• Title/Summary/Keyword: conformal

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CONFORMAL RICCI SOLITON ON PARACONTACT METRIC (k, 𝜇)-MANIFOLDS WITH SCHOUTEN-VAN KAMPEN CONNECTION

  • Pardip Mandal;Mohammad Hasan Shahid;Sarvesh Kumar Yadav
    • Communications of the Korean Mathematical Society
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    • v.39 no.1
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    • pp.161-173
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    • 2024
  • The main object of the present paper is to study conformal Ricci soliton on paracontact metric (k, 𝜇)-manifolds with respect to Schouten-van Kampen connection. Further, we obtain the result when paracontact metric (k, 𝜇)-manifolds with respect to Schouten-van Kampen connection satisfying the condition $^*_C({\xi},U){\cdot}^*_S=0$. Finally we characterized concircular curvature tensor on paracontact metric (k, 𝜇)-manifolds with respect to Schouten-van Kampen connection.

A Study on the Design of Cooling Channels of Injection Mould to Manufacture a Flat Part with a Partly Thick Volume (부분적으로 후육부를 가지는 평판형 제품의 제작을 위한 사출성형 금형의 냉각채널 설계에 관한 연구)

  • Ahn, Dong-Gyu;Park, Min-Woo;Kim, Hyung-Soo
    • Journal of the Korean Society for Precision Engineering
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    • v.29 no.8
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    • pp.824-833
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    • 2012
  • The shrinkage and the warpage of the moulded part are influenced by the design of the product and injection mould. In a flat part with a partly thick volume, the warpage of the flat part is created from the difference of the shrinkage between thin and thick regions. The warpage of the flat part with a partly thick volume can be reduced by a proper design of the cooling system in the injection mould. The goal of this paper is to design properly cooling channels of injection mould to manufacture a flat part with a partly thick volume. The conformal cooling channel is adopted to improve cooling characteristics of a region with the thick volume. The linear cooling channels are assigned to the other region. The proper design of the conformal cooling channels is obtained from three-dimensional injection molding analysis for various design alternatives. The moulding characteristics of the designed mould with both conformal and linear cooling channels are compared to those of the mould with linear cooling channels from viewpoints of temperature, shrinkage and warpage of the moulded part using numerical analysis. Injection mould with both conformal and linear cooling channels for the flat part with a partially thick volume is fabricated. In addition, injection moulding experiments are performed using the fabricated mould. From the results of the injection moulding experiments, it has been shown that the designed mould can successfully fabricate the flat part with a partially thick volume.

A Study on Fast Datum Transformation model for GIS (지리정보시스템을 위한 고속 측지계 변환 모델 연구)

  • Suh, Yong-Cheol
    • Journal of the Korean Association of Geographic Information Studies
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    • v.7 no.3
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    • pp.48-56
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    • 2004
  • This research focuses on the development of a fast datum transformation model to be used in GIS that utilizes real-time data transformation. Instance, when a GIS data constructed according to a datum is conformed to another datum, instead of transforming the axes of the original data, the data is transformed right before the results are reflected on the monitor. In this research, the prospects of calculating transformation parameters for every grid cells on the area based on two-dimensional conformal transformation model in order to decrease real-time datum transformation time while maintaining a high accuracy has been investigated. Research results showed that for a fixed area, the accuracies of the two-dimensional conformal transformation and the three-dimensional datum transformation, which requires more computing time, were almost equal and fast transformation speed, high accuracy real-time datum transformation is made feasible by implementing the grid-divided two-dimensional conformal transformation model.

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Case Studies on Applications of Conformal Cooling Channel Based On DMT Technology (DMT기술을 활용한 형상적응형 냉각채널 적용 사례 연구)

  • Kim, Woo-Sung;Hong, Myung-Pyo;Park, Jun-Seok;Lee, Yun-Soon;Cha, Kyoung Je;Sung, Ji-Hyun;Jung, Min-Wha;Lee, Ye-Hwan
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.14 no.3
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    • pp.9-14
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    • 2015
  • The Direct Metal Tooling (DMT) process is a kind of additive manufacturing processes, which is developed using various commercial steel powders, such as P20, P21, SUS420, and other non-ferrous metal powders. The DMT process is a versatile process that can be applied to various fields, such as the molding industry, the medical industry, and the defense industry. Among them, the application of the DMT process to the molding industry is one of its most attractive and practical applications, since the conformal cooling channel cores of injection molds can be fabricated at a slightly expensive cost by using the hybrid fabrication method of DMT technology compared with parts fabricated with machining technology. The main objectives of this study are to provide various characteristics of the parts made using the DMT process compared with the same parts machined from bulk materials and evaluate the performance of the injection mold equipped with a conformal cooling channel core fabricated using the hybrid method of the DMT process.

