• 제목/요약/키워드: mathematical structures

검색결과 937건 처리시간 0.026초

감성제어 시스템의 구현 (Implementation of Human Sensibility Ergonomics Control System)

  • 김규식;최익;안현식
    • 정보통신설비학회논문지
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    • 제2권2호
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    • pp.46-58
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    • 2003
  • 인간이 원하는 감성에 따라 환경 요소값이 변하고 이로 인해 변하는 현재 환경 안에서 인간이 자신의 최적의 쾌적감을 느끼도록 하는 것이 바로 감성공학을 응용한 제품 개발의 주목적이라고 할 수 있다. 이를 위해서는 제품 개발 이전에 인간 감성에 대한 평가와 분석 과정이 선행되어져야 한다. 본 논문은 쾌적감성과 감각의 구조를 분석한 연구결과에 대하여 신경망이론을 적용하여, 수학적으로 표현하기 어려운 인간의 쾌적감성과 감각의 관계성을 학습시킨다. 또한, 가변적 실내 환경에서 인간의 감성 요구치에 대해 환경을 변화시킴으로써 인간이 스스로 원하는 최적의 쾌적감을 느낄 수 있는 실내 환경을 모의로 구현해 볼 수 있는 시뮬레이터을 제시한다.

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동적 스택시스템의 설계와 성능분석 (On the Design and Performance Analysis of Dynamic Stack Systems)

  • 정치봉
    • 한국정보처리학회논문지
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    • 제2권3호
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    • pp.364-373
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    • 1995
  • 본 논문은 동적 자료구조의 확률론적 운영방식의 설계와 그 성능분석의 이론적 접근 방법을 제시한다. 즉 m개의 셀로서 구성된 일련의 연속된 블록에 두 개의 스택 을 할당하여 공유하는 시스템의 확률적 운용방식의 효율성을 해석적 방법에 의한 성 능분석을 통하여 그 결과를 제시한다. 특히 스택 원소의 삽입과 제거는 스택의 현재 의 크기에 따라 빈도를 달리하는 방식을 제안한다. 따라서 두 스택의 충돌까지 스택 조작 횟수의 평균과 분산등 통계적 특성을 희소 사건 확률 계산이론에 의하여 m$\longrightarrow$$\infty$ 일 때 점근적 결과를 제시한다. 또한 유한상태기계, 컴퓨터 및 정보 시스템의 성능 분석에 응용할 수 있는 보다 일반적인 방법을 고찰한다.

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Three-dimensional structural design based on cellular automata simulation

  • Kita, E.;Saito, H.;Tamaki, T.;Shimizu, H.;Xie, Y.M.
    • Structural Engineering and Mechanics
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    • 제23권1호
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    • pp.29-42
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    • 2006
  • This paper describes the design scheme of the three-dimensional structures based on the concept of the cellular automata simulation. The cellular automata simulation is performed according to the local rule. In this paper, the local rule is derived in the mathematical formulation from the optimization problem. The cell density is taken as the design variable. Two objective functions are defined for reducing the total weight of the structure and obtaining the fully stressed structure. The constraint condition is defined for defining the local rule. The penalty function is defined from the objective functions and the constraint condition. Minimization of the penalty function with respect to the design parameter leads to the local rule. The derived rule is applied to the design of the three-dimensional structure first. The final structure can be obtained successfully. However, the computational cost is expensive. So, in order to reduce the computational cost, the material parameters $c_1$ and $c_2$ and the value of the cell rejection criterion (CRC) are changed. The results show that the computational cost depends on the parameters and the CRC value.

Deflection and vibration analysis of higher-order shear deformable compositionally graded porous plate

  • Ebrahimi, Farzad;Habibi, Sajjad
    • Steel and Composite Structures
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    • 제20권1호
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    • pp.205-225
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    • 2016
  • In this study the finite element method is utilized to predict the deflection and vibration characteristics of rectangular plates made of saturated porous functionally graded materials (PFGM) within the framework of the third order shear deformation plate theory. Material properties of PFGM plate are supposed to vary continuously along the thickness direction according to the power-law form and the porous plate is assumed of the form where pores are saturated with fluid. Various edge conditions of the plate are analyzed. The governing equations of motion are derived through energy method, using calculus of variations while the finite element model is derived based on the constitutive equation of the porous material. According to the numerical results, it is revealed that the proposed modeling and finite element approach can provide accurate deflection and frequency results of the PFGM plates as compared to the previously published results in literature. The detailed mathematical derivations are presented and numerical investigations are performed while the emphasis is placed on investigating the effect of the several parameters such as porosity volume fraction, material distribution profile, mode number and boundary conditions on the natural frequencies and deflection of the PFGM plates in detail. It is explicitly shown that the deflection and vibration behaviour of porous FGM plates are significantly influenced by these effects. Numerical results are presented to serve as benchmarks for future analyses of FGM plates with porosity phases.

