• Title/Summary/Keyword: diagonal

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로그 목적함수의 유사 헤시안을 이용한 라플라스 영역 파형 역산과 레벤버그-마쿼트 알고리듬 (Laplace-domain Waveform Inversion using the Pseudo-Hessian of the Logarithmic Objective Function and the Levenberg-Marquardt Algorithm)

  • 하완수
    • 지구물리와물리탐사
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    • 제22권4호
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    • pp.195-201
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    • 2019
  • 파형 역산에 사용하는 로그 목적함수는 관측 자료와 모델링 자료의 로그값의 차이를 최소화하는 목적함수이다. 라플라스 영역 파형 역산에서는 주로 로그 목적함수와 유사 헤시안의 대각 성분을 이용하여 최적화를 수행한다. 이 때 유사 헤시안의 대각 성분이 0 또는 0에 가까운 값이 되는 것을 막기 위해 레벤버그-마쿼트 알고리듬을 적용한다. 본 연구에서는 로그 목적함수의 유사 헤시안의 대각 성분을 분석하여 음향파 라플라스 영역 파형 역산에서는 유사 헤시안의 대각 성분이 0 또는 0에 가까운 값을 가지지 않음을 보였다. 따라서 로그 목적함수의 유사 헤시안을 이용한 경사 방향 정규화시 레벤버그-마쿼트 알고리듬을 적용할 필요가 없다. 수치 예제에서 인공합성 자료와 현장 자료를 이용해 레벤버그-마쿼트 기법 없이도 역산 결과를 얻을 수 있음을 보였다.

휠체어 사용자의 대변기 접근 방식 선호도 분석에 관한 연구 - 휠체어 사용자의 장애 유형 및 휠체어 종류를 중심으로 (A Study on Preference of Wheelchair Users to Toilet Approach Way - Focused on Wheelchair Users' Disability Types and Their Wheelchair Types)

  • 배융호;이경성
    • 의료ㆍ복지 건축 : 한국의료복지건축학회 논문집
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    • 제26권1호
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    • pp.17-27
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    • 2020
  • Purpose: The purpose of this study is to identify the difference in toilet approach way by wheelchair users according to the direction of the door and to suggest the layout of the toilet rooms most accessible to the wheelchair users. Methods: Survey to wheelchair users about approach to toilet have been conducted for the data collection. 90 answers have been analyzed statistically by SPSS 19.0 program. Results: The conclusions of this study are as follows. Firstly, spinal cord disorders prefer diagonal approach and lateral approach to the toilet, but brain lesions prefer diagonal approach and frontal approach to toilet. Secondly, the manual wheelchair users prefer the diagonal approach and the lateral approach to the toilet, and the electric wheelchair users has a different approach way to the toillet depending on the direction of the door. Finally, the layout of accessible toilets have to be designed for the diagonal approach to toilet, which is most preferred by wheelchair users. Implications: The toilet approach varies according to the disability types and the wheelchair types. Therefore, the size of accessible toilets should be larger than now considering the access of variety wheelchair users.

다축대각단조(MADF) 가공횟수에 따른 OFC의 미세조직 변화 (Microstructural Changes of OFC according to the Processing Number of Multi-Axial Diagonal Forging (MADF))

  • 김순태;권상철;김다빈;이성;최시훈;정효태
    • 소성∙가공
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    • 제27권6호
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    • pp.347-355
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    • 2018
  • This study investigated the effects of the processing number of multi-axial diagonal forging (MADF) on the microstructural changes of OFC fabricated by MADF processes. The as-extruded OFC was cut to $25mm^3$ cube for the MADF processes. The MADF process consists of plane forging with a thickness reduction of 30% and diagonal forging with a diagonal forging angle of $135^{\circ}$. In order to analyze the microstructural evolutions according to the number of repetitions, 1, 2, 3 and 4 cycles of the MADF process were performed. OFC specimens were successfully deformed without surface cracking for up to 4 cycles of MADF. The grain size, average misorientation and average grain orientation spread (GOS) of MADF processed materials were analyzed using EBSD technique and their Vicker's hardness were also measured. The results showed that MADF process effectively refined the microstructure of OFC with initial average grain size of $84.2{\mu}m$. The average grain sizes of specimens MADF processed for 1, 2, 3, 4 cycles were refined to be $8.5{\mu}m$, $2.2{\mu}m$, $1.5{\mu}m$, $1.1{\mu}m$, respectively. The grain refinement seemed to be saturated when OFC was MADF processed over 2 cycles. In the case of specimens subjected to two or more cycles of MADF, the degree of decrease in average grain size was drastically reduced as the number of cycles increased due to softening phenomena such as dynamic recovery or dynamic recrystallization during processing. The degree of increase in average Vicker's hardness was also dramatically reduced as the number of cycles increased due to the same reason.

