• Title/Summary/Keyword: Trapezoidal rule

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Displacements, damage measures and response spectra obtained from a synthetic accelerogram processed by causal and acausal Butterworth filters

  • Gundes Bakir, Pelin;Richard, J. Vaccaro
    • Structural Engineering and Mechanics
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    • v.23 no.4
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    • pp.409-430
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    • 2006
  • The aim of this study is to investigate the reliability of strong motion records processed by causal and acausal Butterworth filters in comparison to the results obtained from a synthetic accelerogram. For this purpose, the fault parallel component of the Bolu record of the Duzce earthquake is modeled with a sum of exponentially damped sinusoidal components. Noise-free velocities and displacements are then obtained by analytically integrating the synthetic acceleration model. The analytical velocity and displacement signals are used as a standard with which to judge the validity of the signals obtained by filtering with causal and acausal filters and numerically integrating the acceleration model. The results show that the acausal filters are clearly preferable to the causal filters due to the fact that the response spectra obtained from the acausal filters match the spectra obtained from the simulated accelerogram better than that obtained by causal filters. The response spectra are independent from the order of the filters and from the method of integration (whether analytical integration after a spline fit to the synthetic accelerogram or the trapezoidal rule). The response spectra are sensitive to the chosen corner frequency of both the causal and the acausal filters and also to the inclusion of the pads. Accurate prediction of the static residual displacement (SRD) is very important for structures traversing faults in the near-fault regions. The greatest adverse effect of the high pass filters is their removal of the SRD. However, the noise-free displacements obtained by double integrating the synthetic accelerogram analytically preserve the SRD. It is thus apparent that conventional high pass filters should not be used for processing near-fault strong-motion records although they can be reliably used for far-fault records if applied acausally. The ground motion parameters such as ARIAS intensity, HUSID plots, Housner spectral intensity and the duration of strong-motion are found to be insensitive to the causality of filters.

Bioequivalence Evaluation of Two brands of Cetirizine HCl 10 mg Tablets (Zyrix and Zyrtec) in Healthy Male Volunteers

  • Im, Ho-Taek;Won, Jong-Hoen;Cho, Sung-Hee;Lee, Heon-Woo;Park, Wan-Su;Rew, Jae-Hwan;Lee, Kyung-Tae
    • Journal of Pharmaceutical Investigation
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    • v.35 no.5
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    • pp.355-360
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    • 2005
  • The purpose of the present study was to evaluate the bioequivalence of two cetirizine HCl tablets, Zyrtec tablet (UCB Pharm. Co., Ltd. Korea, reference product) and Zyrix tablet (Kukje Pharm. Co., Ltd., Korea, test product), according to the guidelines of Korea Food and Drug Administration (KFDA). After adding an internal standard (diazepam), plasma samples were extracted using 1 mL of dichloromethane. Compounds extracted were analyzed by reverse-phase HPLC with ultra-violet detector. This method for determination cetirizine is proved accurate and reproducible with a limit of quantitation of 10 ng/mL in male plasma. Twenty-four healthy male Korean volunteers received each medicine at the cetirizine HCl dose of 10 mg in a $2{\times}2$ crossover study. There was a one-week wash out period between the doses. Plasma concentrations of cetirizine were monitored for over a period of 24 hr after the administration. AUC (the area under the plasma concentration-time curve) was calculated by the linear trapezoidal rule. $C_{max}$ (maximum plasma drug concentration) and $T_{max}$ (time to reach $C_{max}$) were compiled from the plasma concentration-time data. Analysis of variance was carried out using logarithmically transformed AUC and $C_{max}$. No significant sequence effect was found for all of the bioavailability parameters indicating that the crossover design was properly performed. The 90% confidence intervals for the log transformed data were acceptable range of log 0.8 to log 1.25 $(e.g.,\;log\;0.93-log\;1.08\;for\;AUC_{0-t},\;log\;0.91-log\;1.08\;for\;AUC_{0-{\infty}}\;and\;log\;1.01-log\;1.11\;for\;C_{max})$. The major parameters, AUC and $C_{max}$ met the criteria of KFDA for bioequivalence indicating that Zyrix tablet is bioequivalent to Zyrtec tablet.

