• Title/Summary/Keyword: Bi-Objective

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Topology optimization of variable thickness Reissner-Mindlin plate using multiple in-plane bi-directional functionally graded materials

  • Nam G. Luu;Thanh T. Banh;Dongkyu Lee
    • Steel and Composite Structures
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    • v.48 no.5
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    • pp.583-597
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    • 2023
  • This paper introduces a novel approach to multi-material topology optimization (MTO) targeting in-plane bi-directional functionally graded (IBFG) non-uniform thickness Reissner-Mindlin plates, employing an alternative active phase approach. The mathematical formulation integrates a first shear deformation theory (FSDT) to address compliance minimization as the objective function. Through an alternating active-phase algorithm in conjunction with the block Gauss-Seidel method, the study transforms a multi-phase topology optimization challenge with multi-volume fraction constraints into multiple binary phase sub-problems, each with a single volume fraction constraint. The investigation focuses on IBFG materials that incorporate adequate local bulk and shear moduli to enhance the precision of material interactions. Furthermore, the well-established mixed interpolation of tensorial components 4-node elements (MITC4) is harnessed to tackle shear-locking issues inherent in thin plate models. The study meticulously presents detailed mathematical formulations for IBFG plates in the MTO framework, underscored by numerous numerical examples demonstrating the method's efficiency and reliability.

A study on the characteristics of low Pb Sn-5%Pb-1.5%Ag-x%Bi solder alloys (저Pb Sn-5%Pb-1.5%Ag-x%Bi계 솔더 합금의 특성에 관한 연구)

  • 홍순국;주철홍;강정윤;김인배
    • Journal of Welding and Joining
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    • v.16 no.3
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    • pp.157-166
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    • 1998
  • Recently as environmental pollution caused by Pb has posed a serious threat to the global environment, the trend to regulate the usage of Pb in electronic industry is one the rise. Currently, the solder alloy with high Pb content, Sn-37%Pb, is utilized in the electronic assembly therefore, the objective of this study is to develop an alternative solder alloy for the existing Sn-37%Pb solder alloy. First thing, this work choosed Sn-5%Pb-1.5%Ag, Sn-5%Pb-1.5%Ag-x%Bi(x=1~5%) for candidate solder alloys, and examined their properties such as melting range, wettability, microhardness, tensile property, oxidation behavior and microstructure. Wettability was on the same level of Sn-37%Pb. Dissolution of Pb ion in Sn-5%Pb solder was 0.46ppm. This solder alloy revealed cellular dendrite microstructure $\beta$-Sn matrix, Pb-rich phase, Ag/Sn, and Cu/Sn Intermetallic compounds. The range of solidification temperature was within 3$0^{\circ}C$. Also these alloy displayed higher tensile strength and lower elongation than Sn-37%Pb. The resistance of oxidation in Sn-5%Pb-1.5%Ag solder alloy was superior to that of Sn-37%Pb solder alloy. But that of Sn-5%Pb-1.5%Ag-5%Bi solder alloy was equal to that of Sn-37%Pb solder alloy.

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The smooth topology optimization for bi-dimensional functionally graded structures using level set-based radial basis functions

  • Wonsik Jung;Thanh T. Banh;Nam G. Luu;Dongkyu Lee
    • Steel and Composite Structures
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    • v.47 no.5
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    • pp.569-585
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    • 2023
  • This paper proposes an efficient approach for the structural topology optimization of bi-directional functionally graded structures by incorporating popular radial basis functions (RBFs) into an implicit level set (ILS) method. Compared to traditional element density-based methods, a level set (LS) description of material boundaries produces a smoother boundary description of the design. The paper develops RBF implicit modeling with multiquadric (MQ) splines, thin-plate spline (TPS), exponential spline (ES), and Gaussians (GS) to define the ILS function with high accuracy and smoothness. The optimization problem is formulated by considering RBF-based nodal densities as design variables and minimizing the compliance objective function. A LS-RBF optimization method is proposed to transform a Hamilton-Jacobi partial differential equation (PDE) into a system of coupled non-linear ordinary differential equations (ODEs) over the entire design domain using a collocation formulation of the method of lines design variables. The paper presents detailed mathematical expressions for BiDFG beams topology optimization with two different material models: continuum functionally graded (CFG) and mechanical functionally graded (MFG). Several numerical examples are presented to verify the method's efficiency, reliability, and success in accuracy, convergence speed, and insensitivity to initial designs in the topology optimization of two-dimensional (2D) structures. Overall, the paper presents a novel and efficient approach to topology optimization that can handle bi-directional functionally graded structures with complex geometries.

