• Title/Summary/Keyword: saddle

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THE PSEUDO ORBIT TRACING PROPERTY AND EXPANSIVENESS ON UNIFORM SPACES

  • Lee, Kyung Bok
    • Journal of the Chungcheong Mathematical Society
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    • 제35권3호
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    • pp.255-267
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    • 2022
  • Uniform space is a generalization of metric space. The main purpose of this paper is to extend several results contained in [5, 6] which have for an expansive homeomorphism with the pseudo orbit tracing property(POTP in short) on a compact metric space (X, d) for an expansive homeomorphism with the POTP on a compact uniform space (X, 𝒰). we characterize stable and unstable sets, sink and source and saddle, recurrent points for an expansive homeomorphism which has the POTP on a compact uniform space (X, 𝒰).

ON THE LINEAR INDEPENDENCE MEASURES OF LOGARITHMS OF RATIONAL NUMBERS. II

  • Abderraouf Bouchelaghem;Yuxin He;Yuanhang Li;Qiang Wu
    • Journal of the Korean Mathematical Society
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    • 제61권2호
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    • pp.293-307
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    • 2024
  • In this paper, we give a general method to compute the linear independence measure of 1, log(1 - 1/r), log(1 + 1/s) for infinitely many integers r and s. We also give improvements for the special cases when r = s, for example, ν(1, log 3/4, log 5/4) ≤ 9.197.

Effects of Inlet Water Temperature and Heat Load on Fan Power of Counter-Flow Wet Cooling Tower (입구 물온도와 열부하가 냉각탑의 팬동력에 미치는 영향 분석)

  • Nguyen, Minh Phu;Lee, Geun Sik
    • Transactions of the Korean Society of Mechanical Engineers B
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    • 제37권3호
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    • pp.267-273
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    • 2013
  • In order to provide effective operating conditions for the fan in a wet cooling tower with film fill, a new program to search for the minimum fan power was developed using a model of the optimal total annual cost of the tower based on Merkel's model. In addition, a type of design map for a cooling tower was also developed. The inlet water temperature and heat load were considered as key parameters. The present program was first validated using several typical examples. The results showed that for a given heat load, a three-dimensional graph of the fan power (z-axis), mass flux of air (x-axis, minimum fan power), and inlet water temperature (y-axis, maximum of minimum fan power) showed a saddle configuration. The minimum fan power increased as the heat load increased. The conventionally known fact that the most effective cooling tower operation coincides with a high inlet water temperature and low air flow rate can be replaced by the statement that there exists an optimum mass flux of air corresponding to a minimum fan power for a given inlet water temperature, regardless of the heat load.

Seismic Analysis of 30/5 Ton Overhead Crane for 30MWTh Korea Multipurpose Research Reactor (KMRR) (다목적연구용 원자로의 30/5 톤 천정크레인에 대한 지진해석에 관한 연구)

  • Yoo, Bong;Suh, Ki-Suk;Chu, Yong-Sun;Hong, Sung-In
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 한국전산구조공학회 1991년도 가을 학술발표회 논문집
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    • pp.111-114
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    • 1991
  • The KMRR 4-wheel crane which has a span of 30.6m long shall be designed to maintain its structural integrity during and after seismic shocks. Horizontal and vertical FRS for OBE and SSE conditions at the crane support are after seismic shock. Horizontal and vertical FRS for analysis are 4% for OBE and 7% for SSE. The crane consists of girder, saddle main and auxiliary trolley, and necessaries. They are modeled as beam elements and lumped masses for the following 4 cases ; trolley at center of the crane with and without the rated load, trolley at end with and without the rated load. The static analysis as well as the linear dynamic analysis including frequency and response spectrum analysis are performed for the seismic qualification of the crane using the Finite Element Method. For the simplicity of the analysis, the decoupling criteria are considered for the crane rope and the crane supporting beams. The main sections of the crane are stiffened until the calculated stresses satisfy the allowable limits. The seismic resultant loads are used to design the seismic restraints of the saddle and the trolley to protect the clue from the seismic uplifting loads the study results have show that the seismic design of the KMRR crane is governed by the OBE condition. not by the SSE condition. This paper briefly describes the analysis procedure used in the seismic design of the KMRR crane, and summarizes the analysis results.

