• Title/Summary/Keyword: Expansion Method

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An Evaluation of the Second-order Approximation Method for Engineering Optimization (최적설계시 이차근사법의 수치성능 평가에 관한 연구)

  • 박영선;박경진;이완익
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.2
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    • pp.236-247
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    • 1992
  • Optimization has been developed to minimize the cost function while satisfying constraints. Nonlinear Programming method is used as a tool for the optimization. Usually, cost and constraint function calculations are required in the engineering applications, but those calculations are extremely expensive. Especially, the function and sensitivity analyses cause a bottleneck in structural optimization which utilizes the Finite Element Method. Also, when the functions are quite noisy, the informations do not carry out proper role in the optimization process. An algorithm called "Second-order Approximation Method" has been proposed to overcome the difficulties recently. The cost and constraint functions are approximated by the second-order Taylor series expansion on a nominal points in the algorithm. An optimal design problem is defined with the approximated functions and the approximated problem is solved by a nonlinear programming numerical algorithm. The solution is included in a candidate point set which is evaluated for a new nominal point. Since the functions are approximated only by the function values, sensitivity informations are not needed. One-dimensional line search is unnecessary due to the fact that the nonlinear algorithm handles the approximated functions. In this research, the method is analyzed and the performance is evaluated. Several mathematical problems are created and some standard engineering problems are selected for the evaluation. Through numerical results, applicabilities of the algorithm to large scale and complex problems are presented.presented.

A stochastic finite element method for dynamic analysis of bridge structures under moving loads

  • Liu, Xiang;Jiang, Lizhong;Xiang, Ping;Lai, Zhipeng;Zhang, Yuntai;Liu, Lili
    • Structural Engineering and Mechanics
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    • v.82 no.1
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    • pp.31-40
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    • 2022
  • In structural engineering, the material properties of the structures such as elastic modulus, shear modulus, density, and size may not be deterministic and may vary at different locations. The dynamic response analysis of such structures may need to consider these properties as stochastic. This paper introduces a stochastic finite element method (SFEM) approach to analyze moving loads problems. Firstly, Karhunen-Loéve expansion (KLE) is applied for expressing the stochastic field of material properties. Then the mathematical expression of the random field is substituted into the finite element model to formulate the corresponding random matrix. Finally, the statistical moment of the dynamic response is calculated by the point estimation method (PEM). The accuracy and efficiency of the dynamic response obtained from the KLE-PEM are demonstrated by the example of a moving load passing through a simply supported Euler-Bernoulli beam, in which the material properties (including elastic modulus and density) are considered as random fields. The results from the KLE-PEM are compared with those from the Monte Carlo simulation. The results demonstrate that the proposed method of KLE-PEM has high accuracy and efficiency. By using the proposed SFEM, the random vertical deflection of a high-speed railway (HSR) bridge is analyzed by considering the random fields of material properties under the moving load of a train.

A Study on the Application of Analytic Nodal Method to a CANDU-600 Reactor Analysis

  • C.S. Yeom;Ryu, H.;Kim, H.J.;Kim, Y.H.;Kim, Y.B.
    • Proceedings of the Korea Society for Energy Engineering kosee Conference
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    • 2000.11a
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    • pp.115-120
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    • 2000
  • The analysis of flux distribution under stead-state in large power reactors with assymetry reactivity insertions requires the use of three-dimensional diffusion calculations. For the purpose, consistently formulated modern nodal methods based on higher order interface techniques have become popular tools for flux distributions in large commercial nuclear reactors. Among the earlier developments, the nodal Green's function method obtains its nodal interface equation from the transverse-integrated integral diffusion equation using a finite-medium Green's function. In this method, the outgoing current from a node surface is formulated as a response of the incoming currents and the spatially integrated neutron source within the same node. The well-known nodal expansion method is also based on an interface partial current formulation. Nodal methods high-level interface variables, i.e., interface net current and flux, may be more computationally efficient than the nodal Green's function method because they have one fewer unknown per interface. The Analytic Nodal Method(ANM), which can be classified as an interface net current technique and, was faster in solving some standard benchmark problems than the other two methods.(omitted)

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Investigating thermo-mechanical stresses in functionally graded disks using Navier's method for different loading conditions

  • Sanjay Kumar Singh;Lakshman Sondhi;Rakesh Kumar Sahu;Royal Madan;Sanjay Yadav
    • Structural Engineering and Mechanics
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    • v.91 no.6
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    • pp.627-642
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    • 2024
  • In the present work, the deformation and stresses induced in a functionally graded disk have been reported for different loading conditions. The governing differential equation is solved using the classical method namely Navier's method by considering thermal and mechanical boundary conditions at the surface of the disk. To simplify solving the second-order differential equation, a plane stress condition was assumed. Following validation using a one-dimensional steady-state heat condition problem, temperature variations were computed for constant heat generation and varying conductivity. The research aims to investigate both the individual and combined effects of rotation, gravity, and temperature with constant heat generation on a hollow disk operating under complex loading conditions. The results demonstrated a high degree of accuracy when compared with those in existing literature. Material properties, such as Young's modulus, density, conductivity, and thermal expansion coefficient, were modeled using a power law variation along the disk's radius by considering aluminum as a base material. The proposed analytical method is straightforward, providing valuable insights into the behavior of disks under various loading conditions. This method is particularly useful for researchers and industries in selecting appropriate loading conditions and grading parameters for engineering applications, including aerospace components, energy systems, and rotary machinery parts.

