• 제목/요약/키워드: exponential power-law

검색결과 78건 처리시간 0.029초

확률론적 저장대모형을 이용한 하천에서의 물질혼합거동 해석 (Analysis of solute transport in rivers using a stochastic storage model)

  • 김병욱;서일원;권시윤;정성현;윤세훈
    • 한국수자원학회논문집
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    • 제54권5호
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    • pp.335-345
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    • 2021
  • 하천에서의 용존물질의 혼합거동을 신속하게 예측하기 해석하기 위하여 1차원 추적모형이 개발되어 왔다. 그 중 저장대모형(Transient Storage Model, TSM)은 자연하천의 복잡하고 불규칙한 수리·지형적인 특성을 단순하게 반영할 수 있다는 장점때문에 가장 많이 사용되는 1차원 추적모형이다. 하지만 TSM의 정확도는 본류대 및 저장대의 면적, 물질교환계수 등 모형의 매개변수에 의존하며 이들은 직접적으로 측정될 수 없다는 단점이 있다. 또한 TSM은 농도곡선의 꼬리에 나타나는 저장대특성의 형태를 지수함수형태로 반영하는데 이는 실제 추적자실험을 통해 관측되는 꼬리는 형태와 다르다는 평가가 제기되고 있다. 이에 따라 본 연구에서는 1차원 확률론적 저장대모형에 대한 수치모형을 개발하여 자연하천에 적용하고 그 결과를 TSM의 모의결과와 비교하였다. 상기의 모형을 검증하기 위하여 낙동강의 1차 지류 중 하나인 감천의 4.85 km의 구간에서 추적자 실험을 실시하였다. 본 추적자 실험을 통해 측정한 농도곡선과 본 연구에서 제시된 확률론적 저장대모형의 모의 곡선의 꼬리부 멱함수 기울기를 비교해본 결과, 오차율은 평균 0.24으로 나타났는데, 이는 1차원 이송-분산 모형과 TSM로부터의 오차율인 14.03과 1.87에 비해 보다 정확한 값이다. 본 연구 결과, 감천에서의 저장대 특성을 나타내는 하상의 체류시간분포는 지수함수분포보다는 멱함수 분포에 가까운 것으로 밝혀졌다.

Influence of micromechanical models on the bending response of bidirectional FG beams under linear, uniform, exponential and sinusoidal distributed loading

  • Meksi, Abdeljalil;Benyoucef, Samir;Sekkal, Mohamed;Bouiadjra, Rabbab Bachir;Selim, Mahmoud M.;Tounsi, Abdelouahed;Hussain, Muzamal
    • Steel and Composite Structures
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    • 제39권2호
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    • pp.215-228
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    • 2021
  • This paper investigates the effect of micromechanical models on the bending behavior of bidirectional functionally graded (BDFG) beams subjected to different mechanical loading. The material properties of the beam are considered to be graded in both axial and thickness directions according to a power law. The beam's behavior is modeled by the mean of quasi 3D displacement field that contain undetermined integral terms and involves a reduced unknown functions. Navier's method is employed to determine and compute the displacements and stress for a simply supported beam. Different homogenization schemes such as Voigt, Reus, and Mori-Tanaka are employed to analyze the response of the BDFG beam subjected to linear, uniform, exponential and sinusoidal distributed loading. The results obtained by the present method are compared with available results in the literature and a good agreement was found. Several numerical results are presented in tabular form and in figures to examine the effects of the material gradation, micromechanical models and types of loading on the bending response of BDFG beams. It can be concluded that the present theory is not only accurate but also simple in predicting the bending response of BDFG beam subjected to different static loads.

Critical buckling analyses of nonlinear FG-CNT reinforced nano-composite beam

  • Zerrouki, Rachid;Karas, Abdelkader;Zidour, Mohamed
    • Advances in nano research
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    • 제9권3호
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    • pp.211-220
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    • 2020
  • This paper investigates the effect of linear and non-linear distribution of carbon nanotube volume fraction in the FG-CNTRC beams on the critical buckling by using higher-order shear deformation theories. Here, the material properties of the CNTRC beams are assumed to be graded in the thickness direction according to a new exponential power law distribution in terms of the carbon nanotube volume fractions. The single-walled carbon nanotube is aligned and distributed in the polymeric matrix with different patterns of reinforcement; the material properties of the CNTRC beams are described by using the rule of mixture. The governing equations are derived through using Hamilton's principle. The Navier solution method is used under the specified boundary conditions for simply supported CNTRC beams. The mathematical models provided in this work are numerically validated by comparison with some available results. New results of critical buckling with the non-linear distribution of CNT volume fraction in different patterns are presented and discussed in detail, and compared with the linear distribution. Several aspects of beam types, CNT volume fraction, exponent degree (n), aspect ratio, etc., are taken into this investigation. It is revealed that the influences of non-linearity distribution in the beam play an important role to improve the mechanical properties, especially in buckling behavior. The results show that the X-Beam configuration is the strongest among all different types of CNTRC beams in supporting the buckling loads.