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Lumbar Disc Herniation Presenting Cauda Equina Syndrome

  • Kim, Tae-Wan;Yoon, Jae-Woong;Heo, Weon;Park, Hwa-Seung;Rhee, Dong-Youl
    • Journal of Korean Neurosurgical Society
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    • 제39권1호
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    • pp.40-45
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    • 2006
  • Objective : To determine the relationship between the clinical outcome and the extent of surgical laminectomy for adequate decompression on the cases of cauda equina syndrome, the authors review and analyze their cases and compared with those of literatures. Methods : The authors reviewed 655 patients retrospectively who had underwent surgery on the cases of lumbar disc herniation from January 2000 to December 2004. There were 19 patients [2.9%] who presented for clinical cauda equina syndrome. Among them, we selected and analyzed 15 patients who were treated by unilateral partial hemilaminectomy with discectomy or bilateral partial laminectomy with discectomy, and they had been followed from 5 weeks to 47 months postoperatively [mean, 13.47 months]. The levels of the disc herniations were L4-5 in 8 patients, following L5-S1 in 4 patients and 2 levels [L4-5 and L5-S1] in 3 patients. Motor and sensory recoveries were recorded. Postoperative urinary function recovery Was defined according to Gleave and Macfarlane. Results : In 12 months postoperatively, the bladder function was obtained in 14 of 15 patients[93%] with regaining urinary continence. Thirteen of 15 patients[86%] with preoperative motor weakness of lower extremities were recovered. Sensory deficit of lower extremities, perianal and saddle anesthesia were all recovered. Patients had recovered on lumbosciatic pain and saddle hypesthesia, in turn, motor function and urinary incontinence. Conclusion : In treating cauda equina syndrome, the authors did less extensive surgery, such as unilateral partial hemilaminectomy with discectomy or bilateral partial laminectomy with discectomy for adequate decompression. The outcome is satisfactory and comparable with those of subtotal or total laminectomy.

Study on Characteristics of Maxillofacial Growth in Class III Malocclusion Patients by Cranial Base Growth (3급 부정교합 환자에서 두개저 성장 양상에 따른 악골 성장 특성에 관한 연구)

  • Son, Do-Kyoung;Park, Sung-Won;Lee, Jae-Min;Kim, Eun-Ja;Choi, Sang-Mun;Kim, Young-Woon;Choi, Mun-Gi;Oh, Sung-Hwan
    • Maxillofacial Plastic and Reconstructive Surgery
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    • 제33권6호
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    • pp.483-489
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    • 2011
  • Purpose: Craniofacial structure form results from the adaptation to morphologic and functional changes in their neighboring structures for a mutual balance. The purpose of this study is classification of maxillomandibular complex growth pattern follow by cranial base growth pattern. And this study is identifying the correlation between maxilla-mandibular complex growth pattern and orthodontic criteria. Methods: 142 Class III malocclusion patients had orthognathic surgery at Wonkwang University Dental Hospital during April 2004 to October 2010. Patients were divided into 4 groups and the correlation between cranial base and maxillomandibular growth patterns were evaluated. Results: There was a correlation between cranial base and maxillomandibular growth patterns. Positive relationships were found between the occlusal plane, Incisor mandibular plane angle, mandibular plane, positioning of pogonion and the saddle angle, indicating maxillary growth patterns. Negative relationships were found between SNA, SNB, maxillary incisor angle and saddle angle. Positive relationships were found between the ratio of the anterior and posterior cranium, positioning of pogonion and the percentage of cranial depth indicating mandibular growth patterns. Negative relationships were found between the occlusal plane, maxillary incisor angle, mandibular plane, mandibular angle and cranial depth. Conclusion: Cranial base and maxillofacial growth patterns were correlated and the classification should be adjusted before orthognathic surgery.

