• Title/Summary/Keyword: distribution parameter

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Free vibration response of functionally graded Porous plates using a higher-order Shear and normal deformation theory

  • Bennai, Riadh;Atmane, Hassen Ait;Ayache, Belqassim;Tounsi, Abdelouahed;Bedia, E.A. Adda;Al-Osta, Mohammed A.
    • Earthquakes and Structures
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    • v.16 no.5
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    • pp.547-561
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    • 2019
  • In this work, a new analytical approach using a theory of a high order hyperbolic shear deformation theory (HSDT) has been developed to study the free vibration of plates of functionally graduated material (FGM). This theory takes into account the effect of stretching the thickness. In contrast to other conventional shear deformation theories, the present work includes a new displacement field that introduces indeterminate integral variables. During the manufacturing process of these plates defects can appear as porosity. The latter can question and modify the global behavior of such plates. The materials constituting the plate are assumed to be gradually variable in the direction of height according to a simple power law distribution in terms of the volume fractions of the constituents. The motion equations are derived by the Hamilton principle. Analytical solutions for free vibration analysis are obtained for simply supported plates. The effects of stretching, the porosity parameter, the power law index and the length / thickness ratio on the fundamental frequencies of the FGM plates are studied in detail.

[Retracted]Estimation of the Fatigue Damage for an Ice-going Vessel under Broken Ice Condition Part I - Direct Approach ([논문철회]유빙 하중을 받는 내빙 선박의 피로손상도 추정 Part I - 직접 해석법)

  • Kim, Jeong-Hwan;Kim, Yooil
    • Journal of the Society of Naval Architects of Korea
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    • v.56 no.3
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    • pp.217-230
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    • 2019
  • In this study, a fatigue damage estimation for an ice-going vessel navigating through broken ice fields was carried out. A numerical model to simulate the interaction between ice and structure developed using the finite element method was introduced. Time series of stresses calculated by the proposed model and the corresponding fatigue analysis results are presented. The numerical model enables the long time analysis through an efficient interaction model, the application of the periodic media analysis and the convolution integral, and it allows the stress time history to be extracted directly using the finite element method. To describe the probability distribution of stress amplitudes, the 2-parameter Weibull model was applied to the calculated stress time history, and the fatigue damage was calculated using the Palmgren-Miner rule. Finally, the fatigue damage considering the ice conditions of the Baltic Sea was calculated using the proposed method and LR method, and the results were compared to each other.

A Numerical Study on the Thermo-mechanical Response of a Composite Beam Exposed to Fire

  • Pak, Hongrak;Kang, Moon Soo;Kang, Jun Won;Kee, Seong-Hoon;Choi, Byong-Jeong
    • International journal of steel structures
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    • v.18 no.4
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    • pp.1177-1190
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    • 2018
  • This study presents an analytical framework for estimating the thermo-mechanical behavior of a composite beam exposed to fire. The framework involves: a fire simulation from which the evolution of temperature on the structure surface is obtained; data transfer by an interface model, whereby the surface temperature is assigned to the finite element model of the structure for thermo-mechanical analysis; and nonlinear thermo-mechanical analysis for predicting the structural response under high temperatures. We use a plastic-damage model for calculating the response of concrete slabs, and propose a method to determine the stiffness degradation parameter of the plastic-damage model by a nonlinear regression of concrete cylinder test data. To validate simulation results, structural fire experiments have been performed on a real-scale steel-concrete composite beam using the fire load prescribed by ASTM E119 standard fire curve. The calculated evolution of deflection at the center of the beam shows good agreement with experimental results. The local test results as well as the effective plastic strain distribution and section rotation of the composite beam at elevated temperatures are also investigated.