A Campus Community-based Mobility Model for Routing in Opportunistic Networks

  • Pan, Daru;Fu, Min;Sun, Jiajia;Zou, Xin
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제10권3호
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    • pp.1034-1051
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    • 2016
  • Mobility models are invaluable for determining the performance of routing protocols in opportunistic networks. The movement of nodes has a significant influence on the topological structure and data transmission in networks. In this paper, we propose a new mobility model called the campus-based community mobility model (CBCNM) that closely reflects the daily life pattern of students on a real campus. Consequent on a discovery that the pause time of nodes in their community follows a power law distribution, instead of a classical exponential distribution, we abstract the semi-Markov model from the movement of the campus nodes and analyze its rationality. Then, using the semi-Markov algorithm to switch the movement of the nodes between communities, we infer the steady-state probability of node distribution at random time points. We verified the proposed CBCNM via numerical simulations and compared all the parameters with real data in several aspects, including the nodes' contact and inter-contact times. The results obtained indicate that the CBCNM is highly adaptive to an actual campus scenario. Further, the model is shown to have better data transmission network performance than conventional models under various routing strategies.

Porosity-dependent mechanical behaviors of FG plate using refined trigonometric shear deformation theory

  • Bekkaye, Tahar Hacen Lamine;Fahsi, Bouazza;Bousahla, Abdelmoumen Anis;Bourada, Fouad;Tounsi, Abdeldjebbar;Benrahou, Kouider Halim;Tounsi, Abdelouahed;Al-Zahrani, Mesfer Mohammad
    • Computers and Concrete
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    • 제26권5호
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    • pp.439-450
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    • 2020
  • In this research, bending and buckling analyses of porous functionally graded (FG) plate under mechanical load are presented. The properties of the FG plate vary gradually across the thickness according to power-law and exponential functions. The material imperfection is considered to vary depending to a logarithmic function. The plate is modeled by a refined trigonometric shear deformation theory where the use of the shear correction factor is unnecessary. The governing equations of the FG plate are derived via virtual work principle and resolved via Navier solutions. The accuracy of the present model is checked by comparing the obtained results with those found in the literature. The various effects influencing the stresses, displacements and critical buckling loads of the plate are also examined and discussed in detail.

Three dimensional dynamic response of functionally graded nanoplates under a moving load

  • Hosseini-Hashemi, Shahrokh;Khaniki, Hossein Bakhshi
    • Structural Engineering and Mechanics
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    • 제66권2호
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    • pp.249-262
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    • 2018
  • In this paper, reaction of functionally graded (FG) thick nanoplates resting on a viscoelastic foundation to a moving nanoparticle/load is investigated. Nanoplate is assumed to be thick by using second order shear deformation theory and small-scale effects are taken into account in the framework of Eringen's nonlocal theory. Material properties are varied through the thickness using FG models by having power-law, sigmoid and exponential functions for material changes. FG nanoplate is assumed to be on a viscoelastic medium which is modeled using Kelvin-Voight viscoelastic model. Galerkin, state space and fourth-order Runge-Kutta methods are employed to solve the governing equations. A comprehensive parametric study is presetned to show the influence of different parameters on mechanical behavior of the system. It is shown that material variation in conjunction with nonlocal term have a significant effect on the dynamic deformation of nanoplate which could be used in comprehending and designing more efficient nanostructures. Moreover, it is shown that having a viscoelastic medium could play an important role in decreasing these dynamic deformations. With respect to the fresh studies on moving atoms, molecules, cells, nanocars, nanotrims and point loads on different nanosctructures using scanning tunneling microscopes (STM) and atomic force microscopes (AFM), this study could be a step forward in understanding, predicting and controlling such kind of behaviors by showing the influence of the moving path, velocity etc. on dynamic reaction of the plate.

Free vibration responses of nonlinear FG-CNT distribution in a polymer matrix

  • Zerrouki, Rachid;Hamidi, Ahmed;Tlidji, Youcef;Karas, Abdelkader;Zidour, Mohamed;Tounsi, Abdelouahed
    • Smart Structures and Systems
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    • 제30권2호
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    • pp.135-143
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    • 2022
  • The object of this paper is to investigate the free vibration behavior under the effect of carbon nanotube distribution in functionally graded carbon nanotube-reinforced composite (FG-CNTRC) by using higher-order shear deformation theories. In this work, we present a novel distribution method for carbon nanotubes in the polymer matrix by using a new exponential power law distribution of carbon nanotube volume fraction. It is assumed that the SWCNTs are aligned along the beam axial direction and the distribution of the SWCNTs may vary through the thickness of the beam with different patterns of reinforcement. The rule of mixtures is used in order to obtain material properties of the CNTRC beams. Hamilton's principle is used in deriving the equations of motion. The validity of the free Vibration results is examined by comparing them with those of the known data in the literature. The results that obtained indicate that the carbon nanotube volume fraction distribution play a very important role on the free vibrations characteristics of the CNTRC beam.