Bioequivalence Assessment of Acephyll® Capsule to Surfolase® Capsule (Acebrophylline HCl 100 mg) by Liquid Chromatography Tandem Mass Spectrometry

  • Nam, Kyung-Don;Seo, Ji-Hyung;Yim, Sung-Vin;Lee, Kyung-Tae
    • Journal of Pharmaceutical Investigation
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    • v.41 no.5
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    • pp.309-315
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    • 2011
  • A sensitive and specific liquid chromatographic method coupled with tandem mass spectrometry (LC-MS/MS) was developed for the analysis of ambroxol (active moiety of acebrophylline). After acetonitrile precipitation of proteins from plasma samples, ambroxol and the domperidone (internal standard, IS) were eluted on a C18 column. The isocratic mobile phase was consisted of 10 mM ammonium acetate and methanol (10 : 90, v/v), with flow rate at 0.2 mL/min. A tandem mass spectrometer, as detector, was used for quantitative analysis in positive mode by a multiple reaction monitoring mode to monitor the m/z 379.2${\rightarrow}$264.0 and the m/z 426.2${\rightarrow}$175.1 transitions for ambroxol and the IS, respectively. Twenty four healthy Korean male subjects received two capsules (100 mg ${\times}$ 2) of either the test or the reference formulation of acebrophylline HCl in a 2 ${\times}$ 2 crossover study, this was followed by a 1week washout period between either formulation. $AUC_{0-t}$ (the area under the plasma concentration-time curve) was calculated by the linear trapezoidal rule. $C_{max}$ (maximum plasma drug concentration) and $T_{max}$ (time to reach $C_{max}$) were compiled from the plasma concentration-time data. The 90% confidence intervals for the log transformed data were acceptable range of log 0.8 to log 1.25 (e.g., log 0.8964 - log 0.9910 for $AUC_{0-t}$ log 0.8690 - log 1.0750 for $C_{max}$). The major parameters, $AUC_{0-t}$ and $C_{max}$ met the criteria of Korea Food and Drug Administration for bioequivalence indicating that Acephyll$^{(R)}$ capsule (test) is bioequivalent to Surfolase$^{(R)}$ capsule (reference).

Optimization of Active Tendon Controlled Structures by Efficient Solution of LQR Control Gain (LQR 제어이득의 효율적 산정에 의한 능동텐던 구조물의 최적화)

  • Cho, Chang-Geun;Kyun, Jun-Myong;Jung, In-Kju;Park, Moon-Ho
    • Journal of Korean Association for Spatial Structures
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    • v.8 no.4
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    • pp.73-80
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    • 2008
  • The objective of current study is to develop an optimization technique for the seismic actively controlled building structures using active tendon devices by an efficient solution of LQR control gain. In order to solve the active control system, the Ricatti closed-loop algorithm has been applied, and the state vector has been formulated by the transfer matrix and solved by a numerical technique of the trapezoidal rule. The time-delay problem has been also considered by phase compensation. To optimize the performance index, the ratio of the weighted matrix is the design variable, allowable story drift limits of IBC 2000 and tendon forces have been applied as restraint conditions, and the optimum control program has been developed with the algorithm of the SUMT technique. In examples of the optimization problem of eight stories shear buildings, it is evaluated that the optimum controlled building is more suitable in the control of earthquake response than the uncontrolled system and can reduce the performance index to compare with the controlled system with a constant ratio of the weighted matrix.

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A Study on the Earthwork Volume Decision using the Spline Interpolation (Spline보간법을 이용한 토공량결정에 관한 연구)

  • 문두열
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.18 no.3
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    • pp.305-313
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    • 2000
  • The calculation of earthwork plays a major role in plan or design of many civil engineering projects, and thus it has become very important to advanced the accuracy of earthwork calculation. Current methods used for estimating the volume of pit excavation assumes that the ground profile between the grid points is linear(trapezoidal rule), or nonlinear(simpson's formulas). Generally speaking. the nonlinear profile formulas provide better accuracy than the linear profile formulas. However, all the formulas mentioned have a common drawback to ground profile, such as sharp corners or the grid points of any two straight lines. In this paper, mathematical model for a searching examination the drawbacks of the current methods is presented. Also, the presented formular, the spot height method, and chamber formulas, chen and lin method are compared with the volumes of the pits in these examples. As a result of this study, algorithm of a proposal area formula by spline method should provide a better accuracy than the spot height method, chamber formulas, chen and lin method. The mathematical model mentioned make an offer maximum accuracy in estimating the volume of a pit excavation.

