• 제목/요약/키워드: orthogonal condition

검색결과 246건 처리시간 0.027초

THE POLYANALYTIC SUB-FOCK REPRODUCING KERNELS WITH CERTAIN POSITIVE INTEGER POWERS

  • Kim, Hyeseon
    • 호남수학학술지
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    • 제44권3호
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    • pp.447-460
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    • 2022
  • We consider a closed subspace ${\tilde{A}}^{{\alpha},m}_q$ (ℂ) of the Fock space Aα,mq (ℂ) of q-analytic functions with the weight ϕ(z) = -α log |z|2+|z|2m for any positive integer m. We obtain the corresponding reproducing kernel Kα,q,m(z, w) using the weighted Laguerre polynomials and the Mittag-Leffler functions. Finally, we investigate the necessary and sufficient condition on (α, q, m) such that Kα,q,m(z, w) is zero-free.

개선된 회귀착점 방법을 이용한 이방성 적층구조물의 소성해석 (Analysis of Anisotropic Plasticity of Additively Manufactured Structure using Modified Return Mapping Method)

  • 양승용;진두한;김정한
    • 한국분말재료학회지
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    • 제29권4호
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    • pp.303-308
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    • 2022
  • The plastic deformation behavior of additively manufactured anisotropic structures are analyzed using the finite element method (FEM). Hill's quadratic anisotropic yield function is used, and a modified return-mapping method based on dual potential is presented. The plane stress biaxial loading condition is considered to investigate the number of iterations required for the convergence of the Newton-Raphson method during plastic deformation analysis. In this study, incompressible plastic deformation is considered, and the associated flow rule is assumed. The modified return-mapping method is implemented using the ABAQUS UMAT subroutine and effective in reducing the number of iterations in the Newton-Raphson method. The anisotropic tensile behavior is computed using the 3-dimensional FEM for two tensile specimens manufactured along orthogonal additive directions.

절삭 조건과 공구 형상 인자로 구성된 무차원 파라미터에 의한 절삭 성능 및 칩절단 특성 평가(I) (Assessment of cutting performance and chip breaking characteristics with a nondimensional parameter consists of cutting condition and tool shape factor(l) -Orthogonal cutting-)

  • 이영문;최원식;서석원
    • 한국정밀공학회지
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    • 제11권6호
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    • pp.179-184
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    • 1994
  • In this study a nondimensional parameter, feed/land length(F/L) was introduced, and using this parameter, cutting performance and chip breaking characteristics of the groove and the land angle type chip formers were assessed. Specific cutting energy consumed and shape of broken chip with its breaking cycle time were appraised to find out the ranges of F/L value where efficient cutting and effective chip breaking could be achieved. C type chip was found out to be the most preferable in terms of cutting efficiency.

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다중 균열을 갖는 신장 보의 균열 에너지와 지배방정식 (Crack Energy and Governing Equation of an Extensible Beam with Multiple Cracks)

  • 손수덕
    • 한국공간구조학회논문집
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    • 제24권1호
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    • pp.65-72
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    • 2024
  • This paper aims to advance our understanding of extensible beams with multiple cracks by presenting a crack energy and motion equation, and mathematically justifying the energy functions of axial and bending deformations caused by cracks. Utilizing an extended form of Hamilton's principle, we derive a normalized governing equation for the motion of the extensible beam, taking into account crack energy. To achieve a closed-form solution of the beam equation, we employ a simple approach that incorporates the crack's patching condition into the eigenvalue problem associated with the linear part of the governing equation. This methodology not only yields a valuable eigenmode function but also significantly enhances our understanding of the dynamics of cracked extensible beams. Furthermore, we derive a governing equation that is an ordinary differential equation concerning time, based on orthogonal eigenmodes. This research lays the foundation for further studies, including experimental validations, applications, and the study of damage estimation and detection in the presence of cracks.

Micro Cutting of Tungsten Carbides with SEM Direct Observation Method

  • jung, Heo-Sung
    • Journal of Mechanical Science and Technology
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    • 제18권5호
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    • pp.770-779
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    • 2004
  • This paper describes the micro cutting of wear resistant tungsten carbides using PCD (Poly-Crystalline Diamond) cutting tools in performance with SEM (Scanning Electron Microscope) direct observation method. Turning experiments were also carried out on this alloy (V50) using a PCD cutting tool. One of the purposes of this study is to describe clearly the cutting mechanism of tungsten carbides and the behavior of WC particles in the deformation zone in orthogonal micro cutting. Other purposes are to achieve a systematic understanding of machining characteristics and the effects of machining parameters on cutting force, machined surface and tool wear rates by the outer turning of this alloy carried out using the PCD cutting tool during these various cutting conditions. A summary of the results are as follows: (1) From the SEM direct observation in cutting the tungsten carbide, WC particles are broken and come into contact with the tool edge directly. This causes tool wear in which portions scrape the tool in a strong manner. (2) There are two chip formation types. One is where the shear angle is comparatively small and the crack of the shear plane becomes wide. The other is a type where the shear angle is above 45 degrees and the crack of the shear plane does not widen. These differences are caused by the stress condition which gives rise to the friction at the shear plane. (3) The thrust cutting forces tend to increase more rapidly than the principal forces, as the depth of cut and the cutting speed are increased preferably in the orthogonal micro cutting. (4) The tool wear on the flank face was larger than that on the rake face in the orthogonal micro cutting. (5) Three components of cutting force in the conventional turning experiments were different in balance from ordinary cutting such as the cutting of steel or cast iron. Those expressed a large value of thrust force, principal force, and feed force. (6) From the viewpoint of high efficient cutting found within this research, a proper cutting speed was 15 m/min and a proper feed rate was 0.1 mm/rev. In this case, it was found that the tool life of a PCD tool was limited to a distance of approximately 230 m. (7) When the depth of cut was 0.1 mm, there was no influence of the feed rate on the feed force. The feed force tended to decrease, as the cutting distance was long, because the tool was worn and the tool edge retreated. (8) The main tool wear of a PCD tool in this research was due to the flank wear within the maximum value of $V_{max}$ being about 260 $\mu\textrm{m}$.

