• Title/Summary/Keyword: First order system

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Stochastic bending characteristics of finite element modeled Nano-composite plates

  • Chavan, Shivaji G.;Lal, Achchhe
    • Steel and Composite Structures
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    • v.26 no.1
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    • pp.1-15
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    • 2018
  • This study reported, the effect of random variation in system properties on bending response of single wall carbon nanotube reinforced composite (SWCNTRC) plates subjected to transverse uniform loading is examined. System parameters such as the SWCNT armchair, material properties, plate thickness and volume fraction of SWCNT are modelled as basic random variables. The basic formulation is based on higher order shear deformation theory to model the system behaviour of the SWCNTRC composite plate. A C0 finite element method in conjunction with the first order perturbation technique procedure developed earlier by the authors for the plate subjected to lateral loading is employed to obtain the mean and variance of the transverse deflection of the plate. The performance of the stochastic SWCNTRC composite model is demonstrated through a comparison of mean transverse central deflection with those results available in the literature and standard deviation of the deflection with an independent First Order perturbation Technique (FOPT), Second Order perturbation Technique (SOPT) and Monte Carlo simulation.

Development of Mantle Leaves in Platycerium bifurcatum (Plypodiaceae) II. Vascular System (Platycerium bifurcatum(Polypodiaceae) 잎의 발생 II. 유관속계)

  • 이영현
    • Journal of Plant Biology
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    • v.33 no.1
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    • pp.31-40
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    • 1990
  • Procambium developed in the histogenetical zone below the marginal meristem. The development of procambium is correlated with the developmental stage of the leaf. As long as the marginal cells are crescent-shaped, the first-order procambium develops. When the marginal cell becomes wedge-shaped, the higher order procambium appears. The reticulated venation is developed through forking and anastomosis. The meshes of the first order enlarge in the process of leaf growth and the meshes of the second and third order develop in the meshes of the first-order through the differentiation of the residual meristem. Therefore, the venation is hierachically arranged and is as recognizable from the thickening of the veins. The outermost vein is produced parallel to the leaf margin, in which the differences between the costal and intercostal parts of the marginal meristem are removed. The endodermis and pericycle differentiate from the same mother cell. The procambium and sclerenchyma originate from a common source during the first developmental stage. A small cellular cluster lies within the parenchyma at the upper and lower sides of the procambial trace and differentiates into sclerenchyma.

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Analysis of Multi-branch Inventory Distribution System for an Item with Low Level of Demand and Lost Sale Allowed (다지점으로 구성된 재고시스템의 최적화 분석 : 저수요, 유실판매 모형)

  • 윤승철;최영섭
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.25 no.3
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    • pp.78-84
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    • 2002
  • This research is basically deals with an inventory distribution system with several regional sides branches. Under the continuous review policy, each sales branch places an order to its supplier whenever on hand plus on order inventory falls on the order point, and the order quantity is received after elapsing a certain lead time. This research first shows the method how to apply the product with low lever of demand into the continuous review policy. For the application, we use an order level as the maximum level of inventory during an order cycle. Also we analyze the lost sales case as a customer behavior. Further we use variable demands and variable lead times for more realistic situation. Based on the above circumstances, the research mainly discusses those methods to decide the optimal order level, order point, and order quantity for each sales branch which guarantees the system wide goal level of service, while keeping the minimum level of the system wide total inventory.

