• Title/Summary/Keyword: Governing equation

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Strength and Deformation Capacities of Short Concrete Columns with Circular Section Confined by GFRP (GFRP로 구속된 원형단면 콘크리트 단주의 강도 및 변형 능력)

  • Cho, Soon-Ho
    • Journal of the Korea Concrete Institute
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    • v.19 no.1
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    • pp.121-130
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    • 2007
  • To investigate the enhancement in strength and deformation capacities of concrete confined by FRP composites, tests under axial loads were carried out on three groups of thirty six short columns in circular section with diverse GFRP confining reinforcement. The major test variables considered include fiber content or orientation, wrap or tube type by varying the end loading condition, and continuous or discontinuous confinement depending on the presence of vortical spices between its two halves. The circumferential FRP strains at failure for different types of confinements were also investigated with emphasis. Various analytical models capable of predicting the ultimate strength and strain of the confined concrete were examined by comparing to observed results. Tests results showed that FRP wraps or tubes provide the substantial increase in strength and deformation, while partial wraps comprising the vertical discontinuities fail in an explosive manner with less increase in strength, particularly in deformation. A bilinear stress-strain response was observed throughout all tests with some variations of strain hardening. The failure hoop strains measured on the FRP surface were less than those obtained from the tensile coupons in all tests with a high degree of variation. In overall, existing predictive equations overestimated ultimate strengths and strains observed in present tests, with a much larger scatter related to the latter. For more accuracy, two simple design- oriented equations correlated with present tests are proposed. The strength equation was derived using the Mohr-Coulomb failure criterion, whereas the strain equation was based on entirely fitting of test data including the unconfined concrete strength as one of governing factors.

The Comparative Research on the Theory of Self-cultivation in Neo-Confucianism and Daesoon Thought (주자학과 대순사상의 수양론 비교 연구)