A Study on Hybrid Grout Material for Reservoir Embankment reinforcement (저수지 제방 보수보강을 위한 하이브리드형 그라우트재 연구)

  • Park, Sung-Yong;Shim, Houng-Gen;Kang, Hee-Jin;Lim, One-Bin;Sami, Ghazali-Flimban;Kim, Yong-Seong
    • Journal of the Korean Geosynthetics Society
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    • v.16 no.3
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    • pp.21-30
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    • 2017
  • Cement grouting method is generally applied for the purpose of reinforcement of deteriorated reservior. Problems have been raised due to the limit of the injection material. In order to solve these problems, various grout materials have been developed. However, there are many cases in which the grounds are disturbed in actual field. In this study, the physical properties of hybrid grout with high fineness and high viscosity characteristics were analyzed to enable penetration into the ground. Optimum inflation agent was selected and mixed with the grout. The pressure and compaction effect on expansion was examined and its effectiveness was verified. From the result of confirming expansion ratio, uniaxial compressive strength, expansion pressure and compaction effect, the HI-E (2%) sample was analyzed to be excellent in improvement effect by the inflation agent. Hence, hybrid grout can be effectively applied for the impermeable and reinforcement method of deterioration reservoir and tide embankment.

Human Amniotic Fluid Cells Support Expansion Culture of Human Embryonic Stem Cells (양수 세포를 이용한 인간배아줄기세포의 배양)

  • Kim, Hee-Sun;Seol, Hye-Won;Ahn, Hee-Jin;Oh, Sun-Kyung;Ku, Seung-Yup;Kim, Seok-Hyun;Choi, Young-Min;Kim, Jung-Gu;Moon, Shin-Yong
    • Clinical and Experimental Reproductive Medicine
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    • v.31 no.4
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    • pp.261-271
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    • 2004
  • Objective: This study was performed to evaluate the possibility of prolonged culture of human embryonic stem cells (hESC; SNUhES2) on human amniotic fluid cells (hAFC), which had been storaged after karyotyping. Method: The hAFC was prepared for feeder layer in the presence of Chang's medium and STO medium (90% DMEM, 10% FBS) at $37^{circ}C$ in a 5% $CO_2$ in air atmosphere. Prior to use as a feeder layer, hAFC was mitotically inactivated by mitomycin C. The hESCs on hAFC were passaged mechanically every seven days with ES culture medium (80% DMEM/F12, 20% SR, bFGF). Results: The hAFC feeder layer support the growth of undifferentiated state of SNUhES2 for at least 59 passages thus far. SNUhES2 colonies on hAFC feeder appeared slightly angular and flatter shape as compared with circular and thicker colonies observed with STO feeder layer and showed higher level with complete undifferentiation in seven days. Like hESC cultured on STO feeders, SNUhES2 grown on hAFC expressed normal karyotype, positive for alkaline phosphatase activity, high telomerase activity, Oct-4, SSEA-3, SSEA-4, Tra-1-60 and Tra-1-81 and formed embryoid bodies (EBs). Conclusion: The hAFC supports undifferentiated growth of hESC. Therefore, these results may help to provide a clinically practicable method for expansion of hESC for cell therapies.

A Study on the Flood Reduction in Eco-Delta City in Busan using Observation Rainfall and Flood Modelling (관측 강우와 침수모의를 이용한 부산 에코델타시티 수해저감에 관한 연구)

  • Kim, YoonKu;Kim, SeongRyul;Jeon, HaeSeong;Choo, YeonMoon
    • Journal of Wetlands Research
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    • v.22 no.3
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    • pp.187-193
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    • 2020
  • The increase in the area of impervious water due to the recent abnormal weather conditions and rapid urbanization led to a decrease in the amount of low current, resulting in an increase in the amount of surface runoff. Increased surface runoff is causing erosion, destruction of underwater ecosystems, human and property damage in urban areas due to flooding of urban river. The damage has been increasing in Korea recently due to localized heavy rains, typhoons and floods. As a countermeasure, the Busan Metropolitan Government will proceed with the creation of the Eco-Delta City waterfront zone in Busan with the aim of creating a future-oriented waterfront city from 2012 to 2023. Therefore, the current urban river conditions and precipitation data were collected by utilizing SWMM developed by the Environment Protection Agency, and the target basin was selected to simulate flood damage. Measures to reduce flood damage in various cases were proposed using simulated data. It is a method to establish a disaster prevention plan for each case by establishing scenario for measures to reduce flood damage. Considering structural and non-structural measures by performing an analysis of the drainage door with a 30-year frequency of 80 minutes duration, the expansion effect of the drainage pump station is considered to be greater than that of the expansion of the drainage door, and 8 scenarios and corresponding alternatives were planned in combination with the pre-excluding method, which is a non-structural disaster prevention measure. As a result of the evaluation of each alternative, it was determined that 100㎥/s of the pump station expansion and the pre-excluding EL.(-)1.5m were the best alternatives.

