• Title/Summary/Keyword: Addition Formula

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Vibration-based identification of rotating blades using Rodrigues' rotation formula from a 3-D measurement

  • Loh, Chin-Hsiung;Huang, Yu-Ting;Hsiung, Wan-Ying;Yang, Yuan-Sen;Loh, Kenneth J.
    • Wind and Structures
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    • v.21 no.6
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    • pp.677-691
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    • 2015
  • In this study, the geometrical setup of a turbine blade is tracked. A research-scale rotating turbine blade system is setup with a single 3-axes accelerometer mounted on one of the blades. The turbine system is rotated by a controlled motor. The tilt and rolling angles of the rotating blade under operating conditions are determined from the response measurement of the single accelerometer. Data acquisition is achieved using a prototype wireless sensing system. First, the Rodrigues' rotation formula and an optimization algorithm are used to track the blade rolling angle and pitching angles of the turbine blade system. In addition, the blade flapwise natural frequency is identified by removing the rotation-related response induced by gravity and centrifuge force. To verify the result of calculations, a covariance-driven stochastic subspace identification method (SSI-COV) is applied to the vibration measurements of the blades to determine the system natural frequencies. It is thus proven that by using a single sensor and through a series of coordinate transformations and the Rodrigues' rotation formula, the geometrical setup of the blade can be tracked and the blade flapwise vibration frequency can be determined successfully.

Preliminary design and cost estimation of helicopters (회전익 항공기의 기본설계 및 가격예측 연구)

  • Lee, Choong-Yun;Ko, Kwang-Ho;Jung, Sung-Nam;Yu, Yung-Hoon
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.38 no.4
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    • pp.309-314
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    • 2010
  • In this work, the helicopter price estimation formula from Harris & Scully is revised and updated for more accurate prediction of the current prices of helicopters which can be applied in the preliminary design stage. As many as 74 helicopter price and sizing data after the year 1997 are newly included to the out-dated coefficients in the cost estimation formula. In addition, the updated price estimation formula is added to Tishchenko's preliminary sizing method for price consideration in the preliminary design stage. Sikorsky's S-76C+ helicopter is used along with other various helicopters for comparison and validation of the sizing code as well as the new updated price estimation formula.

Evaluation of the Crack Width of the Ultra High Performance Concrete(K-UHPC) Structures (초고성능 콘크리트(K-UHPC) 구조물의 균열폭 평가)

  • Kwahk, Imjong;Lee, Jungwoo;Kim, Jeesang;Joh, Changbin
    • Journal of the Korean Society of Safety
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    • v.27 no.6
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    • pp.99-108
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    • 2012
  • Ultra High Performance Concrete(UHPC) has compressive strength higher than 180 MPa. The use of steel fibers in the dense UHPC matrix increases tensile strength, ductility and bond strength between UHPC and rebars. However, to apply the advance material behavior of UHPC to the design of a structure, we need design formulas. The crack formula is one of them. This paper investigated experimentally the bond behavior of a rebar and K-UHPC, the UHPC developed by Korea Institute of Construction Technology, and, modified CEB-FIP crack formula based on the test. In addition, this paper tested the crack behavior of K-UHPC reinforced with rebars to verify the modified crack formula. The result showed that the modified formula is reasonable to predict the width of cracks in the reinforced K-UHPC structures.

DISPARITY ESTIMATION/COMPENSATION OF MULTIPLE BASELINED STEREOGRAM USING MAXIMUM A POSTERIORI ALGORITHM

  • Sang-Hwa;Park, Jong-Il;Lee, Choong-Woong
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 1999.06a
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    • pp.49-56
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    • 1999
  • In this paper, the general formula of disparity estimation based on Bayesian Maximum A Posteriori (MAP) algorithm is derived. The generalized formula is implemented with the plane configuration model and applied to multiple baselined stereograms. The probabilistic plane configuration model consists of independence and similarity among the neighboring disparities in the configuration. The independence probabilistic model reduces the computation and guarantees the discontinuity at the object boundary region. The similarity model preserves the continuity or the high correlation of disparity distribution. In addition, we propose a hierarchical scheme of disparity compensation in the application to multiple-view stereo images. According to the experiments, the derived formula and the proposed estimation algorithm outperformed other ones. The proposed probabilistic models are reasonable and approximate the pure joint probability distribution very well with decreasing the computations to O(n(D)) from O(n(D)4) of the generalized formula. And, the hierarchical scheme of disparity compensation with multiple-view stereos improves the performance without any additional overhead to the decoder.

