• Title/Summary/Keyword: Linear Models

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Isogeometric Analysis of Mindlin Plate Structures Using Commercial CAD Codes (상용 CAD와 연계한 후판 구조의 아이소-지오메트릭 해석)

  • Lee, Seung-Wook;Koo, Bon-Yong;Yoon, Min-Ho;Lee, Jae-Ok;Cho, Seon-Ho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.24 no.3
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    • pp.329-335
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    • 2011
  • The finite element method (FEM) has been used for various fields like mathematics and engineering. However, the FEM has a difficulty in describing the geometric shape exactly due to its property of piecewise linear discretization. Recently, however, a so-called isogeometric analysis method that uses the non-uniform rational B-spline(NURBS) basis function has been developed. The NURBS can be used to describe the geometry exactly and play a role of basis functions for the response analysis. Nevertheless, constructing the NURBS basis functions in analysis is as costly as a meshing process in the FEM. Since the isogeometric method shares geometric data with CAD, it is possible to intactly import the model data from commercial CAD tools. In this paper, we use the Rhinoceros 3D software to create CAD models and export in the form of STEP file. The information of knot vectors and control points in the NURBS is utilized in the isogeometric analysis. Through some numerical examples, the accuracy of isogeometric method is compared with that of FEM. Also, the efficiency of the isogeometric method that includes the CAD and CAE in a unified framework is verified.

Preliminary three-dimensional analysis of tooth movement and arch dimension change of the maxillary dentition in Class II division 1 malocclusion treated with first premolar extraction: conventional anchorage vs. mini-implant anchorage

  • Park, Heon-Mook;Kim, Byoung-Ho;Yang, Il-Hyung;Baek, Seung-Hak
    • The korean journal of orthodontics
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    • v.42 no.6
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    • pp.280-290
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    • 2012
  • Objective: This study aimed to compare the effects of conventional and orthodontic mini-implant (OMI) anchorage on tooth movement and arch-dimension changes in the maxillary dentition in Class II division 1 (CII div.1) patients. Methods: CII div.1 patients treated with extraction of the maxillary first and mandibular second premolars and sliding mechanics were allotted to conventional anchorage group (CA, n = 12) or OMI anchorage group (OA, n = 12). Pre- and post-treatment three-dimensional virtual maxillary models were superimposed using the best-fit method. Linear, angular, and arch-dimension variables were measured with software program. Mann-Whitney U-test and Wilcoxon signed-rank test were performed for statistical analysis. Results: Compared to the CA group, the OMI group showed more backward movement of the maxillary central and lateral incisors and canine (MXCI, MXLI, MXC, respectively; 1.6 mm, p < 0.001; 0.9 mm, p < 0.05; 1.2 mm, p < 0.001); more intrusion of the MXCI and MXC (1.3 mm, 0.5 mm, all p < 0.01); less forward movement of the maxillary second premolar, first, and second molars (MXP2, MXM1, MXM2, respectively; all 1.0 mm, all p < 0.05); less contraction of the MXP2 and MXM1 (0.7 mm, p < 0.05; 0.9 mm, p < 0.001); less mesial-in rotation of the MXM1 and MXM2 ($2.6^{\circ}$, $2.5^{\circ}$, all p < 0.05); and less decrease of the inter-MXP2, MXM1, and MXM2 widths (1.8 mm, 1.5 mm, 2.0 mm, all p < 0.05). Conclusions: In treatment of CII div.1 malocclusion, OA provided better anchorage and less arch-dimension change in the maxillary posterior teeth than CA during en-masse retraction of the maxillary anterior teeth.

The Statistical Model of Fourier Acceleration Spectra according to Seismic Intensities for Earthquakes in Korea (국내 지진의 진도별 가속도 푸리에스펙트럼 통계모델)

