• Title/Summary/Keyword: Cube root

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Consideration on Limitations of Square and Cube Root Scaled Distances in Controled Blast Design (제어발파설계에서 자승근 및 삼승근 환산거리 기법의 적용한계에 대한 고찰)

  • Choi, Byung-Hee;Ryu, Chang-Ha;Jeong, Ju-Hwan
    • Explosives and Blasting
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    • v.28 no.1
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    • pp.27-39
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    • 2010
  • Blast design equations based on the concept of scaled distances can be obtained from the statistical analysis on measured peak particle velocity data of ground vibrations. These equations represents the minimum scale distance of various recommendations for safe blasting. Two types of scaled distance widely used in Korea are the square root scaled distance (SRSD) and cube root scaled distance (CRSD). Thus, the design equations have the forms of $D/\sqrt{W}{\geq}30m/kg^{1/2}$ and $D/\sqrt[3]{W}{\geq}60m/kg^{1/3}$ in the cases of SRSD and CRSD, respectively. With these equations and known distance, we can calculate the maximum charge weight per delay that can assure the safety of nearby structures against ground vibrations. The maximum charge weights per delay, however, are in the orders of $W=O(D^2)$ and $W=O(D^3)$ for SRSD and CRSD, respectively. So, compared with SRSD, the maximum charge for CRSD increases without bound especially after the intersection point of these two charge functions despite of the similar goodness of fits. To prevent structural damage that may be caused by the excessive charge in the case of CRSD, we suggest that CRSD be used within a specified distance slightly beyond the intersection point. The exact limit is up to the point, beyond which the charge difference of SRSD and CRSD begins to exceed the maximum difference between the two within the intersection point.

On the vibration influence to the running power plant facilities when the foundation excavated of the cautious blasting works. (노천굴착에서 발파진동의 크기를 감량 시키기 위한 정밀파실험식)

  • Huh Ginn
    • Explosives and Blasting
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    • v.9 no.1
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    • pp.3-13
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    • 1991
  • The cautious blasting works had been used with emulsion explosion electric M/S delay caps. Drill depth was from 3m to 6m with Crawler Drill ${\phi}70mm$ on the calcalious sand stone (soft -modelate -semi hard Rock). The total numbers of test blast were 88. Scale distance were induced 15.52-60.32. It was applied to propagation Law in blasting vibration as follows. Propagtion Law in Blasting Vibration $V=K(\frac{D}{W^b})^n$ were V : Peak partical velocity(cm/sec) D : Distance between explosion and recording sites(m) W : Maximum charge per delay-period of eight milliseconds or more (kg) K : Ground transmission constant, empirically determind on the Rocks, Explosive and drilling pattern ets. b : Charge exponents n : Reduced exponents where the quantity $\frac{D}{W^b}$ is known as the scale distance. Above equation is worked by the U.S Bureau of Mines to determine peak particle velocity. The propagation Law can be catagorized in three groups. Cubic root Scaling charge per delay Square root Scaling of charge per delay Site-specific Scaling of charge Per delay Plots of peak particle velocity versus distoance were made on log-log coordinates. The data are grouped by test and P.P.V. The linear grouping of the data permits their representation by an equation of the form ; $V=K(\frac{D}{W^{\frac{1}{3}})^{-n}$ The value of K(41 or 124) and n(1.41 or 1.66) were determined for each set of data by the method of least squores. Statistical tests showed that a common slope, n, could be used for all data of a given components. Charge and reduction exponents carried out by multiple regressional analysis. It's divided into under loom over loom distance because the frequency is verified by the distance from blast site. Empirical equation of cautious blasting vibration is as follows. Over 30m ------- under l00m ${\cdots\cdots\cdots}{\;}41(D/sqrt[2]{W})^{-1.41}{\;}{\cdots\cdots\cdots\cdots\cdots}{\;}A$ Over 100m ${\cdots\cdots\cdots\cdots\cdots}{\;}121(D/sqrt[3]{W})^{-1.66}{\;}{\cdots\cdots\cdots\cdots\cdots}{\;}B$ where ; V is peak particle velocity In cm / sec D is distance in m and W, maximLlm charge weight per day in kg K value on the above equation has to be more specified for further understaring about the effect of explosives, Rock strength. And Drilling pattern on the vibration levels, it is necessary to carry out more tests.

