• 제목/요약/키워드: Approximation-free

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스토우크스파에서의 수입자 운동 (Lagrangian Motion of Water Particles in Stokes Waves)

  • Kim, Tae-In;Hwang, Im-Koo
    • 한국해안해양공학회지
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    • 제4권4호
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    • pp.187-200
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    • 1992
  • Taylor 정리를 이용하여 평균위치에서의 Eulerian유속으로부터 수립자의 시간에 따른 Lagrangian 운동궤적을 결정하는 방법이 제안되었다. 이 방법을 Stokes 유한진폭파이론에 적용하여 고차 파성분을 포함하는 수립자의 운동궤적과 질양이동속도를 결정하였다. Stokes 5차파이론의 적용 결과, 평균위치에서의 Eulerian 유속으로부터 결정한 수립자의 운동궤적은 자유수면 부근을 제외하고는 5차파이론에 의한 순간속도에 의해 계산된 값과 매우 좋은 일치를 보여주었다. Stokes 5차파 이론에 의한 질양이동속도는 종전의 2차파이론에 의한 질양이동속도보다 전수심에서 작은 값을 보여준다.

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Conformation of L-Ascorbic Acid in Solution 2. L-Ascorbic Acid Anion

  • Mi Suk Kim;Sung Hee Lee;Uoo Tae Chung;Young Kee Kang
    • Bulletin of the Korean Chemical Society
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    • 제12권2호
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    • pp.143-148
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    • 1991
  • In the unhydrated and hydrated states, conformational free energies of L-ascorbic acid anion (AAA) were computed with an empirical potential function and the hydration shell model (a program CONBIO). The conformational energy was minimized from possible starting conformations expressed with five torsion angles of the molecule. The conformational entropy of each low energy conformation in both states was computed using a harmonic approximation. As found in L-ascorbic acid (AA), intramolecular hydrogen bonds (HBs) are proved to be of significant importance in stabilizing the overall conformations of AAA in both states, and give the folded conformations, which are quite different from those in crystal. There are competitions between HBs and hydration around O3 atom of the lactone ring and hydroxyls of the acyclic side chain. Especially, the whole conformation of AAA is strongly dependent on the water-accessibility of O3 atom. Though there is a significant effect of the hydration on conformational surface, the lowest energy conformation of the unhydrated AAA is conserved. The different patterns of HBs and hydration result in the conformations of AAA in both states being different from those of AA. It can be drawn by several feasible conformations obtained in the hydrated state that there exists an ensemble of several conformations in aqueous solution.

Capabilities of 1D CUF-based models to analyse metallic/composite rotors

  • Filippi, Matteo;Carrera, Erasmo
    • Advances in aircraft and spacecraft science
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    • 제3권1호
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    • pp.1-14
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    • 2016
  • The Carrera Unified Formulation (CUF) is here extended to perform free-vibrational analyses of rotating structures. CUF is a hierarchical formulation, which enables one to obtain refined structural theories by writing the unknown displacement variables using generic functions of the cross-section coordinates (x, z). In this work, Taylor-like expansions are used. The increase of the theory order leads to three-dimensional solutions while, the classical beam models can be obtained as particular cases of the linear theory. The Finite Element technique is used to solve the weak form of the three-dimensional differential equations of motion in terms of "fundamental nuclei", whose forms do not depend on the adopted approximation. Including both gyroscopic and stiffening contributions, structures rotating about either transversal or longitudinal axis can be considered. In particular, the dynamic characteristics of thin-walled cylinders and composite blades are investigated to predict the frequency variations with the rotational speed. The results reveal that the present one-dimensional approach combines a significant accuracy with a very low computational cost compared with 2D and 3D solutions. The advantages are especially evident when deformable and composite structures are analyzed.

불확실한 순궤환 비선형 계통에 대한 스위칭 미분기를 이용한 상태궤환 백스테핑 제어기 (State-Feedback Backstepping Controller for Uncertain Pure-Feedback Nonlinear Systems Using Switching Differentiator)

  • 박장현
    • 전기전자학회논문지
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    • 제23권2호
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    • pp.716-721
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    • 2019
  • 불확실한 순궤환 비선형 계통에 대한 스위칭 미분기 기반의 새로운 백스테핑 제어기를 제안한다. 제안된 제어기에서는 점근적 추종 특성을 갖는 스위칭 미분기를 사용하여 백스테핑 제어기의 매 설계 단계마다 가상 제어항이 직접 근사된다. 그 결과 제어식이 매우 단순화되고 계통에 내재된 파라미터 및 구조적 불확실성과 외란이 존재함에도 불구하고 계통의 출력이 원하는 출력을 점근적으로 추종함을 증명한다. 또한 신경망이나 퍼지시스템 같은 계통의 구조적인 불확실성에 적응적으로 실시간 보상하기 위한 범용 근사기가 불필요하다. 모의실험을 통해서 제안된 제어기의 성능과 간결함을 보인다.