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Numerical Formulation for Flow Analysis of Dredged Soil (준설토 유동해석을 위한 유한요소 수식화)

  • Shin, Hosung
    • Journal of the Korean GEO-environmental Society
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    • v.15 no.3
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    • pp.41-48
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    • 2014
  • Experimental study of sedimentation and self-weight consolidation has been primary research area in dredged soil. However, good quality of the dredged soil and minimum water pollution caused by the pumping of reclaimed soil require intensive study of the flow characteristics of dredged material due to dumping. In this study, continuity and the equilibrium equations for mass flow assuming single phase was derived to simulate mass flow in dredged containment area. To optimize computation and modeling time for three dimensional geometry and boundary conditions, depth integration is applied to governing equations to consider three dimensional topography of the site. Petrov-Galerkin formulation is applied in spatial discretization of governing equations. Generalized trapezoidal rule is used for time integration, and Newton iteration process approximated the solution. DG and CDG technique were used for weighting matrix in discontinuous test function in dredged flow analysis, and numerical stability was evaluated by performed a square slump simulation. A comparative analysis for numerical methods showed that DG method applied to SU / PG formulation gives minimal pseudo oscillation and reliable numerical results.

Bioequivalence of DonpezilTM Tablet to AriceptTM Tablet (Donepezil Hydrochloride 10 mg) (아리셉트 정(염산도네페질 10 mg)에 대한 돈페질 정의 생물학적동등성)

  • Lee, Hyun-Su;Seo, Ji-Hyung;Kang, Il-Mo;Lee, Heon-Woo;Ryu, Ju-Hee;Lee, Kyung-Tae
    • Journal of Pharmaceutical Investigation
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    • v.37 no.1
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    • pp.57-62
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    • 2007
  • The purpose of the present study was to evaluate the bioequivalence of two donepezil tablets, $Aricept^{TM}$ tablet (Dae Woong Pharm. Co., Ltd., Korea, reference drug) and $Donpezil^{TM}$ tablet (Dong Wha Pharm. Ind. Co., Ltd., Korea, test drug), according to the guidelines of Korea Food and Drug Administration (KFDA). Twenty-four healthy male Korean volunteers received one tablet containing donepezil hydorchloride 10 mg in a $2{\times}2$ crossover study. There was a three-week washout period between the doses. Plasma concentrations of donepezil were monitored by an LC-MS/MS far over a period of 240 hr after the administration. $AUC_t$, (the area under the plasma concentration-time curve from time zero to 240 hr) was calculated by the linear trapezoidal rule method. $C_{max}$ (maximum plasma drug concentration) and $T_{max}$ (time to reach $C_{max}$)were compiled from the plasma concentration-time data. Analysis of variance was carried out using logarithmically transformed $AUC_t$ and $C_{max}$, No significant sequence effects were found for all of the bioavailability parameters indicating that the crossover design was properly performed. The 90% confidence intervals of the $AUC_t$ and $C_{max}$ were log 0.95${\sim}$log 1.03 and log 0.94${\sim}$log 1.08, respectively. These values were within the acceptable bioequivalence intervals of log 0.80${\sim}$log 1.25. Taken together, our study demonstrated the bioequivalence of $Aricept^{TM}$ and $Donpezil^{TM}$ with respect to the rate and extent of absorption.

Free Vibrations of Arbitrary Tapered Beams with Static Deflections due to Arbitrary Distributed Dead Loads (임의분포 사하중에 정적변위를 갖는 변단면 보의 자유진동)

  • Lee, Byoung-Koo;Lee, Yong
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.38 no.3
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    • pp.50-57
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    • 1996
  • A numerical method is presented to obtain the natural frequencies and mode shapes of the arbitrary tapered beams with static deflection due to arbitrary distributed dead loads. The differential equation governing free vibration of such beams is derived and solved numerically. The double integration method using the trapezoidal rule is used to solve the static behaviour of beams loaded arbitrary distributed dead load. Also, the Improved Euler method and the determinant search method are used to integrate the differential equation subjected to the boundary conditions and to determine the natural frequencies of the beams, respectively. In the numerical examples, the various geometries of the beams are considered : (1) linearly tapered beams as the arbitrary variable cross-section, (2) the triangular, sinusoidal and uniform loads as the arbitrary distributed dead loads and (3) the hinged-hinged, clamped-clamped and hinged-clamped ends as the end constraints. All numerical results are shown as the non-dimensional forms of the system parameters. The lowest three natural frequencies versus load parameter, slenderness ratio and section ratio are reported in figures. And for the comparison purpose, the typical mode shapes with and without the effects of static deflection are presented in the figure. According to the numerical results obtained in this analysis, the following conclusions may be drawn : (1) the natural frequencies increase when the effects of static deflections are included, (2) the effects are larger at the lower modes than the higher ones and (3) it should be betteF to include the effect of static deflection for calculating the frequencies when the beams are supported by both hinged ends or one hinged end.