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Relationship between Rock Quality Designation and Blasting Vibration Constant "K" & Decay Constant "n" by Bottom Blasting Pattern (바닥발파에서 암질지수(RQD)와 발파진동상수 K, n의 관계)

  • 천병식;오민열
    • Geotechnical Engineering
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    • v.11 no.3
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    • pp.55-68
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    • 1995
  • This paper is the analysis of the relationship between RQD and decay constant, blasting vi bration constant of cube root scaling and square root scaling, through experimental blast ins test in subway construction for excavation of shaft hole by bottom blasting. The magnitude of particle velocity is largely effected by the distance from blasting source, the maximum charge per delay and the properties of ground. In order to verify the effects of ground properties on blast-induced vibration, the relation-ship between magnitude of blasting vibration and Rock Quality Disignation which stands for joint property was studied. The results of test are verified that blasting vibration constant "K" and the absolute value("n") of decay constant relatively increse as RQD increased. According to the result, it can be predict the particle velocity by the blast -induced vibration in bottom blasting pattern.om blasting pattern.

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Coordinate and Length of Straight Transmission Line Minimally connecting X-Y axis via a Specific Point (특정지점을 경유하며 X-Y 축을 최단거리로 연결하는 전선로의 길이 산정)

  • Lee, Sang-Joong
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.29 no.9
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    • pp.65-70
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    • 2015
  • Minimal line length enables low-cost construction of the transmission lines and low-loss transportation of electric power. This paper presents a derivation to determine the coordinate and length of the straight line that minimally connects two perpendicular lines x-axis and y-axis via a specific point, using the optimization technique. The author shows a formula to obtain the minimal length, which is represented by the cube root of the coordinate given by the specific point. Case studies have been also discussed to prove the optimal solutions derived by the proposed formula.

Vibration Velocity of Rock Mass Boundary Surface (암반 경계표면의 진동속도)

  • 김일중;김영석
    • Explosives and Blasting
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    • v.15 no.4
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    • pp.11-17
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    • 1997
  • Impulsive vibration velocity is monitored at the surface and the boundary surface of rocks as various impulsive forces of horizontal and vertical directions were given to rocks which had difference in uniaxial compressive strength for investigate to the vibration velocity of rocks according to the impulsive direction and the monitoring site. The vibration velocity of the boundary surface of rocks was about 2.9 times or much larger than that of the surface at the same scaled distance in the case of horizontal impulsive forces, and was above 4.2 times in the case of vertical impulsive forces. The attenuation exponents of the vibration velocity equations in the surface and the boundary surface of rocks make a vast difference with the impulsive directions, but is makes little difference in the case of the same impulsive direction. The ratio of vibration constants of the surface to the boundary surface of rocks is that square and cube root scaled equation is a range of 2.7∼3.0 and 4.9∼5.0 respectively in the case of horizontal impulsive forces, and is a range of 4.2∼5.7 and 7.7∼11.5 respectively in the case of vertical impulsive forces.

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On the Determination of Safe Charge Weigth from the Several Predictive Equations of Blast Vibration (발파진동 예측식을 이용한 안전장약량 산정문제에 관하여)

  • 김일중;김영석
    • Tunnel and Underground Space
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    • v.5 no.2
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    • pp.89-94
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    • 1995
  • Regression analysis and a comparative study were carried out for 52 blast vibration data which were monitored by changing the monitoring distance and charge per delay. The results are as follows: 1) The square and cube root scalings and general equation which have a confidence level at the point of 90% and 99% are V90=33300(SD)-2.026 , V90=23600(SD)-1.993, V90=26300W0.755 R-2.007 and V99=48400(SD)-2.026, V99=34000(SD)-1.993 , V99=38100W0.755R-2.007, respectively. 2) There is need to decide the allowable max. charge weight per delay considering the cross points comparatively of the nomogram constructed using several predictived equations. 3) It is necessary to derive the predictive equation on the basis of blast vibration level monitored in field and to decide safe vibration level and the confidence level.

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Studies on the Dissolution Rate of Prednisolone Powder and Tablets (Prednisolone분미(粉未) 및 Prednisolone정제(錠劑)의 용출속도(溶出速度)에 관한 연구(硏究))

  • Shin, Im-Sick;Yong, Jae-Ick
    • Journal of Pharmaceutical Investigation
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    • v.4 no.4
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    • pp.26-37
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    • 1974
  • Having measured physical canstant and dissolution rate of prednisolone powder, and tablets, also particle size, particle number of powder disintegration, hardness, friability of prednisolone tablets and having also compared it's interrelationship. We obtained the results as following. 1) Dissolution rate of prednisolone powder was determinded cube root rule and: the slope $({\alpha})$ was $3.1915{\times}10^{-2}$. 2) The tablet used in this study was fourteen kind of prednisolone tablets, two kinds of which were not conformity with prednisolone dissolution rate test of U.S.P. XVIII, but the rest of them were conformity with the same test (t60% was 4.3minute in average) 3) There was no significant interrelationship between disintegration, hardness, friability and dissolution rate of prednisolone tablet used in this study but we recognized the disintegration time was greatly influenced by the dissolution rate.

