• Title/Summary/Keyword: white noise excitation

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A control technique for random parametric system (I)

  • Han, Jungyoup;Kim, Minsung;Heo, Hoon
    • 제어로봇시스템학회:학술대회논문집
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    • 1995.10a
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    • pp.440-443
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    • 1995
  • A control strategy for random parametic system by using FLC is investigated and developed. In the course of research, as a first part, nonlinear system under random disturbance is investigated. Preliminary results is presented in the paper. A control technique, GA based FLC, is employed successfully for inverted pendulum experiencing white noise excitation.

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Stochastic ship roll motion via path integral method

  • Cottone, G.;Paola, M. Di;Ibrahim, R.;Pirrotta, A.;Santoro, R.
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.2 no.3
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    • pp.119-126
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    • 2010
  • The response of ship roll oscillation under random ice impulsive loads modeled by Poisson arrival process is very important in studying the safety of ships navigation in cold regions. Under both external and parametric random excitations the evolution of the probability density function of roll motion is evaluated using the path integral (PI) approach. The PI method relies on the Chapman-Kolmogorov equation, which governs the response transition probability density functions at two close intervals of time. Once the response probability density function at an early close time is specified, its value at later close time can be evaluated. The PI method is first demonstrated via simple dynamical models and then applied for ship roll dynamics under random impulsive white noise excitation.

Application of Viscoelastic Dampers for Vibration Control of Buildings Connected by Skybridge (Skybridge로 연결된 구조물의 진동제어를 위한 점탄성감쇠기의 활용)

  • 김진구;류진국
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2003.10a
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    • pp.63-70
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    • 2003
  • This study investigates the seismic responses of two structures connected by sky-bridges equipped with viscoelastic dampers (VED) in the bridge-building connections. The applicability of the method is verified first by computing RMS responses of two-degrees-of-freedom systems subjected to white noise ground excitation. Then model structures with various number of stories are analyzed using EL CENTRO earthquake excitation to observe the effect of the varying size of VED on reduction of responses. According to the analysis results, there exists a proper size of VED which minimizes the structural responses. It is also observed that the effectiveness of VED increases as the difference of natural frequencies between the two connected structures increases.

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Direct integration method for stochastic finite element analysis of nonlinear dynamic response

  • Zhang, S.W.;Ellingwood, B.;Corotis, R.;Zhang, Jun
    • Structural Engineering and Mechanics
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    • v.3 no.3
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    • pp.273-287
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    • 1995
  • Stochastic response of systems to random excitation can be estimated by direct integration methods in the time domain such as the stochastic central difference method (SCDM). In this paper, the SCDM is applied to compute the variance and covariance in response of linear and nonlinear structures subjected to random excitation. The accuracy of the SCDM is assessed using two-DOF systems with both deterministic and random material properties excited by white noise. For the former case, closed-form solutions can be obtained. Numerical results also are presented for a simply supported geometrically nonlinear beam. The stiffness of this beam is modeled as a random field, and the beam is idealized by the stochastic finite element method. A perturbation technique is applied to formulate the equations of motion of the system, and the dynamic structural response statistics are obtained in a time domain analysis. The effect of variations in structural parameters and the numerical stability of the SCDM also are examined.

Damage evaluation of seismic response of structure through time-frequency analysis technique

  • Chen, Wen-Hui;Hseuh, Wen;Loh, Kenneth J.;Loh, Chin-Hsiung
    • Structural Monitoring and Maintenance
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    • v.9 no.2
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    • pp.107-127
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    • 2022
  • Structural health monitoring (SHM) has been related to damage identification with either operational loads or other environmental loading playing a significant complimentary role in terms of structural safety. In this study, a non-parametric method of time frequency analysis on the measurement is used to address the time-frequency representation for modal parameter estimation and system damage identification of structure. The method employs the wavelet decomposition of dynamic data by using the modified complex Morlet wavelet with variable central frequency (MCMW+VCF). Through detail discussion on the selection of model parameter in wavelet analysis, the method is applied to study the dynamic response of both steel structure and reinforced concrete frame under white noise excitation as well as earthquake excitation from shaking table test. Application of the method to building earthquake response measurement is also examined. It is shown that by using the spectrogram generated from MCMW+VCF method, with suitable selected model parameter, one can clearly identify the time-varying modal frequency of the reinforced concrete structure under earthquake excitation. Discussions on the advantages and disadvantages of the method through field experiments are also presented.

