• Title/Summary/Keyword: elastica

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Elastica of Tapered Columns of Regular Polygon Cross-Section with Constant Volume (정다각형 단면을 갖는 일정체적 변단면 기둥의 정확탄성곡선)

  • LEE, Byoung Koo;OH, Sang Jin;MO, Jeong Man
    • Journal of Korean Society of Steel Construction
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    • v.8 no.3 s.28
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    • pp.79-87
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    • 1996
  • 본 논문에서는 단순지지된 일정체적의 정다각형 단면을 갖는 변단면 기둥의 정확탄성곡선(elastica)을 산출할 수 있는 수치해석법을 개발하였다. 정확탄성곡선의 미분방정식은 Bernoulli-Euler 보 이론으로 유도하였고, 미분방정식의 수치적분은 Runge-Kutta method를 이용하였다. 미분방정식의 고유치인 지점의 단면회전각은 Regula-Falsi method를 이용하여 계산하였다. 변단면의 단면 깊이의 변화식으로는 직선식, 포물선식 및 정현식의 3가지 함수식을 채택하였다. 또한 유도된 미분방정식을 이용하여 대상기둥의 좌굴하중을 산출하고 이로부터 최강기둥의 단면비와 좌굴하중을 결정하였다.

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Buckling Loads and Postbuckling Behavior of Tapered Piles by Third Order Theory (3차이론에 의한 변단면 강말뚝의 좌굴하중및 후좌굴 거동)

  • 이병구;정진섭;이문수;박승해
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.36 no.2
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    • pp.56-66
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    • 1994
  • Numerical methods are developed to obtain the buckling loads and to analyze the postbuckling behavior of the tapered steel piles. The nondimensional differential equations governing the elastica of the buckled piles are derived by the third order theory and solved numerically. The Runge-Kutta method is used to solve the differential equations, and the bisection method is used to obtain the buckling loads and the reaction moments of the clamped ends. Both the linear and stepped taper of the steel piles are considered as the variable crosssection in the differential equations. As the numerical results, the equilibrium paths, the buckling loads vs. section ratio curves and the typical elastica and the bending moment diagrams of the buckled piles are presented in figures. Experimental studies that complement the theoretical results are presented. It is expected that the numerical methods developed in this study for calculating the buckling loads and analyzing the postbuckling behavior of the steel piles are used in the structural and foundation engineering.

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A Simple Solution of Lateral Buckling of an Elastica with Self-Contact (자기접촉을 가지는 일래스티카 기둥의 수평좌굴 해의 간단한 해법)

  • Jung, Jae-Ho;Kang, Tae-Jin;Lee, Kyung-Woo
    • Proceedings of the Korean Fiber Society Conference
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    • 2003.10b
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    • pp.80-83
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    • 2003
  • Exact Solution of lateral buckling of elastica column with self-contact was obtained. By assuming that there exists a counter force to maintain the horizontal coordinate at contact point to be the same value as that of highest point of bent beam, we could prevent the shape of solution from overlapping with each other. As the simpliest case, we obtained the elliptic integral solutions of the laterally post-buckled shape of linear elastic inextensible column under concentrated load. (omitted)

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Non-Linear Behavior of Tapered Beams with Clamped-Roller Ends, subjected to a Concentrated Load (집중하중을 받는 변단면 고정-이동지점 보의 비선형 거동)

  • 이병구;이종국;최규문;김무영
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2000.10a
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    • pp.201-208
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    • 2000
  • This paper explores the non-linear behavior of tapered beam subjected to a floating concentrated load. For applying the Bernoulli-Euler beam theory to this beam, the bending moment at any point of elastica is obtained from the final equilibrium state. By using the bending moment equation and the Bernoulli-Euler beam theory, the differential equations governing the elastica of clamped-roller beam are derived, and solved numerically. Three kinds of tapered beam types are considered. The numerical results of the non-linear behavior obtained in this study are agreed quite well to the results obtained from the laboratory-scale experiments.

