• 제목/요약/키워드: mathematical structures

검색결과 937건 처리시간 0.025초

The Performance Improvement of a Linear CCD Sensor Using an Automatic Threshold Control Algorithm for Displacement Measurement

  • Shin, Myung-Kwan;Choi, Kyo-Soon;Park, Kyi-Hwan
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2005년도 ICCAS
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    • pp.1417-1422
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    • 2005
  • Among the sensors mainly used for displacement measurement, there are a linear CCD(Charge Coupled Device) and a PSD(Position Sensitive Detector) as a non-contact type. Their structures are different very much, which means that the signal processing of both sensors should be applied in the different ways. Most of the displacement measurement systems to get the 3-D shape profile of an object using a linear CCD are a computer-based system. It means that all of algorithms and mathematical operations are performed through a computer program to measure the displacement. However, in this paper, the developed system has microprocessor and other digital components that make the system measure the displacement of an object without a computer. The thing different from the previous system is that AVR microprocessor and FPGA(Field Programmable Gate Array) technology, and a comparator is used to play the role of an A/D(Analog to Digital) converter. Furthermore, an ATC(Automatic Threshold Control) algorithm is applied to find the highest pixel data that has the real displacement information. According to the size of the light circle incident on the surface of the CCD, the threshold value to remove the noise and useless data is changed by the operation of AVR microprocessor. The total system consists of FPGA, AVR microprocessor, and the comparator. The developed system has the improvement and shows the better performance than the system not using the ATC algorithm for displacement measurement.

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Mathematical explanation on the POD applications for wind pressure fields with or without mean value components

  • Zhang, Jun-Feng;Ge, Yao-Jun;Zhao, Lin;Chen, Huai
    • Wind and Structures
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    • 제23권4호
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    • pp.367-383
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    • 2016
  • The influence mechanism of mean value components, noted as $P_0$, on POD applications for complete random fields $P_C(t)$ and fluctuating random fields $P_F(t)$ are illustrated mathematically. The critical philosophy of the illustration is introduction of a new matrix, defined as the correlation function matrix of $P_0$, which connect the correlation function matrix of $P_C(t)$ and $P_F(t)$, and their POD results. Then, POD analyses for several different wind pressure fields were presented comparatively as validation. It's inevitable mathematically that the first eigenmode of $P_C(t)$ resembles the distribution of $P_0$ and the first eigenvalue of $P_C(t)$ is close to the energy of $P_0$, due to similarity of the correlation function matrixs of $P_C(t)$ and $P_0$. However, the viewpoint is not rigorous mathematically that the first mode represents the mean pressure and the following modes represent the fluctuating pressure when $P_C(t)$ are employed in POD application. When $P_C(t)$ are employed, POD results of all modes would be distorted by the mean value components, and it's impossible to identify $P_0$ and $P_F(t)$ separately. Consequently, characteristics of the fluctuating component, which is always the primary concern in wind pressure field analysis, can only be precisely identified with $P_0$ excluded in POD.

광탄성 위상이동법을 이용한 인장판 경사균열 선단주위의 프린지 해석 (Fringe Analysis around an Inclined Crack Tip of Finite-Width Plate under Tensile Load by Photoelastic Phase-Shifting Method)

  • 리웨이정;백태현;홍동표;이병희;서진
    • 비파괴검사학회지
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    • 제32권1호
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    • pp.27-33
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    • 2012
  • 광탄성법은 실험역학에서 응력 또는 변형률을 해석하기 위한 여러 실험방법 중의 하나이며, 다양한 종류의 구조물의 응력 분포를 실험적으로 결정하는 기법이다. 광탄성법은 광탄성 영상의 등색 프린지와 등경 프린지로부터 광탄성 시편에 나타나는 전체의 응력장 분포를 정밀하게 측정할 수 있다. 본 논문에서는 여러 가지 광탄성 기법중 8단계 위상이동법(8-step phase-shifting method)에 관한 이론을 살펴보고, 경사균열이 있는 평판 시편에 인장을 가하여 나타난 광탄성 프린지로부터 경사균열 선단주위의 응력분포를 8단계 위상이동법으로 결정한 후, 이들 결과를 유한요소법(FEM)에 의한 결과와 비교하였다. 8단계 위상이동법을 이용한 실험에 의해 측정된 프린지 차수는 유한요소법에 의한 계산된 프린지 차수값에 근접하였다.