A new hybrid HSDT for bending, free vibration, and buckling analysis of FGM plates (2D & quasi-3D)

  • Belkhodja, Y.;Ouinas, D.;Fekirini, H.;Olay, J.A. Vina;Achour, B.;Touahmia, M.;Boukendakdji, M.
    • Smart Structures and Systems
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    • 제29권3호
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    • pp.395-420
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    • 2022
  • A new hybrid quasi-3D and 2D high-order shear deformation theory is studied in this mathematical formulation, for an investigation of the bending, free vibrations and buckling influences on a functionally graded material plate. The theoretical formulation has been begun by a displacement field of five unknowns, governing the transverse displacement across the thickness of the plate by bending, shearing and stretching. The transverse shear deformation effect has been taken into consideration, satisfying the stress-free boundary conditions, especially on plate free surfaces as parabolic variation through its thickness. Thus, the mechanical properties of the functionally graded plate vary across the plate thickness, following three distributions forms: the power law, exponential form and the Mori-Tanaka scheme. The mechanical properties are used to develop the equations of motion, obtained from the Hamilton principle, and solved by applying the Navier-type solution for simply supported boundary conditions. The results obtained are compared with other solutions of 2D, 3D and quasi-3D plate theories have been found in the literature.

Exploring the Relationship between the Kinetic Energy and Intensity of Rainfall in Sangju, Korea

  • Van, Linh Nguyen;Le, Xuan-Hien;Yeon, Minho;Thi, Tuyet-May Do;Lee, Giha
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 2022년도 학술발표회
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    • pp.151-151
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    • 2022
  • The impact of raindrops on the soil surface causes soil detachment, which may be estimated by measuring the kinetic energy (KE) of the raindrops. Since direct measurements of rainfall force on ground surfaces are not generally available, empirical equations are an alternative option to estimate KE from rainfall intensity (I), which has the greatest influence over soil erosion and is easily accessible. Establishing the optimal formulation for the relationship between kinetic energy and rainfall intensity has proven to be difficult. Thus, this research considered thirty-seven rainfall events observed from June 2020 to December 2021 using a laster optical disdrometer erected in Kyungpook National University to examine the characteristics of KE-I relationships. We concentrated our discussion on the formation of two different expressions of the KE, including KE expenditure (KEexp) and KE content (KEcon). The following conclusions were drawn: (1) We employed statistical analysis to demonstrate that the KEexp is more suitable expression for establishing an empirical rule between KE and I than the KEcon. (2) A power-law model was used to find the best correlation between KEexp-I relationship, whereas the best match between KEcon and I were found using an exponential equation.

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LaNi1-xTixO3(x∼0.5) 세라믹스의 전기전도 특성 (Electrical Transport Properties of LaNi1-xTixO3(x∼0.5) Ceramics)

  • 정우환
    • 한국재료학회지
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    • 제19권4호
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    • pp.186-191
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    • 2009
  • Thermoelectric power and resistivity are measured for the perovskite $LaNi_{1-x}Ti_xO_3$ ($x{\leq}0.5$) in the temperature range 77 K - 300 K. The measured thermoelectric power of $LaNi_{1-x}Ti_xO_3$ ($x{\leq}0.5$) increases linearly with temperature and is represented by A + BT. The x = 0.1 sample showed metallic behavior, the x = 0.3 showed metal and insulating transition around 150 K, and x = 0.5 showed insulating behavior the over the whole temperature range. The electrical resistivity of x = 0.1 shows linear temperature dependence over the whole temperature range and $T^2$ dependence. On the other hand, the electrical resistivity of x = 0.3 shows a linear relation between $ln{\rho}$ and $T^{-1/4}$ (variable range hopping mechanism) in the range of 77 K to 150 K. For x = 0.5, the temperature dependence of resistivity is characteristic of insulating materials; the resistivity data was fitted to an exponential law, such as ln(${\rho}/T$) and $T^{-1}$, which is usually attributed to a small polaron hopping mechanism. These experimental results are interpreted in terms of the spin polaron (x = 0.1) and variable range hopping (x = 0.3) or small polaron hopping (x = 0.5) of an almost localized $Ni^{3+}$ 3d polaron.