• Title/Summary/Keyword: 최적차수

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On the Improvement of the Accuracy of Higher Order Derivatives in the MLS(Moving Least Square) Difference Method via Mixed Formulation (MLS 차분법의 결정 변수에 따른 정확도 분석 및 혼합변분이론을 통한 미분근사 성능향상)

  • Kim, Hyun-Young;Kim, Jun-Sik
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.33 no.5
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    • pp.279-286
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    • 2020
  • In this study, we investigate the accuracy of higher order derivatives in the moving least square (MLS) difference method. An interpolation function is constructed by employing a Taylor series expansion via MLS approximation. The function is then applied to the mixed variational theorem in which the displacement and stress resultants are treated as independent variables. The higher order derivatives are evaluated by solving simply supported beams and cantilevers. The results are compared with the analytical solutions in terms of the order of polynomials, support size of the weighting function, and number of nodes. The accuracy of the higher order derivatives improves with the employment of the mean value theorem, especially for very high-order derivatives (e.g., above fourth-order derivatives), which are important in a classical asymptotic analysis.

A Comparative Study on the Efficient Reordering Methods of Sparse Matrix Problem for Large-scale Surveying Network Adjustment (대규모 측지망 조정을 위한 희소 행렬의 효율적인 재배열 방법에 대한 비교 연구)

  • Woo, Sun-Kyu;Yun, Kong-Hyun;Heo, Joon
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.26 no.1
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    • pp.85-91
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    • 2008
  • When a large sparse matrix is calculated for a horizontal geodetic network adjustment, it needs to go through the process of matrix reordering for the efficiency of time and space. In this study, several reordering methods for sparse matrix were tested, using Sparse Matrix Manipulation System(SMMS) program, total processing time and Fill-in number produced in factorization process were measured and compared. As a result, Minimum Degree(MD) and Mutiple Minimum Degree(MMD), which are based on Minimum Degree are better than Gibbs-Poole-Stockmeyer(GPS) and Reverse Cuthill-Mckee(RCM), which are based on Minimum Bandwidth. However, the method of the best efficiency can be changed dependent on distribution of non-zero elements in a matrix. This finding could be applied to heighten the efficiency of time and storage space for national datum readjustment and other large geodetic network adjustment.

Coastal seawater intrusion mitigation research by negative and positive hydraulic barriers (해수양수공법과 담수주입공법의 해안지역 지하수 해수침투 저감 효과)

  • Jung, Eun Tae;Park, Nam Sik
    • Proceedings of the Korea Water Resources Association Conference
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    • 2015.05a
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    • pp.83-83
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    • 2015
  • 최근 수자원 이용량의 증가 및 수자원 공급의 부족에 따라 대안으로 제시되고 있는 지하수 이용은 매년 크게 증가하고 있다. 내륙 지역의 지하수 개발 시와 비교할 때 해안 지역의 지하수 개발에는 해수침투 현상에 대하여 추가적 고려가 필요하다. 알려진 바와 같이 해안 지역의 과잉 양수와 해수면 상승 으로 해수침투가 더욱 깊이 침투하고 있는 실정이다. 이에 대해 정략적인 해수 침투길이 산정과 더불어 해수침투를 허용가능한 범위 내로 제한 시키는 지하수 개발이 필요하다. 해수침투 저감 공법에는 저투수차수벽 설치, 담수주입공법, 해수양수공법으로 크게 3가지로 구분할 수 있다. 저투수차수벽의 해수침투 저감 효율은 크지만 비용이 비싸다는 단점으로 본 연구에서 제외시켰다. 담수주입공법은 대수층에 담수를 주입하여 해수침투를 저감시키는 공법으로 인근에 양질의 수원을 필요로 하는 단점이 있다. 해수양수는 해안가에 양수정을 설치하여 해수침투를 저감시키지만 양수정에서의 담수가 혼합되어 담수낭비가 생기는 단점이 있다. 본 연구에서는 해안지하수의 해수침투를 저감시키기 위한 방법중 담수주입과 해수양수공법의 효율을 검증하고 각각 공법의 장단점을 비교하였다. 지하수 경계면 모델을 이용하여 각각의 수리수문 변수들이 미치는 영향과 해수침투 정도를 사례별로 연구하였다. 담수주입공법의 경우 담수주입량 많을수록 해수침투가 저감되는 경향이 있지만 최적의 담수주입량을 찾는데 목적이 있다. 해수양수공법에는 해수양수량이 증가하고 해수양수정의 위치가 해안선에 접할수록 해수침투 저감 효과가 있었다. 담수주입공법과 해수양수공법을 해수침투 저감을 위해 해안가에 적용할 경우 해당 지역의 특성을 면밀히 분석하여 적용해야 효과를 볼 수 있다.