Preparation and Electrochemical Characterization of Si/C/CNF Anode Material for Lithium ion Battery Using Rotary Kiln Reactor (회전킬른반응기를 이용한 리튬이온전지용 Si/C/CNF 음극활물질의 제조 및 전기화학적 특성 조사)

  • Jeon, Do-Man;Na, Byung-Ki;Rhee, Young-Woo
    • Korean Chemical Engineering Research
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    • v.56 no.6
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    • pp.901-908
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    • 2018
  • Graphite is used as a sample anode active material. However, since the maximum theoretical capacity is limited to $372mA\;h\;g^{-1}$, a new anode active material is required for the development of a high capacity lithium ion battery. The maximum theoretical capacity of Si is $4200mA\;h\;g^{-1}$, which is higher than that of graphite. However, it is not suitable for direct application to the anode active material because it has a volume expansion of 400%. In order to minimize the decrease of the discharge capacity due to the volume expansion, the Si was pulverized by the dry method to reduce the mechanical stress and the volume change of the reaction phase, and the change of the volume was suppressed by coating the carbon layers to the particle size controlled Si particles. And carbon fiber is grown like a thread on the particle surface to control secondary volume expansion and improve electrical conductivity. The physical and chemical properties of the materials were measured by XRD, SEM and TEM, and their electrochemical properties were evaluated. In this study, we have investigated the synthesis method that can be used as anode active material by improving cycle characteristics of Si.

The Possibility of Expansion of Performance in Hahoebyeolsingut Talnori : By Trans-Identity of the Chorangi Character (하회별신굿탈놀이의 연희 확장 가능성 고찰 : 초랭이 캐릭터의 정체성 전환을 통하여)

  • Kim, Dalho;Kim, Gongsook
    • 지역과문화
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    • v.7 no.3
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    • pp.23-48
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    • 2020
  • Hahoebyeolsingut Talnori, which is under permanent performance, has lost its relevance to folklore and rituals of the villagers and has secured the possibility of change depending on the actor's choice. This article seeks to expand the current stuck performance of Hahoe mask play, which has great significance as a play and play for the audience. To this end, We studied the possibility of expanding the performance of Hahoe Talnori by trans-identity of the Choragi. Chorangi character derides yangban, seonbi and monk, who are representatives of the establishment. Those who have a consciousness of potential transformation, those who passively represent the masses, and those who are tacitly authorized by the audience to ridicule the ruling class. The audience feels exhilarated by the super-cool, but at the same time reduces the limits. We transformed Chorangi who is clever but cannot overcome the limits of his status, into a character with a sense of transformation by applying the method of turnning identity and changing identity of the theory of trans-identity. And I applied the method of expansion of the media conversion storytelling theory to create a new Chorangi Madang that conforms to the audience's needs and the spirit of the times. In addition to the performance of Yangban Seonbi Madang(Act of Nobleman and Scholar) which ends with an ambiguous reconciliation, we wanted to complete it in a way that even today's audiences could accept by applying the function of the Hahoebyeolsingut Talnori ambassador and the principle of implementation. And We writed it in a script. This article is meant to be an experimental study that attempted to transform traditional performing arts in the context of new creation of tradition. Preservation and transmission of traditional performing arts are important, but it is necessary to move forward according to the trend and spirit of the times.

Generalized K Path Searching in Seoul Metropolitan Railway Network Considering Entry-Exit Toll (진입-진출 요금을 반영한 수도권 도시철도망의 일반화 K-경로탐색)

  • Meeyoung Lee
    • The Journal of The Korea Institute of Intelligent Transport Systems
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    • v.21 no.6
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    • pp.1-20
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    • 2022
  • The basic way to charge vehicles for using road and public transport networks is the entry-exit toll system. This system works by reading Hi-Pass and public transportation cards of the vehicles using card readers. However, the problems of navigating a route in consideration of entry-exit toll systems include the non-additive costs of enumerating routes. This problem is known as an NP-complete task that enumerates all paths and derives the optimal path. So far, the solution to the entry-exit toll system charging has been proposed in the form of transforming the road network. However, unlike in the public transport network where the cards are generalized, this solution has not been found in situations where network expansion is required with a transfer, multi-modes and multiple card readers. Hence, this study introduced the Link Label for a public transportation network composed of card readers in which network expansion is bypassed in selecting the optimal path by enumerating the paths through a one-to-one k-path search. Since the method proposed in this study constructs a relatively small set of paths, finding the optimal path is not burdensome in terms of computing power. In addition, the ease of comparison of sensitivity between paths indicates the possibility of using this method as a generalized means of deriving an optimal path.