Proposal of VO2max estimation formula for elderly men and women using functional performance measurement

  • KWON, Young-Ae;LEE, Wan-Young;KIM, Jun-Su
    • The Korean Journal of Food & Health Convergence
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    • v.8 no.1
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    • pp.21-30
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    • 2022
  • This study proposed a multiple regression equation for predicting VO2max of elderly men and women using functional performance variables required to conduct daily activities. The subjects of this study were 58 elderly men (72.4±5.9 yrs) and 117 elderly women (73.4±4.5 yrs) aged 65-90 who belong to the senior welfare center. The maximal graded exercise test using a cycle ergometer and functional performance representing muscle strength, endurance, static and dynamic flexibility, mobility, and agility were measured. For statistical processing, multiple regression analysis was performed, and the statistical significance level was α = .05. As a result, the VO2max estimation formula for the elderly was 0.419 (standing up and sitting down a chair) + 0.199 (leg endurance against wall) + 5.383, and R2=0.406. In addition, the VO2max estimation formula for elderly women is - 0.737 (standing up from a supine position) - 0.144 (waking around two cones in a figure 8) - 0.135 (%body fat) + 0.042 (one leg balance with eyes open) + 29.395, R2=0.367 was calculated. The conclusion is that if the maximal graded exercise test is not available, it is considered that VO2max of the elderly can be predicted properly by using the estimation formula calculated based on the functional performance variable.

Research on Standardization of Sasang Typology Formulae English Translation (사상(四象) 방제명(方劑名)의 영역(英譯) 표준화(標準化)에 대한 연구(硏究))

  • Kim, Hyun-Koo;Ahn, Sang-Young;Kwon, Oh-Min;Ahn, Sang-Woo
    • The Journal of Korean Medicine
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    • v.34 no.1
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    • pp.103-115
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    • 2013
  • Objectives: This study proposes a new form of English translation in comparison with that shown in English books related to Sasang Constitutional medicine formulae which have been published up to now. Methods: This study formulated a new form of English translation guidelines by making a comparative analysis of the English translation cases listed in "Korean-English Dictionary of Oriental Medicine", "Longevity and Life Preservation in Eastern Medicine", and "Introduction to Sasang Constitutional Medicine". Results: This study as a common rules suggested that names of preparation form should be placed at the very end of the formula name and the first letters of the major words of the formula name should be capitalized. In addition, for the sake of accuracy in English translation of the formula name, this study divided the formula names into 8 types. The 8 sorts of types include: (a) Materia Medica + Preparation Form, (b) Materia Medica + Indication + Preparation Form, (c) Materia Medica Numbers + Preparation Form, (d) Indication + Preparation Form, (e) Concept + Preparation Form, (f) Concept + Materia Medica + Preparation Form, (g) Concept + Indication + Preparation Form, (h) Etcetera. In these types, medicinal herbs should be written in scientific name, and translation of indication can follow Noun+~ing participle form. In case of the terms having a Korean-medicine-based meaning, this study aimed for source-oriented translation. Conclusions: This study provides a general English translation method and examples of the formula names for Sasang constitutional medicine.

A Practical Approach Determining an IDF formula with Limited Rainfall-Duration Data Availability (제한적 강우-지속기간 자료를 이용한 실용적 IDF 관계식의 유도)

  • Seong, Kee-Won
    • Journal of Korea Water Resources Association
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    • v.41 no.6
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    • pp.587-595
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    • 2008
  • In order to aid the derivation of the IDF relationship for a station with insufficient duration-rainfall data, an approach to derive a simple and practical IDF formula is presented. The IDF formula is described simply by the term of the two parameters and a design frequency. The model parameters were estimated from a statistical technique based on the normal distribution of transformed rainfall intensities. In order to give the transformed data, both the Kruskal-Wallis statistic and the Manly transformation of duration-rainfall data were adopted. With the methods, the proposed IDF formula becomes a simpler model that compares well with conventional form. In addition, it allows avoiding an exceptional condition of the higher rainfall intensity for longer duration. The performance of the proposed formula was evaluated by using the limited rainfall data for short duration from two gauge stations. The result showed that the IDF formula developed in this work was an effective tool, providing a reliable relationship between the intensity and duration even though insufficient data are only available.