다중 초음파 조사 반응조에서의 TCE의 초음파 분해 (Sonolysis of Trichloroethylene in the Multi Ultrasound Irradiation Reactor)

  • 이민주;오재일
    • 대한환경공학회지
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    • 제31권10호
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    • pp.873-882
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    • 2009
  • 584 kHz 정사각형 Batch형 초음파 반응조를 이용하여 TCE (Trichloroethylene)의 초음파 분해에 대한 연구를 수행하였다. 단면 조사 조건에서 초음파 시스템에서의 중요한 운전인자인 초음파 출력과 수용액 온도 조건의 영향에 대한 기초 연구를 수행하였으며, 다중 조사 조건에서의 초음파 출력 분배와 조사각에 따른 초음파 효과에 대해 고찰함으로써 제작된 반응조의 처리 효율을 검증하였다. 단면 조사 조건에서 초음파의 출력을 100에서 300 W로 단계적으로 증가시킬 때 TCE의 분해 속도 상수와 $H_2O_2$의 발생 속도 상수, 그리고 TCE의 무해화(mineralization) 정도의 판단 지표인 chloride의 발생 또한 모두 함께 증가하였다. 한편 초음파 출력 200 W 조건에서 수용액의 온도를 10에서 $30^{\circ}C$로 증가시킴에 따라 TCE 저감 속도 상수와 $H_2O_2$ 발생 속도 상수는 증가한 반면, chloride 발생은 오히려 감소하였다. 다중 조사 조건에 대한 실험 결과 300 W의 초음파 출력을 1, 2(직각), 2(정면), 3, 그리고 4면의 조사면에 따라 분배하였을 때 TCE의 분해 속도 상수는 4면 > 3면 > 단면 > 2면 정면 > 2면 직각의 순으로 조사면 수가 많아질수록 다소 증가하는 경향을 나타내었다. 그러나 최대, 최소값의 큰 차이는 나타나지 않았다. 300 W와 450 W의 출력 조건에서 2면 정면과 직각 분배 조건에 대한 실험 결과를 비교한 결과 TCE의 분해 속도 상수는 거의 비슷하였으나 $H_2O_2$는 2면 정면 조건에서 더욱 많이 발생하는 것으로 나타났다.

Production of ρ-Hydroxyacetophenone by Engineered Escherichia coli Heterologously Expressing 1-(4-Hydroxyphenyl)-Ethanol Dehydrogenase

  • Wenmei Wu;Xiwei Yuan;Xin Gao;Chaoyang Tan;Shunxiang Li;Dehong Xu
    • Journal of Microbiology and Biotechnology
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    • 제34권2호
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    • pp.467-475
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    • 2024
  • ρ-Hydroxyacetophenone is an important and versatile compound that has been widely used in medicine, cosmetics, new materials, and other fields. At present, there are two ways to obtain ρ-hydroxyacetophenone. One is to extract it from plants, such as Artemisia capillaris Thunb and Cynanchum otophyllum Schneid, and the other is to synthesize it by using chemical methods. Of these two methods, the second is the main one, although it has problems, such as flammable and explosive reagents, difficult separation of by-products, and harsh reaction conditions. To solve these issues, we adopted genetic engineering in this study to construct engineered Escherichia coli containing Hped gene or EbA309 gene. Whole-cell biotransformation was conducted under the same conditions to select the engineered E. coli with the higher activity. Orthogonal tests were conducted to determine the optimal biotransformation condition of the engineered E. coli. The results showed that the optimal condition was as follows: substrate concentration of 40 mmol/l, IPTG concentration of 0.1 mmol/l, an induction temperature of 25℃, and a transformation temperature of 35℃. Under this condition, the effects of transformation time on the ρ-hydroxyacetophenone concentration and cell growth were further studied. We found that as the transformation time extended, the ρ-hydroxyacetophenone concentration showed a gradually increasing trend. However, when the ρ-hydroxyacetophenone concentration increased to 1583.19 ± 44.34 mg/l in 24 h, cell growth was inhibited and then entered a plateau. In this research, we realized the synthesis of ρ-hydroxyacetophenone by biotransformation, and our findings lay a preliminary foundation for further improving and developing this method.