  • Yun, Kwan-Hee;Pakr, Dong-Hee;Park, Se-Moon
    • Journal of the Earthquake Engineering Society of Korea
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    • v.13 no.6
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    • pp.11-25
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    • 2009
  • A method of instrumentally estimating the seismic intensity (MMI) based on Fourier Acceleration Spectrum, which is the so-called 'FAS MMI method' of Sokolov and Wald (2002), was considered for its applicability to Korea. In order to implement the FAS MMI method, the empirical models of mean (m) and standard deviation (${\sigma}$) for Korea were derived for MMI ${\leq}$ IV according to individual seismic intensity by using the site-consistent horizontal FAS of 580 records from 65 isoseismal maps prepared based on the reported MMI of Korea Meteorological Administration. The site-consistent FAS at a site were obtained by correcting the observed FAS for the difference of the site amplification function relative to that of the target site of Class D station (Yun and Suh, 2007) which was evaluated to be a representative site for the generic soil profile of Korea. The FAS m model for MMI ${\leq}$ IV follows the overall linear relation in log space according to seismic intensities, featuring the FAS mean model for MMI = IV similar to that of the global model of Sokolov and Wald (2002). The ${\sigma}$-values of the FAS model are found to be greater than those of the global model for MMI ${\geq}$ V, while significantly lower than those of the global model for MMI = IV.

Estimation of Pedestrian Capacity for Walkway (보행자 도로의 용량산정)

  • 임정실;오영태
    • Journal of Korean Society of Transportation
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    • v.20 no.1
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    • pp.91-99
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    • 2002
  • The purpose of in this paper is to estimate the capacity and to suggest the level of service for pedestrian walkway. To estimate the pedestrian walkway capacity, Pedestrian density and speed were collected at the walkways in the subway station and the sidewalks. The simple linear repression of pedestrian density and speed models were developed for the relationships between the pedestrian flow rate and the pedestrian speed. The analysis results are as follow : First. the ranges of capacity for walkway were found minimum 106p/m/m and maximum 126p/m/m. The capacity of walkway was suggested to 106p/m/m for 2001 KHCM. Second, it found that the range of the critical speeds were between 40m/minute and 43m/minute and the range of the critical densities were between 2.65 p/$m^2$ and 2.85 p/$m^2$. Third, the range of level of service are similar to that of the 2,000 US HCM. This study suggests that occupancy, density and speed at Los E use 0.38$m^2$/p, 2.6 p/$m^2$ and 40m/minute respectively.

Development of Korean Pedestrian Accident Reconstruction Model (한국형 보행자 사고재현 모형 개발에 관한 연구)

  • Lee, Su-Beom;Lui, Tae-Sun
    • Journal of Korean Society of Transportation
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    • v.23 no.6 s.84
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    • pp.103-113
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    • 2005
  • A pedestrian accident is generally less fully understood than the 'typical' car-to-car collision. For this reason, the analysis of the pedestrian accident is, in many respects, more complicated and demanding. The purpose of this study is to identify clearly the impact point that is the main subject of struggle in pedestrian accidents. In order to develop the model, it is very significant to classify actual accident data including impact velocity. vehicle damage and injury scale of pedestrian. These data were collected from three local branches of RTSA(Road Traffic Safely Authority). The number of collected data were 34 cases and 61.7% of them were fatal accidents. In consequence of analyzing the data by statistical method, it revealed that there is correlation between impact velocity and throw distance. It, also shows that the impact velocity has strong linear correlation to vehicle damage and injury scale. Consequently, reconstruction analysis models of pedestrian accidents considering in local circumstances(such as the physical characteristics of pedestrians and vehicles) was developed However. it is difficult to apply the result of this study to all sorts of pedestrian accidents, because the actual accident data which were used to develop the model were limited. To overcome this limitation, it is necessary to develop an analysis model applicable to diverse circumstances with a wide range of pedestrian accident data on a national basis.