An advanced technique to predict time-dependent corrosion damage of onshore, offshore, nearshore and ship structures: Part II = Application to the ship's ballast tank

  • Kim, Do Kyun;Lim, Hui Ling;Cho, Nak-Kyun
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.12 no.1
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    • pp.645-656
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    • 2020
  • In this study (Part II), the empirical formulation of corrosion model of a ship's ballast tank was developed to predict nonlinear time-dependent corrosion wastage based on the advanced data processing technique proposed by Part I. The detail on how to propose generalised mathematical formulation of corrosion model was precisely documented in the previous paper (Part I). The statistical scatter of corrosion data at any exposure time was investigated by the refined method and formulated based on a 2-parameter Weibull distribution which selected the best fit PDF. Throughout the nine (9) steps, empirical formulation of the ship's seawater ballast tank was successfully proposed and four (4) key step results were also obtained. The proposed method in Part I was verified and confirmed by this application of seawater ballast tank, thus making it possible to predict accurate behaviours of nonlinear timedependent corrosion. Developed procedures and obtained corrosion damage model for ship's seawater ballast tank can be used for development of engineering software.

Influences of porosity distributions and boundary conditions on mechanical bending response of functionally graded plates resting on Pasternak foundation

  • Guellil, Moustafa;Saidi, Hayat;Bourada, Fouad;Bousahla, Abdelmoumen Anis;Tounsi, Abdelouahed;Al-Zahrani, Mesfer Mohammad;Hussain, Muzamal;Mahmoud, S.R.
    • Steel and Composite Structures
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    • v.38 no.1
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    • pp.1-15
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    • 2021
  • In this paper, a higher order shear deformation theory for bending analysis of functionally graded plates resting on Pasternak foundation and under various boundary conditions is exposed. The proposed theory is based on the assumption that porosities can be produced within functionally graded plate which may lead to decline in strength of materials. In this research a novel distribution of porosity according to the thickness of FG plate are supposing. Governing equations of the present theory are derived by employing the virtual work principle, and the closed-form solutions of functionally graded plates have been obtained using Navier solution. Numerical results for deflections and stresses of several types of boundary conditions are presented. The exactitude of the present study is confirmed by comparing the obtained results with those available in the literature. The effects of porosity parameter, slenderness ratio, foundation parameters, power law index and boundary condition types on the deflections and stresses are presented.

Introduction to numba library in Python for efficient statistical computing (효율적인 통계 계산을 위한 파이썬 numba 라이브러리의 소개)

  • Cho, Younsang;Yu, Donghyeon;Son, Won;Park, Seoncheol
    • The Korean Journal of Applied Statistics
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    • v.33 no.6
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    • pp.665-682
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    • 2020
  • This paper introduces numba library in Python, which improves computational efficiency of the provided implemented code written by naive Python language by applying just-in-time (JIT) compilation. To apply just-in-time compilation, the numba only needs to use a decorator on a target Python function. We provide implementation examples with numba for the permutation test and the parameter estimation for Gaussian mixture distribution. We also numerically show the efficiency of numba by comparing the total computation times of the implementation using naive python and the implementation using numba for each application.

Optimum location of second outrigger in RC core walls subjected to NF earthquakes

  • Beiraghi, Hamid;Hedayati, Mansooreh
    • Steel and Composite Structures
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    • v.38 no.6
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    • pp.671-690
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    • 2021
  • Seismic responses of RC core wall with two outriggers are investigated in this study. In the models analyzed here, one of the outriggers is fixed at the top of the building and the second is placed at different levels along the height of the system. Each of the systems resulting from the placement of the outrigger at different locations is designed according to the prescriptive codes. The location of the outrigger changes along the height. Linear design of all the structures is accomplished by using prescriptive codes. Buckling restrained braces (BRBs) are used in the outriggers and forward directivity near fault and far fault earthquake record sets are used at maximum considered earthquake (MCE) level. Results from nonlinear time history analysis demonstrate that BRB outriggers can change the seismic responses like force distribution and deformation demand of the RC core-walls over the height and lead to the new plastic hinge arrangement over the core-wall height. Plasticity extension in the RC core wall occurs at the base as well as adjacent to the outrigger levels. Considering the maximum inter-story drift ratio (IDR) demand as an engineering parameter, the best location for the second outrigger is at 0.75H, in which the maximum IDR at the region upper the second outrigger level is approximately equal to the corresponding value in the lower region.

