• 제목/요약/키워드: Mathematical Pattern

검색결과 334건 처리시간 0.022초

On the use of the Lagrange Multiplier Technique for the unilateral local buckling of point-restrained plates, with application to side-plated concrete beams in structural retrofit

  • Hedayati, P.;Azhari, M.;Shahidi, A.R.;Bradford, M.A.
    • Structural Engineering and Mechanics
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    • 제26권6호
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    • pp.673-685
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    • 2007
  • Reinforced concrete beams can be strengthened in a structural retrofit process by attaching steel plates to their sides by bolting. Whilst bolting produces a confident degree of shear connection under conditions of either static or seismic overload, the plates are susceptible to local buckling. The aim of this paper is to investigate the local buckling of unilaterally-restrained plates with point supports in a generic fashion, but with particular emphasis on the provision of the restraints by bolts, and on the geometric configuration of these bolts on the buckling loads. A numerical procedure, which is based on the Rayleigh-Ritz method in conjunction with the technique of Lagrange multipliers, is developed to study the unilateral local buckling of rectangular plates bolted to the concrete with various arrangements of the pattern of bolting. A sufficient number of separable polynomials are used to define the flexural buckling displacements, while the restraint condition is modelled as a tensionless foundation using a penalty function approach to this form of mathematical contact problem. The additional constraint provided by the bolts is also modelled using Lagrange multipliers, providing an efficacious method of numerical analysis. Local buckling coefficients are determined for a range of bolting configurations, and these are compared with those developed elsewhere with simplifying assumptions. The interaction of the actions in bolted plates during buckling is also considered.

Enhancement of antimicrobial properties of shoe lining leather using chitosan in leather finishing

  • Mahmud, Yead;Uddin, Nizam;Acter, Thamina;Uddin, Md. Minhaz;Chowdhury, A.M. Sarwaruddin;Bari, Md. Latiful;Mustafa, Ahmad Ismail;Shamsuddin, Sayed Md.
    • Advances in materials Research
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    • 제9권3호
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    • pp.233-250
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    • 2020
  • In this study, a chitosan based coating method was developed and applied on the shoe lining leather surface for evaluating its inhibition to bacterial and fungal attacks. At first, chitosan was prepared from raw prawn shells and then the prepared chitosan solution was applied onto the leather surface. Secondly, the characterization of the prepared chitosan and chitosan treated leather was performed by solubility test, ATR-FTIR, XRD pattern, SEM and TGA. Evaluation of antimicrobial efficacy of chitosan was assessed against two gram positive, two gram negative bacteria and a reputed fungi by agar diffusion test. The results of this study demonstrated that chitosan took place in both the surface of collagen fibres and inside the collagen matrix of crust leather. The chitosan showed strong antimicrobial activities against all the tested microorganisms and the inhibition increased with increasing percentage of chitosan. Therefore, the prepared chitosan in this study can be an environment friendly biocide, which functions simultaneously against different spoilage bacteria and fungi on the finished leather surface. Thus by using the prepared chitosan in shoe lining leather, the possibility of microbial attack during shoe wearing can be minimized which is one of the important hygienic requirements of footwear.

자체 항법 정보만을 이용한 비행 중 기압 고도계 설정 방법 (Procedure of Barometer Setting in Flight with On-board Navigation Data alone)

  • 정석영
    • 한국항공우주학회지
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    • 제40권4호
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    • pp.300-308
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    • 2012
  • 무인기의 INS/GPS/기압고도계 결합항법 시스템에서 비행체 자체 항법 정보만을 이용하여 QNH 혹은 QFE 방식의 기압 고도계를 설정하는 방법을 제안한다. 본 설정 방법은 비행체 외부로부터 주어지는 대기나 고도 정보에 의존하지 않고 자체 항법 시스템의 정보만을 사용하며 설정 방법에 따라 요구되는 일정 형태의 비행을 통해 얻어진 정보를 수학적으로 처리하여 기준값을 산출한다. 비행체 자체 정보만을 사용함으로써 지상 지원 장비에서 대기 정보 측정 시스템을 제외하는 등 간소화나 지원 시설의 요구 조건이 완화될 수 있고 지상 지원이 가용하지 않는 영역에서의 비행도 가능하다. 특히 회귀 분석 기법을 이용한 방법은 고도와 기압, 온도의 세 가지 기준값을 설정함에 있어 고도와 기압, 두 가지 정보만을 요구하며 온도 자료가 필요하지 않다. 그러므로 기압 고도 산출에 온도 정보가 전혀 필요하지 않아 비행체의 대기 정보 측정 시스템도 간소화될 수 있다.