Improvement of the Resistivity in High Field for the New Piezoelectric Compositions in the Bi(NiaX1-a)O3-PbTiO3(X=Ti,Nb) System (Bi(NiaX1-a)O3-PbTiO3 계 압전 신조성(X-Ti,Nb)의 내전압 특성 향상)

  • Choi, Soon-Mok;Seo, Won-Seon
    • Journal of the Korean Ceramic Society
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    • v.45 no.4
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    • pp.220-225
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    • 2008
  • Lead-free ferroelectric ceramics are widely researched today for industrial applications as sensors, actuators and transducers. Since $Pb(Zr_aTi_{1-a})O_3$-(PZT) has high Curie temperature($T_C$), high piezoelectric properties near its morphotropic phase boundary(MPB) composition and small temperature dependence electrical behavior, it has been used to commercial materials for wide temperature range and different application fields. According to the tolerance factor concept, since the $Bi^{3+}$ cation with 12-fold coordinate has a smaller ionic radius than 12-fold coordinate $Pb^{2+}$, most bismuth based perovskites possess a smaller tolerance factor. Therefore, MPBs with a higher $T_C$ may be expected in $Bi(Me^{3+})O_3PbTiO_3$ solid solutions. As in lead based perovskite systems, it is clear that we need to explore more materials in simple or complex bismuth based MPB systems. The objective of this study is to investigate the $Bi(Ni_{1_a}X_a)O_3-PbTiO_3(X=Ti^{4+},\;Nb^{5+})$ perovskite solid-solution. For improving the electronic conduction problem, the magnesium and manganese modified system was also studied.

Upper Cervical Subluxation and Cervicomedullary Junction Compression in Patients with Rheumatoid Arthritis

  • Chung, Jaewoo;Bak, Koang Hum;Yi, Hyeong-Joong;Chun, Hyoung Joon;Ryu, Je Il;Han, Myung-Hoon
    • Journal of Korean Neurosurgical Society
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    • v.62 no.6
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    • pp.661-670
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    • 2019
  • Objective : Rheumatoid arthritis (RA) is known to involve the cervical spine up to 86%. It often causes cervical instability like atlantoaxial subluxation (AAS), subaxial subluxation, and vertical subluxation (VS). In order to find the relation between RA and cord compression, we will evaluate the characteristics and risk factors of basilar invagination (BI) and cervicomedullary junction (CMJ) compression. Methods : From January 2007 to May 2015, 12667 patients administrated to Hanyang University Medical Center. Four thousand three hundred eighty-six patients took cervical X-ray and 250 patients took cervical computed tomography or magnetic resonance imaging. Radiologic parameters, medication records were obtained from 242 patients. Multivariate logistic regression analysis was performed with correlation of CMJ compression, basin-dental interval (BDI), basin-posterior axial line interval (BAI), pannus formation, BI, and AAS. Results : In the point of CMJ compression, atlantodental interval (ADI), posterior-atlantodental interval, BAI, AAS, and BI are relatively highly correlated. Patients with BI have 82 times strong possibility of radiologic confirmed CMJ compression, while AAS has 6-fold and pannus formation has the 3-fold possibility. Compared to the low incidence of BI, AAS and pannus formation have more proportion in CMJ compression. Furthermore, wrist joint erosion was correlated with VS and AAS. Conclusion : BI has a very strong possibility of CMJ compression, while AAS and pannus formation have a high proportion in CMJ compression. Hence bilateral wrist joint erosion can be used as an indicator for the timing of screening test for cervical involvement. We suggest the early recommendation of cervical spine examination for the diagnosis of cervical involvement in order to prevent morbidity and mortality.

The effects of Sam-chool-gun-bi-tang administration on urine metabolic responses during carbohydrate loading diet to long distance runners (탄수화물 부하식이요법시 삼출건비탕(蔘出健脾湯) 투여가 시합 전·후 장거리 달리기 선수의 뇨중 대사 성분 변화에 미치는 영향)

  • Han, Young-Gyu;Lee, Myeong-Jong
    • The Journal of Dong Guk Oriental Medicine
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    • v.8 no.2
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    • pp.83-96
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    • 2000
  • Objective This experimental study was designed to investigate effects of Sam-chool-gun-bi-tang administration during carbohydrate loading diet to long distance runners on changes of the urine metabolic responses. Materials and Methods All subjects were divided randomly with two groups, Sam-chool-gun- bi-tang administration Group (N=5) and control group (N=5) and attended on domestic marathon race. The urine samples were collected by 15ml conical tube at rest, a day before race, immediately after race, a day after race. These samples were used to analyze for the factors of the change on metabolic responses. At First, the factors of the routine urine test were checked; RBC, WBC, glucose, protein, ketone, bilirubin, urobilirubin. Next, the factors on the changes of the electrolyte metabolism and creatinine were checked; $Na^+ $, $Cl^-$, $K^+$, $Ca^{+ +}$, Creatinine. Results 1. Urine RBC, WBC, glucose, protein, ketone, bilirubin, urobilirubin were all denoted negatively (-). 2. Urine pH response in Sam-chool-gun-bi-tang administration group was shown significant difference between two groups at immediately after race. 3. Urine $Na^+$ response in Sam-chool-gun- bi-tang administration group was shown significant difference between two groups at immediately after race. 4. Urine $K^+$ response in Sam-chool-gun-bi-tang administration group was shown significant difference between two groups at immediately after race and a day after race. 5. Urine $Cl^-$ response in Sam-chool-gun- bi-tang administration group was increased at immediately after race, but was not shown significant difference between two groups. 6. Urine $Ca^{+ +}$ response in Sam-chool-gun-bi-tang administration group was decreased gradually, but was not shown significant difference between two groups. 7. Urine Creatinine response in Control group was decreased significantly at immediately after race, but was not shown significant difference between two groups. Conclusion According to the above results, it was shown that Sam-chool-gun- bi-tang administration had the positive effects on changes of the urine matabolic responses during carbohydrate loading diet to the long distance runners.

