• 제목/요약/키워드: Finite mixture distribution

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Vibration analysis of sandwich sectorial plates considering FG wavy CNT-reinforced face sheets

  • Tahouneh, Vahid
    • Steel and Composite Structures
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    • 제28권5호
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    • pp.541-557
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    • 2018
  • This paper presents the influence of carbon nanotubes (CNTs) waviness and aspect ratio on the vibrational behavior of functionally graded nanocomposite sandwich annular sector plates resting on two-parameter elastic foundations. The carbon nanotube-reinforced (CNTR) sandwich plate has smooth variation of CNT fraction along the thickness direction. The distributions of CNTs are considered functionally graded (FG) or uniform along the thickness and their mechanical properties are estimated by an extended rule of mixture. In this study, the classical theory concerning the mechanical efficiency of a matrix embedding finite length fibers has been modified by introducing the tube-to-tube random contact, which explicitly accounts for the progressive reduction of the tubes' effective aspect ratio as the filler content increases. Effects of CNT distribution, volume fraction, aspect ratio and waviness, and also effects of Pasternak's elastic foundation coefficients, sandwich plate thickness, face sheets thickness and plate aspect ratio are investigated on the free vibration of the sandwich plates with wavy CNT-reinforced face sheets. The study is carried out based on three-dimensional theory of elasticity and in contrary to two-dimensional theories, such as classical, the first- and the higher-order shear deformation plate theories, this approach does not neglect transverse normal deformations. The sandwich annular sector plate is assumed to be simply supported in the radial edges while any arbitrary boundary conditions are applied to the other two circular edges including simply supported, clamped and free.

Simulation and Modeling of Polyethylene/Clay Nanocomposite for Dielectric Application

  • Zazoum, Bouchaib;David, Eric;Ngo, Anh Dung
    • Transactions on Electrical and Electronic Materials
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    • 제15권4호
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    • pp.175-181
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    • 2014
  • In this paper, the simulation and modeling of a polyethylene/clay nanocomposite were undertaken to predict the nanocomposite's dielectric behavior and to help design a nanocomposite material with optimum electrical properties for electrotechnical or electronic applications. A 3-D simulation model using the finite elements method was employed in order to study the effective permittivity and electric field distribution of two-phase nanocomposite materials for ordered and random distributions of inclusions in a low-loss host matrix such as polyethylene. The influence of the dispersion of reinforcing particles, and of the permittivity and radius of the inclusions, was analysed. The simulation results were compared with alternative, known theoretical solutions obtained from classical models, and were found to be in good agreement. The numerical results also indicate that for fixed volume fractions of nanoparticles the effective permittivity of the mixture, for ordered and random distributions, does not vary with the degree of dispersion. The variation of the effective permittivity with the particle radius is shown, using numerical data, to agree with the analytical modules.

Vibration response of rotating carbon nanotube reinforced composites in thermal environment

  • Ozge Ozdemir;Ismail Esen;Huseyin Ural
    • Steel and Composite Structures
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    • 제47권1호
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    • pp.1-17
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    • 2023
  • This paper deals with the free vibration behavior of rotating composite beams reinforced with carbon nanotubes (CNTs) under uniform thermal loads. The temperature-dependent beam material is assumed to be a mixture of single-walled carbon nanotubes (SWCNTs) in an isotropic matrix and five different functionally graded (FG) distributions of CNTs are considered according to the variation along the thickness, namely the UD-uniform, FG-O, FG-V, FG-Λ and FG-X distributions where FG-V and FG-Λ are unsymmetrical patterns. Considering the Timoshenko beam theory (TBT), a new finite element formulation of functionally graded carbon nanotube reinforced composite (FGCNTRC) beam is created for the first time. And the effects of several essential parameters including rotational speed, hub radius, effective material properties, slenderness ratio, boundary conditions, thermal force and moments due to temperature variation are considered in the formulation. By implementing different boundary conditions, some new results of both symmetric and non-symmetrical distribution patterns are presented in tables and figures to be used as benchmark for further validation. In addition, as an alternative advanced composite application for rotating systems exposed to thermal load, the positive effects of CNT addition in improving the dynamic performance of the system have been observed and the results are presented in several tables and figures.