수학적 형태학 처리를 통한 주행 중 과속 방지턱 자동 탐지 방안 (A Study on Automatic Detection of Speed Bump by using Mathematical Morphology Image Filters while Driving)

  • 주용진;함창학
    • 대한공간정보학회지
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    • 제21권3호
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    • pp.55-62
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    • 2013
  • 본 연구에서는 전방위 카메라(Omni-directional Camera)를 이용하여 과속방지턱(Speed Bump)을 탐지하고 Vision Based Approach 통한 실시간 과속 방지턱 데이터의 갱신 방안을 제시하는 것을 목적으로 한다. 카메라 영상정보에서 과속 방지턱을 검출하기 위해 잡음을 제거하고 이를 구성하는 형상과 패턴으로 여겨지는 점들을 우선적으로 탐지하여야 한다. 과속방지턱은 일정한 폭과 규칙적인 형태를 유지하며 흰색과 노란색의 영역을 가지고 있음에 착안하여 침식과 팽창을 이용한 형태학적 연산과 HSV칼라 모델을 적용하여 도로상의 과속방지턱을 추출하였다. 카메라에서 거대한 이미지 데이터를 수집하여 대상 객체를 검출하고 GPS 위치 정보를 이용하였다. 마지막으로 동시적 위치추정 및 지도작성 (SLAMs :Simultaneous Localization And Mapping) 시스템을 구현하여 탐지알고리즘과 취득결과의 정확성을 평가하였다.

그리스 조상(彫像)에 나타난 복식(服飾)의 조형성(造形性) 연구(硏究) - 드레퍼리와 주름을 중심(中心)으로 - (A Study on Plastic Characteristics in Style of Greek Statue's Clothing - Concentrating on Drapery and Pleats -)

  • 전혜정
    • 패션비즈니스
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    • 제6권1호
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    • pp.102-115
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    • 2002
  • The purposes of this study are to comprehend the internal meaning and the external form in style of Greek statue's clothing in the light of linked solution, and to compare the characterizations of style of Greek statue's clothing with those in Greek Art. For these purpose, the theoretical studies about Greek art are preceded as a framework of this research, and then plastic characteristics of Greek statue's clothing and Greek art are analyzed by the documentary studies, For sources, photographs of Greek statue in Archaeological Museum and Louvre museum are used. The result is as follows. It is demonstrated that the characters of internal meaning in style of Greek art and Greek statue's clothing. The internal meaning of style of Greek art and Greek statue's clothing are as follows 1) Beauty of vital is subject that possessed life and movement and embodied dynamics or inherent power. 2) Beauty of moderation is subject that achieves some of its most impressive and practise a similar economy and restraint. 3) Beauty of character is subject that reveals the character of its wearer and has its own charm and distinction The Greeks clarified beauty by looking for mathematical proportions. It is the interrelation of part with one another, and with the whole, together with the additional element of good colour, which constitutes beauty as perceived by the eyes. The beauty in style of Greek statue's clothing consists of a sense of geometrical pattern, oder, symmetry, proportion, and rhythm.

