• 제목/요약/키워드: non-linear temperature distribution

검색결과 69건 처리시간 0.031초

Buckling analysis of functionally graded truncated conical shells under external displacement-dependent pressure

  • Khayat, Majid;Poorveis, Davood;Moradi, Shapour
    • Steel and Composite Structures
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    • 제23권1호
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    • pp.1-16
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    • 2017
  • This paper is presented to solve the buckling problem of functionally graded truncated conical shells subjected to displacement-dependent pressure which remains normal to the shell middle surface throughout the deformation process by the semi-analytical finite strip method. Material properties are assumed to be temperature dependent, and varied continuously in the thickness direction according to a simple power law distribution in terms of the volume fraction of a ceramic and metal. The governing equations are derived based on first-order shear deformation theory which accounts for through thickness shear flexibility with Sanders-type of kinematic nonlinearity. The element linear and geometric stiffness matrices are obtained using virtual work expression for functionally graded materials. The load stiffness also called pressure stiffness matrix which accounts for variation of load direction is derived for each strip and after assembling, global load stiffness matrix of the shell which may be un-symmetric is formed. The un-symmetric parts which are due to load non-uniformity and unconstrained boundaries have been separated. A detailed parametric study is carried out to quantify the effects of power-law index of functional graded material and shell geometry variations on the difference between follower and non-follower lateral buckling pressures. The results indicate that considering pressure stiffness which arises from follower action of pressure causes considerable reduction in estimating buckling pressure.

Thin Layer Drying Model of Sorghum

  • Kim, Hong-Sik;Kim, Oui-Woung;Kim, Hoon;Lee, Hyo-Jai;Han, Jae-Woong
    • Journal of Biosystems Engineering
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    • 제41권4호
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    • pp.357-364
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    • 2016
  • Purpose: This study was performed to define the drying characteristics of sorghum by developing thin layer drying equations and evaluating various grain drying equations. Thin layer drying equations lay the foundation characteristics to establish the thick layer drying equations, which can be adopted to determine the design conditions for an agricultural dryer. Methods: The drying rate of sorghum was measured under three levels of drying temperature ($40^{\circ}C$, $50^{\circ}C$, and $60^{\circ}C$) and relative humidity (30%, 40%, and 50%) to analyze the drying process and investigate the drying conditions. The drying experiment was performed until the weight of sorghum became constant. The experimental constants of four thin layer drying models were determined by developing a non-linear regression model along with the drying experiment results. Result: The half response time (moisture ratio = 0.5) of drying, which is an index of the drying rate, was increased as the drying temperature was high and relative humidity was low. When the drying temperature was $40^{\circ}C$ at a relative humidity (RH) of 50%, the maximum half response time of drying was 2.8 h. Contrastingly, the maximum half response time of drying was 1.2 h when the drying temperature was $60^{\circ}C$ at 30% RH. The coefficient of determination for the Lewis model, simplified diffusion model, Page model, and Thompson model was respectively 0.9976, 0.9977, 0.9340, and 0.9783. The Lewis model and the simplified diffusion model satisfied the drying conditions by showing the average coefficient of determination of the experimental constants and predicted values of the model as 0.9976 and Root Mean Square Error (RMSE) of 0.0236. Conclusion: The simplified diffusion model was the most suitable for every drying condition of drying temperature and relative humidity, and the model for the thin layer drying is expected to be useful to develop the thick layer drying model.

Correlation of Sintering Parameters with Density and Hardness of Nano-sized Titanium Nitride reinforced Titanium Alloys using Neural Networks

  • Maurya, A.K.;Narayana, P.L;Kim, Hong In;Reddy, N.S.
    • 한국분말재료학회지
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    • 제27권5호
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    • pp.365-372
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    • 2020
  • Predicting the quality of materials after they are subjected to plasma sintering is a challenging task because of the non-linear relationships between the process variables and mechanical properties. Furthermore, the variables governing the sintering process affect the microstructure and the mechanical properties of the final product. Therefore, an artificial neural network modeling was carried out to correlate the parameters of the spark plasma sintering process with the densification and hardness values of Ti-6Al-4V alloys dispersed with nano-sized TiN particles. The relative density (%), effective density (g/㎤), and hardness (HV) were estimated as functions of sintering temperature (℃), time (min), and composition (change in % TiN). A total of 20 datasets were collected from the open literature to develop the model. The high-level accuracy in model predictions (>80%) discloses the complex relationships among the sintering process variables, product quality, and mechanical performance. Further, the effect of sintering temperature, time, and TiN percentage on the density and hardness values were quantitatively estimated with the help of the developed model.

