• 제목/요약/키워드: Random Analysis

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자이로 랜덤 프로세스의 분석 (An analysis of the gyro random process)

  • 고영웅;김경주;이재철;권태무
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1996년도 한국자동제어학술회의논문집(국내학술편); 포항공과대학교, 포항; 24-26 Oct. 1996
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    • pp.210-212
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    • 1996
  • Random drift rate (i.e., random drift in angle rate) of a gyro represents the major error source of inertial navigation systems that are required to operate over long time intervals. It is uncorrectable and leads to an increase in the error with the passage of time. In this paper a technique is presented for analyzing random process from experimental data and the results are presented. The problem of estimating the a priori statistics of a random process is considered using time averages of experimental data. Time averages are calculated and used in the optimal data-processing techniques to determine the statistics of the random process. Therefore the contribution each component to the gyro drift process can be quantitatively measured by its statistics. The above techniques will be applied to actual gyro drift rate data with satisfactory results.

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Homogenized thermal properties of 3D composites with full uncertainty in the microstructure

  • Ma, Juan;Wriggers, Peter;Li, Liangjie
    • Structural Engineering and Mechanics
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    • 제57권2호
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    • pp.369-387
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    • 2016
  • In this work, random homogenization analysis for the effective thermal properties of a three-dimensional composite material with unidirectional fibers is presented by combining the equivalent inclusion method with Random Factor Method (RFM). The randomness of the micro-structural morphology and constituent material properties as well as the correlation among these random parameters are completely accounted for, and stochastic effective thermal properties as thermal expansion coefficients as well as their correlation are then sought. Results from the RFM and the Monte-Carlo Method (MCM) are compared. The impact of randomness and correlation of the micro-structural parameters on the random homogenized results is revealed by two methods simultaneously, and some important conclusions are obtained.

불규칙 섬유배열을 가진 일방향 복합재료의 경계면 변형률 분포 해석 (Interfacial Strain Distribution of a Unidirectional Composite with Randomly Distributed Fibers)

  • 하성규;진교국;오제훈
    • 대한기계학회논문집A
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    • 제30권3호
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    • pp.260-268
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    • 2006
  • The micromechanical approach was used to investigate the interfacial strain distributions of a unidirectional composite under transverse loading in which fibers were usually found to be randomly packed. Representative volume elements (RVE) for the analysis were composed of both regular fiber arrays such as a square array and a hexagonal array, and a random fiber array. The finite element analysis was performed to analyze the normal, tangential and shear strains at the interface. Due to the periodic characteristics of the strain distributions at the interface, the Fourier series approximation with proper coefficients was utilized to evaluate the strain distributions at the interface for the regular and random fiber arrays with respect to fiber volume fractions. From the analysis, it was found that the random arrangement of fibers had a significant influence on the strain distribution at the interface, and the strain distribution in the regular fiber arrays was one of special cases of that in the random fiber array.

WAVELET ANALYSIS OF VEHICLE NONSTATIONARY VIBRATION UNDER CORRELATED FOUR-WHEEL RANDOM EXCITATION

  • Wang, Y.S.;Lee, C.M.;Zhang, L.J.
    • International Journal of Automotive Technology
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    • 제5권4호
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    • pp.257-268
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    • 2004
  • The wavelet analysis method is introduced in this paper to study the nonstationary vibration of vehicles. A new road model, a so-called time domain correlated four-wheel road roughness, which considers the coherence relationships between the four wheels of a vehicle, has been newly developed. Based on a vehicle model with eight degrees of freedom, the analysis of nonstationary random vibration responses was carried out in a time domain on a computer. Verification of the simulation results show that the proposed road model is more accurate than previous ones and that the simulated responses are credible enough when compared with some references. Furthermore, by taking wavelet analysis on simulated signals, some substantial rules of vehicle nonstationary vibration, such as the relationship between each vibration level, and how the vibration energy flows on a time-frequency map, beyond those from conventional spectral analysis, were revealed, and these will be of much benefit to vehicle design.