환경 교육과 수학 교육의 접점을 탐색 (How To Implement Environmental Issues in Mathematics Curriculum And Textbooks)

  • 박경미;김정여
    • 한국환경교육학회지:환경교육
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    • 제12권1호
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    • pp.172-188
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    • 1999
  • Mathematics has been usually recognized as value-neutral and anti-ideological subject, and as a result, it has not dealt with environmental problems clearly. Also, it is not easy to find any environment-related contents in the 7th mathematics curriculum. However, because mathematics is also precious human products and essence, in any ways there is a need to reflect the social issues in the mathematics subject which speak for human mental activities. If this need is admitted to change the mathematics contents to the direction of social issues, environmental problems can stand out and be dealt in the mathematics education. Among the 6 domains in the 7th mathematics curriculum, the environmental problems can be dealt with in the domains of ‘numbers and operation’, ‘letters and formulas’, ‘regularity and function’, ‘chances and statistics’, ‘measurement’ except in the domain of ‘diagrams’. Also, the '문장제들' which takes up a considerable part of mathematics textbooks needs the authentic situation, and thus it will be possible to take environmental situations as mathematical materials. Furthermore, one of the 7th mathematics curriculum is that it suggested further study in each level of each domain, the representative pattern of which is the application of the mathemantics contents to the daily life. With this kind of mathematics further study contents, environmental problems can provide a variety of contents for the further study. From this viewpoint, it can be expected that the contents of environmental education will be increased in the mathematics subject. Under the recognition that the mathematics subject cannot be an exception in considering environmental problems, this study has studied some concrete plans and examples for how the mathematics textbooks based on the 7th educational curriculum can deal with environmental Problems.

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Lamb파의 시간-반전과정 및 이미지기법을 이용한 손상탐지 (Structural Damage Detection by Using the Time-Reversal Process of Lamb Waves and the Imaging Method)

  • 전용주;이우식
    • 한국철도학회논문집
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    • 제14권4호
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    • pp.320-326
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    • 2011
  • 본 연구에서는 Lamb파에 대한 시간-반전과정과 이미지기법을 기반으로 하여 기준 데이터를 사용하지 않는 구조물 건전성 모니터링(SHM) 기술을 제안하였다. 제안된 기술이 갖는 주요 세가지 특징은 다음과 같다: (1) 제안된 기술에서는 귀환신호를 직접 손상진단에 사용하기 때문에 귀환신호와 초기 입력신호의 차이로부터 손상신호를 구할 필요가 없다; (2) 기존의 기술에서 널리 사용되는 형상비교법을 사용하지 않고 귀환신호에서 얻는 비시간 정보를 활용하는 이미지기법을 사용하였다; (3) 손상 이미지를 보다 뚜렷하게 얻기 위하여 이미지에 대한 개선된 수학적 정의를 사용하였다. 본 연구에서 제안한 SHM기술은 손상을 평판의 몇몇 위치에 부가한 경우에 대한 손상탐지 실험을 수행함으로써 검증하였다.

Development of a Path Generation and Tracking Algorithm for a Korean Auto-guidance Tillage Tractor

  • Han, Xiong-Zhe;Kim, Hak-Jin;Moon, Hee-Chang;Woo, Hoon-Je;Kim, Jung-Hun;Kim, Young-Joo
    • Journal of Biosystems Engineering
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    • 제38권1호
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    • pp.1-8
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    • 2013
  • Purpose: Path planning and tracking algorithms applicable to various agricultural operations, such as tillage, planting, and spraying, are needed to generate steering angles for auto-guidance tractors to track a point ahead on the path. An optimal coverage path algorithm can enable a vehicle to effectively travel across a field by following a sequence of parallel paths with fixed spacing. This study proposes a path generation and tracking algorithm for an auto-guided Korean tractor with a tillage implement that generates a path with C-type turns and follows the generated path in a paddy field. A mathematical model was developed to generate a waypoint path for a tractor in a field. This waypoint path generation model was based on minimum tractor turning radius, waypoint intervals and LBOs (Limit of Boundary Offsets). At each location, the steering angle was calculated by comparing the waypoint angle and heading angle of the tractor. A path following program was developed with Labview-CVI to automatically read the waypoints and generate steering angles for the tractor to proceed to the next waypoint. A feasibility test of the developed program for real-time path tracking was performed with a mobile platform traveling on flat ground. The test results showed that the developed algorithm generated the desired path and steering angles with acceptable accuracy.

