• Title/Summary/Keyword: Expansion Method

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A study of Dental Casting Method (치과 주조에 관한 고찰)

  • Choi, Jea-Kyung;Nho, Hwon-Ju
    • Journal of Technologic Dentistry
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    • v.9 no.1
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    • pp.79-88
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    • 1987
  • According as the density of prosthetic by casting among the prosthetic restorations is increasing now, the definition and the bounds as to the casting, the method of making the right casting and the establishment of concepts about a minute report and so on, the establishment of the basic principles like those are unavoidable, and then the casting shrinkage must be compensated by setting expansion thermal expansion. Hygroscopic expansion in making the good casting types as we demonstrated that already asbestos lining. We confirmed the fact that the considerable concern about the surface tension and the gas inspiration? Is necessary in making better the casting.

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Error Estimation for the Semi-Analytic Design Sensitivity Using the Geometric Series Expansion Method (기하급수 전개법을 이용한 준해석 민감도의 오차 분석)

  • Dan, Ho-Jin;Lee, Byung-Chai
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.2
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    • pp.262-267
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    • 2003
  • Error of the geometric series expansion method for the structural sensitivity analysis is estimated. Although the semi-analytic method has several advantages, accuracy of the method prevents it from practical application. One of the promising remedies is the use of geometric series formula for the matrix inversion. Its result of the sensitivity analysis converges that of the global difference method which is known as reliable one. To reduce computational efforts and to obtain reliable results, it is important to know how many terms need to expand. In this paper, the error formula is presented and Its usefulness is illustrated through numerical experiments.

Development of an Analytic Nodal Expansion Method of Neutron Diffusion Equation in Cylindrical Geometry

  • Kim, Jae-Shik;Kim, Jong-Kyung;Kim, Hyun-Dae
    • Proceedings of the Korean Nuclear Society Conference
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    • 1996.05a
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    • pp.131-136
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    • 1996
  • An analytic nodal expansion method has been derived for the multigroup neutron diffusion equation in 2-D cylindrical(R-Z) coordinate. In this method we used the second order Legendre polynomials for source, and transverse leakage, and then the diffusion eqaution was solved analytically. This formalism has been applied to 2-D LWR model. $textsc{k}$$_{eff}$, power distribution, and computing time have been compared with those of ADEP code(finite difference method). The benchmark showed that the analytic nodal expansion method in R-Z coordinate has good accuracy and quite faster than the finite difference method. This is another merit of using R-Z coordinate in that the transverse integration over surfaces is better than the linear integration over length. This makes the discontinuity factor useless.s.

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Design of Pipe Expanding Die by Upper Bound Analysis and Finite Element Method (상계법과 유한요소법을 이용한 확관금형 설계)

  • Cho, Yong-Il;Kim, Seung-Hwan;Qiu, Yuan-gen;Cho, Hae-Yong
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.19 no.5
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    • pp.98-104
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    • 2020
  • Pipe expansion involves various methods to enlarge the diameter of the pipes with the use of a mandrel or punch placed inside the pipe. In this study, the upper bound method was used to analyze the pipe expanding process as well as design a die. A kinematically admissible velocity field was derived for the upper bound analysis with the occurrence of pipe thinning during the expansion factored in. The analysis confirms that a semi-cone angle of the punch between 15ween pip is most advantageous for pipe expansion. The results of the upper bound analysis, which were also consistent with those of the FEM, can be useful for the design of a pipe expansion die.

Study of Tube Expansion to Produce Hair-Pin Type Heat Exchanger Tubes using the Finite Element Method (유한요소법을 이용한 헤어핀 형 열 교환기의 튜브 확관에 대한 연구)

  • Hong, S.;Hyun, H.;Hwang, J.
    • Transactions of Materials Processing
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    • v.23 no.3
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    • pp.164-170
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    • 2014
  • To predict the deformation and fracture during tube expansion using the finite element (FE) method, a material model is considered that incorporates the damage evolution due to the deformation. In the current study, a Rice-Tracey model was used as the damage model with inclusion of the hydrostatic stress term. Since OFHC Cu is not significantly affected by strain rate, a Hollomon flow stress model was used. The material parameters in each model were obtained by using an optimization method. The objective function was defined as the difference between the experimental measurements and FE simulation results. The parameters were determined by minimizing the objective function. To verify the validity of the FE modeling, cross-verification was conducted through a tube expansion test. The simulation results show reasonable agreement with the experiments. The design for a minimum diameter of expansion tube using the FE modeling was verified by a simplified tube expansion test and simulation results.

Load Recovery Using D-Optimal Sensor Placement and Full-Field Expansion Method (D-최적 실험 설계 기반 최적 센서 배치 및 모델 확장 기법을 이용한 하중 추정)

  • Seong-Ju Byun;Seung-Jae Lee;Seung-Hwan Boo
    • Journal of the Society of Naval Architects of Korea
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    • v.61 no.2
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    • pp.115-124
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    • 2024
  • To detect and prevent structural damage caused by various loads on marine structures and ships, structural health monitoring procedure is essential. Estimating loads acting on the structures which are measured by sensors that are mounted properly are crucial for structural health monitoring. However, attaching an excessive number of sensors to the structure without consideration can be inefficient due to the high costs involved and the potential for inducing structural instability. In this study, we introduce a method to determine the optimal number of sensors and their optimized locations for strain measurement sensors, allowing for accurate load estimation throughout the structure using model expansion method. To estimate the loads exerted on the entire structure with minimal sensors, we construct a strain-load interpolation matrix using the strain mode shapes of the finite element (FE) model and select the optimal sensor locations by applying D-Optimal Design and the row exchange algorithm. Finally, we estimate the loads exerted on the entire structure using the model expansion method. To validate the proposed method, we compare the results obtained by applying the optimal sensor placement and model expansion method to an FE model subjected to arbitrary loads with the loads exerted on the entire FE model, demonstrating efficiency and accuracy.

