• Title/Summary/Keyword: Geometry Difference

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Relationship Between Farm Land Structure and Machine Operation in Korea

  • Singh, Gajendra;Ahn, Duck-Hyun
    • Proceedings of the Korean Society for Agricultural Machinery Conference
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    • 1993.10a
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    • pp.129-138
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    • 1993
  • The shortage of agricultural labour due to industrial growth has greatly induced the mechanization in Korean agriculture. However small and scattered land holdings have been the main constraints in the process of mechanization. This paper describes the interrelationships of farm land structure, machinery selection and machinery operation areas. The sandy silt loam irrigated paddy land having single crop a year was selected as a target areas for this study. Machine operation cost is greatly influenced by operation period, plot geometry and operation area. On the improved geometry plots, optimal machine size increases slowly with increase in operation area. Operable area increases due to increased effective machine capacity on better geometry plot. The difference between the effects of operation period and plot geometry is that in the former case, the cost reduction is caused by delay in increase of machine size, whereas in the latter case timeliness cost is reduced by increase ffective capacity. The effect of farmland consolidation is greater on small plots than that on big plots. Increasing wage rates have induced the adoption of more labor saving machinery. Bigger labor saving machines require enlargement of operation area and larger plots through improvement in farm land structure. Machine cost on poor plot geometry increases more rapidly than that on the good plot geometry and as operation area increases machine cost reduces significantly. It is concluded that the development of agricultural mechanization ion Korea will depend on the improvement in farm land structure and enlargement of operation area.

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A Study on the Inverse Shape Design of a Turbine Cascade Using the Permeable Boundary Condition and CFD (침투경계조건과 CFD를 이용한 터빈 역형상 설계에 관한 연구)

  • Lee, Eun-Seok;Seol, Woo-Seok
    • Proceedings of the KSME Conference
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    • 2007.05b
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    • pp.3116-3121
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    • 2007
  • In this paper, the inverse shape design is introduced using the permeable wall boundary condition. Inverse shape design defines the blade shape for the prescribed Mach numbers or pressure distribution on its surface. It calculates the normal mass flux from the difference between the calculated and prescribed pressure at the surface. A new geometry can be achieved after applying the quasi one-dimensional continuity equation from the leading edge to the trailing edge. For validation of this method, two test cases are studied. The first test case of inverse shape design illustrates the cosine bump with a strong shock. After seven geometry modifications, the shock-free bump geometry can be obtained. The second example concerns the redesign of a transonic turbine cascade. The initial isentropic Mach distribution has a peak on the upper surface. The target isentropic Mach number distribution was imposed smoothly. The peak of Mach distribution has disappeared at the final geometry. This proposed inverse design method has proven to be an efficient and robust tool in turbomachinery design fields.

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A Study on the Characteristics of the Wheel/Roller Contact Geometry (차륜/궤조륜 기하학적 접촉특성에 관한 연구)

  • Hur, Hyun-Moo
    • Journal of the Korean Society for Railway
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    • v.9 no.5 s.36
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    • pp.618-623
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    • 2006
  • Understanding the contact between wheel and rail is a starting point in railway vehicle dynamic research area and especially analysis for the contact geometry between wheel and rail is important. On the one hand, the critical speed as the natural characteristics of rolling-stock is generally tested on the roller rig. The geometrical characteristics of the wheel/roller contact on the roller rig are different from these of the general wheel/rail contact because the longitudinal radius of roller is not infinite compared with rail. Thus, in this paper we developed the algorithm to analyze the wheel/roller contact geometry of our roller rig which is constructed now and analyzed the difference between whee/roller contact and wheel/rail contact. In conclusion, we found that the yaw motion of wheelset and the roller radius influence the geometrical contact parameters in wheel flange contact area.