Correlation between torsional vibration and translational vibration

  • Jeng, V.;Tsai, Y.L.
    • Structural Engineering and Mechanics
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    • v.13 no.6
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    • pp.671-694
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    • 2002
  • This paper presents theoretical investigation on the cross correlation between torsional vibration ($u_{\theta}$) and translation vibration ($u_x$) of asymmetrical structure under white noise excitation. The formula reveals that the cross correlation coefficient (${\rho}$) is a function of uncoupled frequency ratio (${\Omega}={\omega}_{\theta}/{\omega}_x$), eccentricity, and damping ratio (${\xi}$). Simulations involving acceleration records from fifteen different earthquakes show correlation coefficients results similar to the theoretical correlation coefficients. The uncoupled frequency ratio is the dominating parameter to ${\rho}$; generally, ${\rho}$ is positive for ${\omega}_{\theta}/{\omega}_x$ > 1.0, negative for ${\omega}_{\theta}/{\omega}_x$ < 1.0, and close to zero for ${\omega}_{\theta}/{\omega}_x$ = 1.0. When the eccentricity or damping ratio increases, ${\rho}$ increases moderately for small ${\Omega}$ (< 1.0) only. The relation among $u_x$, $u_{\theta}$ and corner displacement are best presented by ${\rho}$; a simple way to hand-calculate the theoretical dynamic corner displacements from $u_x$, $u_{\theta}$ and ${\rho}$ is proposed as an alternative to dynamic analysis.

Dynamic Test of Structural Models Using 4m $\times$ 4m Shaking Table (4m$\times$4m 진동대를 이용한 구조모델의 동적실험)

  • 이한선
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 1997.04a
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    • pp.207-214
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    • 1997
  • The objective of this study is to review the current stare of earthquake simulation techniques using the shaking table and check the reliability. One degree-of-freedom(d.o.f.)and three d.o.f. aluminium shear models were used and 4m$\times$4m 6 d.o.f. shaking table was excitated in one horizontal direction to simulate 1940 El centro earthquake accelerogram (NS component). When the acceleration history of shaking table is compared to the desired one, it can be found that the overall histories are very similar, but that the lower frequency range (0~2 Hz) of the actual excitation has generally lower amplitude than that of the desired in fourier transform amplitude. Free vibration and white noise tests have shown almost the same values for natural frequencies, but shown quite different values for damping ratios, that is, 1.37% in case of r\free vibration test vs 14.76% in case of white noise test. The time histories of story shear versus story drift show the globally linear elastic behaviors. But the elliptical shape of the histories with one of the axis being the stiffness of the story implies the effect of viscous damping.

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Prediction of Vibrational Responses of Automotive Door System Using Energy Flow Analysis in Medium-to-high Frequencies (에너지흐름해석법을 이용한 중고주파수 대역 자동차 도어 진동예측)

  • Park, Young-Ho;Hong, Suk-Yoon;Kil, Hyun-Gwon
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.20 no.11
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    • pp.1097-1102
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    • 2010
  • In this paper, the energy flow analysis(EFA) of the body-in-white door of a real automotive was performed using the energy flow finite element method(EFFEM) to effectively predict the vibrational responses of built-up structures in the medium to high frequency range. To increase the validity of EFA results, the structural hysteresis damping loss factor was measured by the experiment using the concept of statistical energy analysis(SEA). As the excitation frequency increases, the predicted results simulated with EFFEM generally agree with the experimental results.

Generalization of the statistical moment-based damage detection method

  • Zhang, J.;Xu, Y.L.;Xia, Y.;Li, J.
    • Structural Engineering and Mechanics
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    • v.38 no.6
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    • pp.715-732
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    • 2011
  • A novel structural damage detection method with a new damage index has been recently proposed by the authors based on the statistical moments of dynamic responses of shear building structures subject to white noise ground motion. The statistical moment-based damage detection (SMBDD) method is theoretically extended in this paper with general application. The generalized SMBDD method is more versatile and can identify damage locations and damage severities of many types of building structures under various external excitations. In particular, the incomplete measurements can be considered by the proposed method without mode shape expansion or model reduction. Various damage scenarios of two general forms of building structures with incomplete measurements are investigated in consideration of different excitations. The effects of measurement noise are also investigated. The damage locations and damage severities are correctly identified even when a high noise level of 15% and incomplete measurements are considered. The effectiveness and versatility of the generalized SMBDD method are demonstrated.

Experiment of a Liquid Damper Controlling Bi-directional Wind Responses of a Tall Building (초고층 건물의 양방향 풍응답 제어를 위한 액체댐퍼 실험)

  • Lee, Hye-Ri;Min, Kyung-Won
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.20 no.3
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    • pp.287-295
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    • 2010
  • This study deals with the design of a bi-directional damper using a tuned liquid damper(TLD) and a tuned liquid column damper(TLCD) for a SDOF building. Two dampers are usually needed to reduce wind-induced responses of tall buildings since they are along and across wind ones. The proposed damper has the advantage of controlling both responses with a single damper. The damper used in this study behaves as both a TLCD in a specific translational direction and a TLD in the other orthogonal direction. This paper presents experimental verification to confirm its control performance. First, shaking table test is carried out to investigate reducing responses by the damper. Control performance of the damper is expressed by the transfer function from shaking table accelerations to SDOF building ones. Testing results show that the damper reduced bi-directional responses of a SDOF building. Also, it reduced torsion responses.