MIMO-OFDM 수신기의 성능 열화 분석 및 고속 이동환경에서의 성능 향상을 위한 저복잡도 HIC 간섭제거 기법 (Analysis on the Performance Degradation of MIMO-OFDM Receiver and Hybrid Interference Cancellation with Low Complexity for the Performance Improvement Under High-Mobility Condition)

  • 강승원;김규현;장경희
    • 한국통신학회논문지
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    • 제32권2C호
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    • pp.95-112
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    • 2007
  • 다중 안테나 기술의 공간 다중화 방식은 다수의 송신 안테나가 서로 다른 데이터를 전송함으로써 시스템의 동일한 대역폭을 이용하여 높은 데이터 전송률을 제공하는 기술로서, 심볼간 간섭 (ISI : Inter-Symbol Interference)과 주파수 선택적 페이딩 (Frequency Selective Fading)에 강인한 OFDM (Orthogonal Frequency Division Multiplexing)과 함께 사용된다. 하지만, OFDM은 고속 이동환경에서 서브 캐리어간의 직교성이 유지되지 않아 서브캐리어간의 간섭 (ICI : Inter-Carrier Interference)으로 인하여 시스템의 성능 열화가 발생한다. 본 논문에서는 ICI와 다중 안테나간의 상관도에 의한 CAI (Co-Antenna Interference)의 발생 원인과 그에 따른 성능 열화를 해석적으로 분석하고, 고속 이동환경에서 MIMO-OFDM 수신기의 QoS를 만족시키기 위한 ICI의 제거 방법으로 저복잡도의 HIC와 데이터 전송률을 저하시키지 않는 CIR (Channel Impuse Response) 추정 방법을 제안한다. 그리고 SCM-E Sub-urban Macro MIMO 채널에서의 모의 실험을 통해, ICI와 CAI에 의한 성능 열화 분석 결과와 모의 실험 결과가 일치하는 것을 검증하고, 고속 이동환경에서 HIC를 적용한 MIMO-OFDM 시스템의 성능이 향상되는 것을 보인다.

유한요소해석과 다구찌방법을 이용한 에너지 저장형 의족용골의 설계에 관한 연구 (A Study on the Design of the Keel in the Energy Storing Prosthetic Foot Using the Finite Element Analysis and the Taguchi Method)

  • 이동희;장태성;이정주;윤용산
    • 대한기계학회논문집A
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    • 제24권3호
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    • pp.613-624
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    • 2000
  • In this study, new design method of prosthetic foot was suggested which can evaluate the performance of prosthetic foot by implementing amputee's gait simulation using the finite element analysis. The basic shape of ESPF(Energy Storing Prosthetic Foot) was designed which is suitable for the below-knee amputee considering mechanical properties and kinematic properties. And, the performance evaluations were performed using the Taguchi method with orthogonal array L25. As a result, average main effect of factors for the ESPF's performance were calculated and then optimum condition of given shape was selected. Essential particulars for the performance evaluation from the simulation result were the quantity of external work needed in stance phase, the quantity of transferred energy from the ESPF through the knee, and the vertical displacement of knee at toe-off. Reasonable optimum condition was obtained from the using performance index. From this study, it was found that it is necessary for the design of ESPF to consider the geometrical data related to the magnitude of load on elastic material.

터빈블레이드의 냉각에서 충돌제트에 의해 변화되는 유동 및 열전달 특성에 관한 수치해석적 연구 (A numerical study of flow and heat transfer characteristics varied by impingement jet in turbine blade cooling)

  • 이정희;김신일;유홍선;최영기
    • 대한기계학회논문집B
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    • 제20권12호
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    • pp.4013-4026
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    • 1996
  • A numerical simulation has been carried out for the jet impinging on a flat plate and a semi-circular concave surface. In this computation finite volume method was employed to solve the full Navier-Stokes equation based on a non-orthogonal coordinate with non staggered variable arrangement. The standard k-.epsilon. turbulent model and low Reynolds number k-.epsilon. model(Launder-Sharmar model) with Yap's correction were adapted. The accuracy of the numerical calculations were compared with various experimental data reported in the literature and showed good predictions of centerline velocity decay, wall pressure distribution and skin friction. For the jet impingement on a semi-circular concave surface, potential core length was calculated for two different nozzle(round edged nozzle and rectangular edged nozzle) to consider effects of the nozzle shape. The result showed that round edged nozzle had longer potential core length than rectangular edged nozzle for the same condition. Heat transfer rate along the concave surface with constant heat flux was calculated for various nozzle exit to surface distance(H/B) in the condition of same jet velocity. The maximum local Nusselt number at the stagnation point occurred at H/B = 8 where the centerline turbulent intensity had maximum value. The predicted Nusselt number showed good agreement with the experimental data at the stagnation point. However heat transfer predictions along the downstream were underestimated. This results suggest that the improved turbulence modeling is required.