Effect of IVM Medium and Protein Source on In Vitro Maturation of Canine Oocytes

  • Lee, Hyo-Sang;Yin, Xi-Jun;Lee, Young-Ho;Chun, Se-Jin;Suh, Young-Il;Park, Keum-Ju;Seo, Jin-Sung;Jo, Su-Jin;Kong, Il-Keun
    • Proceedings of the Korean Society of Developmental Biology Conference
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    • 2003.10a
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    • pp.123-123
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    • 2003
  • This study was conducted to determine the ability of nuclear development of canine oocytes depend on the kind of maturation media and addition of serum sources. Ovaries were collected from a bitches at various stages of estrus cycle by an ovariohysterectomy. Oocytes were collected of cumulus oocytes complexes after slicing of ovaries with blade. The maturation medium was containing 0.6 mM/ml cysteine, 0.2 mM pyruvic acid, 20 ng/ml $E_2$ and 1 $\mu g/ml$ rbST Exp. 1, the oocytes were matured in four different maturation medium as follows: 1) TCM-199, 2) DMEM, 3) NCSU37 and 4) modified-NCSU37 with 10% FBS. Exp. 2: the oocytes were matured in mNCSU37 supplemented with different protein sources (10% FBS, 10% EDS, 0.3% BSA and 0.1% PVA) to select the optimal one. Oocytes were matured in a humidified atmosphere containing 5% $CO_2$ at $39{\circ}C$ for 72 hrs. The maturation rate were analyzed by Duncan's multiple range test using General Linear Models procedure in SAS. The rates of meiotic resumption to MI-MII depend on different culture media were achieved with TCM-199 (5.2%), DMEM (5.0%), NCSU37 (7.2%) and m-NCSU37 (5.9%), respectively. The rates of meiotic resumption to MI-MII according to addition of protein source were 10% FBS (13.3%), 10% EDS (25.0%), 0.3% BSA (25.0%) and 0.1% PVA (15.4%), respectively. In conclusion, the results obtained showed that in vitro maturation media and protein supplement to m-NCSU37 culture medium tested did not promote the final steps of IVM in canine oocytes.

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Effect of Ovary Transport Temperature on Survivability and Maturation Rate of Canine Oocytes

  • Lee, Young-Ho;Lee, Hyo-Sang;Yin, Xi-Jun;Chun, Se-Jin;Suh, Young-Il;Park, Keum-Ju;Seo, Jin-Sung;Jo, Su-Jin;Kong, Il-Keun
    • Proceedings of the Korean Society of Developmental Biology Conference
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    • 2003.10a
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    • pp.122-122
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    • 2003
  • This study examined the viability of canine oocytes following storage at 4 or $38{\circ}C$ for 5 hrs. The ovaries were collected from domestic dog following ovariohysterectomy at a local veterinary clinics and transported to laboratory In two different transport temperature at 4 or $38{\circ}C$ within 5 hrs. The cumulus oocyte complexes (COCs) were recovered after slicing with blade. In Exp. 1, the oocytes collected were matured in DMEM supplemented with l0% FBS, 0.6 mM/mlcysteine, 0.2 mM Pyruvic acid, 20 ng/ml $E_2$ and 1 $\mu g/ml$ rbST at humidified atmosphere containing 5% $CO_2 38{\circ}C$ for 24 or 48 hrs to analysis of survivability. In Exp 2, to assess nuclear development at 38{\circ}C$ group, the oocytes were matured in maturation medium for 24, 48 or 96 hrs. Survivability was judged by a morphological appearance and PI staining. Survivability rates were analyzed by General Linear Models procedure in SAS. The survival rates at 4{\circ}C$ ovary transport group showed significantly lower than at 38{\circ}C$ group (0 vs 72.9% in 48 hrs and 13.2 vs 77 8% in 24 hrs; P<0.05). The nuclear development of oocytes to MI to MII stages at 24, 48 and 96 hrs was 8.3% (6/72), 8.9% (9/101), and 9.5% (8/84). These results showed that the canine oocytes were remarkably sensitive to a low temperature and did not increase nuclear development rate depend on maturation time to 96 hrs.

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INFLUENCE OF IMPLANT-ABUTMENT INTERFACE DESIGN, IMPLANT DIAMETER AND PROSTHETIC TABLE WIDTH ON STRENGTH OF IMPLANT-ABUTMENT INTERFACE : THREE-DIMENSIONAL FINITE ELEMENT ANALYSIS (임플랜트의 지대주 연결방식, 임플랜트의 직경 및 지대주 연결부위의 직경 차이에 따른 응력분포에 관한 삼차원 유한요소분석)