다축대각단조(MADF) 가공횟수에 따른 AA1100의 미세조직 변화 (Microstructural Changes of AA1100 According to the Processing Number of Multi-Axial Diagonal Forging (MADF))

  • 권상철;김순태;김다빈;김민성;이성;최시훈;정효태
    • 소성∙가공
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    • 제28권2호
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    • pp.63-70
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    • 2019
  • This study investigates the effects of multi-axial diagonal forging (MADF) processing number on the microstructures of AA1100 fabricated using MADF processes. The cast AA1100 was annealed at $400^{\circ}C$ for 3hrs in $N_2$ atmosphere and cut into $25mm^3$ cubes for the MADF processes. The MADF process consist of plane forging with a thickness reduction of 30% and a diagonal forging with a diagonal forging angle of 135 degrees. In order to analyze the microstructural variations based on the number of repetitions, 1, 2, 3 and 4 cycles of the MADF process were performed. AA1100 specimens were successfully deformed without cracking of the surface for up to 4 cycles of MADF. The grain size, average misorientation and average grain orientation spread (GOS) of MADF processed materials were analyzed using EBSD technique. The results showed that MADF process effectively refined the microstructure of AA1100 with an initial average grain size of $337.4{\mu}m$. The average grain sizes of specimens which were MADF processed for 2, 3, 4 cycles were refined to be $1.9{\mu}m$, $1.6{\mu}m$, $1.4{\mu}m$, respectively. The grain refinement appeared saturated when AA1100 got MADF processed over 2 cycles. When the specimen was subjected to two or more cycles of MADF, the degree of decrease in the average grain size drastically decreased with an increase in the number of cycle due to the softening phenomena such as dynamic recovery or dynamic recrystallization during processing.

Study on steel plate shear walls with diagonal stiffeners by cross brace-strip model

  • Yang, Yuqing;Mu, Zaigen;Zhu, Boli
    • Structural Engineering and Mechanics
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    • 제84권1호
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    • pp.113-127
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    • 2022
  • Steel plate shear walls (SPSWs) are commonly utilized to provide lateral stiffness in high-rise structures. The simplified model is frequently used instead of the fine-scale model in the design of buildings with SPSWs. To predict the lateral strength of steel plate shear walls with diagonal stiffeners (DS-SPSWs), a simplified model is presented, namely the cross brace-strip model (CBSM). The bearing capacity and internal forces of columns for DS-SPSWs are calculated. In addition, a modification coefficient is introduced to account for the shear action of the thin plate. The feasibility of the CBSM is validated by comparing the numerical results with theoretical and experimental results. The numerical results from the CBSM and fine-scale model, which represent the bearing capacity of the DS-SPSW with varied stiffened plate dimensions, are in good accord with the theoretical values. The difference in bearing capacity between the CBSM and the fine-scale model is less than 1.35%. The errors of the bearing capacity from the CBSM are less than 5.67% when compared to the test results of the DS-SPSW. Furthermore, the shear and axial forces of CBSM agree with the results of the fine-scale model and theoretical analysis. As a result, the CBSM, which reflects the contribution of diagonal stiffeners to the lateral resistance of the SPSW as well as the effects on the shear and axial forces of the columns, can significantly improve the design accuracy and efficiency of buildings with DS-SPSWs.

고성능 섬유 보강 시멘트 복합체(HPFRCC)를 적용한 세장한 연결보의 내진거동 평가 (Seismic Behavior of Slender Coupling Beams Constructed with High-Performance Fiber Reinforced Cementitious Composite)

  • 한상환;권현욱;신명수;이기학;조영욱
    • 한국지진공학회논문집
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    • 제17권6호
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    • pp.271-278
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    • 2013
  • The hysteretic behavior of diagonal reinforced coupling beams is excellent during earthquakes. However, construction of the diagonal reinforced coupling beams is difficult due to complex reinforcement details required by current code procedures (ACI 318-11). Due to the detail requirement, reinforcement congestion and interference among transverse reinforcement always occur during construction field. When the aspect ratio of the beam is large, the interference of reinforcement becomes more serious. The objective of this paper is to simplify the reinforcement details of slender coupling beams by reducing transverse reinforcement around the beam perimeter. For this purpose, high- performance fiber reinforced cementitious composites are used for making coupling beams. Experiments were conducted using three specimens having aspect ratio 3.5. Test results showed that HPFRCC coupling beams with half the transverse reinforcement required by ACI 318-11 provided identical seismic capacities to the corresponding coupling beams having requirement satisfying the requirement specified in ACI 318-11.