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A Study on the Vulcanization Characteristics of SBR/BR Blends Containing Reinforcing Fillers (보강성 충전제가 첨가된 SBR/BR 블렌드의 가황특성에 관한 연구)

  • Lee, Seag
    • Elastomers and Composites
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    • v.33 no.4
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    • pp.274-280
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    • 1998
  • Order of reaction, rate constant, activation energy for vulcanization reaction, crosslinking density, and elastic constant of the network produced by sulfur curing were investigated on the SBR/BR blends containing silica and carbon black under same cure system. The reaction order was shown to be first order regardless of filler types. The carbon black filled rubber compounds showed higher rate constant compared to silica filled compounds. But activation energy appeared to be same regardless of filler type and rubber blend ratio. The crosslinking density and elastic constant is higher in the carbon black filled compound compared to silica filled compounds because of strong interaction between rubber and carbon black. On the other hand, crosslinking density and elastic constant were decreased with increasing the butadine rubber content in rubber blends. From the comparison of combined sulfur content in the vulcanized rubber, sulfur content in the silica filled compound become constant 20min later after reaction initiates but sulfur content in the carbon black filled compound become constant 10min later after reaction starts. The silica compound has a longer induction time ($t_2$) and optimum cure time($t_{90}$) compared to those of the carbon black filled compound.

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Evolutionary Algorithm for solving Optimum Communication Spanning Tree Problem (최적 통신 걸침 나무 문제를 해결하기 위한 진화 알고리즘)

  • Soak Sang-Moon;Chang Seok-Cheol;Byun Sung-Cheal;Ahn Byung-Ha
    • Journal of KIISE:Software and Applications
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    • v.32 no.4
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    • pp.268-276
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    • 2005
  • This paper deals with optimum communication spanning tree(OCST) problem. Generally, OCST problem is known as NP-hard problem and recently, it is reveled as MAX SNP hard by Papadimitriou and Yannakakis. Nevertheless, many researchers have used polynomial approximation algorithm for solving this problem. This paper uses evolutionary algorithm. Especially, when an evolutionary algorithm is applied to tree network problem such as the OCST problem, representation and genetic operator should be considered simultaneously because they affect greatly the performance of algorithm. So, we introduce a new representation method to improve the weakness of previous representation which is proposed for solving the degree constrained minimum spanning tree problem. And we also propose a new decoding method to generate a reliable tree using the proposed representation. And then, for finding a suitable genetic operator which works well on the proposed representation, we tested three kinds of genetic operators using the information of network or the genetic information of parents. Consequently, we could confirm that the proposed method gives better results than the previous methods.

Macromodels for Efficient Analysis of VLSI Interconnects (VLSI 회로연결선의 효율적 해석을 위한 거시 모형)

  • 배종흠;김석윤
    • Journal of the Korean Institute of Telematics and Electronics C
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    • v.36C no.5
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    • pp.13-26
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    • 1999
  • This paper presents a metric that can guide to optimal circuit models for interconnects among various models, given interconnect parameters and operating environment. To get this goal, we categorize interconnects into RC~c1ass and RLC-c1ass model domains based on the quantitative modeling error analysis using total resistance, inductance and capacitance of interconnects as well as operating frequency. RC~c1ass circuit models, which include most on~chip interconnects, can be efficiently analyzed by using the model~order reduction techniques. RLC-c1ass circuit models are constructed using one of three candidates, ILC(Iterative Ladder Circuit) macromodels, MC(Method of Characteristics) macromodels, and state-based convolution method, the selection process of which is based upon the allowable modeling error and electrical parameters of interconnects. We propose the model domain diagram leading to optimal circuit models and the division of model domains has been achieved considering the simulation cost of macromodels under the environmental assumption of the general purpose circuit simulator such as SPICE. The macromodeling method presented in this paper keeps the passivity of the original interconnects and accordingly guarantees the unconditional stability of circuit models.

