• Title/Summary/Keyword: derivative models

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Dynamic analysis of a transversely isotropic non-classical thin plate

  • Fadodun, Odunayo O.;Borokinni, Adebowale S.;Layeni, Olawanle P.;Akinola, Adegbola P.
    • Wind and Structures
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    • v.25 no.1
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    • pp.25-38
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    • 2017
  • This study investigates the dynamic analysis of a transversely isotropic thin plate. The plate is made of hyperelastic John's material and its constitutive law is obtained by taken the Frechect derivative of the highlighted energy function with respect to the geometry of deformation. The three-dimensional equation governing the motion of the plate is expressed in terms of first Piola-Kirchhoff's stress tensor. In the reduction to an equivalent two-dimensional plate equation, the obtained model generalizes the classical plate equation of motion. It is obtained that the plate under consideration exhibits harmonic force within its planes whereas this force varnishes in the classical plate model. The presence of harmonic forces within the planes of the considered plate increases the natural and resonance frequencies of the plate in free and forced vibrations respectively. Further, the parameter characterizing the transversely isotropic structure of the plate is observed to increase the plate flexural rigidity which in turn increases both the natural and resonance frequencies. Finally, this study reinforces the view that non-classical models of problems in elasticity provide ample opportunity to reveal important phenomena which classical models often fail to apprehend.

Study on Prediction of Internal Quality of Cherry Tomato using Vis/NIR Spectroscopy (가시광 및 근적외선 분광기법을 이용한 방울토마토의 내부품질 예측에 관한 연구)

  • Kim, Dae-Yong;Cho, Byoung-Kwan;Mo, Chang-Yeun;Kim, Young-Sik
    • Journal of Biosystems Engineering
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    • v.35 no.6
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    • pp.450-457
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    • 2010
  • Although cherry tomato is one of major vegetables consumed in fresh vegetable market, the quality grading method is mostly dependant on size measurement using drum shape sorting machines. Using Visible/Near-infrared spectroscopy, apparatus to be able to acquire transmittance spectrum data was made and used to estimate firmness, sugar content, and acidity of cherry tomatoes grown at hydroponic and soil culture. Partial least square (PLS) models were performed to predict firmness, sugar content, and acidity for the acquired transmittance spectra. To enhance accuracy of the PLS models, several preprocessing methods were carried out, such as normalization, multiplicative scatter correction (MSC), standard normal variate (SNV), and derivatives, etc. The coefficient of determination ($R^2_p$) and standard error of prediction (SEP) for the prediction of firmness, sugar, and acidity of cherry tomatoes from green to red ripening stages were 0.859 and 1.899 kgf, with a preprocessing of normalization, 0.790 and $0.434^{\circ}Brix$ with a preprocessing of the 1st derivative of Savitzky Golay, and 0.518 and 0.229% with a preprocessing normalization, respectively.

Discrimination of Alismatis Rhizoma According to Geographical Origins using Near Infrared Spectroscopy (근적외선분광법을 이용한 택사의 산지 판별법 연구)

  • Lee, Dong Young;Kim, Seung Hyun;Kim, Hyo Jin;Sung, Sang Hyun
    • Korean Journal of Pharmacognosy
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    • v.44 no.4
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    • pp.344-349
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    • 2013
  • Near infrared spectroscopy (NIRS) combined with multivariate analysis was used to discriminate the geographical origin of Alisma orientale from Korea (n=94) and China (n=72). Two-thirds of samples were selected randomly for the training set, and one-third of samples for the test set. Second derivative was used for the pretreatment of NIR spectra. Partial least square discriminant analysis (PLS-DA) models correctly discriminated 100% of the Korean and Chinese A. orientale samples. These results demonstrate the potential use of NIR spectroscopy combined with multivariate analysis as a rapid and accurate method to discriminate A. orientale according to their geographical origin.

Polyethyleneimine Derivative for Nucleic Acid Model

  • Lee, Chan-Woo;Chae, Hee-Jeong;Kwon, Young-Jin
    • Biotechnology and Bioprocess Engineering:BBE
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    • v.10 no.3
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    • pp.205-211
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    • 2005
  • Water-soluble polyethyleneimine (PE) derivatives containing nucleic acid bases and hydrophilic amino acids such as homoserine (Hse) and serine were prepared by the activated ester method as nucleic acid models. From spectroscopic measurements, the polymers were found to interact with DNA accompanied by an induction of conformational change. Hypochromicity in UV spectra indicated that a stable polymer complex was formed between poly (A) with PEI­Hse-Ura by complementary hydrogen bonding with equimolar nucleic base units (adenine:uracil=1:1). The induced conformation of DNA by the interaction with the polymer containing uracil and homoserine (PEI-Hse-Ura) was concluded to be a super triple helical structure. The formation of the polymer complex, DNA: PEI-Hse-Ura, was found to be affected by the presence of metal ions such as $Ca^{2+}\;and\;Cu^{2+}$.

PID Learning Controller for Multivariable System with Dynamic Friction (동적 마찰이 있는 다변수 시스템에서의 PID 학습 제어)

  • Chung, Byeong-Mook
    • Journal of the Korean Society for Precision Engineering
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    • v.24 no.12
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    • pp.57-64
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    • 2007
  • There have been many researches for optimal controllers in multivariable systems, and they generally use accurate linear models of the plant dynamics. Real systems, however, contain nonlinearities and high-order dynamics that may be difficult to model using conventional techniques. Therefore, it is necessary a PID gain tuning method without explicit modeling for the multivariable plant dynamics. The PID tuning method utilizes the sign of Jacobian and gradient descent techniques to iteratively reduce the error-related objective function. This paper, especially, focuses on the role of I-controller when there is a steady state error. However, it is not easy to tune I-gain unlike P- and D-gain because I-controller is mainly operated in the steady state. Simulations for an overhead crane system with dynamic friction show that the proposed PID-LC algorithm improves controller performance, even in the steady state error.