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Buckling Loads and Post-Buckling Behaviors of Shear Deformable Columns with Regular Cross-Section (전단변형을 고려한 정다각형 단면 기둥의 좌굴하중 및 후좌굴 거동)

  • Lee, Byeoung Koo;Lee, Tae Eun;Kwon, Yun Sil;Kim, Sun Gi
    • Journal of Korean Society of Steel Construction
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    • v.13 no.6
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    • pp.683-691
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    • 2001
  • Numerical methods are developed for solving the elastica and buckling load of tapered columns with shear deformation, subjected to a compressive end load. The linear, parabolic and sinusoidal tapers with the regular polygon cross-sections are considered, whose material volume and span length are always held constant. The differential equations governing the elastica of buckled column are derived. The Runge-Kutta method is used to integrate the differential equations, and the Regula-Falsi method is used to determine the rotation at left end and the buckling load, respectively. The numerical methods developed herein for computing the elastica and the buckling loads of the columns are found to be efficient and reliable.

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Comparison of Indoor CO2 Removal Capability of Five Foliage Plants by Photosynthesis (다섯가지 관엽식물의 광합성에 의한 실내 이산화탄소 제거능력 비교)

  • Park, Sin-Ae;Kim, Min-Gi;Yoo, Mung-Hwa;Oh, Myung-Min;Son, Ki-Cheol
    • Horticultural Science & Technology
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    • v.28 no.5
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    • pp.864-870
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    • 2010
  • This study was conducted to determine the effects of foliage plants on reducing indoor carbon dioxide ($CO_2$). Five foliage plants such as $Hedera$ $helix$ L., $Ficus$ $benjamina$ L., $Pachira$ $aquatica$, $Chamaedorea$ $elegans$, and $Ficus$ $elastica$ were selected and cultivated in two different growth medium (peatmoss and hydroball). Each plant was placed in an airtight chamber and then treated with the combinations of two different $CO_2$ concentrations (500 or 1,000 ppm) and two different light intensities (50 or $200{\mu}mol{\cdot}m^{-2}{\cdot}s^{-1}$). The change of $CO_2$ concentration (ppm) in the airtight chamber during day and night was measured and then converted into the photosynthetic rate (${\mu}mol\;CO_2{\cdot}m^{-2}{\cdot}s^{-1}$). As the results, each foliage plant reduced $CO_2$ level in the airtight chamber for one hour by photosynthesis. $Pachira$ $aquatica$ and $Ficus$ $elastica$ absorbed $CO_2$ more effectively compared to the other plants. The plants exposed to higher $CO_2$ concentration (1,000 ppm) and higher light intensity ($200{\mu}mol{\cdot}m^{-2}{\cdot}s^{-1}$) showed more effective $CO_2$ elimination rate and photosynthetic rate. The plants that have wide leaves and big leaf areas such as $Pachira$ $aquatica$, $Hedera$ $helix$ L.,and $Ficus$ $elastica$ showed higher photosynthetic rate than the other plants that have smaller leaves. Released $CO_2$ concentration by respiration of the plants during the night was very low compared to the absorbed $CO_2$ concentration by photosynthesis during the day. There was no significant difference between peatmoss and hydroball medium on reducing $CO_2$ concentration and increasing photosynthetic rate. In conclusion, this study suggested that foliage plants can effectively eliminate indoor $CO_2$. Optimum environmental control in relation to photosyntheis and usage of right indoor foliage plants having lots of leaves and showing active photosynthesis even under low light intensity like indoor light condition would be required to increase the elimination capacity of indoor $CO_2$.

Initial Growth Responses of Four Woody Plants for Indoor Landscaping according to Irrigation Frequency (관수주기에 따른 실내녹화용 목본식물 4종의 초기 생육반응)

  • Kwon, Kei-Jung;Park, Bong-Ju
    • Journal of the Korean Institute of Landscape Architecture
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    • v.45 no.1
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    • pp.28-34
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    • 2017
  • This study was carried out to investigate growth characteristics of woody plants that are widely used indoors in accordance with irrigation frequency and to find the optimum irrigation conditions for plants that help to improve the indoor environment. Four woody plants used in this study included Ardisia pusilla, Clusia rosea, Fatsia japonica, and Ficus elastica. They were planted in pots with a diameter of 10cm and cultivated in three different irrigation frequencies: two times per week, one time per week, and one time per two weeks. After 120 days, they were measured by plant height, fresh weight, dry weight, SPAD value, leaf color, leaf water potential, chlorophyll fluorescence (Fv/Fm), and photosynthetic rate. The average soil moisture content was $48.8{\pm}2.1%$ in two times per week, $25.2{\pm}4.4%$ in one time per week, and $10.3{\pm}2.4%$ in one time per two weeks. For A. pusilla, leaf water potential was higher, and Fv/Fm value was 0.731 in two times per week irrigation, showing more wetness. For A. pusilla, F. japonica and F. elastica photosynthetic rate was significantly lower in one time per two weeks irrigation, appearing to be more sensitive to drying than C. rosea. When irrigated one time per week, with the soil's volume average moisture content of 25%, all four woody plants used in this experiment proved to grow smooth. Thus, it was determined to be good for use in indoor landscaping.

