• Title/Summary/Keyword: Regression equations

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Seismic structural demands and inelastic deformation ratios: Sensitivity analysis and simplified models

  • Chikh, Benazouz;Laouami, Nacer;Mebarki, Ahmed;Leblouba, Moussa;Mehani, Youcef;Kibboua, Abderrahmane;Hadid, Mohamed;Benouar, Djillali
    • Earthquakes and Structures
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    • v.13 no.1
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    • pp.59-66
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    • 2017
  • Modern seismic codes rely on performance-based seismic design methodology which requires that the structures withstand inelastic deformation. Many studies have focused on the inelastic deformation ratio evaluation (ratio between the inelastic and elastic maximum lateral displacement demands) for various inelastic spectra. This paper investigates the inelastic response spectra through the ductility demand ${\mu}$, the yield strength reduction factor $R_y$, and the inelastic deformation ratio. They depend on the vibration period T, the post-to-preyield stiffness ratio ${\alpha}$, the peak ground acceleration (PGA), and the normalized yield strength coefficient ${\eta}$ (ratio of yield strength coefficient divided by the PGA). A new inelastic deformation ratio $C_{\eta}$ is defined; it is related to the capacity curve (pushover curve) through the coefficient (${\eta}$) and the ratio (${\alpha}$) that are used as control parameters. A set of 140 real ground motions is selected. The structures are bilinear inelastic single degree of freedom systems (SDOF). The sensitivity of the resulting inelastic deformation ratio mean values is discussed for different levels of normalized yield strength coefficient. The influence of vibration period T, post-to-preyield stiffness ratio ${\alpha}$, normalized yield strength coefficient ${\eta}$, earthquake magnitude, ruptures distance (i.e., to fault rupture) and site conditions is also investigated. A regression analysis leads to simplified expressions of this inelastic deformation ratio. These simplified equations estimate the inelastic deformation ratio for structures, which is a key parameter for design or evaluation. The results show that, for a given level of normalized yield strength coefficient, these inelastic displacement ratios become non sensitive to none of the rupture distance, the earthquake magnitude or the site class. Furthermore, they show that the post-to-preyield stiffness has a negligible effect on the inelastic deformation ratio if the normalized yield strength coefficient is greater than unity.

Analysis of the Propagation Characteristics of Blast Vibrations in Pasir Coal Mine (파시르 탄광에서의 발파진동의 전파특성 분석)

  • Choi, Byung-Hee;Ryu, Dong-Woo;SunWoo, Choon
    • Explosives and Blasting
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    • v.24 no.2
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    • pp.51-63
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    • 2006
  • The typical blasting method adopted in Pasir Coal Mine is a surface blasting technique with a single free face. It means that there is only one free face, which is usually the ground surface. This kind of blasting method is easy to use but inevitably causes enormous ground vibrations, which, in turn, can affect the stability of the slopes comprising the various boundaries of the open pit mine. In addition, the method also has the problem of lowering the overall blast efficiency compared to other methods such as bench blasting methods or ones with more than two free faces. In this respect, a project was launched to develop a new blasting method that is suitable for both controling the ground vibration and enhancing the blast efficiency. As a part of the project, we investigated the current blasting method of the mine, and have conducted field measurements of the ground vibrations from 12 biasts. This Paper presents the details of the typical blasting pattern and the Propagation characteristics of the ground vibration from the surface blasting in the mine. Especially, various predictive equations for peak Particle velocities that can be used to estimate the ground vibration level in the mine area were derived from the regression analyses using the measured ground vibration data.