초기재령 콘크리트의 수화도와 온도 및 습도분포 해석 (Determination of Degree of Hydration, Temperature and Moisture Distributions in Early-age Concrete)

  • 차수원;오병환;이형준
    • 콘크리트학회논문집
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    • 제14권6호
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    • pp.813-822
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    • 2002
  • 본 연구에서 초기재령 콘크리트의 단면 내 수화도와 온도 및 습도분포를 구하는 3차원 유한요소 해석 프로그램을 개발하기 위한 수화도에 따른 재료 모델을 제시하고, 수치해석 절차에 관하여 정립하였다. 재료물성이 급격히 변화하는 초기재령 콘크리트의 거동을 모사하는 과정에서 온도 및 습도에 관련된 재료 물성이 수화도에 따라 결정하였다. 또한 수분거동 연구는 경화한(mature) 콘크리트에 대해서는 여러 연구자에 의해 수행되었지만, 초기재령 콘크리트의 전달계수, 수분용량에 관한 연구는 제대로 정립되지 않은 실정이다. 또한 일반적으로 보통콘크리트에서 무시되는 수분감소항은 고강도 및 고성능 콘크리트의 자기건조(self-desiccation)와 관련된 자기수축(autogenous shrinkage)을 유발하고, 이는 구조물의 장기 내구성 및 사용성 측면에서 중요한 관심사이다. 따라서 본 연구는 초기재령 콘크리트의 온도 및 수축에 의한 응력을 평가하기 위하여, 고강도 및 고성능 콘크리트를 포함한 초기재령 콘크리트의 온도 및 수분거동을 적절히 표현하는 수학적 재료 모델을 제시하고, 콘크리트의 단면 내 수화도와 온도 및 습도분포를 결정하는 3차원 유한요소 해석 프로그램을 개발하였다. 개발된 해석프로그램을 이용한 수치해석 결과는 실험결과와의 비교를 통하여 그 타당성을 검증하였다.

바이모달 이산정보에 대한 신뢰성해석 기법 비교 (Comparative Study of Reliability Analysis Methods for Discrete Bimodal Information)

  • 임우철;장준용;이태희
    • 대한기계학회논문집A
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    • 제37권7호
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    • pp.883-889
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    • 2013
  • 응답의 분포는 변수의 분포에 따라 달라진다. 특히 변수의 분포가 두 개 이상의 모드를 가질 때, 대부분 응답의 분포 또한 두 개 이상의 모드를 갖는다. 이런 문제에 대해 기존의 신뢰성해석 기법은 변수를 하나의 모드를 갖는 특정 연속확률분포로 가정하고 신뢰성해석을 수행한다. 하지만 실제 문제에서 변수들은 이산정보이면서 두 개 이상의 모드를 갖는 경우가 많기 때문에 변수의 분포에 대한 가정을 하지 않고 두 개 이상의 모드를 고려한 신뢰성해석을 수행하는 것은 매우 중요하다. 본 연구에서는 두 개 이상의 모드를 갖는 분포를 추정할 수 있는 기법인 아카이케정보척도와 최대엔트로피법칙을 이용하여 신뢰성해석을 수행한다. 수학예제를 통해 두 기법의 특징을 파악하고 몬테카를로 시뮬레이션의 결과와 비교하여 정확도를 검증한다.