Derivation of Plotting Position Formulas Considering the Coefficients of Skewness for the GEV Distribution (왜곡도 계수를 고려한 GEV 분포의 도시위치공식 유도)

  • Kim, Soo-Young;Heo, Jun-Haeng;Choi, Min-Young
    • Journal of Korea Water Resources Association
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    • v.44 no.2
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    • pp.85-96
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    • 2011
  • Probability plotting position is generally used for the graphical analysis of the annual maximum quantile and the estimation of exceedance probability to display the fitness between sample and an appropriate probability distribution. In addition, it is used to apply a specific goodness of fit test. Plotting position formula to define the probability plotting position has been studied in many researches. Especially, the GEV distribution which is an important probability distribution to analyze the frequency of hydrologic data was popular. In this study, the theoretical reduced variates are derived using the mean value of order statistics to derived an appropriate plotting position formula for the GEV distribution. In addition, various forms of plotting position formula considering various sample sizes and coefficients of skewness related with shape parameters are applied. The parameters of plotting position formulas are estimated using the genetic algorithm. The accuracy of derived plotting position formula is estimated by the errors between the theoretical reduced variates and those by various plotting position formulas including the derived ones in this study. As a result, the errors by derived plotting position formula is the smallest at the range of shape parameter with -0.25~0.10.

Water Extract of Rosa laevigata Michx. Protects Hepatocytes from Arachidonic Acid and Iron-mediated Oxidative Stress (아라키돈산과 철 유도성 산화적 스트레스에 대한 금앵자(金櫻子) 열수 추출물의 간세포 보호 효능)

  • Ko, Hae Li;Jegal, Kyung Hwan;Song, Si Yeon;Kim, Nan Ee;Kang, Jiwon;Byun, Sung Hui;Kim, Young Woo;Cho, Il Je;Kim, Sang Chan
    • The Korea Journal of Herbology
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    • v.30 no.6
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    • pp.7-15
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    • 2015
  • Objectives : Rosa laevigata Michx. has been used for the treatment of renal disease in traditional Korean medicine. In this study, we investigated cytoprotective effect of R. laevigata water extract (RLE) against oxidative stress induced by arachidonic acid (AA) + iron.Methods : To evaluate the protective effects of RLE against AA + iron-induced oxidative stress in HepG2 cell, cell viability and changes on apoptosis-related proteins were assessed by MTT and immunoblot analyses. The effects of RLE on reduced glutathione level, production of reactive oxygen species and mitochondrial membrane potential were also monitored. Furthermore, to verify underlying molecular mechanism, NF-E2-related factor 2 (Nrf2) was examined by immunoblot analysis. Additionally, Nrf2 transactivation and its downstream target genes expression were also determined by reporter gene and realtime RT-PCR analyses.Results : RLE pretreatment (30-300 μg/ml) prevented cells from AA + iron-mediated cell death in a concentration dependent manner. In addition, 100 μg/ml RLE inhibited AA + iron-induced glutathione depletion, reactive oxygen species production and mitochondrial dysfunction. RLE accumulated nuclear Nrf2 and also transactivated Nrf2, which was evidenced by antioxidant response element- and glutathione S-transferase A2-driven luciferase activities and mRNA level of glutamate-cysteine ligase catalytic subunit, NAD(P)H:quinone oxidoreductase 1 and sestrin 2. Moreover, protective effect of RLE against AA + iron was abolished in Nrf2 knockout cells.Conclusions : These results indicate that RLE has the ability to protect hepatocyte against oxidative stress through Nrf2 activation.

Antidiabetic Effect of Herbal Formula Containing Mori Folium, Euonymi Lignum Suberalatum and Ginseng Radix in db/db Mice (db/db 마우스에서 상엽, 귀전우, 인삼 복합처방의 항당뇨 활성)

  • Park, Keum-Ju;Han, Eun-Jung;Choi, Yun-Sook;Han, Gi-Cheol;Park, Jong-Seok;Chung, Sung-Hyun
    • Korean Journal of Pharmacognosy
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    • v.38 no.1
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    • pp.10-14
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    • 2007
  • Type 2 diabetes mellitus relavant to insulin resistance is a chronic and hard to control. In order to develop an antidiabetic agent from natural products, anti-hyperglycemic effect of herbal formula containing Mori Follium, Euonymi Lignum Suberalatum and Ginseng Radix(MEG) was investigated in db/db mice. Treatment group was administered orally with MEG formula at a dose of 300 mg/kg for 5 weeks, and blood glucose, insulin and lipid levels were determined. MEG treatment group showed a marked decrease in fasting blood glucose level and insulin resistance index(IRI) compared to those in diabetic control. Improvement of insulin resistance(60.6%) was indicative of reducing lipid levels in plasma and triglyceride contents in muscle and adipose tissue. In addition, expressions of an insulin responsive gene, glucose transporter 4(Glut4), in muscle and adipose tissue were upregulated in MEG treatment group. Compared islet morphology between groups, MEG formula prevented the ${\beta}$-cell destruction caused by high blood glucose. Taken together, MEG formula can act as an anti-hyperglycemic agent with insulin sensitizing effect, and thus deserves a clinical trial in the future.