A multiscale method for analysis of heterogeneous thin slabs with irreducible three dimensional microstructures

  • Wang, Dongdong;Fang, Lingming
    • Interaction and multiscale mechanics
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    • v.3 no.3
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    • pp.213-234
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    • 2010
  • A multiscale method is presented for analysis of thin slab structures in which the microstructures can not be reduced to two-dimensional plane stress models and thus three dimensional treatment of microstructures is necessary. This method is based on the classical asymptotic expansion multiscale approach but with consideration of the special geometric characteristics of the slab structures. This is achieved via a special form of multiscale asymptotic expansion of displacement field. The expanded three dimensional displacement field only exhibits in-plane periodicity and the thickness dimension is in the global scale. Consequently by employing the multiscale asymptotic expansion approach the global macroscopic structural problem and the local microscopic unit cell problem are rationally set up. It is noted that the unit cell is subjected to the in-plane periodic boundary conditions as well as the traction free conditions on the out of plane surfaces of the unit cell. The variational formulation and finite element implementation of the unit cell problem are discussed in details. Thereafter the in-plane material response is systematically characterized via homogenization analysis of the proposed special unit cell problem for different microstructures and the reasoning of the present method is justified. Moreover the present multiscale analysis procedure is illustrated through a plane stress beam example.

A Study on the Transmission System Expansion Planning using Fuzzy Integer Programming (Fuzzy 정수계획법을 이용한 송전망의 확충계획에 관한 연구)

  • Kim, Hong-Sik;Moon, Seung-Pil;Lee, Young-Jin;Choi, Hyong-Lim;Choi, Jae-Seok
    • Proceedings of the KIEE Conference
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    • 2001.11b
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    • pp.350-353
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    • 2001
  • This study proposes a new method for the transmission system expansion planning using the fuzzy integer programming. It presents stepwise cost characteristics analysis which is a practical condition of an actual systems. A branch and bound method which includes the network flow method and the maximum flow-minimum cut set theorem has been used in order to proceed the stepwise cost characteristics analysis. Uncertainties of the permission of the construction cost and not strict reserve rate and load forecasting of expansion planning have been included and also processed using fuzzy set theory in this study. In order to proceed the latter analysis, the solving procedure is illustrated in detail by branch and bound method which includes the network flow method and maximum flow-minimum cut set theorem. Finally, case studies on 21-bus test system show that the algorithm proposed is efficiently applicable to the practical expansion planning of transmission systems in future.

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Transmission System Expansion Planning by Nodal Delivery Marginal Rate Criterion -II (모선수송전달능력(母線輸送傳達能力) 신뢰도 기준에 의한 송전계통(送電系統)의 광역설계(擴充計劃) -II)

  • Park, Jeong-Je;Shi, Bo;Jeong, Sang-Hun;Choi, Jae-Seok;Mount, Timothy;Thomas, Robert
    • Proceedings of the KIEE Conference
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    • 2007.07a
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    • pp.574-575
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    • 2007
  • This paper proposes a method for choosing the best transmission system expansion plan using nodal/bus delivery marginal rate criterion ($BMR_k$) defined newly in this paper. The objective method minimizes a total cost which is an investment budget for constructing new transmission lines subject to the $BMR_k$ which means a nodal deterministic reliability level requirement at specified load point. The proposed method models the transmission system expansion problem as an integer programming problem. It solves for the optimal strategy using a branch and bound method that utilizes a network flow approach and the maximum flow-minimum cut set theorem. Test results on an existing 21-bus system are included in the paper. It demonstrated the suitability of the proposed method for solving the transmission system expansion planning problem in competitive electricity market environment.

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An Effective Method to Treat The Boundary Pixels for Image Compression with DWT (DWT를 이용한 영상압축을 위한 경계화소의 효과적인 처리방법)

  • 서영호;김종현;김대경;유지상;김동욱
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.27 no.6A
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    • pp.618-627
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    • 2002
  • In processing images using 2 dimensional Discrete Wavelet Transform(2D-DWT), the method to process the pixels around the image boundary may affect the quality of image and the cost to implement in hardware and software. This paper proposed an effective method to treat the boundary pixels, which is apt to implement in hardware and software without losing the quality of the image costly. This method processes the 2-D image as 1-D array so that 2-D DWT is performed by considering the image with the serial-sequential data structure (Serial-Sequential Processing). To show the performance and easiness in implementation of the proposed method, an image compression codec which compresses image and reconstructs it has been implemented and experimented. It included log-scale fried quantizer, but the entropy coder was not implemented. From the experimental results, the proposed method showed the SNR of almost the same SNR(Signal to Noise Ratio) to the Periodic Expansion(PE) method when the compression ratio(excluding entropy coding) of 2:1, 15.3% higher than Symmetric Expansion(SE) method, and 9.3% higher than 0-pixel Padding Expansion(ZPE) method. Also PE method needed 12.99% more memory space than the proposed method. By considering only the compression process, SE and ZPE methods needed additional operations than the proposed one. In hardware implementation, the proposed method in this paper had 5.92% of overall circuit as the control circuit, while SE, PE, and ZPE method has 22%, 21,2%, and 11.9% as the control circuit, respectively. Consequently, the proposed method can be thought more effective in implementing software and hardware without losing any image quality in the usual image processing applications.