Dual Detection-Guided Newborn Target Intensity Based on Probability Hypothesis Density for Multiple Target Tracking

  • Gao, Li;Ma, Yongjie
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제10권10호
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    • pp.5095-5111
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    • 2016
  • The Probability Hypothesis Density (PHD) filter is a suboptimal approximation and tractable alternative to the multi-target Bayesian filter based on random finite sets. However, the PHD filter fails to track newborn targets when the target birth intensity is unknown prior to tracking. In this paper, a dual detection-guided newborn target intensity PHD algorithm is developed to solve the problem, where two schemes, namely, a newborn target intensity estimation scheme and improved measurement-driven scheme, are proposed. First, the newborn target intensity estimation scheme, consisting of the Dirichlet distribution with the negative exponent parameter and target velocity feature, is used to recursively estimate the target birth intensity. Then, an improved measurement-driven scheme is introduced to reduce the errors of the estimated number of targets and computational load. Simulation results demonstrate that the proposed algorithm can achieve good performance in terms of target states, target number and computational load when the newborn target intensity is not predefined in multi-target tracking systems.

Weighted zero-inflated Poisson mixed model with an application to Medicaid utilization data

  • Lee, Sang Mee;Karrison, Theodore;Nocon, Robert S.;Huang, Elbert
    • Communications for Statistical Applications and Methods
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    • 제25권2호
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    • pp.173-184
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    • 2018
  • In medical or public health research, it is common to encounter clustered or longitudinal count data that exhibit excess zeros. For example, health care utilization data often have a multi-modal distribution with excess zeroes as well as a multilevel structure where patients are nested within physicians and hospitals. To analyze this type of data, zero-inflated count models with mixed effects have been developed where a count response variable is assumed to be distributed as a mixture of a Poisson or negative binomial and a distribution with a point mass of zeros that include random effects. However, no study has considered a situation where data are also censored due to the finite nature of the observation period or follow-up. In this paper, we present a weighted version of zero-inflated Poisson model with random effects accounting for variable individual follow-up times. We suggested two different types of weight function. The performance of the proposed model is evaluated and compared to a standard zero-inflated mixed model through simulation studies. This approach is then applied to Medicaid data analysis.

Buckling and free vibration analysis of tapered FG- CNTRC micro Reddy beam under longitudinal magnetic field using FEM

  • Mohammadimehr, M.;Alimirzaei, S.
    • Smart Structures and Systems
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    • 제19권3호
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    • pp.309-322
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    • 2017
  • In this paper, the buckling, and free vibration analysis of tapered functionally graded carbon nanotube reinforced composite (FG-CNTRC) micro Reddy beam under longitudinal magnetic field using finite element method (FEM) is investigated. It is noted that the material properties of matrix is considered as Poly methyl methacrylate (PMMA). Using Hamilton's principle, the governing equations of motion are derived by applying a modified strain gradient theory and the rule of mixture approach for micro-composite beam. Micro-composite beam are subjected to longitudinal magnetic field. Then, using the FEM, the critical buckling load, and natural frequency of micro-composite Reddy beam is solved. Also, the influences of various parameters including ${\alpha}$ and ${\beta}$ (the constant coefficients to control the thickness), three material length scale parameters, aspect ratio, different boundary conditions, and various distributions of CNT such as uniform distribution (UD), unsymmetrical functionally graded distribution of CNT (USFG) and symmetrically linear distribution of CNT (SFG) on the critical buckling load and non-dimensional natural frequency are obtained. It can be seen that the non-dimensional natural frequency and critical buckling load decreases with increasing of ${\beta}$ for UD, USFG and SFG micro-composite beam and vice versa for ${\alpha}$. Also, it is shown that at the specified value of ${\alpha}$ and ${\beta}$, the dimensionless natural frequency and critical buckling load for SGT beam is more than for the other state. Moreover, it can be observed from the results that employing magnetic field in longitudinal direction of the micro-composite beam increases the natural frequency and critical buckling load. On the other hands, by increasing the imposed magnetic field significantly increases the stability of the system that can behave as an actuator.