Natural frequency characteristics of composite plates with random properties

  • Salim, S.;Iyengar, N.G.R.;Yadav, D.
    • Structural Engineering and Mechanics
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    • 제6권6호
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    • pp.659-671
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    • 1998
  • Exercise of complete control on all aspects of any manufacturing / fabrication process is very difficult, leading to uncertainties in the material properties and geometric dimensions of structural components. This is especially true for laminated composites because of the large number of parameters associated with its fabrication. When the basic parameters like elastic modulus, density and Poisson's ratio are random, the derived response characteristics such as deflections, natural frequencies, buckling loads, stresses and strains are also random, being functions of the basic random system parameters. In this study the basic elastic properties of a composite lamina are assumed to be independent random variables. Perturbation formulation is used to model the random parameters assuming the dispersions small compared to the mean values. The system equations are analyzed to obtain the mean and the variance of the plate natural frequencies. Several application problems of free vibration analysis of composite plates, employing the proposed method are discussed. The analysis indicates that, at times it may be important to include the effect of randomness in material properties of composite laminates.

A stochastic finite element method for dynamic analysis of bridge structures under moving loads

  • Liu, Xiang;Jiang, Lizhong;Xiang, Ping;Lai, Zhipeng;Zhang, Yuntai;Liu, Lili
    • Structural Engineering and Mechanics
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    • 제82권1호
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    • pp.31-40
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    • 2022
  • In structural engineering, the material properties of the structures such as elastic modulus, shear modulus, density, and size may not be deterministic and may vary at different locations. The dynamic response analysis of such structures may need to consider these properties as stochastic. This paper introduces a stochastic finite element method (SFEM) approach to analyze moving loads problems. Firstly, Karhunen-Loéve expansion (KLE) is applied for expressing the stochastic field of material properties. Then the mathematical expression of the random field is substituted into the finite element model to formulate the corresponding random matrix. Finally, the statistical moment of the dynamic response is calculated by the point estimation method (PEM). The accuracy and efficiency of the dynamic response obtained from the KLE-PEM are demonstrated by the example of a moving load passing through a simply supported Euler-Bernoulli beam, in which the material properties (including elastic modulus and density) are considered as random fields. The results from the KLE-PEM are compared with those from the Monte Carlo simulation. The results demonstrate that the proposed method of KLE-PEM has high accuracy and efficiency. By using the proposed SFEM, the random vertical deflection of a high-speed railway (HSR) bridge is analyzed by considering the random fields of material properties under the moving load of a train.

Seismic train-bridge coupled system sensitivity analysis considering random aftershock intensity and residual track deformation

  • Jincheng Tan;Manman Chen;Xiang Liu;Han Zhao;Lizhong Jiang;Peidong Guo;Wangbao Zhou;Ping Xiang
    • Structural Engineering and Mechanics
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    • 제91권1호
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    • pp.25-38
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    • 2024
  • After the mainshock, whether the train can be allowed to pass the bridges plays an important role in ensuring the transport of supplies and rescue works for example, in the "12 May" earthquake in China, after evaluation, the bridge was still used for transportation in rescue at a very slow speed, engineers usually evaluate whether the train can pass the bridge safely based on the experience, lacks sufficient calculation basis and does not fully consider the risk caused by aftershocks. To address this issue, this paper comprehensively considers the randomness of track irregularity, the randomness of aftershock intensity and other multiple random sources in train-bridge interaction system (TBIS). The sensitivity of train to various random parameters after earthquake is analyzed from the perspective of probability, the most sensitive random variable in this paper is PGA of aftershocks, both for bridge and trailer car, With the increase of epicentral distance, the sensitivity of PGA will decrease, and correspondingly, for trailer car, the sensitivity of other random variables will increase, research in this paper provides a basis for the subsequent random analysis of post-earthquake driving safety.