Effects of Water Activity on the Non-Enzymatic Browning Reaction of Dry Milk (수분활성도(水分活性度)가 분유(粉乳)의 비효소적(非酵素的) 갈변(褐變)에 미치는 영향(影響))

  • Chang, Kyu-Seob;Chang, Yeong-Il;Chun, Ki-Chul;Lee, Seong-Gu
    • Applied Biological Chemistry
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    • v.28 no.4
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    • pp.261-270
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    • 1985
  • This study was carried out he effects of water activity on the nonenzymatic browning reactions of dry milk powders. Samples (Dry Whole Milk DWM, Nonfat Dry Milk NFDM) stored at $55^{\circ}C$ were analyzed for $O_2,\;CO_2$ and $H_2O$ by Gas chromatographic method. The brown color which developed from the Maillard reaction was also measured by a reflective spectrophotometer. And linear regression equations and the correlation coeffcients were determined for $O_2,\;CO_2$ and brown color vs. storage, and the results are as follows. The amount of brown and off-flavor development increase as the water activities increase about 0.44 Aw during storage. Both DWM and NFDM milk products show a plateau in water absorption between the 0.33 and 0.44 water activities. DWM produced more browning than NFDM which may be partially due to the carbonyl amine reaction. The $CaCl_2$ solution may exude a water activity lower than 0.44 and varies greatly with temperatures. Oxygen is depleted as brown color development.

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Effects of Local Climatic Conditions on the Yearly Cone Production in Progeny Test Stands of Korean White Pine (국지기후가 잣나무 차대검정림의 년도별 구과 결실량에 미치는 영향)

  • 신만용;장용석;한상억;김영채
    • Korean Journal of Agricultural and Forest Meteorology
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    • v.4 no.3
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    • pp.141-150
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    • 2002
  • This study was conducted to reveal the effects of local climatic conditions on the yearly cone production in progeny test stand of Korean white pine. For this, yearly cone production by locality of progeny test stands was first measured and analyzed. The effects of climatic conditions on the cone production was analyzed by the estimation of yearly local climates based on both a topoclimatological method and a spatial statistical technique. From yearly climatic estimates, 19 climatic indices affecting cone production were computed for each of the progeny test stand. The yearly cone productions were then correlated with and regressed to the climatic indices to examine effects of local climatic conditions on the reproductive growth. According to correlation analysis, it was found that some typical climatic indices by locality were significantly correlated with the cone production. Also, the optimal regression equations which can estimate cone production by local climatic conditions were provided for applying to each of the progeny test stand of Korean white pine.

Optimizing the Hot-water Extraction Conditions for Acanthopanacis cortex Using Response Surface Methodology (반응표면분석법을 이용한 오가피의 열수 추출조건 최적화)

  • Kim, In-Ho;Kim, Seong-Ho;Kwon, Joong-Ho
    • Journal of the Korean Society of Food Science and Nutrition
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    • v.37 no.4
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    • pp.512-520
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    • 2008
  • In order to examine the effective components and antioxidative characteristics of Acanthopanacis cortex, response surface methodology was used to optimize the hot water extraction process by analyzing and monitoring the extraction condition characteristics. The total extraction yield was optimized using the extraction temperature of $84.28^{\circ}C$, extraction time of 3.59 hr and 18.37 mL/g as the amount of solvent per sample. For the effective component of eleutheroside E, the optimal extraction temperature, time and amount of solvent per sample were $81.16^{\circ}C$, 3.56 hr, and 19.06 mL/g, respectively; also, for total phenolics, the optimal conditions were $88.45^{\circ}C$, 4.33 hr, and 21.12 mL/g, respectively. Regression equations were deduced for each variable and then eleutheroside E, chlorogenic acid, and antioxidative characteristics were superimposed with the optimal conditions to obtain values for each extraction process factor. The predicted results were $81{\sim}88^{\circ}C$, $3.5{\sim}4.3hr$, and $18{\sim}21mL/g$, respectively. The estimated values for the optimal extraction conditions of Acanthopanacis cortex's effective components and antioxidative characteristics were similar to the experimental results.