Simulations of fluidelastic forces and fretting wear in U-bend tube bundles of steam generators: Effect of tube-support conditions

  • Hassan, Marwan;Mohany, Atef
    • Wind and Structures
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    • 제23권2호
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    • pp.157-169
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    • 2016
  • The structural integrity of tube bundles represents a major concern when dealing with high risk industries, such as nuclear steam generators, where the rupture of a tube or tubes will lead to the undesired mixing of the primary and secondary fluids. Flow-induced vibration is one of the major concerns that could compromise the structural integrity. The vibration is caused by fluid flow excitation. While there are several excitation mechanisms that could contribute to these vibrations, fluidelastic instability is generally regarded as the most severe. When this mechanism prevails, it could cause serious damage to tube arrays in a very short period of time. The tubes are therefore stiffened by means of supports to avoid these vibrations. To accommodate the thermal expansion of the tube, as well as to facilitate the installation of these tube bundles, clearances are allowed between the tubes and their supports. Progressive tube wear and chemical cleaning gradually increases the clearances between the tubes and their supports, which can lead to more frequent and severe tube/support impact and rubbing. These increased impacts can lead to tube damage due to fatigue and/or wear at the support locations. This paper presents simulations of a loosely supported multi-span U-bend tube subjected to turbulence and fluidelastic instability forces. The mathematical model for the loosely-supported tubes and the fluidelastic instability model is presented. The model is then utilized to simulate the nonlinear response of a U-bend tube with flat bar supports subjected to cross-flow. The effect of the support clearance as well as the support offset are investigated. Special attention is given to the tube/support interaction parameters that affect wear, such as impact and normal work rate.

광학식 장거리 계측을 위한 다중영점 광빔의 영점 배치에 관한 기초 이론 (Fundamental Theory on the Zeros Distribution of Multizeros Optical Beam for Longrange Optical Measurement Applications)

  • 후지모토이쿠마츠;사토세이치;쿠리하라토루;안도시게루;김민영
    • 한국정밀공학회지
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    • 제27권3호
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    • pp.33-40
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    • 2010
  • Multizeros(multiple order zeros) optical beams which belong to the Laguerre-Gaussian beams, have rotational phase and conically-shaped amplitude structures around multizeros points in their phase and amplitude profiles, respectively. Especially, they have their own characteristics that the multizero points do not vanish over free-space propagation. Therefore, they are expected to be adequate for the applications of long-range optical measurement by using their multizero points as optical markers for the deformation sensing. In this paper, fundamental properties of multizeros optical beams for long-range optical measurement applications are investigated and clarified. In particular, the mathematical investigations are described on the characteristics of multizeoros optical beams such as (1) separation of a multizero into isolated single order zeros, (2) topological charge of zeros distribution which are induced by superposing them. And also the outline of a fundamental experiment and its result are explained briefly.

최적 시스토릭 어레이의 자동설계 (The Automatic Design of Optimal Systolic Arrays)

  • 성기택;신동석;이덕수
    • 수산해양기술연구
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    • 제26권3호
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    • pp.295-302
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    • 1990
  • 본 연구에서는 시스토릭 어레이의 처리요소 수와 주어진 알고리즘을 처리하는 시간 두 평가기준에 대해서 최적의 시스토릭 어레이를 구현하기 위한 자동설계 소프트웨어 패케지를 개발하였다. 알고리즘의 크기에 맞는 시스토릭 어레이는 많은 처리요소를 요구하기 때문에 비효율적이므로 알고리즘을 분할하여 고정된 크기의 시스토릭 어레이로 사상시키는 방법을 이용했다. 시스토릭 어레이 설계과정에서 고려될 수 있는 여러 가지 사항들을 고려하여 처리요소의 통신패스 방향의 수를 줄이고 의존행렬의 열 벡터에서 값이 같은 열 벡터는 단일화하여 의존행렬의 크기를 줄여 발생되는 이용행렬의 수를 크게 줄였다. 따라서 기존의 Moldovan에 의한 방법보다 시스토릭 어레이를 설계하는 시간을 단축시켰으며, 처리요소의 수, 알고리즘의 수행시간, 분할밴드의 수 등을 계산하여 최적의 시스토릭 어레이를 설계했다. 작성된 프로그램에 동적 프로그래밍 알고리즘, QR분해 알고리즘과 행렬곱 알고리즘을 적용하여 각각에 대한 최적의 시스토릭 어레이를 설계하였으며 설계된 어레이의 구성을 CRT에 나타내어 어레이의 형태를 쉽게 인식할 수 있게 했다. 본 연구의 결과는 빠른 응답을 요구하는 신호 처리 및 데이터베이스 등에서 특수회로를 설계할 때 응용 될 수 있다. 그러나 본 연구에서의 시스토릭 어레이는 처리요소들이 분산되어 지역적으로 상호 연결되어 있으므로 한 처리요소가 제대로 동작하지 않으며 전체결과가 잘못된다. 따라서 몇 개의 처리 요소가 동작되지 않을 경우에도 전체 시스템이 정확하게 동작할 수 있는 폴트톨러런스 시스템의 설계가 앞으로의 고려사항이다.

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블록순환 행렬에 의한 이중나선 DNA 구조 (I) (A Double Helix DNA Structure Based on the Block Circulant Matrix (I))

  • 이성국;박주용;이문호
    • 한국인터넷방송통신학회논문지
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    • 제16권3호
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    • pp.203-211
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    • 2016
  • 유전자 코드는 바이오 정보 처리에 키 포인트로 인체의 유기적인 조직체이다. 현대 과학에서는 유전자 코드 분자구조의 신비스러운 특성을 체계적으로 설명하고 이해하는데 연구가 집중되고 있다. 본 논문에서는 유전자 시스템을 대칭적으로 해석하는데 중점을 두었고, Jacket 행렬로 무잡음 RNA 유전자 코드를 가장 단순하게 해석했다. 이유는 Jacket 행렬과 RNA는 그 역행렬이 Element (Block)-wise Inverse로 그 역(Inverse)도 자신이란 점과 대칭적 성질, 그리고 Kronecker곱을 갖기 때문이다. 제안된 방법이 유전자 RNA 코돈(Codon : 괘(卦))의 견지에서 Jacket 행렬의 분해를 통해 간단하고 명료함을 보인다.