랜덤 미세구조에 따른 입자 복합재료의 특성분석 (Characteristic Analysis of Particulate Composites According to a Random Microstructure)

  • 박천;강영진;노유정;임오강
    • 한국전산구조공학회논문집
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    • 제30권1호
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    • pp.23-30
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    • 2017
  • 입자 복합재료는 입자의 형상, 크기 그리고 분포의 산포특성으로 인해 물성치의 편차가 존재하고, 입자 복합재료를 사용한 시스템의 거동 또한 산포가 존재한다. 하지만 입자의 산포특성을 고려하기 어려우므로 균질화법을 사용하여 시스템의 거동을 해석하거나 국부영역에서 미세구조를 적용하여 해석한다. 본 연구에서는 입자의 랜덤적 산포특성을 고려하기 위해 RMDFs(random morphology description functions)를 사용하여 랜덤 미세구조를 생성하였고, 단면 1차 모멘트를 사용하여 가우시안 함수의 수(N)와 입자의 산포특성의 관계를 분석하였다. 그리고 랜덤 미세구조 구조물의 거동을 분석하기 위하여 랜덤 미세구조를 전체에 반영한 외팔보에 multi-scale 해석을 수행하였다. 그 결과 입자의 산포특성과 외팔보의 처짐의 편차는 N의 증가에 따라 감소하고 N=200에서 수렴하는 것을 확인하였다.

무작위 터치 발생 탐지를 이용한 안드로이드 앱 자동 분석 회피에 관한 연구 (Avoiding Automatic Android App Analysis by Detecting Random Touch Generation)

  • 윤한재;이만희
    • 융합보안논문지
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    • 제15권7호
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    • pp.21-29
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    • 2015
  • 급속하게 늘어나는 악성앱을 효과적으로 분석하기 위해 악성앱 자동 분석 시스템이 구축 활용되고 있다. 악성앱의 행위를 보다 많이 활성화시키기 위해 무작위 터치를 발생시키는 자동 터치 모듈을 추가하는 연구가 진행되고 있다. 본 연구에서는 실제 사람의 터치와 자동으로 발생되는 무작위 터치와의 차이를 구별할 수 있는 방안을 제시한다. 실험을 바탕으로 사람들은 한번 터치 후 다음 터치와의 거리가 자동화 모듈보다 짧은 경향이 있으며, 손가락 움직임으로 터치할 수 있는 빠르기도 한계가 있고, 사람은 일반적으로 스마트폰의 최 외곽 지역은 잘 터치하지 않는다는 사실을 알게 되었다. 본 연구에서는 실험을 통해 얻은 통계적 수치를 이용하여 스마트폰의 터치에서 사람인지 자동화 모듈인지 판단할 수 있는 알고리즘을 개발하였다. 본 연구는 궁극적으로 자동 터치 발생을 통한 자동 분석 시스템 고도화에 기여할 것으로 예상된다.

압밀계수의 공간변동성에 따른 압밀도의 확률론적 해석 (The probabilistic Analysis of Degree of Consolidation by Spatial Variability of Cv)

  • 봉태호;손영환;노수각;박재성
    • 한국농공학회논문집
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    • 제54권3호
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    • pp.55-63
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    • 2012
  • Soil properties are not random values which is represented by mean and standard deviation but show spatial correlation. Especially, soils are highly variable in their properties and rarely homogeneous. Thus, the accuracy and reliability of probabilistic analysis results is decreased when using only one random variable as design parameter. In this paper, to consider spatial variability of soil property, one-dimensional random fields of coefficient of consolidation ($C_v$) were generated based on a Karhunen-Loeve expansion. A Latin hypercube Monte Calro simulation coupled with finite difference method for Terzaghi's one dimensional consolidation theory was then used to probabilistic analysis. The results show that the failure probability is smaller when consider spatial variability of $C_v$ than not considered and the failure probability increased when the autocorrelation distance increased. Thus, the uncertainty of soil can be overestimated when spatial variability of soil property is not considered, and therefore, to perform a more accurate probabilistic analysis, spatial variability of soil property needed to be considered.