Near Infrared Spectroscopy of LAS (linear alkyl benzene sulfonate) (근적외선 분광분석법을 이용한 LAS (linear alkyl benzene sulfonate)의 정량분석법)

  • 조창희;최병기;김효진
    • Environmental Analysis Health and Toxicology
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    • v.15 no.1_2
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    • pp.39-43
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    • 2000
  • Linear alkyl sulfonates (LAS) constitute a large fraction of the surfactants used in cleaning processes in households, trade and industry Despite the industrial significance and the possible environmental impact of these compounds, the fast and inexpensive determination of LAS concentrations is still a difficult task. In this study, near infrared (NIR) spectroscopy which is a rapid spectroscopic analysis method compared with a traditional analytical method for the measurement of LAS concentration such as HPLC, GC and standard wet chemistry method. NIR spectra of LAS between 0.313 and 25.0% (w/v) in water were utilized to develop a calibration model. The best results (R = 0.998, SEP = 0.244% (w/v)) obtained by using partial least-squares regression with spectral data treatment and 2nd derivatization were comparable to the results (SEC = 0.186% (w/v), SEP = 0.206% (w/v)) obtained by using multiple linear least-squares regression (MLR). However, models based on derivative spectra have no significant advantage with MLR.

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A FRACTIONAL-ORDER TUMOR GROWTH INHIBITION MODEL IN PKPD

  • Byun, Jong Hyuk;Jung, Il Hyo
    • East Asian mathematical journal
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    • v.36 no.1
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    • pp.81-90
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    • 2020
  • Many compartment models assume a kinetically homogeneous amount of materials that have well-stirred compartments. However, based on observations from such processes, they have been heuristically fitted by exponential or gamma distributions even though biological media are inhomogeneous in real environments. Fractional differential equations using a specific kernel in Pharmacokinetic/Pharmacodynamic (PKPD) model are recently introduced to account for abnormal drug disposition. We discuss a tumor growth inhibition (TGI) model using fractional-order derivative from it. This represents a tumor growth delay by cytotoxic agents and additionally show variations in the equilibrium points by the change of fractional order. The result indicates that the equilibrium depends on the tumor size as well as a change of the fractional order. We find that the smaller the fractional order, the smaller the equilibrium value. However, a difference of them is the number of concavities and this indicates that TGI over time profile for fitting or prediction should be determined properly either fractional order or tumor sizes according to the number of concavities shown in experimental data.

A study on the PID controller-gain tuning of the magnetically suspended milling spindle for chatter-free cutting (채터없는 안정 가공을 위한 자기베어링 밀링 주축의 PID 제어 게인 튜닝 연구)

  • 경진호;노승국;박종권;박선원
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2003.06a
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    • pp.117-120
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    • 2003
  • A method for PID controller tuning based on process models for unstable processes was introduced. The optimal. proportional and derivative gains of the AMBs were determined by the tuning method and utilized for the chatter stability analysis in order to search for the chatter-free cutting region. The stability analysis results showed that the optimal gains give wider chatter-free cutting region, and as a result the proposed tuning method was confirmed to be an effective tuning method for determining the optimal gains of the AMBs.

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Coordination Chemical Approach to the Safety of Nitrofuran Drugs I. Reduction of Nitrofurazone Catalyzed by Molybdothiol Complexes (Nitrofuran계 의약품의 안전성에 관한 착물화학적 연구(I) Mo-thiol착물에 의한 Nitrofurazone의 촉매환원)

  • 김종윤;김보길
    • YAKHAK HOEJI
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    • v.21 no.4
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    • pp.184-192
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    • 1977
  • In the presence of dithionite, two kinds of molybdothiol complexes, particularly isolated Mo-cysteine complexes, used as models for xanthine oxidase or aldehyde oxidase exhibited catalytic activity on the reduction of nitrofurazone to its amino derivative. Of the two Mo-cysteine complexes, the activity of oxo-bridged one was apparently greater than that of sulfido-bridged one. The promoting effect was hardly shown by added cofactors or their replacements of the enzymes. The catalyzed reduction is considered to take place by consecutive direct two-electron transfer mechanism from catalytically active reduced form of the molybdothiol complexes to nitrofurazone and the probable intermediates.

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An Economy Analysis on the Underground Food Storage (농수축산물저장을 위한 지하암반냉동창고의 경제성분석)

  • 김준홍
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.19 no.38
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    • pp.189-197
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    • 1996
  • It is in general reported that construction cost in an underground storage facility is less than that of the same capacity and features in an aboveground facility. Since these costs have a derivative with respect to facility size and fridging unit, the cost of construction and fridging unit are sensitive to location of storage, items to store, and rock quality of storage site. In this paper, to analyse an economic investment point for the underground food storage relative to aboveground storage, we compared these two models which have equivalent annual cost with the total cost that consists of initial facility investment cost and annual operation cost. Based on comparison of the economic investment in the underground with aboveground storage. an economic initial investment cost has been suggested for storing the agricultural and fish products.

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