미세금형 가공을 위한 전기화학식각공정의 유한요소 해석 및 실험 결과 비교

  • 류헌열;임현승;조시형;황병준;이성호;박진구
    • 한국재료학회:학술대회논문집
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    • 한국재료학회 2012년도 춘계학술발표대회
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    • pp.81.2-81.2
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    • 2012
  • To fabricate a metal mold for injection molding, hot-embossing and imprinting process, mechanical machining, electro discharge machining (EDM), electrochemical machining (ECM), laser process and wet etching ($FeCl_3$ process) have been widely used. However it is hard to get precise structure with these processes. Electrochemical etching has been also employed to fabricate a micro structure in metal mold. A through mask electrochemical micro machining (TMEMM) is one of the electrochemical etching processes which can obtain finely precise structure. In this process, many parameters such as current density, process time, temperature of electrolyte and distance between electrodes should be controlled. Therefore, it is difficult to predict the result because it has low reliability and reproducibility. To improve it, we investigated this process numerically and experimentally. To search the relation between processing parameters and the results, we used finite element simulation and the commercial finite element method (FEM) software ANSYS was used to analyze the electric field. In this study, it was supposed that the anodic dissolution process is predicted depending on the current density which is one of major parameters with finite element method. In experiment, we used stainless steel (SS304) substrate with various sized square and circular array patterns as an anode and copper (Cu) plate as a cathode. A mixture of $H_2SO_4$, $H_3PO_4$ and DIW was used as an electrolyte. After electrochemical etching process, we compared the results of experiment and simulation. As a result, we got the current distribution in the electrolyte and line profile of current density of the patterns from simulation. And etching profile and surface morphologies were characterized by 3D-profiler(${\mu}$-surf, Nanofocus, Germany) and FE-SEM(S-4800, Hitachi, Japan) measurement. From comparison of these data, it was confirmed that current distribution and line profile of the patterns from simulation are similar to surface morphology and etching profile of the sample from the process, respectively. Then we concluded that current density is more concentrated at the edge of pattern and the depth of etched area is proportional to current density.

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Geometrically nonlinear dynamic analysis of FG graphene platelets-reinforced nanocomposite cylinder: MLPG method based on a modified nonlinear micromechanical model

  • Rad, Mohammad Hossein Ghadiri;Shahabian, Farzad;Hosseini, Seyed Mahmoud
    • Steel and Composite Structures
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    • 제35권1호
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    • pp.77-92
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    • 2020
  • The present paper outlined a procedure for geometrically nonlinear dynamic analysis of functionally graded graphene platelets-reinforced (GPLR-FG) nanocomposite cylinder subjected to mechanical shock loading. The governing equation of motion for large deformation problems is derived using meshless local Petrov-Galerkin (MLPG) method based on total lagrangian approach. In the MLPG method, the radial point interpolation technique is employed to construct the shape functions. A micromechanical model based on the Halpin-Tsai model and rule of mixture is used for formulation the nonlinear functionally graded distribution of GPLs in polymer matrix of composites. Energy dissipation in analyses of the structure responding to dynamic loads is considered using the Rayleigh damping. The Newmark-Newton/Raphson method which is an incremental-iterative approach is implemented to solve the nonlinear dynamic equations. The results of the proposed method for homogenous material are compared with the finite element ones. A very good agreement is achieved between the MLPG and FEM with very fine meshing. In addition, the results have demonstrated that the MLPG method is more effective method compared with the FEM for very large deformation problems due to avoiding mesh distortion issues. Finally, the effect of GPLs distribution on strength, stiffness and dynamic characteristics of the cylinder are discussed in details. The obtained results show that the distribution of GPLs changed the mechanical properties, so a classification of different types and volume fraction exponent is established. Indeed by comparing the obtained results, the best compromise of nanocomposite cylinder is determined in terms of mechanical and dynamic properties for different load patterns. All these applications have shown that the present MLPG method is very effective for geometrically nonlinear analyses of GPLR-FG nanocomposite cylinder because of vanishing mesh distortion issue in large deformation problems. In addition, since in proposed method the distributed nodes are used for discretization the problem domain (rather than the meshing), modeling the functionally graded media yields to more accurate results.