Thermal buckling analysis of FG plates resting on elastic foundation based on an efficient and simple trigonometric shear deformation theory

  • Tebboune, Wafa;Benrahou, Kouider Halim;Houari, Mohammed Sid Ahmed;Tounsi, Abdelouahed
    • Steel and Composite Structures
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    • 제18권2호
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    • pp.443-465
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    • 2015
  • In this paper, an efficient and simple trigonometric shear deformation theory is presented for thermal buckling analysis of functionally graded plates. It is assumed that the plate is in contact with elastic foundation during deformation. The theory accounts for sinusoidal distribution of transverse shear stress, and satisfies the free transverse shear stress conditions on the top and bottom surfaces of the plate without using shear correction factor. Unlike the conventional trigonometric shear deformation theory, the proposed sinusoidal shear deformation theory contains only four unknowns. It is assumed that the mechanical and thermal non-homogeneous properties of functionally graded plate vary smoothly by distribution of power law across the plate thickness. Using the non-linear strain-displacement relations, the equilibrium and stability equations of plates made of functionally graded materials are derived. The boundary conditions for the plate are assumed to be simply supported on all edges. The elastic foundation is modelled by two-parameters Pasternak model, which is obtained by adding a shear layer to the Winkler model. The effects of thermal loading types and variations of power of functionally graded material, aspect ratio, and thickness ratio on the critical buckling temperature of functionally graded plates are investigated and discussed.

Research of Non-integeral Spatial Interpolation for Precise Identifying Soybean Location under Plastic Mulching

  • Cho, Yongjin;Yun, Yeji;Lee, Kyou-seung;Oh, Jong-woo;Lee, DongHoon
    • 한국농업기계학회:학술대회논문집
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    • 한국농업기계학회 2017년도 춘계공동학술대회
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    • pp.156-156
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    • 2017
  • Most crop damages have been occurred by vermin(e.g., wild birds and herbivores) during the period between seeding and the cotyledon level. In this study, to minimize the damage by vermin and acquire the benefits such as protection against weeds and maintenance of water content in soil, immediately vinyl mulching after seeding was devised. Vinyl mulching has been generally covered with black color vinyl, that crop seeding locations cannot be detected by visible light range. Before punching vinyl, non-contact and non-destructive methods that can continuously determine the locations are necessary. In this study, a crop position detection method was studied that uses infrared thermal image sensor to determine the cotyledon position under vinyl mulch. The moving system for acquiring image arrays has been developed for continuously detecting crop locations under plastic mulching on the field. A sliding mechanical device was developed to move the sensor, which were arranged in the form of a linear array, perpendicular to the array using a micro-controller integrated with a stepping motor. The experiments were conducted while moving 4.00 cm/s speed of the IR sensor by the rotational speed of the stepping motor based on a digital pulse width modulation signal from the micro-controller. The acquired images were calibrated with the spatial image correlation. The collected data were processed using moving averaging on interpolation to determine the frame where the variance was the smallest in resolution units of 1.02 cm. For this study, the spline method was relatively faster than the other polynomial interpolation methods, because it has a lower maximum order of formulation when using a system such as the tridiagonal linear equation system which provided the capability of real-time processing. The temperature distribution corresponding to the distance between the crops was 10 cm, and the more clearly the leaf pattern of the crop was visually confirmed. The frequency difference was decreased, as the number of overlapped pixels was increased. Also the wave pattern of points where the crops were recognized were reduced.