화학물질의 누출에서 빠른 감지를 위한 센서 배치 최적화 (Optimal Sensor Placement for Rapid Detecting in Chemical Leak Accident)

  • 조재훈;김현승;김태옥;신동일
    • 한국가스학회지
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    • 제20권2호
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    • pp.66-71
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    • 2016
  • 현재 산업단지에는 수많은 센서로부터 얻는 정보를 이용해 누출 발생지역을 감지 감시하고 있다. 그러나 화학물질 누출사고는 꾸준히 발생하고 있으며, 때에 따라 다량의 화학물질이 누출되는 경우에는 큰 피해가 발생하고 있다. 이때 중요하게 작용하는 센서 배치가 현재까지는 과거의 경험을 통하여 그 결정이 이루어지거나, 또는 센서제작 업체에서 제시하는 가이드를 통하여 설치되고 있다. 따라서 본 연구에서는 화학물질 누출이 일어났을 때 빠른 감지 및 대응을 위해 가장 중요한 요소인 센서 배치 최적화 방법론을 제시하였다. 특히 공정구조에 따른 누출흐름이 미반영된 상태에서 초기 배치 최적화를 위해 센서 개수 최소화 측면과 화학물질감지확률 측면으로 나누어 일반적으로 사용할 수 있는 수식을 제시하였다. 제시된 방법은 간단한 누출 시나리오를 이용하여 검증을 진행하였고, 이를 통해 각 공정의 안전성 목표치를 성취함으로써 안전한 공정 운영이 가능하도록 하였다.

Evaluating long-term relaxation of high strength bolts considering coating on slip faying surface

  • Nah, Hwan-Seon;Lee, Hyeon-Ju;Choi, Sung-Mo
    • Steel and Composite Structures
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    • 제16권6호
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    • pp.703-718
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    • 2014
  • The initial clamping forces of high strength bolts subjected to different faying surface conditions drop within 500 hours regardless of loading, any other external force or loosening of the nut. This study develops a mathematical model for relaxation confined to creep on a coated faying surface after initial clamping. The quantitative model for estimating relaxation was derived from a regression analysis for the relation between the creep strain of the coated surface and the elapsed time for 744 hours. This study establishes an expected model for estimating the relaxation of bolted joints with diverse coated surfaces. The candidate bolts are dacro-coated tension control bolts, ASTM A490 bolt, and plain tension control bolts. The test parameters were coating thickness, species of coating. As for 96, 128, 168, and $226{\mu}m$ thick inorganic zinc, when the coating thickness was increased, relaxation after the initial clamping rose to a much higher range from 10% to 18% due to creep of the coating. The amount of relaxation up to 7 days exceeded 85% of the entire relaxation. From this result, the equation for creep strain can be derived from a statistical regression analysis. Based on the acquired creep behavior, it is expected that the clamping force reflecting relaxation after the elapse of constant time can be calculated from the initial clamping force. The manufacturer's recommendation of inorganic zinc on faying surface as $75{\mu}m$, appears to be reasonable.

Non-linear analysis of side-plated RC beams considering longitudinal and transversal interlayer slips

  • Kolsek, Jerneja;Hozjan, Tomaz;Kroflic, Ales;Saje, Miran;Planinc, Igor
    • Steel and Composite Structures
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    • 제16권6호
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    • pp.559-576
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    • 2014
  • A new mathematical model and its finite element formulation for the non-linear stress-strain analysis of a planar beam strengthened with plates bolted or adhesively bonded to its lateral sides is presented. The connection between the layers is considered to be flexible in both the longitudinal and the transversal direction. The following assumptions are also adopted in the model: for each layer (i.e., the beam and the side plates) the geometrically linear and materially non-linear Bernoulli's beam theory is assumed, all of the layers are made of different homogeneous non-linear materials, the debonding of the beam from the side-plates due to, for example, a local buckling of the side plate, is prevented. The suitability of the theory is verified by the comparison of the present numerical results with experimental and numerical results from literature. The mechanical response arising from the theoretical model and its numerical formulation has been found realistic and the numerical model has been proven to be reliable and computationally effective. Finally, the present formulation is employed in the analysis of the effects of two different realizations of strengthening of a characteristic simply supported flexural beam (plates on the sides of the beam versus the tension-face plates). The analysis reveals that side plates efficiently enhance the bearing capacity of the flexural beam and can, in some cases, outperform the tensile-face plates in a lower loss of ductility, especially, if the connection between the beam and the side plates is sufficiently stiff.