  • Lee, Gwang-ju
    • Journal of the Daesoon Academy of Sciences
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    • v.24_2
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    • pp.231-270
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    • 2015
  • This thesis examined Chu Hsi's self-cultivation theory as the representative theory of cultivation in Confucianism, while juxtaposing it to self-cultivation theory in Daesoon thought, concentrating on its similarity and difference. Neo-Confucianism is a scholarship which has wielded a tremendous influence upon East Asia, while functioning as an official scholarship for long period up to Yuan, Ming, and Ching period, after achieving its synthesis by Chu Hsi. After 13th century, Neo-Confucianism has been a representative academic system in Confucianism, and self-cultivation theory was in its center. It suggested various virtues that classical scholars have to equip to fulfill the sainthood and the politics of royal road. The self-cultivation theory of Chu Hsi was developed upon the basis of the theory 'Li-Qi' and the theory of mind. Here, the practice of Geokyung(morally awakened state with a reverent spirit in every moment) and Gyeokmul-tsiji(reaching into the utmost knowledge through investigation of things) formed a nucleus of Chu Hsi's self-cultivation theory. While Geokyung was to reveal one's true nature through cultivation of mind, Gyeokmul-tsiji was to demonstrate the complete use of mind's essence and function. Chu Hsi's self-cultivation theory attempted to realize the unity of heaven and man, and through cultivating self and governing people, it also tried to achieve its ideal of the society of Great Union(Daedong). Daesoon Thought is originated from Sangjenim who has descended to this world as a human being called Jeungsan. He went on his circuit to rectify the disorder of heaven and earth for 9 years to rectify the Three worlds of heaven, earth and human being which were faced with total annihilation due to its rule of mutual conflict, while creating an earthly paradise. Respecting the will of Sangjenim, Dojunim established the foundation of Do through launching 'Meukeukdo' and setting tenet, creed and object so that the cultivators (Doins) could believe and respect the truth of Sangje's great itineration (Daesoon). Among those, the two components of creed, which are four fundamental principles and the three fundamental attitudes are of great account as precept and cardinal point. Through this means, the cultivators of Daesoonjinrihoe aspire to guard against self-deception through transforming the human spirit, to realize earthly immortality through renewing human beings, and to create an earthly paradise through transforming the world. This thesis attempted to compare and analyze the theory of self-cultivation in Neo-Confucianism and Daesoon Thought in the aspect of ground, method, and object of cultivation. First, as for the ground of cultivation, the doctrines of Chu-tzu and Daesoon thought place the essence of cultivation on 'heaven'. Yet, whereas the former postulates Taekeuk (the Great Ultimate) as a principle as well as the heaven of a natural order, Daesoon thought postulates Sangenim as the heaven of superintendence as well as the heaven of a natural order, signified as its equation of Daesoon with circle, along with the unity of Meukeuk (Endlessness) and Taegeuk (the Great Ultimate). Further, the doctrine of Chu-zhu and Daesoon thought is identical in the point that both thoughts see mind as the subject of cultivation, while trying to restore a pure essence. Nevertheless, whereas Neo-Confucianism intends to give scope to ability of the complete use of mind's essence and function, Daesoon Thought sees mind as the essence which is used by spiritual beings and as an organ that heaven, earth and human being rely upon as the center of the universe. In the aspect of method of cultivation, the doctrine of Chuzhu lays emphasis on the rational factor in that it brightens its 'myung-deoki'(bright inner virtue),' while trying to correspond to the law of heaven on the basis of 'Geokyung' and 'Gyeokmul-tsiji.' On the contrary, Daesoon thought lays much emphasis on faith factor in that it aspires for human perfection based on the restoration of conscience by cultivating Daesoonjinri with sincerity, reverence and faith along with 'quieting the heart-mind', 'quieting the body', 'respecting the God of the Ninth Heaven', and 'observing ritual practice on the basis of the faith in Sangjenim. Yet, both thoughts have similarities in that cultivation of body forms the basis and that they attempt to realize their ideals through cultivation in daily life while taking 'Guarding against self-deception' as the key method of self-cultivation.' However, the principle of Chu-zhu can be said to be a voluntary and autonomous practice based on scripture of the saint as well as self-reflection. On the other hand, Daesoon thought reveals certain difference in that it combines faith factor with one's self-effort by concentrating on cultivation under the presence of Sangjenim as the object of belief and the spirits of heaven and earth. In the aspect of object of cultivation, both thoughts share similarities in that the saint and the perfected gentleman with a moral virtue as an ideal image of men in both thoughts attempt to realize each of their 'myung-deok' in human nature as a heavenly mandate while respecting morality. Further, they also share similarity in the point that the desirable characters in both thoughts want to participate in harmonious creation and nurturance. Yet, the perfected gentleman with a moral virtue is also characterized by its aim for a new heaven and earth where there is no mutual conflict but mutual beneficence, by promoting the moral influence and virtue of Sangjenim over one's own virtue, while practising the mutual beneficence of all life through harmonious union of divine beings and human beings.

Numerical Analysis of Unstable Combustion Flows in Normal Injection Supersonic Combustor with a Cavity (공동이 있는 수직 분사 초음속 연소기 내의 불안정 연소유동 해석)

