp.67-74
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    • 2001
  • This paper presents the Safe Shutdown Earthquake(SSE) input motion for the seismic design of the Advanced Power Reactor 1400(APR1400). The Design Ground Response Spectra(DGRS) far the SSE is based on the design spectrum specified in regulatory Guide(RG) 1.60 of U.S. Nuclear Regulatory Commission(US NRC), anchored to a Peak Ground Acceleration(PGA) of 0.3g and enriched in the high frequency range. This SSE seismic input motion is to be applied to the seismic analysis as the free-field seismic motion at the ground surface of both the rock and generic soil sites fur APRI1400. The enrichment for APR1400 seismic input motion is performed considering the current US NRC regulations, the seismic hazard studies performed by the Lawrence Livermore National Laboratory (LINL) and Electric Power Research Institute(EPRI) for the Central and Eastern United States nuclear power plant sites, and the seismic input motions used in the design certifications of the three existing U.S. advanced standard plants. It is represented by a set of DGRS and the accompanying Target Power Spectral Density(PSD) Function in both the horizontal and vertical directions.

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