Effect of Bacterial Population from Rhizosphere of Various Foliage Plants on Removal of Indoor Volatile Organic Compounds (다양한 관엽식물의 근권부 박테리아 집단이 실내 휘발성 유기화합물질의 제거에 미치는 영향)

  • Chun, Se-Chul;Yoo, Mung-Hwa;Moon, Young-Sook;Shin, Mi-Ho;Son, Ki-Cheol;Chung, Ill-Min;Kays, Stanley J.
    • Horticultural Science & Technology
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    • v.28 no.3
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    • pp.476-483
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    • 2010
  • Total bacterial populations were cultured from the Hydroball cultivation media in the rhizospheres of 9 different plants including $Hedera$ $helix$ L. and $Dracaena$ $deremensis$ cv. Warneckii Compacta, etc. These cultured bacterial populations were studied to test if the bacterial populations in the plant growing pots may play a role on removal of volatile organic compounds (VOCs) such as benzene and toluene in the air. To meet this objective, first, we tested the possibility of removal of VOCs by the cultured total bacteria alone. The residual rates of benzene by the inoculation of total bacterial populations from the different plant growth media were significantly different, ranging from 0.741-1.000 of $Spathiphyllum$ $wallisii$ 'Regal', $Pachira$ $aquatica$, $Ficus$ $elastica$, $Dieffenbachia$ sp. 'Marrianne' Hort., $Chamaedorea$ $elegans$, compared to the control with residual rate of 0.596 (LSD, $P$=0.05). This trend was also similar with toluene, depending on different plants. Based on these results, we inoculated the bacterial population cultured from $P.$ $aquatica$ into the plant-growing pots of $P.$ $aquatica$, $F.$ $elastica$, and $S.$ $podophyllum$ inside the chamber followed by the VOCs injection. The inoculated bacteria had significant effect on the removal of benzene and toluene, compared to the removal efficacy by the plants without inoculation, indicating that microbes in the rhizosphere could play a significant role on the removal of VOCs along with plants.

Screening of Fibrinolytic Activities of Extracts from Wild Mushrooms Collected in Mt. Chilgap of Korea (칠갑산 야생버섯 추출물로부터 혈전용해효소의 활성 검색)

  • Kim, Jun-Ho;Yoo, Kwan-Hee;Seok, Soon-Ja;Kim, Yang-Sup
    • The Korean Journal of Mycology
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    • v.33 no.1
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    • pp.18-21
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    • 2005
  • Extracts of 67 wild mushrooms were tested for their fibrinolytic activities. The extract of Marasmius pulcherripes showed 112% higher increased activity as compared with a positive control, plasmin (0.75 U/ml). Helvella elastica and Psathyrella sp. showed 60% and 49% of activities to that of plasmin, respectively. Three mushrooms such as Lepista sordida, Fomitella fraxinea, and Leucoagaricus rubrotinctus showed 40% of plasmin activity. The other 60 mushroom extracts did not show any fibrinolytic activity.

Critical Loads and Post-Buckling Behaviour of Simply Supported Tapered Columns (단순지지(單純支持) 변단면(變斷面) 기둥의 임계하중(臨界荷重) 및 후좌굴(後挫屈) 거동(擧動))

  • Lee, Byoung Koo;Oh, Sang Jin;Mo, Jeong Man
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.11 no.4
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    • pp.17-26
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    • 1991
  • Numerical methods are developed to obtain the critical loads and to analyze the post-buckling behaviour of the linearly varying tapered columns. The non-dimensional differential equations governing the elastica of post buckled column are derived by third order and solved numerically using the Runge-Kutta method and Regula-Falsi method. Three kinds of cross-sectional shape with simply supported end constraint are applied in unmerical examples. As the numerical results, the equlibrium paths. the typical elastica of post buckled columns and the critical load vs. section ratio curves are presented in figures. Also, the effects of cross-sectional shape factor on critical loads and postbuckling behaviour are presented in tables.

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