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북동태평양 KODOS 해역의 유기탄소 및 겉보기산소량 특성 (Characteristics of Organic Carbon and Apparent Oxygen Utilization in the NE Pacific KODOS Area)

  • 손주원;손승규;김경홍;김기현;박용철;김동화;김태하
    • Ocean and Polar Research
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    • 제27권1호
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    • pp.1-13
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    • 2005
  • The samples for organic carbon analysis were collected between $5^{\circ}\;and\;17^{\circ}N$ along $131.5^{\circ}W$ in the northeast Pacific KODOS (Korea Deep Ocean Study) area. The mean concentration of total organic carbon (TOC) in the surface mixed layer $({\sim}50 m)$ was $100.13{\pm}2.05{\mu}M-C$, while the mean concentration of TOC in the lower 500m of the water column was $50.19{\pm}4.23{\mu}M-C$. A strong linear regression between TOC and temperature $(r^2=0.70)$ showed that TOC distribution was controlled by physical process. Results from the linear regression between chlorophyll-a and TOC, and between chlorophyll-a and particulate organic carbon (POC), decreasing of dissolved organic carbon (DOC) in the surface layer caused by non-biological photo-oxidation process. Below the surface layer, biological production and consumption occurred. DOC accumulation dominated in the depth range of $30{\sim}50m$ and DOC consumption occurred in the depth range of $50{\sim}200m$. TOC was inversely correlated with apparent oxygen utilization (AOU) and TOC/AOU molar ratios ranged from -0.077 to -0.21. These ratios indicated that TOC oxidation was responsible fur $10.9{\sim}30.1%$ (mean 20.2%) of oxygen consumption in the NE Pacific KODOS area. In the euphotic zone, distributions of dissolved and particulate organic matter were controlled by photo-chemical, chemical, biological and physical processes.

반복적 Cumulant 모멘트 방법에 의한 Boltzmann 방정식의 해법과 충격파구조에 관한 연구 (Iterative Cumulant Moment Method for solution of Boltzmann Equation and its Application to Shock Wave Structure)

  • 오영기
    • 대한화학회지
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    • 제42권4호
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    • pp.398-410
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    • 1998
  • Boltzmann 방정식의 비선형 해법으로서 cumulant 모멘트 방법을 연구하였으며, Maxwell 분자모형 단원자분자 기체계의 정상충격파 문제에 대하여 적용하였다. 모멘트 방정식의 해는 Maxwell-Ikenberry-Truesdell(MIT) 반복법을 사용하였다. 원래의 MIT 반복법은 초기값을 평형분포함수로부터 구하지만, 본 연구에서는 반복계산의 초기값을 Mott-Smith의 두방식(bimodal)함수로부터 구하였다. 모멘트 계산은 2차 반복단계까지 수행하였으며, 강한 충격파에 대한 밀도, 온도, stress, heat flux 등의 윤곽과 충격파의 두께, 그리고 마하수 1.4 미만의 약한 충격파의 두께를 계산하였다. 1차 반복계산에서 충격파 윤곽에 대한 간단한 형태의 해석적 표현을 얻었으며, 이로부터 도출한 약한 충격파 두께에 대한 극한법칙은 Navier-Stokes 이론과 정확히 일치한다. 2차 반복계산에 의한 결과는 강한 충격파의 윤곽곡선 및 충격파 두께가 Monte Carlo 문헌값과 정량적으로 일치함을 보인다.

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모세관 다이에서 고무 복합체의 점탄성 거동에 대한 컴퓨터 모사 (Computer Simulation of Viscoelastic Flow in a Capillary Die for Rubber Compounds)

  • 박동명;김학주;윤재룡;류민영
    • Elastomers and Composites
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    • 제41권4호
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    • pp.223-230
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    • 2006
  • 고무복합체는 높은 점탄성 성질을 보이는데 압출성형 시 이 점탄성 성질 때문에 압출물이 팽창하게 된다. 그리고 팽윤양은 공정 조건에 따라서 변한다. 점탄성 성질에서 탄성 부분은 압출물의 팽창에 있어서 중요한 역할을 한다. 본 논문은 모세관 다이에서 여러 가지 고무복합체에 따른 다이팽윤을 알아보기 위해 상용 CFD 프로그램인 Polyflow를 사용하여 해석을 수행하였다. 컴퓨터 모사에서는 비선형 미분 점탄성 모델인 Phan-Thien-Tanner(PTT) 모델을 사용하였고 온도를 고러하여 해석하였다. 해석을 통해서 레저버와 모세관 다이에서 압출물의 압력, 속도, 그리고 온도 분포 등을 예측하였다. 여러 가지 고무 복합체의 다이 팽윤양을 알아보기 위해서 유량과 모세관 다이의 지름을 변경하면서 연구하였다. 본 연구를 통해서 PPT 모델은 고무 복합체에 대한 점탄성 거동을 잘 표현하고 있음을 확인할 수 있었다.