Flow Characteristics in a Human Airway model for Oral Cancer Surgery by PIV Experiment and Numerical Simulation (PIV 측정 및 수치해석을 이용한 구강암 수술에 따른 기도 형상 내 유동 특성)

  • Hong, Hyeonji;An, Se Hyeon;Seo, Heerim;Song, Jae Min;Yeom, Eunseop
    • Journal of the Korean Society of Visualization
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    • v.19 no.3
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    • pp.115-122
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    • 2021
  • Oral cancer surgery typically consists of resection of lesion, neck dissection and reconstruction, and it has an impact on the position of hyoid bone. Therefore, morphological change of airway can occur since the geometric parameter of airway is correlated with the hyoid bone. Airflow is affected by geometry of the airway. In this study, flow characteristics were compared between pre- and post-surgery models by both particle image velocimetry (PIV) and numerical simulation. 3D model of upper airway was reconstructed based on CT data. Velocity is accelerated by the reduced channel area, and vortex and recirculation region are observed in pre- and post-surgery models. For the post-surgery model, high pressure distribution is developed by significantly decreased hydraulic diameter, and the longitudinal flow stream is also interrupted.

Proposals for flexural capacity prediction method of externally prestressed concrete beam

  • Yan, Wu-Tong;Chen, Liang-Jiang;Han, Bing;Wei, Feng;Xie, Hui-Bing;Yu, Jia-Ping
    • Structural Engineering and Mechanics
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    • v.83 no.3
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    • pp.363-375
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    • 2022
  • Flexural capacity prediction is a challenging problem for externally prestressed concrete beams (EPCBs) due to the unbonded phenomenon between the concrete beam and external tendons. Many prediction equations have been provided in previous research but typically ignored the differences in deformation mode between internal and external unbonded tendons. The availability of these equations for EPCBs is controversial due to the inconsistent deformation modes and ignored second-order effects. In this study, the deformation characteristics and collapse mechanism of EPCB are carefully considered, and the ultimate deflected shape curves are derived based on the simplified curvature distribution. With the compatible relation between external tendons and the concrete beam, the equations of tendon elongation and eccentricity loss at ultimate states are derived, and the geometric interpretation is clearly presented. Combined with the sectional equilibrium equations, a rational and simplified flexural capacity prediction method for EPCBs is proposed. The key parameter, plastic hinge length, is emphatically discussed and determined by the sensitivity analysis of 324 FE analysis results. With 94 collected laboratory-tested results, the effectiveness of the proposed method is confirmed, and comparisons with the previous formulas are made. The results show the better prediction accuracy of the proposed method for both stress increments and flexural capacity of EPCBs and the main reasons are discussed.

Interpolation based Single-path Sub-pixel Convolution for Super-Resolution Multi-Scale Networks

  • Alao, Honnang;Kim, Jin-Sung;Kim, Tae Sung;Oh, Juhyen;Lee, Kyujoong
    • Journal of Multimedia Information System
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    • v.8 no.4
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    • pp.203-210
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    • 2021
  • Deep leaning convolutional neural networks (CNN) have successfully been applied to image super-resolution (SR). Despite their great performances, SR techniques tend to focus on a certain upscale factor when training a particular model. Algorithms for single model multi-scale networks can easily be constructed if images are upscaled prior to input, but sub-pixel convolution upsampling works differently for each scale factor. Recent SR methods employ multi-scale and multi-path learning as a solution. However, this causes unshared parameters and unbalanced parameter distribution across various scale factors. We present a multi-scale single-path upsample module as a solution by exploiting the advantages of sub-pixel convolution and interpolation algorithms. The proposed model employs sub-pixel convolution for the highest scale factor among the learning upscale factors, and then utilize 1-dimension interpolation, compressing the learned features on the channel axis to match the desired output image size. Experiments are performed for the single-path upsample module, and compared to the multi-path upsample module. Based on the experimental results, the proposed algorithm reduces the upsample module's parameters by 24% and presents slightly to better performance compared to the previous algorithm.