Kinetics of nitrification and acrylamide biodegradation by Enterobacter aerogenes and mixed culture bacteria in sequencing batch reactor wastewater treatment systems

  • Madmanang, Romsan;Jangkorn, Siriprapha;Charoenpanich, Jittima;Sriwiriyarat, Tongchai
    • Environmental Engineering Research
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    • 제24권2호
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    • pp.309-317
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    • 2019
  • This study evaluated the kinetics of acrylamide (AM) biodegradation by mixed culture bacteria and Enterobacter aerogenes (E. aerogenes) in sequencing batch reactor (SBR) systems with AQUASIM and linear regression. The zero-order, first-order, and Monod kinetic models were used to evaluate the kinetic parameters of both autotrophic and heterotrophic nitrifications and both AM and chemical oxygen demand (COD) removals at different AM concentrations of 100, 200, 300, and 400 mg AM/L. The results revealed that both autotrophic and heterotrophic nitrifications and both AM and COD removals followed the Monod kinetics. High AM loadings resulted in the transformation of Monod kinetics to the first-order reaction for AM and COD removals as the results of the compositions of mixed substrates and the inhibition of the free ammonia nitrogen (FAN). The kinetic parameters indicated that E. aerogenes degraded AM and COD at higher rates than mixed culture bacteria. The FAN from the AM biodegradation increased both heterotrophic and autotrophic nitrification rates at the AM concentrations of 100-300 mg AM/L. At higher AM concentrations, the FAN accumulated in the SBR system inhibited the autotrophic nitrification of mixed culture bacteria. The accumulation of intracellular polyphosphate caused the heterotrophic nitrification of E. aerogenes to follow the first-order approximation.

Function space formulation of the 3-noded distorted Timoshenko metric beam element

  • Manju, S.;Mukherjee, Somenath
    • Structural Engineering and Mechanics
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    • 제69권6호
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    • pp.615-626
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    • 2019
  • The 3-noded metric Timoshenko beam element with an offset of the internal node from the element centre is used here to demonstrate the best-fit paradigm using function space formulation under locking and mesh distortion. The best-fit paradigm follows from the projection theorem describing finite element analysis which shows that the stresses computed by the displacement finite element procedure are the best approximation of the true stresses at an element level as well as global level. In this paper, closed form best-fit solutions are arrived for the 3-noded Timoshenko beam element through function space formulation by combining field consistency requirements and distortion effects for the element modelled in metric Cartesian coordinates. It is demonstrated through projection theorems how lock-free best-fit solutions are arrived even under mesh distortion by using a consistent definition for the shear strain field. It is shown how the field consistency enforced finite element solution differ from the best-fit solution by an extraneous response resulting from an additional spurious force vector. However, it can be observed that when the extraneous forces vanish fortuitously, the field consistent solution coincides with the best-fit strain solution.

Free vibration analysis of steel liquid storage tank with functionally graded column based on modified continuum mechanics

  • Cavus, Yakup Harun;Kupeli, Togay;Yayli, Mustafa Ozgur
    • Coupled systems mechanics
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    • 제11권4호
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    • pp.335-355
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    • 2022
  • It's important to note that the number of studies on the lateral vibration of steel liquid storage tanks has been quite modest in the past. The aim of this research has to look at the variables that affect vibration of storage tanks and to highlight the characteristics of a construction that hasn't received much attention in the literature. The storage tank has pre-sized in the study, and aluminum and steel have chosen as components. The specified material qualities and the factors utilized in the investigation has used to calculate vibration frequency values. The resulting calculations are backed up by tables and graphs, and it's an important to look into the parameters that affect the vibration frequencies that will occur on the designed storage tank vary. In the literature, water tanks are usually modelled as lumped masses. The horizontal stiffness of the column on which it is placed is assumed to be constant throughout. This is an approximation method of solving this problem. The column is handled in this study with a more realistic approach that fits the continuum mechanics in the analysis. The reservoir part is incorporated directly into the problem as the boundary condition.

Comparison of estimating vegetation index for outdoor free-range pig production using convolutional neural networks

  • Sang-Hyon OH;Hee-Mun Park;Jin-Hyun Park
    • Journal of Animal Science and Technology
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    • 제65권6호
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    • pp.1254-1269
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    • 2023
  • This study aims to predict the change in corn share according to the grazing of 20 gestational sows in a mature corn field by taking images with a camera-equipped unmanned air vehicle (UAV). Deep learning based on convolutional neural networks (CNNs) has been verified for its performance in various areas. It has also demonstrated high recognition accuracy and detection time in agricultural applications such as pest and disease diagnosis and prediction. A large amount of data is required to train CNNs effectively. Still, since UAVs capture only a limited number of images, we propose a data augmentation method that can effectively increase data. And most occupancy prediction predicts occupancy by designing a CNN-based object detector for an image and counting the number of recognized objects or calculating the number of pixels occupied by an object. These methods require complex occupancy rate calculations; the accuracy depends on whether the object features of interest are visible in the image. However, in this study, CNN is not approached as a corn object detection and classification problem but as a function approximation and regression problem so that the occupancy rate of corn objects in an image can be represented as the CNN output. The proposed method effectively estimates occupancy for a limited number of cornfield photos, shows excellent prediction accuracy, and confirms the potential and scalability of deep learning.