The Interpretation Of Chlorophyll a And Transparency In A Lake Using LANDSAT TM Imagery (LANDSAT TM 영상을 이용한 호소의 클로로필 a및 투명도 해석에 관한 연구)

  • 이건희;전형섭;김태근;조기성
    • Korean Journal of Remote Sensing
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    • v.13 no.1
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    • pp.47-56
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    • 1997
  • In this paper, remote sensing is used to estimate trophic state which is primary concern in a lake. In using remote sensing, this study estimated trophic state not with conventional method such as regression equations but with classification methods. As europhication is caused by the extraodinary proliferation of the algae, chlorophyll a and transparency are applied to remote sensing data.. Maximum Likelihood Classification and Minimum Distance Classification which are kinds of classification methods enabled trophic state to be confirmed in a lake. These are obtained as the result of applying remote sensing to classify trophic state in a lake. Firest, when we evaluate tropic state in a large area of water body, the application of remote sensing data can obtain more than 70% accuracies just in using basic classification methods. Second, in the aspect of classification, the accuracy of Minimum Distance Classification is usually better than that of Maximum Likelihood Classification. This result is caused that samples have normal distribution, but their numbers are a few to apply statistical method. Therefore, classification method is required such as artificial neural networks which are not influenced by statistical distribution. Third, this study enables the trophic state of water body to be analyzed and evaluated rapidly, periodically and visibly. Also, this study is good for forming proper countermeasure accompanying with trophic state progress extent in a lake and is useful for basic-data.

Vicarious Radiometric Calibration of the Ground-based Hyperspectral Camera Image (지상 초분광카메라 영상의 복사보정)

  • Shin, Jung-Il;Maghsoudi, Yasser;Kim, Sun-Hwa;Kang, Sung-Jin;Lee, Kyu-Sung
    • Korean Journal of Remote Sensing
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    • v.24 no.2
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    • pp.213-222
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    • 2008
  • Although hyperspectral sensing data have shown great potential to derive various surface information that is not usually available from conventional multispectral image, the acquisition of proper hyperspectral image data are often limited. To use ground-based hyperspectral camera image for remote sensing studies, radiometric calibration should be prerequisite. The objective of this study is to develop radiometric calibration procedure to convert image digital number (DN) value to surface reflectance for the 120 bands ground-based hyperspectral camera. Hyperspectral image and spectral measurements were simultaneously obtained from the experimental target that includes 22 different surface materials of diverse spectral characteristics at wavelength range between 400 to 900 nm. Calibration coefficients to convert image DN value to at-sensor radiance were initially derived from the regression equations between the sample image and spectral measurements using ASD spectroradiometer. Assuming that there is no atmospheric effects when the image acquisition and spectral measurements were made at very close distance in ground, we were also able to derive calibration coefficients that directly transform DN value to surface reflectance. However, these coefficients for deriving reflectance values should not be applied when the camera is used for aerial image that contains significant effect from atmosphere and further atmospheric correction procedure is required in such case.

Prediction of Optimal Extraction Conditions in Microwave-Assisted Process for Antioxidant-Related Components from Thymus quinquecostatus (Microwave-Assisted Process에 의한 섬백리향의 항산화 관련 성분의 최적 추출조건 예측)

  • Kwon Young-ju;Noh Jung-eun;Lee Jung-eun;Lee Sung-Ho;Choi Yong-Hee;Kwon Joong-Ho
    • Food Science and Preservation
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    • v.12 no.4
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    • pp.344-349
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    • 2005
  • Microwave-assisted process (MAP) was applied to extract antioxidant-related components from Thymus quinquecostatus var. japonica Hara. Microwave power(2,450 MHz, $0{\sim}160$ W) and extraction time($1{\sim}5\;min$) were used as independent variables($X_i$) for central composite design to yield 10 different extraction conditions. Response surface methodology was applied to predict optimum extraction conditions for dependent variables of extracts, such as total yield, total phenolics, flavonoid, and electron donation ability depending on different powers and extraction times of MAP. Determination coefficients($R^2$) of regression equations for dependent variables were higher than 0.93 excluding that of total phenolics, and microwave power was predicted more influential than extraction time in MAP (p<0.05). The optimal extraction time for each dependent variable was ranged from 3.36 to 4.97 min, but microwave power showed wide ranges depending on variables. The superimposed contour maps for maximized dependent variables illustrated extraction conditions of 64 to 100 W in microwave power and 2.9 to 4.0 min in extraction time.