Spinal Cord Partial Block Technique Using Dynamic MLC

  • Cho, Sam-Ju;Yi, Byong-Yong;Back, Geum-Mun;Lee, Sang wook;Ahn, Seung-Do;Kim, Jong-Hoon;Kwon, Soo-Il;Park, Eun-Kyung
    • Proceedings of the Korean Society of Medical Physics Conference
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    • 2002.09a
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    • pp.138-140
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    • 2002
  • The spinal cord dose is the one of the limiting factor for the radiation treatment of the head & neck (H&N) or the thorax region. Due to the fact that the cord is the elongated shaped structure, it is not an easy task to maintain the cord dose within the clinically acceptable dose range. To overcome this problem, the spinal cord partial block technique (PBT) with the dynamic Multi-Leaf Collimator (dMLC) has been developed. Three dimension (3D) conformal beam directions, which minimize the coverage of the normal organs such as the lung and the parotid gland, were chosen. The PBT field shape for each field was designed to shield the spinal cord with the dMLC. The transmission factors were determined by the forward calculation method. The plan comparisons between the conventional 3D conformal therapy plan and the PTB plan were performed to evaluate the validity of this technique. The conformity index (CI) and the dose volume histogram (DVH) were used as the plan comparison indices. A series of quality assurance (QA) was performed to guarantee the reliable treatment. The QA consisted of the film dosimetry for the verification of the dose distribution and the point measurements. The PBT plan always generated better results than the conventional 3D conformal plan. The PBT was proved to be useful for the H&N and thorax region.

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Study on Beamforming of Conformal Array Antenna Using Support Vector Regression (Support Vector Regression을 이용한 컨포멀 배열 안테나의 빔 형성 연구)

  • Lee, Kang-In;Jung, Sang-Hoon;Ryu, Hong-Kyun;Yoon, Young-Joong;Nam, Sang-Wook;Chung, Young-Seek
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.29 no.11
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    • pp.868-877
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    • 2018
  • In this paper, we propose a new beamforming algorithm for a conformal array antenna based on support vector regression(SVR). While the conventional least squares method(LSM) considers all sample errors, SVR considers errors beyond the given error bound to obtain the optimum weight vector, which has a sparse solution and the advantage of the minimization of the overfitting problem. To verify the performance of the proposed algorithm, we apply SVR to the experimentally measured active element patterns of the conformal array antenna and obtain the weights for beamforming. In addition, we compare the beamforming results of SVR and LSM.

Shape design of conformal array using the beam pattern synthesis (빔 패턴 성능 분석을 이용한 곡면 배열 형상 설계)

  • Lee, Keunhwa;Shin, Donghoon;Lim, Jun-Seok;Hong, Wooyoung;Ha, Younghoon
    • The Journal of the Acoustical Society of Korea
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    • v.40 no.4
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    • pp.347-358
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    • 2021
  • The objective of this study is to optimize the shape of doubly curved surface where a conformal array is equipped. That surface is modeled with a double-ellipsoid solid controlled by four parameters. By analyzing the performance of the conformal array beams with the beam pattern synthesis, two design parameters are determined. Then, we define the weighted object function which is formulated as the sum of sharp indexes for directivity index, the elevation resolution, and the bearing resolution. The direct calculation on all grids is used to evaluate the weighted object function and seek the optimal value of two design parameters when the weightings are given. In the simulation, four kinds of weighting cases are respectively applied to evaluate the weighted object function. The optimal shapes of double-ellipsoid solid are shown in each case. Especially, when the uniform weightings are used, the double-ellipsoid solid with more smooth surface is obtained.

Stepped Impedance LPF Using MCS Line with Ground (접지가 있는 MCS 선로를 이용한 스텝 임피던스 저역 필터)

  • Rhee, Seung-Yeop;Lee, Yong-Kook
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.19 no.11
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    • pp.1248-1253
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    • 2008
  • The MCS(Micro-Coplanar Strip) line with ground has been analyzed. The conformal mapping method is used to calculate the quasi-static effective dielectric constant and characteristic impedance of this MCS line. The computed results of the present work are found to be in good agreement when compared with the results obtained using commercial S/W, IE3D. And in this paper, the stepped-impedance low pass filter is designed and fabricated with MCS lines for improving the frequency responses. The LPF proposed structure has been also designed and implemented to have the sharp attenuation characteristics in stop band. The agreement between simulation and measurement results verify the implemented LPF.