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Optimal Design of Linear Quadratic Regulator Restrict Maximum Responses of Building Structures Subject to Stochastic Excitation (확률적 가진입력을 받는 건축구조물의 최대응답 제한을 위한 선형이차안정기의 최적설계)

  • 박지훈;황재승;민경원
    • Journal of the Earthquake Engineering Society of Korea
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    • v.5 no.6
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    • pp.37-46
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    • 2001
  • In this research, a controller design method based on optimization is proposed that can satisfy constraints on maximum responses of building structures subject to around excitation modeled by partially stochastic process. The class of controllers to be optimized is restricted to LQR. Weighting matrix on controlled outputs is used as design variable. Objective function, constraint functions and their gradients are computed by the parameterization of control gain with Riccati matrix. Full state feedback controllers designed by proposed optimization method satisfy various design objectives and their necessary maximum control forces are computed for the production of actuator. LQG controllers composed of Kalman filter and LQR designed by proposed method perform well with little deterioration. So it is possible to design output feedback controllers satisfying constraints on various maximum responses of structures.

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The Optimal Normal Elements for Massey-Omura Multiplier (Massey-Omura 승산기를 위한 최적 정규원소)

  • 김창규
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.14 no.3
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    • pp.41-48
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    • 2004
  • Finite field multiplication and division are important arithmetic operation in error-correcting codes and cryptosystems. The elements of the finite field GF($2^m$) are represented by bases with a primitive polynomial of degree m over GF(2). We can be easily realized for multiplication or computing multiplicative inverse in GF($2^m$) based on a normal basis representation. The number of product terms of logic function determines a complexity of the Messay-Omura multiplier. A normal basis exists for every finite field. It is not easy to find the optimal normal element for a given primitive polynomial. In this paper, the generating method of normal basis is investigated. The normal bases whose product terms are less than other bases for multiplication in GF($2^m$) are found. For each primitive polynomial, a list of normal elements and number of product terms are presented.

Immobilization and Recycling of Arsenic-Contaminated Fine Soil Cake Produced after Soil Washing Process (토양세척 후 발생하는 비소오염 탈수미세토의 불용화 및 재활용 평가)

  • Oh, Minah;Moon, SoYoung;Hyun, Min;Chae, HeeHoon;Lee, Jai-Young
    • Journal of the Korean Geosynthetics Society
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    • v.11 no.4
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    • pp.9-16
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    • 2012
  • Standardized remediation process for the soil contaminated with arsenic is insufficient due to characteristics of its anion-mobility and speciation changed by Eh-pH of soil. One of the well-known efficient remediation processes is the modified soil washing that particle separation process by only water. However, it is required that the treatment plan for the fine soil what was discharged after modified soil washing. Therefore, this research suggests the treatment plan that the recycling method using arsenic immobilization by FeS-$H_2O_2$. The batch experiments results for the arsenic immobilization showed that the water content was at least 50%, the injection of FeS and $H_2O_2$ (assay-35%) were 8% (w/watdrybase) and 0.2 mL/10 g of fine soil respectively. Arsenic concentration with KSLT was decreased about 95.4%. The results indicated that the mixing of FeS-$H_2O_2$ was highly efficient on the immobilization of As-contaminated soil. The mixing ratio as 13% of bentonite with 3% of cement (at based on 100% of immobilized fine soil) was satisfied with standard of liner for landfill construction.

A study on the optimal reinforcement area for excavation of a small cross-section shield TBM tunnel in fault fracture zone through parameter analysis (매개변수 분석을 통한 단층파쇄대의 소단면 쉴드 TBM 터널 굴착 시 최적 보강영역 연구)

  • Kang, Byung-Yun;Park, Hyung Keun;Cha, Jae-Hoon;Kim, Young-Jin
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.22 no.3
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    • pp.261-275
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    • 2020
  • When excavating a small cross-section tunnel in a fault fracture zone using the shield TBM method, there is a high possibility of excessive convergence and collapse. Appropriate ground reinforcement is required to minimize construction cost loss and trouble due to a fault fracture zone. In this study, the optimal reinforcement area was suggested and the surrounding ground behavior was investigated through numerical analysis using MIDAS GTS NX (Ver. 280). For the parameters, the width of the fault fracture zone, the existence of fault gouge, and the groundwater level and depth of cover were applied. As a result, when there is not fault gouge, the convergence and ground settlement are satisfied the standard when applying ground reinforcement by up to 0.5D. And, due to the high permeability coefficient, it is judged that it is necessary to apply 0.5D reinforcement. There is a fault gouge, it was possible to secure stability when applying ground reinforcement between the entire fault fracture zone from the top of the tunnel to 0.5D. And, because the groundwater discharge occurred within the standard value due to the fault gouge, reinforcement was unnecessary.