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A Model and Algorithm for Optimizing the Location of Transit Transfer Centers (대중교통 환승센터 입지선정 모형 연구)

  • Yoo, Gyeong-Sang
    • Journal of Korean Society of Transportation
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    • v.30 no.1
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    • pp.125-133
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    • 2012
  • This paper deals with the passenger transfer trips counted from smart bus-card data from Seoul transit network to understand the current operational condition of the system. Objective of this study is to relocate the location of the transit transfer centers. It delivers a bi-level programing model. The upper model is a linear 0-1 binary integer program having the objective of total travel cost minimization constrained by the number of transfer centers and the total construction budget. The lower model is an user equilibrium assignment model determining the passengers' route choice according to the transfer center locations. The proposed bi-level programming model was tested in an example network. The result showed that the proposed was able to find the optimal solution.

The Study of Verification Bi-Digital O-Ring Test by gauges (계측기(計測器)를 이용한 O-Ring Test법(法)의 검증(檢證)에 관(關)한 연구(硏究))

  • Kim, Jeong-Ryeol;Kim, Dal-Rae
    • The Journal of Korean Medicine
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    • v.16 no.2 s.30
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    • pp.225-247
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    • 1995
  • Using Bi-Digital O-Ring Test which was developed by Ohmura Toshiaki, constiution classification by the vegetables' was Measured by various muscle power measurement meters and the results are as follow: 1. Pinch Gauge (Model:pc5030HPG, Japan) is the gauge to measure finger power between the thumb and the second finger, Grip Strength Dynamometer (Model: T.K.K. 5101, Japan) is to measure the hand power (hand dynamometer), Back Strength Dynamometer (Model: T.K.K. 5102, Japan) is to measure back muscle strength, Vertical jump Meter (Model: T.K.K. 5106, Japan) is to measure the height of jump. The above gauges were and its result found that the radish, potato, carrot and cucumber can influence to muscle strength was not true. 2. When the physical constitution is distinguished by the O-Ring Test method, Taeyangin's rate appeared as average 21% although it was insisted that there will be only 0.03-0.1%. This means that the physical constitution but it appears accidently according to the examinee's emotion about the material such as vegetable etc. as favor or unfavor. 3. It was found that the result of O-Ring Test is the same at any time and at any place was not true. there is no reemergence character. 4. The import of O-Ring Test mehtod to the physical discrimination disregarded that the mental factor influences absolutely to the physical heath in the ideological physi cal constitution medical science. 5. 'O-Ring Test method is a objective judgement method.' is wrong judgement. As you see on the above result, Bi-Digital O-Ring Test set the changeable voluntary muscle as the standard of the judgument, that was first mistake logically, second in spite of leass influence of mental influence by the examiner and examinee than the vegetable discrimination influence, the test disregarded the influence. Third, only grasp of some material on hand can influence to the voluntary muscle was a wrong theory disregarding the physiology. Finally the misunderstaning his subjective view as an objective view in spite of examiner and examinee's strong influence. Therefore such kind of physical descrimination method must be sublated.

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The study on the origin of Shi-Dong-Ze-Bing and Shi-Zhu-Mou-Suo-Sheng-Bing (고대(古代) 경맥병증체계(經脈病證體系)에 있어서 "시동칙병(是動則病)"과 "시주모소생병(是主某所生病)"의 연원(淵源)에 관한 연구(硏究))

  • Hwang, Min-Seop;Sohn, Sung-Chul;Bae, Dae-Young;Kim, Kap-Sung;Yoon, Jong-Hwa
    • Journal of Acupuncture Research
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    • v.19 no.2
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    • pp.14-27
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    • 2002
  • Objective : The aim of this study is to reveal the meaning of Shi-Dong-Bing and Suo-Sheng-Bing through investigating the origin of Shi-Dong-Bing and Suo-Sheng-Bing. Methods : We analyzed and compared the meridian symptoms of "ju Bi Shi Yi Mai Jiu Jing, "Ju Bi", "Yin Yang Shi Yi Mai Jiu Jing" and "Lin Shu Jing Mai". Results : Suo-Sheng-Bing seems to have been originated from the meridian symptoms of "Ju Bi" and Shi-Dong-Bing is different from the meridian symptoms of "Ju Bi". therefore two meridian symptoms differ in the source of formation and they seems to be different concerning recognition system for disease. Conclusion : Shi-Dong-Bing is the meridian symptoms, in case of feeling abnormal beat by pulse diagnosis, and this pulse diagnosis method is comparative pulse diagnosis method that compare all the pulse point of every meridians. Suo-Sheng-Bing seems to be the meridian symptoms describing the disease of somatic surface with making reference to meridian-circulating positions, afterward have been increased to the related internal organ's disease.

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