Comparative Studies on the Simulation for the Monthly Runoff (월유출량의 모의발생에 관한 비교 연구)

  • 박명근;서승덕;이순혁;맹승진
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.38 no.4
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    • pp.110-124
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    • 1996
  • This study was conducted to simulate long seres of synthetic monthly flows by multi-season first order Markov model with selection of best fitting frequency distribution, harmonic synthetic and harmonic regression models and to make a comparison of statistical parameters between observes and synthetic flows of five watersheds in Geum river system. The results obtained through this study can be summarized as follow. 1. Both gamma and two parameter lognormal distributions were found to be suitable ones for monthly flows in all watersheds by Kolmogorov-Smirnov test. 2. It was found that arithmetic mean values of synthetic monthly flows simulated by multi-season first order Markov model with gamma distribution are much closer to the results of the observed data in comparison with those of the other models in the applied watersheds. 3. The coefficients of variation, index of fluctuation for monthly flows simulated by multi-season first order Markov model with gamma distribution are appeared closer to those of the observed data in comparison with those of the other models in Geum river system. 4. Synthetic monthly flows were simulated over 100 years by multi-season first order Markov model with gamma distribution which is acknowledged as a suitable simulation modal in this study.

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UNCONDITIONALLY STABLE GAUGE-UZAWA FINITE ELEMENT METHODS FOR THE DARCY-BRINKMAN EQUATIONS DRIVEN BY TEMPERATURE AND SALT CONCENTRATION

  • Yangwei Liao;Demin Liu
    • Bulletin of the Korean Mathematical Society
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    • v.61 no.1
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    • pp.93-115
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    • 2024
  • In this paper, the Gauge-Uzawa methods for the Darcy-Brinkman equations driven by temperature and salt concentration (DBTC) are proposed. The first order backward difference formula is adopted to approximate the time derivative term, and the linear term is treated implicitly, the nonlinear terms are treated semi-implicit. In each time step, the coupling elliptic problems of velocity, temperature and salt concentration are solved, and then the pressure is solved. The unconditional stability and error estimations of the first order semi-discrete scheme are derived, at the same time, the unconditional stability of the first order fully discrete scheme is obtained. Some numerical experiments verify the theoretical prediction and show the effectiveness of the proposed methods.

Theoretical Investigation of First-order and Second-order Polarization-mode Dispersion Tolerance on Various Modulation Formats in 40 Gb/s Transmission Systems with FEC Coding

  • Jang, Ho-Deok;Kim, Kyoung-Soo;Lee, Jae-Hoon;Jeong, Ji-Chai
    • Journal of the Optical Society of Korea
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    • v.13 no.2
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    • pp.227-233
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    • 2009
  • We investigated the polarization-mode dispersion (PMD) tolerance for 40Gb/s non-return to zero (NRZ), duobinary NRZ, return to zero (RZ), carrier-suppressed RZ (CS-RZ), and duobinary-carrier-suppressed RZ (DCS-RZ) modulation formats with a forward error correction (FEC) coding. The power penalty has been calculated as a measure of the system performance due to PMD. After comparison of the PMD tolerance of various modulation formats, our results suggest that RZ signals have the best tolerance against the effect of first-order PMD only. The duobinary NRZ modulation format is most resilient to PMD when both first- and second-order PMD are considered. However, the duobinary NRZ modulation format is the most sensitive to the incident angle of the input signal to a fiber axis in the presence of first- and second-order PMD, leading to incident angle-dependent power penalty. The coding gain by FEC can cope with the power penalties induced by first- and second-order PMD up to a DGD value of 16ps.

Zoom lens design for compact digital camera using lens modules (렌즈모듈을 이용한 컴팩트 디지털 카메라용 줌 렌즈 설계)

  • Park, Sung-Chan;Lee, Sang-Hun
    • Korean Journal of Optics and Photonics
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    • v.16 no.1
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    • pp.34-42
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    • 2005
  • This paper presents the optimum initial design containing the first and third order properties of the three-group zoom system using lens modules, and the real lens design of the system. The optimum initial design with focal length range of 4.3 mm to 8.6 mm is derived by assigning appropriate first and third order quantities to each module along with the specific constraints required for the system. An initial real lens selected for each group has been designed to match its focal length and the first orders into those of the each lens modules, and then combined to establish an actual zoom system by adjusting the air space between the groups at all zoom positions. The combination of the separately designed groups results in a system which satisfies the first order properties of the zoom system composed of the original lens modules. As a result, by residual aberration correction, we could obtain a zoom system useful in compact digital zoom cameras and mobile phone cameras employing the rear focus method.