이미지 분석기법을 이용한 콘크리트 구조물의 균열 검출 시스템 개발 (Development of Automatic Crack Detection System for Concrete Structure Using Image Processing Method)

  • 이호범;김종우;장일영
    • 한국구조물진단유지관리공학회 논문집
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    • 제16권1호
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    • pp.64-77
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    • 2012
  • 본 연구에서는 디지털 이미지 분석기술을 이용하여 콘크리트 구조물의 대표적인 열화인자인 콘크리트의 균열을 검지할 수 있는 기술을 개발하기 위해 형태수리학에 근거한 모폴로지 기법이 도입된 이미지 분석기법을 적용한 균열검출 시스템을 개발하였다. 개발된 시스템에는 분석결과의 효율적인 관리를 고려하여 촬영된 다수의 이미지를 하나의 전체 이미지로 재구성하는 이미지 조합기술이 추가로 적용되었다. 그리고 개발된 시스템의 적용성 및 신뢰도 검증은 균열이 발생된 콘크리트 암거를 이용한 현장검증 실험을 통해 이루어졌으며, 실험에 사용된 촬영장비로는 40m까지 0.2mm의 균열을 검지할 수 있는 성능을 확인하였다. 이미지 분석을 통해 산정된 균열폭의 경우 실측 균열폭과의 차이가 최대 0.08mm로 나타나 일정 수준 이상의 정확도를 구명하였고, 이미지 조합의 경우 추상 패턴 이미지 면에 대한 분할 촬영 이미지를 조합한 결과 실제 전체촬영 원본 이미지와 육안으로 차이를 확인할 수 없을 정도로 우수한 조합결과를 도출하였다.

사행수로에서의 유속 및 분산특성에 관한 실험적 연구 (An Experimental Study of Flow and Dispersion Characteristics in Meandering Channel)

  • 박성원;서일원
    • 한국방재학회:학술대회논문집
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    • 한국방재학회 2008년도 정기총회 및 학술발표대회
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    • pp.799-802
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    • 2008
  • General behaviors based on hydraulic characteristics of natural streams and channels have been recently analyzed and developed via various numerical models. However in the states of natural hydraulics, an experimental research must be performed simultaneously with the mathematical analysis due to effects of hydraulic properties such as meander, sediment, and so on. In this study based on 2-D advection-dispersion equation, flow and tracer experiments were performed in the S-curved meandering laboratory channel with a rectangular cross-section. The channel was equipped with instrument carriages which was equipped with an auto-traversing system to be used with velocity measuring sensors throughout the depth and breadth of the flow field. To measure concentration distribution of the salt solution was adjusted to that of the flume water by adding methanol and a red dye (KMnO4) was added to aid the visualization of the tracer cloud, the tracer was instantaneously injected into the flow as a full-depth vertical line source by the instantaneous injector and the initial concentration of the tracer was 100,000 mg/l. The secondary current as well as the primary flow pattern was analyzed to investigate the flow distribution in the meandering channels. The velocity distribution of the primary flow for all cases skewed toward the inner bank at the first bend, and was almost symmetric at the crossovers, and then shifted toward the inner bank again at the next alternating bend. Thus, one can clearly notice that the maximum velocity occurs taking the shortest course along the channel, irrespective of the flow conditions. The result of the tracer tests shows that pollutant clouds are spreading following the maximum velocity lines in each cases with various mixing patterns like superposition, separation, and stagnation of pollutant clouds. Flow characteristics in each cases performed in this study can be compared with tracer dispersion characteristics with using evaluation of longitudinal and transverse dispersion coefficients(LDC, TDC). As expected, LDC and TDC in meandering parts have been evaluated with increasing distribution and straight parts have effected to evaluate minimum of LDC and TDC due to symmetric flow patterns and attenuations of secondary flow.

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