  • Jeong-Yeol Choi;Vigor Yang
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2003.05a
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    • pp.91-93
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    • 2003
  • A comprehensive numerical study is carried out to investigate for the understanding of the flow evolution and flame development in a supersonic combustor with normal injection of ncumally injecting hydrogen in airsupersonic flows. The formulation treats the complete conservation equations of mass, momentum, energy, and species concentration for a multi-component chemically reacting system. For the numerical simulation of supersonic combustion, multi-species Navier-Stokes equations and detailed chemistry of H2-Air is considered. It also accommodates a finite-rate chemical kinetics mechanism of hydrogen-air combustion GRI-Mech. 2.11[1], which consists of nine species and twenty-five reaction steps. Turbulence closure is achieved by means of a k-two-equation model (2). The governing equations are spatially discretized using a finite-volume approach, and temporally integrated by means of a second-order accurate implicit scheme (3-5).The supersonic combustor consists of a flat channel of 10 cm height and a fuel-injection slit of 0.1 cm width located at 10 cm downstream of the inlet. A cavity of 5 cm height and 20 cm width is installed at 15 cm downstream of the injection slit. A total of 936160 grids are used for the main-combustor flow passage, and 159161 grids for the cavity. The grids are clustered in the flow direction near the fuel injector and cavity, as well as in the vertical direction near the bottom wall. The no-slip and adiabatic conditions are assumed throughout the entire wall boundary. As a specific example, the inflow Mach number is assumed to be 3, and the temperature and pressure are 600 K and 0.1 MPa, respectively. Gaseous hydrogen at a temperature of 151.5 K is injected normal to the wall from a choked injector.A series of calculations were carried out by varying the fuel injection pressure from 0.5 to 1.5MPa. This amounts to changing the fuel mass flow rate or the overall equivalence ratio for different operating regimes. Figure 1 shows the instantaneous temperature fields in the supersonic combustor at four different conditions. The dark blue region represents the hot burned gases. At the fuel injection pressure of 0.5 MPa, the flame is stably anchored, but the flow field exhibits a high-amplitude oscillation. At the fuel injection pressure of 1.0 MPa, the Mach reflection occurs ahead of the injector. The interaction between the incoming air and the injection flow becomes much more complex, and the fuel/air mixing is strongly enhanced. The Mach reflection oscillates and results in a strong fluctuation in the combustor wall pressure. At the fuel injection pressure of 1.5MPa, the flow inside the combustor becomes nearly choked and the Mach reflection is displaced forward. The leading shock wave moves slowly toward the inlet, and eventually causes the combustor-upstart due to the thermal choking. The cavity appears to play a secondary role in driving the flow unsteadiness, in spite of its influence on the fuel/air mixing and flame evolution. Further investigation is necessary on this issue. The present study features detailed resolution of the flow and flame dynamics in the combustor, which was not typically available in most of the previous works. In particular, the oscillatory flow characteristics are captured at a scale sufficient to identify the underlying physical mechanisms. Much of the flow unsteadiness is not related to the cavity, but rather to the intrinsic unsteadiness in the flowfield, as also shown experimentally by Ben-Yakar et al. [6], The interactions between the unsteady flow and flame evolution may cause a large excursion of flow oscillation. The work appears to be the first of its kind in the numerical study of combustion oscillations in a supersonic combustor, although a similar phenomenon was previously reported experimentally. A more comprehensive discussion will be given in the final paper presented at the colloquium.

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A Study on the Blasting Vibration Characteristics of Geomunoreum Lava Tubes System, Jeju Island (제주 거문오름 용암동굴계에 영향을 미치는 발파진동특성에 대한 연구)

  • Song, Jae-Yong;Lee, Geun-Chun;Ahn, Ung-San;Lim, Hyun-Muk;Moon, Seong-Woo;Seo, Yong-Seok
    • The Journal of Engineering Geology
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    • v.31 no.1
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    • pp.103-118
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    • 2021
  • For management and preservation measures of lava tube, it is studied how the blasting vibration by constructions near Geomunoreum lava tubes in Jeju affect lava tube. 11 boreholes were drilled in study area, and in-situ blasting tests were conducted by changing from 0.5 kg to 10 kg charge per delay in those boreholes. The vibration velocity, which meets the regulatory vibration criterion during daytime, was estimated as below 0.276 cm/sec by analyzing the relationship between vibration velocity and vibration level. In addition, SRE and CRE were calculated from the results of in-situ blasting tests, and k-values were shown as 130.04 in SRE, 199.71 in CRE, respectively. Also, n-values were shown as -1.717 in SRE, -1.711 in CRE, respectively. Charge per delay were assessed based on these equations, and charges per delay had ranges of 0.57~7.42 kg/delay in estimation equation of vibration velocity, 0.21~5.29 kg/delay in SRE, and 0.04~5.51 kg/delay in CRE, considering the 0.2 kine vibration criterion for cultural heritage and the 20~100 m distance from vibration source. Additionally, the relationships which meet the criteria of 0.2 kine, were calculated by combining CRE in this study with the result of previous study. Allowable charges per delay, which meet the criteria of 0.2 kine, were evaluated as 1.07 kg/delay in 50 m, 5.13 kg/delay in 100 m and 22.26 kg/delay in 200 m distances. These relationships for each vibration velocity are useful to deduce charge per delay for the ground near Geomunoreum lava tube.