극저온 액화가스 화물창 2차방벽 구조 열 응력 취약 부 Prolonged 길이 고려 유리섬유 강화 복합재 기계적 물성 평가 (Evaluation of Mechanical Performance Considering Prolonged Length of Glass Fiber-Reinforced Composite on Structure Weakness by Thermal Stress at Secondary Barrier in Cryogenic Liquified Gas Storage)

  • 정연제;김희태;김정대;김정현;김슬기;이제명
    • Composites Research
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    • 제36권4호
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    • pp.246-252
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    • 2023
  • 멤브레인 형 LNG 화물창시스템(Cargo containment system, CCS) 내 유리섬유 강화 복합재료 기반 2차 방벽 설치 시 본딩 자동화 머신(automatic bonding machine, ABM) 활용한 prolonged 구조임과 동시에 양단 접착 고정 사이 비 접착(non-bonding, N-B) 영역의 복합재에서 극저온 열 수축 기인한 상당한 열 응력이 발생하기 때문에 이를 고려한 구조 안전성평가 관점에서 수행된 연구가 있으나 실제로 무한히 긴 길이 고려한 기계적 물성 평가를 수행한 연구는 찾아볼 수가 없었다. 해당 복합재는 파단강도 분산이 큰 세라믹 재료 취성 파괴임을 고려하여 2-파라미터 Weibull 통계분석을 통해 실제 길이 대상 신뢰도 있는 기계적 물성치 값을 표준화 하였으며 LNG 운반 환경을 고려한 극저온 환경까지의 특정 온도별 단축 인장실험을 수행하였다. 실험결과, -70℃에서 기계적 강도가 -20℃에 비해 약 1.5배 급증하고 초기 권축 섬유 신장의 비선형 거동이 억제되었다. 또한, 극저온 환경까지 온도가 낮아질수록 기계적 강도는 계속해서 증가하였으나 반대로 연신은 줄어드는 저온 취성의 현상이 확인되었다. 본 연구에서 제시하는 기계적 물성치 데이터는 멤브레인 형 LNG 화물창 구조 안전성 평가 시 신뢰도 높은 해석 지원 물성치 확보 측면에서 유용하게 적용되어지리라 사료된다.

유한해석법을 이용한 조합 내열부품의 1차원 삭마 및 숯층 형성 해석 (Numerical Analysis of 1-D Ablation and Charring of a Composite Heat Insulator Using Finite Analytic Method)

  • 함희철;배주찬;이태호;전광민;이진호
    • 대한기계학회논문집
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    • 제16권5호
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    • pp.943-951
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    • 1992
  • 본 연구에서는 삭막에 의한 표면후퇴 현상을 해석하기 위하여 Brogan이 제시 한 front node dropping기법을 적용하여 여러개의 상이한 재료로 구성된 조합 내열 부품에서 삭마와 숯이 동시에 발생하는 경우에 대한 내부 열반응 예측도 가능하게 하 였다. 이 수치기법은 해석하고자 하는 부분에 대한 격자생성(mesh generation)을 수 행하여 각 격자점의 좌표를 고정한 후, 삭마에 의하여 표면이 후퇴될 때 첫번째 격자 점은 두번째 격자점과 일치될 때 까지 존재하다가 제거되고, 두번째 격자점도 세번째 격자점과 일치될 때까지 존재하다가 제거된다. 이때 나머지 격자점의 위치는 항상 일정하게 고정되며 삭마가 정지될 때까지 이 과정이 계속된다. 또한 본 연구분야에 수치해석 기법으로 유한해석법(FAM:finte analytic method)을 국내외 최초로 적용하여 비선형성이 심한 것을 효과적으로 처리하므로써 안정한 해를 얻을 수 있었다. 유한 해석법은 1981년 Chen이 제안한 기법으로, 국소 격자계에 대하여 선형화된 지배 방정 식의 엄밀해를 구하여 전체 문제 영역에 확장하는 방법이다. 이 방법은 수치 계산식 의 유도과정이 매우 복잡하기는 하나, 그 결과가 정확하고 안정한 해를 얻을 수 있어 서 점차 적용 사례가 증가하고 있으며 본 문제의 수치 해석에 매우 적합한 기법으로 판단된다.