Spatial dispersion of aggregate in concrete a computer simulation study

  • Hu, Jing;Chen, Huisu;Stroeven, Piet
    • Computers and Concrete
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    • 제3권5호
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    • pp.301-312
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    • 2006
  • Experimental research revealed that the spatial dispersion of aggregate grains exerts pronounced influences on the mechanical and durability properties of concrete. Therefore, insight into this phenomenon is of paramount importance. Experimental approaches do not provide direct access to three-dimensional spacing information in concrete, however. Contrarily, simulation approaches are mostly deficient in generating packing systems of aggregate grains with sufficient density. This paper therefore employs a dynamic simulation system (with the acronym SPACE), allowing the generation of dense random packing of grains, representative for concrete aggregates. This paper studies by means of SPACE packing structures of aggregates with a Fuller type of size distribution, generally accepted as a suitable approximation for actual aggregate systems. Mean free spacing $\bar{\lambda}$, mean nearest neighbour distance (NND) between grain centres $\bar{\Delta}_3$, and the probability density function of ${\Delta}_3$ are used to characterize the spatial dispersion of aggregate grains in model concretes. Influences on these spacing parameters are studied of volume fraction and the size range of aggregate grains. The values of these descriptors are estimated by means of stereological tools, whereupon the calculation results are compared with measurements. The simulation results indicate that the size range of aggregate grains has a more pronounced influence on the spacing parameters than exerted by the volume fraction of aggregate. At relatively high volume density of aggregates, as met in the present cases, theoretical and experimental values are found quite similar. The mean free spacing is known to be independent of the actual dispersion characteristics (Underwood 1968); it is a structural parameter governed by material composition. Moreover, scatter of the mean free spacing among the serial sections of the model concrete in the simulation study is relatively small, demonstrating the sample size to be representative for composition homogeneity of aggregate grains. The distribution of ${\Delta}_3$ observed in this study is markedly skew, indicating a concentration of relatively small values of ${\Delta}_3$. The estimate of the size of the representative volume element (RVE) for configuration homogeneity based on NND exceeds by one order of magnitude the estimate for structure-insensitive properties. This is in accordance with predictions of Brown (1965) for composition and configuration homogeneity (corresponding to structure-insensitive and structure-sensitive properties) of conglomerates.

전해질 수용액에서 L-Alanine의 활동도계수와 용해도의 측정 및 모델링 (Measurements and Modeling of the Activity Coefficients and Solubilities of L-alanine in Aqueous Electrolyte Solutions)

  • 이봉섭;김기창
    • Korean Chemical Engineering Research
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    • 제48권4호
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    • pp.519-533
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    • 2010
  • 본 연구에서는 L-형 아미노산인 L-Alanine과 무기염인 NaCl, KCl, $NaNO_3$$KNO_3$의 각 전해질로 이루어진 L-Alanine/전해질 수용액 계에서 L-Alanine의 활동도계수와 용해도를 298.15 K에서 측정하였다. L-Alanine의 활동도계수는 양이온 및 음이온의 선택성 전극으로 이루어진 화학전지에서 두 전극간의 기전력을 측정하는 전기화학 법으로 측정하였으며, 용해도는 L-Alanine의 고체상과 상평형을 이루고 있는 포화용액을 중량 분석하여 측정하였다. 한편 본 연구에서는 아미노산(L-Alanine)/전해질 수용액 계의 잔류(residual) Helmholtz 자유에너지를 섭동사슬-통계역학적 회합성유체이론(perturbed chain-statistical associating fluid theory)과 단순-평균구근사(primitive-mean spherical approximation)이론을 결합한 관계로 모델링 하였으며, 이로부터 아미노산의 활동도계수 및 용해도에 대한 열역학적 관계식을 얻었다. Helmholtz 자유에너지를 모델링 하는 과정에서는 아미노산은 양쪽성 이온(zwitterion) 형태로 존재하며 아미노산의 양쪽성 이온은 같은 이온끼리 자기-회합(self-association)하며 동시에 물분자와 교차-회합(cross-association)하는 회합체로 가정하였으며, 또한 아미노산의 양쪽성 이온이 전해질(무기염)로부터 해리된 양이온 및 음이온과 상호작용하여 이온복합체(ion complex)를 형성하는 과정을 회합현상으로 가정하였다. 본 연구에서 제안된 이론적 모델로부터 L-Alanine/전해질 수용액 계에서 계산되는 L-Alanine의 활동도계수 및 용해도 값은 본 연구의 실험값과 일치하는 경향을 보였다.