Generation of Fine Droplets in a Simple Microchannel (유체 소자를 이용한 미세 액적 생성)

  • Kim, Su-Dong;Kim, Young-Won;Yoo, Jung-Yul
    • Proceedings of the KSME Conference
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    • 2008.11b
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    • pp.2658-2663
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    • 2008
  • In the present study, we designed a microfluidic flatform that generates monodisperse droplets with diameters ranging from hundreds of nanometers to several micrometers. To generate fine droplets, T-junction and flow-focusing geometry are integrated into the microfluidic channel. Relatively large aqueous droplets are generated at the upstream T-junction and transported toward the flow-focusing geometry, where each droplet is broken up into the targeted size by the action of viscous stresses. Because the droplet prior to rupture blocks the straight channel that leads to the flow-focusing geometry, it moves very slowly by the pressure difference applied between the advancing and receding regions of the moving droplet. This configuration enables very low flow rate of inner fluid and higher flow rate ratio between inner and outer fluids at the flow-focusing region. It is shown that the present microfluidic device can generate droplets with diameters about 1 micrometer size and standard deviation less than 3%.

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Comparison of Teaching Geometry Between China and USA-From an Oriental Perspective

  • Wang, Linquan;Wu, Yuezhong
    • Research in Mathematical Education
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    • v.6 no.2
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    • pp.107-116
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    • 2002
  • Geometry is one of the important parts of Chinese school mathematics. There is a large difference in teaching and contents (standards, curriculum) between the US and China. Many mathematics educators in both countries are trying to reform the instruction of geometry and have made some progress. Close attention has been given to the Principles and Standards for School Mathematics (NCTM 2000), in which we have found many good ideas. In this paper, we introduce new developments of school geometry in China and have made some comparisons between the US and China. The new technology is becoming popular step by step in Chinese high schools. We believe we should learn from each other and exchange the ideas. In doing this mathematics teaching will be improved.

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Nodal method for handling irregularly deformed geometries in hexagonal lattice cores

  • Seongchan Kim;Han Gyu Joo;Hyun Chul Lee
    • Nuclear Engineering and Technology
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    • v.56 no.3
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    • pp.772-784
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    • 2024
  • The hexagonal nodal code RENUS has been enhanced to handle irregularly deformed hexagonal assemblies. The underlying RENUS methods involving triangle-based polynomial expansion nodal (T-PEN) and corner point balance (CPB) were extended in a way to use line and surface integrals of polynomials in a deformed hexagonal geometry. The nodal calculation is accelerated by the coarse mesh finite difference (CMFD) formulation extended to unstructured geometry. The accuracy of the unstructured nodal solution was evaluated for a group of 2D SFR core problems in which the assembly corner points are arbitrarily displaced. The RENUS results for the change in nuclear characteristics resulting from fuel deformation were compared with those of the reference McCARD Monte Carlo code. It turned out that the two solutions agree within 18 pcm in reactivity change and 0.46% in assembly power distribution change. These results demonstrate that the proposed unstructured nodal method can accurately model heterogeneous thermal expansion in hexagonal fueled cores.

The Effect of Geometry Learning through Spatial Reasoning Activities on Mathematical Problem Solving Ability and Mathematical Attitude (공간추론활동을 통한 기하학습이 수학적 문제해결력과 수학적 태도에 미치는 효과)

  • Shin, Keun-Mi;Shin, Hang-Kyun
    • Journal of Elementary Mathematics Education in Korea
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    • v.14 no.2
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    • pp.401-420
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    • 2010
  • The purpose of this research is to find out effectiveness of geometry learning through spatial reasoning activities on mathematical problem solving ability and mathematical attitude. In order to proof this research problem, the controlled experiment was done on two groups of 6th graders in N elementary school; one group went through the geometry learning style through spatial reasoning activities, and the other group went through the general geometry learning style. As a result, the experimental group and the comparing group on mathematical problem solving ability have statistically meaningful difference. However, the experimental group and the comparing group have not statistically meaningful difference on mathematical attitude. But the mathematical attitude in the experimental group has improved clearly after all the process of experiment. With these results we came up with this conclusion. First, the geometry learning through spatial reasoning activities enhances the ability of analyzing, spatial sensibility and logical ability, which is effective in increasing the mathematical problem solving ability. Second, the geometry learning through spatial reasoning activities enhances confidence in problem solving and an interest in mathematics, which has a positive influence on the mathematical attitude.