ANALYSIS AND COMPUTATIONS OF LEAST-SQUARES METHOD FOR OPTIMAL CONTROL PROBLEMS FOR THE STOKES EQUATIONS

  • Choi, Young-Mi;Kim, Sang-Dong;Lee, Hyung-Chun
    • Journal of the Korean Mathematical Society
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    • v.46 no.5
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    • pp.1007-1025
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    • 2009
  • First-order least-squares method of a distributed optimal control problem for the incompressible Stokes equations is considered. An optimality system for the optimal solution are reformulated to the equivalent first-order system by introducing the vorticity and then the least-squares functional corresponding to the system is defined in terms of the sum of the squared $H^{-1}$ and $L^2$ norms of the residual equations of the system. Finite element approximations are studied and optimal error estimates are obtained. Resulting linear system of the optimality system is symmetric and positive definite. The V-cycle multigrid method is applied to the system to test computational efficiency.

Dynamic Analysis of MLS Difference Method using First Order Differential Approximation (1차 미분 근사를 이용한 MLS차분법의 동적해석)

  • Kim, Kyeong-Hwan;Yoon, Young-Cheol;Lee, Sang-Ho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.31 no.6
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    • pp.331-337
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    • 2018
  • This paper presents dynamic algorithm of the MLS(moving least squares) difference method using first order differential Approximation. The governing equations are only discretized by the first order MLS derivative approximation. The system equation consists of an assembly of the approximate function, so the shape of system equation is similar to FEM(finite element method). The CDM(central difference method) is used for time integration of dynamic equilibrium equation. The natural frequency analyses of the MLS difference method and FEM are performed, and two analysis results are compared. Also, the accuracy of the proposed numerical method is verified by displaying the dynamic analysis results together with the results by the existing second order differential approximation. In the process of assembling the first order MLS derivative approximation, the oscillation error was suppressed and the stress distribution was interpreted as relatively uniform.

A Study on the Production Adjustment and Price Support Program of Sea Mustard Aquaculture (미역양식업의 생산조정과 가격지지)

  • 강종호;진상대
    • The Journal of Fisheries Business Administration
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    • v.32 no.2
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    • pp.73-89
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    • 2001
  • The market conditions of sea mustard is changing by overproduction, decreasing price, Import of blanched and salted sea mustard from China into Korea domestic market and increasing market share of sea mustard of China in Japan. In addition, the price support program in sea mustard aquaculture must be modified due to the restriction of domestic support by international organization such as WTO. There are two ways to solve those problems. First is that finding a way to solve the overproduction of sea mustard. One of possible ways is the production adjustment by Marketing Order. Second is that finding an alternative way to replace price support program. The possible way is Direct Payment instead of purchase stockpile system. To introduce marketing Order, outlook center, organization of self-management, production adjustment through output control measure, improvement of market structure, and education/publicity arc necessary. Also, to implement marketing order, setting a model business by government is required. There are two steps for implementation of marketing order. First step is to construct Order Committee including organization of producer, people related marketing. However, this committee must run by government for certain short-term. Second step is to improve quality of product and acceleration of demand. At visual point that enforcement of the first step is completed, government has process that government transfers Order Committees self-correcting. It is desirable that government only conduct the support acts such as quality improvement and acceleration of demand. Also, at early stage it is necessary to have aid system for marketing order For example, we can expect that income increase by production adjustment in long run. However, in short run the income of producer may decrease so, it is required to compensate his economic lose. For compensation, The useful means that can be utilized is direct payment. Direct payment is not continued policy. Also, when production adjustment policy such as Marketing Order has effective results, Direct Payment as an assistant measure must be reduced or abolished. Therefore, when production adjustment acts as an effective tool to control overproduction, Direct Payment system.

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