Study of the semi-segregation algorithms of the incompressible Navier-Stokes equations using P2P1 finite element formulation (P2P1 유한요소 공식을 이용한 비압축성 Navier-Stokes 방정식의 반-분리 해법에 관한 연구)

  • Cho, Myung-H.;Choi, Hyoung-G.;Yoo, Jung-Y.;Park, Jae-I.
    • 유체기계공업학회:학술대회논문집
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    • 유체기계공업학회 2006년 제4회 한국유체공학학술대회 논문집
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    • pp.349-352
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    • 2006
  • The conventional segregated finite element formulation produces a small and simple matrix at each step than in an integrated formulation. And the memory and cost requirements of computations are significantly reduced because the pressure equation for the mass conservation of the Navier-Stokes equations is constructed only once if the mesh is fixed. However, segregated finite element formulation solves Poisson equation of elliptic type so that it always needs a pressure boundary condition along a boundary even when physical information on pressure is not provided. On the other hand, the conventional integrated finite element formulation in which the governing equations are simultaneously treated has an advantage over a segregated formulation in the sense that it can give a more robust convergence behavior because all variables are implicitly combined. Further it needs a very small number of iterations to achieve convergence. However, the saddle-paint-type matrix (SPTM) in the integrated formulation is assembled and preconditioned every time step, so that it needs a large memory and computing time. Therefore, we newly proposed the P2PI semi-segregation formulation. In order to utilize the fact that the pressure equation is assembled and preconditioned only once in the segregated finite element formulation, a fixed symmetric SPTM has been obtained for the continuity constraint of the present semi-segregation finite element formulation. The momentum equation in the semi-segregation finite element formulation will be separated from the continuity equation so that the saddle-point-type matrix is assembled and preconditioned only once during the whole computation as long as the mesh does not change. For a comparison of the CPU time, accuracy and condition number between the two methods, they have been applied to the well-known benchmark problem. It is shown that the newly proposed semi-segregation finite element formulation performs better than the conventional integrated finite element formulation in terms of the computation time.

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Investigation on R/C Hyperbolic Paraboloid (HP) Saddle Shell Ultimate Behavior (R/C 쌍곡 포물선 '안장' 쉘의 극한 거동 연구(研究))

  • Min, Chang Shik;Kim, Saeng Bin
    • KSCE Journal of Civil and Environmental Engineering Research
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    • 제13권2호
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    • pp.11-20
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    • 1993
  • Nonlinear inelastic behavior of an HP saddle shell has been examined by a finite element computer program developed on a Cray Y-MP. The mesh convergence is studied using three progressively refined finite element mesh models, $16{\times}16$, $32{\times}32$ and $64{\times}64$, for the elastic and inelastic analyses. It is shown that the $32{\times}32$ mesh model gives a solution that is very close to that given by the $64{\times}64$ mesh model, thus, showing a convergence. The inelastic analysis shows that the shell has a tremendous capacity to redistribute the stresses. At the ultimate, the concrete cracks and the reinforcement yieldings are spread out all over the shell, indicating that the stress distribution in the shell is approaching that given by the classical membrane theory. The present computer program provides a very useful tool for evaluating the nonlinear ultimate behavior of concrete shells during the design process.

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Diagenetic history of the Mungok Formation near Machari area, Yongweol, Kangwondo, based on Textural, Isotopic, and Chemical Analyses (강원도 영월군 마차리 부근에 분포하는 오오도비스기 문곡층의 속성역사)

  • Woo Kyung Sik;Choi Seung Jin
    • The Korean Journal of Petroleum Geology
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    • 제1권1호
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    • pp.1-13
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    • 1993
  • The diagenetic history of the carbonate rocks of the Mungok Formation near Machari area, Kangwondo, was investigated based on textural, isotopic, and chemical data. Paragenetic relationship among diagenetic minerals, coupled with their distinct geochemical contents, shows that the Mungok Formation have undergone several stages of diagenetic events: 1) shallow marine, 2) meteoric, 3) shallow to intermediate burial, and 4) deep burial diagenesis. Shallow marine diagenesis includes fibrous calcite cementation, micritization, and framboidal pyritization, and meteoric diagenesis involved dissolution and recrystallization of unstable allochems (both aragonite and HMC), syntaxial overgrowth on echinoderm fragments, and equant calcite cementation. During shallow to intermediate burial, idiotopic dolomite and chert formed, and xenotopic dolomitization took place before stylolitization of the rocks. After the rocks were deeply buried, saddle dolomitization, second stage of silicification, and dedolomitization occurred.

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