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Assessment of the Correlation for Geometry Transition using Bone Mineral Density in Proximal Femur (골밀도를 이용한 대퇴근위부 형태 변화의 상관관계 평가)

  • Kim, Da-Hye;Ko, Seong-Jin;Kang, Se-Sik;Kim, Jung-Hoon;Kim, Dong-Hyun;Ye, Soo-Young;Kim, Changsoo
    • The Journal of the Korea Contents Association
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    • v.12 no.12
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    • pp.335-344
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    • 2012
  • Osteoporosis is increasing in Korea as it becomes an aging society with the rapid economic growth and the development of medical technology. Osteoporosis also develops due to chemo and radiation therapy of cancer which also increases owing to Westernized diet. Osteoporosis is caused by reduced bone density, has close relationship with the change of geometry of proximal femur, which is a factor of hip fracture risk. The purpose of this study was the analysis of the correlations of osteoporosis and the change of geometry of proximal femur, which was observed according to T-score variance. The 350 male and female patients are chosen from D hospital in Busan, who were classified by age, sex and T-score values (normal, osteopenia, and osteo porosis). The results show that the age and gender have significant difference in the incidence of osteoporosis; the disease classification according to T-score value has significant difference in the geometry of the proximal femur such as Cortical ratio calcar, Cortical ratio shaft, Hip/shaft Angle, Strength index, Section modulus, CSMI, and CSA, and is highly correlated with the incidence of osteoporosis. Therefore, the findings of this research is that the change of the geometry of the proximal femur could be used as an indicator in the diagnosis of osteoporosis, could enhance the accuracy of the diagnosis in the future, and could be used as a clinical predictive factors through the analysis of the correlations of T-score variance and the geometry changes of the proximal femur.

Proof of the Pythagorean Theorem from the Viewpoint of the Mathematical History (수학사적 관점에서 본 피타고라스 정리의 증명)

  • Choi, Young-Gi;Lee, Ji-Hyun
    • School Mathematics
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    • v.9 no.4
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    • pp.523-533
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    • 2007
  • This article focused the meaning of Pythagoras' and Euclid's proof about the Pythagorean theorem in a historical and mathematical perspective. Pythagoras' proof using similarity is based on the arithmetic assumption about commensurability. However, Euclid proved the Pythagorean theorem again only using the concept of dissection-rearrangement that is purely geometric so that it does not need commensurability. Pythagoras' and Euclid's different approaches to geometry have to do with Birkhoff's axiom system and Hilbert's axiom system in the school geometry Birkhoff proposed the new axioms for plane geometry accepting real number that is strictly defined. Thus Birkhoff's metrical approach can be defined as a Pythagorean approach that developed geometry based on number. On the other hand, Hilbert succeeded Euclid who had pursued pure geometry that did not depend on number. The difference between the proof using similarity and dissection-rearrangement is related to the unsolved problem in the geometry curriculum that is conflict of Euclid's conventional synthetical approach and modern mathematical approach to geometry.

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An Analysis on the Treatment of Axiom and Proof in Middle School Mathematics (중학교 기하에서의 공리와 증명의 취급에 대한 분석)

  • Lee, Ji-Hyun
    • Journal of Educational Research in Mathematics
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    • v.21 no.2
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    • pp.135-148
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    • 2011
  • Middle school mathematics treats axiom as mere fact verified by experiment or observation and doesn't mention it axiom. But axiom is very important to understand the difference between empirical verification and mathematical proof, intuitive geometry and deductive geometry, proof and nonproof. This study analysed textbooks and surveyed gifted students' conception of axiom. The results showed the problem and limitation of middle school mathematics on the treatment of axiom and proof.

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