  • Oh Se-Woong;Yang Jae-Ho;Lee Sun-Hyung;Han Jung-Suk
    • The Journal of Korean Academy of Prosthodontics
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    • v.41 no.4
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    • pp.393-404
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    • 2003
  • Statement of problem. Higher incidence of prosthetic complications such as screw loosening, screw fracture has been reported for posterior single tooth implant. So, there is ongoing research regarding stability of implant-abutment interface. One of those research is increasing the implant diameter and prosthetic table width to improve joint stability. In another part of this research, internal conical type implant-abutment interface was developed and reported joint strength is higher than traditional external hex interface. Purpose. The purpose of this study is to compare stress distribution in single molar implant between external hex butt joint implant and internal conical joint implant when increasing the implant diameter and prosthetic table width : 4mm diameter, 5mm diameter, 5mm diameter/6mm prosthetic table width. Material and method. Non-linear finite element models were created and the 3-dimensional finite element analysis was performed to see the distribution of stress when 300N static loading was applied to model at $0^{\circ},\;15^{\circ},\;30^{\circ}$ off-axis angle. Results. The following results were obtained : 1. Internal conical joint showed lower tensile stress value than that of external hex butt joint. 2. When off-axis loading was applied, internal conical joint showed more effective stress distribution than external hex butt joint. 3. External hex butt joint showed lower tensile stress value when the implant diameter was increased. 4. Internal conical joint showed lower tensile stress value than external hex butt joint when the implant diameter was increased. 5. Both of these joint mechanism showed lower tensile stress value when the prosthetic table width was increased. Conclusion. Internal conical joint showed more effective stress distribution than external hex joint. Increasing implant diameter showed more effective stress distribution than increasing prosthetic table width.

An Effect of Uplift Pressure Applied to Concrete Gravity Dam on the Stress Intensity Factor (중력식 콘크리트 댐에 작용하는 양압력이 응력확대계수에 미치는 영향)

  • Lee Young-Ho;Jang Hee-Suk;Kim Tae-Wan;Jin Chi-Sub
    • Journal of the Korea Concrete Institute
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    • v.16 no.6 s.84
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    • pp.841-850
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    • 2004
  • The modeling of uplift pressure within dam, on the foundation on which it was constructed, and on the interface between the dam and foundation is a critical aspect in the analysis of concrete gravity dams, i.e. crack stability in concrete dam can correctly be predicted when uplift pressures are accurately modelled. Current models consider a uniform uplift distribution, but recent experimental results show that it varies along the crack faces and the procedures for modeling uplift pressures are well established for the traditional hand-calculation methods, but this is not the case for finite element (FE) analysis. In large structures, such as dams, because of smaller size of the fracture process zone with respect to the structure size, limited errors should occur under the assumptions of linear elastic fracture mechanics (LEFM). In this paper, the fracture behaviour of concrete gravity dams mainly subjected to uplift Pressure at the crack face was studied. Triangular type, trapezoidal type and parabolic type distribution of the uplift pressure including uniform type were considered in case of evaluating stress intensity factor by surface integral method. The effects of body forces, overtopping pressures are also considered and a parametric study of gravity dams under the assumption of LEFM is performed.

Quantitative evaluation and affecting factors of post-treatment relapse tendency (교정치료 후 나타나는 재발 경향에 대한 정량적 평가와 영향을 미치는 요소에 대한 연구)

  • Son, Woo-Sung;Cha, Kyung-Suk;Chung, Dong-Hwa;Kim, Tae-Woo
    • The korean journal of orthodontics
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    • v.41 no.3
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    • pp.154-163
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    • 2011
  • Objective: The purpose of this study was to quantitatively evaluate relapse tendency after orthodontic treatment and determine the contributing factors by using the American Board of Orthodontics objective grading system (ABO-OGS). Methods: The subjects were 80 patients with more than 2 years of retention period after completing orthodontic treatment at the dental hospitals of Busan University, Kyunghee University, and Dankook University. The posttreatment (T2) and post-retention (T3) ABO-OGS measurements were analyzed in relation to age, gender, Angle's classification, extraction, retention period, and pretreatment condition (initial peer assessment rating (PAR) index, T1) by multiple regression analysis. Results: Among the 7 ABO-OGS criteria, alignment worsened but occlusal contact and interproximal contact improved in T3, but not in T2 ($p$ < 0.01). The 4 other criteria showed no significant differences. Multiple regression analysis showed that alignment, occlusal relationship, overjet, and interproximal contact were significant linear models, but with a low explanation power. Age, gender, Angle's classification, extraction, retention period, and pretreatment condition (initial PAR index, T1) had little influence on the ABO-OGS changes between T3 and T2. Conclusions: An orthodontist's understanding of posttreatment relapse tendency can be useful in diagnosis and during patient consultation.