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Pharmacokinetic Comparison of Actonel and Risenel Tablet Containing Risedronate sodium in Healthy Volunteers (건강한 지원자에 있어서 리세드로네이트 35 mg 함유 악토넬정과 리세넬정의 약물 동력학적 비교)

  • Choi, Sung-Up;Kim, Young-Il;Park, Young-Joon;Lee, Jong-Oh;Song, Jin-Ho;Cho, Seong-Wan
    • Korean Journal of Clinical Pharmacy
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    • v.19 no.1
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    • pp.23-31
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    • 2009
  • The aim of this study was to evaluate the pharmacokinetic parameters of two risedronate preparations. The clinical assessment was conducted on 46 healthy volunteers who received one tablet (Risedronate sodium 35 mg/tablet) in the fasting state, in a randomized balanced $2{\times}2$ cross-over study design. After dosing of one tablet containing 35 mg risedronate sodium, blood samples were collected serially for a period of 48 hours. Plasma was analyzed for risedronate by using LC/MS/MS assay method. The analysis system was validated in specificity, accuracy, precision, and linearity. $AUC_t$, (the area under the plasma concentration-time curve from the zero-time to 48 hr) was calculated through the trapezoidal rule. $C_{max}$ (maximum plasma drug concentration) were compiled from the plasma risedronate concentration-time data of each volunteer. No significant sequence effect was found for the pharmacokinetic parameters indicating that the cross-over design was properly performed. The 90 % - Confidence intervals of the $AUC_t$ ratio and the $C_{max}$ were from log 0.8752 to log 1.1888 and log 0.8457 to log 1.1478, respectively. These values were within the acceptable intervals between 0.80 and 1.25. Therefore, this study demonstrated that no statistically significant difference was identified with respect to the rate and extent of absorption.

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Bioequivalence of GomcillinTM Capsule to FamoxinTM Capsule (Amoxicillin 500 mg) (파목신 캅셀(아목시실린 500 mg)에 대한 곰실린 캅셀의 생물학적동등성)

  • Lee, Yun-Young;Choi, Mee-Hee;Lee, Kyung-Ryul;Lee, Hee-Joo
    • Journal of Pharmaceutical Investigation
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    • v.34 no.4
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    • pp.311-317
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    • 2004
  • A bioequivalence study of $Gomcillin^{TM}$ capsules (DAEWOONG Pharmaceutical Co., Korea) to $Famoxin^{TM}$ capsules (Dong Wha Pharm. Ind. Co., Korea) was conducted according to the guideline of Korea Food and Drug Administration (KFDA). Twenty four healthy male Korean volunteers received each medicine at the amoxicillin dose of 500 mg in a $2{\times}2$ crossover study. There was a one-week wash out period between the doses. Plasma concentrations of amoxicillin were monitored by a high-performance liquid chromatography for over a period of 8 hours after the administration. $AUC_t$ (the area under the plasma concentration-time curve from time zero to 8 hr) was calculated by the linear trapezoidal rule method. $C_{max}$ (maximum plasma drug concentration) and $T_{max}$ (time to reach $C_{max}$) were compiled from the plasma concentration-time data. Analysis of variance was carried out using logarithmically transformed $AUC_t$ and $C_{max}$. No significant sequence effect was found for all of the bioavailability parameters indicating that the crossover design was properly performed. The 90% confidence intervals of the $AUC_t$ ratio and the $C_{max}$ ratio for $Gomcillin^{TM}/Famoxin^{TM}$ were $log0.91\;{\sim}\;log1.03$ and $;log0.93\;{\sim}\;log1.10$, respectively. These values were within the acceptable bioequivalence intervals of $log0.80\;{\sim}\;log1.25$. Thus, our study demonstrated the bioequivalence of $Gomcillin^{TM}$ and $Famoxin^{TM}$ with respect to the rate and extent of absorption.