Comparison of Several Methods for the Determination of Available Phosphorus in the Soils for Corn and Rice (전(田)·답토양(畓土壤)의 유효인산(有效燐酸) 분석방법(分析方法) 비교(比較) 연구(硏究))

  • Park, Baeg-Gyoon;Yoon, Jung-Hui;Ho, Qyo-Soon
    • Korean Journal of Soil Science and Fertilizer
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    • v.31 no.1
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    • pp.1-8
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    • 1998
  • To compare different methods for the determination of available soil P in the relationship between the soil P and plant uptake of P, rice and corn were cultivated in the pot filled with soils of different available P contents. The soils were taken from 20 rice fields and 20 upland soils. The available soil P were determined before the experiment by Olsen, Lancaster, Bray 1, Bray 2, Mehlich II and Calcium lactate methods and the correlations between the available soil P measured by different methods and the amount of P taken up by corn at 10 leaf stage and by rice at maximum tillering stage were investigated. In upland soils, the available P measured by all the methods was linearly regressed with high significance to the amount of P taken up by corn. The coefficients of determination($R^2$) in the regression equations ranged from 0.596(Calcium lactate method) to 0.891(Olsen method). In rice soils, the soil available P did not regressed by first-order to the amount of P taken up by rice plant, while Michaelis-Menten equation better explained the relationship between the two parameters. In the Michaelis-Menten equation the coefficients of determination for each analytical method ranged from 0.607(Mehlich II method) to 0.923(Lancaster method). Based upon these observations it is concluded that for testing of available P for corn soils Olsen, Bray 2 and Lancaster methods are equally superior to other methods. For rice soils Lancaster, Bray 1, and Bray 2 methods are better than others.

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Prediction of calcium and phosphorus requirements for pigs in different bodyweight ranges using a meta-analysis

  • Jeon, Se Min;Hosseindoust, Abdolreza;Ha, Sang Hun;Kim, Tae Gyun;Mun, Jun Young;Moturi, Joseph;Lee, SuHyup;Choi, Yo Han;Lee, Sang Deok;Sa, Soo Jin;Kim, Jin Soo
    • Journal of Animal Science and Technology
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    • v.63 no.4
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    • pp.827-840
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    • 2021
  • Several studies have focused on Ca and P requirements for pigs. These requirements are estimated from their retention and bone formation. However, modern pig breeds have different responses to dietary Ca and P than traditional breeds, and their requirements are expected to change on an annual basis. Besides individual Ca and P needs, the Ca to P ratio (Ca/P) is an important factor in determining requirements. This study aimed to implement a linear and quadratic regression analysis to estimate Ca and P requirements based on average daily gain (ADG), apparent total tract digestibility (ATTD) of Ca (ATTD-Ca), ATTD of P (ATTD-P), and crude protein (CP) digestibility. Results show that Ca/P had linear and quadratic effects on ADG in the phytase-supplemented (PS) group in both the 6-11 kg and 11-25 kg categories. In the latter category, the CP digestibility was linearly increased in response to increasing Ca/P in the without-phytase (WP) group. In the 25-50 kg category, there was a linear response of ADG and linear and quadratic responses of CP digestibility to Ca/P in the PS group, while a linear and quadratic increase in CP digestibility and a quadratic effect on ATTD-Ca were observed in the WP group. In the 50-75 kg category, Ca/P had significant quadratic effects on ADG in the PS and WP groups, along with significant linear and quadratic effects on ATTD-Ca. In addition, Ca/P had significant quadratic effects on ATTD-P and led to a significant linear and quadratic increase in the CP digestibility in the WP group. In the 75-100 kg category, analysis showed a significant decrease in ATTD-Ca and ATTD-P in the PS and WP groups; in the latter, ATTD-P and ATTD-Ca were linearly decreased by increasing Ca/P. In conclusion, our equations predicted a higher Ca/P in the 6-25 kg bodyweight categories and a lower Ca/P in the 50-100 kg category than that recommended in the literature.