QUANTUM MARKOVIAN SEMIGROUPS ON QUANTUM SPIN SYSTEMS: GLAUBER DYNAMICS

  • Choi, Veni;Ko, Chul-Ki;Park, Yong-Moon
    • 대한수학회지
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    • 제45권4호
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    • pp.1075-1087
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    • 2008
  • We study a class of KMS-symmetric quantum Markovian semigroups on a quantum spin system ($\mathcal{A},{\tau},{\omega}$), where $\mathcal{A}$ is a quasi-local algebra, $\tau$ is a strongly continuous one parameter group of *-automorphisms of $\mathcal{A}$ and $\omega$ is a Gibbs state on $\mathcal{A}$. The semigroups can be considered as the extension of semi groups on the nontrivial abelian subalgebra. Let $\mathcal{H}$ be a Hilbert space corresponding to the GNS representation con structed from $\omega$. Using the general construction method of Dirichlet form developed in [8], we construct the symmetric Markovian semigroup $\{T_t\}{_t_\geq_0}$ on $\mathcal{H}$. The semigroup $\{T_t\}{_t_\geq_0}$ acts separately on two subspaces $\mathcal{H}_d$ and $\mathcal{H}_{od}$ of $\mathcal{H}$, where $\mathcal{H}_d$ is the diagonal subspace and $\mathcal{H}_{od}$ is the off-diagonal subspace, $\mathcal{H}=\mathcal{H}_d\;{\bigoplus}\;\mathcal{H}_{od}$. The restriction of the semigroup $\{T_t\}{_t_\geq_0}$ on $\mathcal{H}_d$ is Glauber dynamics, and for any ${\eta}{\in}\mathcal{H}_{od}$, $T_t{\eta}$, decays to zero exponentially fast as t approaches to the infinity.

이점 대각 이차 근사화(TDQA) 기법을 적용한 최적설계 (Design Optimization Using Two-Point Diagonal Quadratic Approximation(TDQA))

  • 김민수;김종립;최동훈
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 춘계학술대회논문집C
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    • pp.386-391
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    • 2001
  • This paper presents a new two-point approximation method based on the exponential intervening variable. To avoid the lack of definition of the conventional exponential intervening variables due to zero- or negative-valued design variables the shifting level into each exponential intervening variable is introduced. Then a new quadratic approximation, whose Hessian matrix has only diagonal elements of different values, is proposed in terms of these intervening variables. These diagonal elements are computed in a closed form, which correct the typical error in the approximate gradient of the TANA series due to the lack of definition of exponential type intervening variables and their incomplete second-order terms. Also, a correction coefficient is multiplied to the pre-determined quadratic term to match the value of approximate function with that of the original function at the previous point. Finally, the authors developed a sequential approximate optimizer, solved several typical design problems used in the literature and compared these optimization results with those of TANA-3. These comparisons show that the proposed method gives more efficient and reliable results than TANA-3.

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Diagonal bracing of steel frames with multi-cable arrangements

  • Husem, Metin;Demir, Serhat;Park, Hong G.;Cosgun, Suleyman I.
    • Structural Engineering and Mechanics
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    • 제59권6호
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    • pp.1121-1137
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    • 2016
  • A large number of structure in the world were build with poor seismic details, with or without any lateral load resisting system like concentrically braced frames and steel plate shear walls. These structures can reveal deteriorating hysteretic behaviors with stiffness and strength degradation. Therefore, seismic retrofitting of such structures for drift control has vital importance. In this study a retrofit methodology has been developed, which involves diagonal bracing of steel frames with different cable arrangements. In the experimental and numerical program 5 different lateral load resisting system were tested and results compared with each other. The results indicated that multi-cable arrangements suggested in this study showed stable ductile behavior without any sudden decrease in strength. Due to the usage of more than one diagonal cable, fracture of any cable did not significantly affect the overall strength and deformation capacity of the system. In cable braced systems damages concentrated in the boundary zones of the cables and beams. That is why boundary zone must have enough stiffness and strength to resist tension field action of cables.

Evaluation of seismic criteria of built-up special concentrically braced frames

  • Izadi, Amin;Aghakouchak, Ali A.
    • Steel and Composite Structures
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    • 제29권1호
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    • pp.23-37
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    • 2018
  • In this paper, seismic provisions related to built-up special concentrically braced frames (BSCBFs) are investigated under cyclic loading using non-linear finite element analysis of a single-bay single-story frame. These braces, which contain double angle and double channel brace sections, are considered in two types of single diagonal and X-braced frames. The results of this study show that current seismic provisions such as observing the 0.4 ratio for slenderness ratio of individual elements between stitch connectors are conservative in BSCBFs, and can be increased according to the type of braces. Furthermore, such increments will lead to decreasing or remaining the current middle protected zone requirements of each BSCBFs. Failure results of BSCBFs, which are related to the plastic equivalent strain growth of members and ductility capacity of the models, show that the behaviors of double channel back-to-back diagonal braces are more desirable than those of similar face-to-face ones. Also, for double angle diagonal braces, results show that the failure of back-to-back BSCBFs occurs faster in comparison with face-to-face similar braces. In X-braced frames, cyclic and failure behaviors of built-up face-to-face models are more desirable than similar back-to-back braces in general.