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The Analysis of Munsell Value Function by Cubic Spline Method (Cubic Spline Method에 의한 Munsell Value Function의 해석)

  • Jeong, Hong-Soo;Kim, Gong-Ju;Im, Jin-Mo;Park, Pyong-Ki;Rhee, John M.
    • Textile Coloration and Finishing
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    • v.2 no.2
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    • pp.20-32
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    • 1990
  • In this paper, a new method by Cubic Spline to analyze Munsell Value Function is proposed. The values calculated by this method are compared with ones by Judd's Polynomial and Cube Root Functions, etc. For performing these computation algorithms have been developed.

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A Study on the effective Oscillation Characteristics of the Constructions of Blasting Operations in Seaside (수중 발파시 인근 구조물에 미치는 진동의 영향 연구)

  • Lee, Sin;Kang, Dae-Woo;Park, Hak-Bong
    • Explosives and Blasting
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    • v.19 no.1
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    • pp.71-84
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    • 2001
  • Korean peninsula has the most mountainous areas such as mountains and hilly country, and it is surrounded by the sea on all sides but one. In this respect, a large scaled construction works have frequently been conducted. However, it is not easy to porform a large scale blasting work without giving any harm to houses or facilities nationwide. Therefore, blasting work becomes more closely related to maintenance thing due to the development of the downtown or a large structure for key facilities. Many researches on blast in the open space and tunnel blasting have been conducted. On the contrary, research on underwater blasting operations is comparatively scanty even though much more necessity of marine development is required. In this respect, this study aims to investigate the characteristics of underwater blasting operations and to make a comparative study with blast in the open space. As a result of examining into the characteristics during underwater blasting operations, the around oscillation in case of underwater blasting operations shows significantly low compared to that in case of blast in the open space, and this means that much more cautious altitude must be taken in designing underwater blasting operations compared to the design of blast In the open space. As a result of analysis on the difference between a square root and a cube root In the equation of estimating oscillations in the actual site, it is shown that it is shown to apply a square root for the estimation of oscillation at 60 meters in case of underwater blasting operations and at 22 meters case of general blast in the open space.

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Control of Phythophthora capsici and residual characteristics by drenching of pesticides on tomato in hydroponic culture system (약제 관주처리에 의한 양액재배 토마토의 역병 방제 및 농약잔류 특성)

  • Ihm, Yang-Bin;Lee, Jung-Sup;Kyung, Kee-Sung;Kim, Chan-Sub;Oh, Kyeong-Seok;Jin, Yong-Duk;Lee, Byung-Moo
    • The Korean Journal of Pesticide Science
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    • v.6 no.4
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    • pp.287-292
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    • 2002
  • To establish effective and safe control method against Phytophthora root rot caused by Phytophthora capsici on tomato in hydroponic culture, three pesticides, oxadixyl copper hydroxide 8% WP, metalaxyl copper oxychloride 15% WP, and dimethomorph. dithianon 38% WP at 4 concentration levels were tested on potato dextrose agar medium inoculated with Phytophthora capsici. All pesticides inhibited mycelial growth, but two pesticides of them, metalaxyl copper oxychloride WP and dimethomorph. dithianon WP, were selected as effective pesticides for the efficacy test in a hydroponic culture. Forty days after transplanting of tomato seedlings, 4 ml of sporangia of P. capsici (about 25 sporangi/ml) per plot was inoculated around tomato plant root, and then 5 days after inoculation, the pesticides diluted at 5,000 times were drenched 1, 2 or 3 times per plot on the culture cube at 15 days interval. Fifteen days after drenching, tomato fruits and hydroponic culture solution were sampled for the analysis of pesticide residues. Dimethomorph was detected 0.001 and 0.003 mg/kg in tomato of the plots sprayed 2 and 3 times with dimethomorph dithianon WP of which detection levels were far below compared with 1.0 mg/kg of the Korean MRL of dimethomorph on tomato. Incidences of Phytophthora root rot were $30.5{\sim}50%$ in the plots drenched at 1 or 2 times with metalaxyl.copper oxychloride WP, and $16.7{\sim}25%$ in the plots treated with dimethomorph dithianon WP. However, there was no incidence of Phytophthora root rot in the plots treated at 3 times with both of pesticides, showing no phytotoxic effect. Based on the results, the drenching of these pesticides on the culture cube could be recommended as a very safe and effective control method for Phytophthora root rot in tomato.