Testing of the permeability of concrete box beam with ion transport method in service

  • Wang, Jia Chun
    • Computers and Concrete
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    • 제15권3호
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    • pp.461-471
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    • 2015
  • The permeability is the most direct indicator to reflect the durability of concrete, and the testing methods based on external electric field can be used to evaluate concrete permeability rapidly. This study aims to use an experiment method to accurately predict the permeability of concrete box beam during service. The ion migration experiments and concrete surface resistivity are measured to evaluate permeability of five concrete box beams, and the relations between these results in service concrete and electric flux after 6 hours by ASTM C1202 in the laboratory are analyzed. The chloride diffusion coefficient of concrete, concrete surface resistivity and concrete 6 hours charge have good correlation relationship, which denote that the chloride diffusion coefficient and the surface resistivity of concrete are effective for evaluating the durability of concrete structures. The chloride diffusion coefficient of concrete is directly evaluated permeability of concrete box beam in service and may be used to predict the service life, which is fit to engineering applications and the concrete box beam is non-destructive. The concrete surface resistivity is easier available than the chloride diffusion coefficient, but it is directly not used to calculate the service life. Therefore the mathematical relation of the concrete surface resistivity and the concrete chloride diffusion coefficient need to be found, which the service life of reinforced concrete is obtained by the concrete surface resistivity.

Pulsating fluid induced dynamic stability of embedded viscoelastic piezoelectric separators using different cylindrical shell theories

  • Pour, H. Rahimi;Arani, A. Ghorbanpour;Sheikhzadeh, Gh.
    • Steel and Composite Structures
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    • 제24권4호
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    • pp.499-512
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    • 2017
  • This paper deals with nonlinear dynamic stability of embedded piezoelectric nano-composite separators conveying pulsating fluid. For presenting a realistic model, the material properties of structure are assumed viscoelastic based on Kelvin-Voigt model. The separator is reinforced with single-walled carbon nanotubes (SWCNTs) which the equivalent material properties are obtained by mixture rule. The separator is surrounded by elastic medium modeled by nonlinear orthotropic visco Pasternak foundation. The separator is subjected to 3D electric and 2D magnetic fields. For mathematical modeling of structure, three theories of classical shell theory (CST), first order shear deformation theory (FSDT) and sinusoidal shear deformation theory (SSDT) are applied. The differential quadrature method (DQM) in conjunction with Bolotin method is employed for calculating the dynamic instability region (DIR). The detailed parametric study is conducted, focusing on the combined effects of the external voltage, magnetic field, visco-Pasternak foundation, structural damping and volume percent of SWCNTs on the dynamic instability of structure. The numerical results are validated with other published works as well as comparing results obtained by three theories. Numerical results indicate that the magnetic and electric fields as well as SWCNTs as reinforcer are very important in dynamic instability analysis of structure.

Enhancement of thermal buckling strength of laminated sandwich composite panel structure embedded with shape memory alloy fibre

  • Katariya, Pankaj V.;Panda, Subrata K.;Hirwani, Chetan K.;Mehar, Kulmani;Thakare, Omprakash
    • Smart Structures and Systems
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    • 제20권5호
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    • pp.595-605
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    • 2017
  • The present article reported the thermal buckling strength of the sandwich shell panel structure and subsequent improvement of the same by embedding shape memory alloy (SMA) fibre via a general higher-order mathematical model in conjunction with finite element method. The geometrical distortion of the panel structure due to the temperature is included using Green-Lagrange strain-displacement relations. In addition, the material nonlinearity of SMA fibre due to the elevated thermal environment also incorporated in the current analysis through the marching technique. The final form of the equilibrium equation is obtained by minimising the total potential energy functional and solved computationally with the help of an original MATLAB code. The convergence and the accuracy of the developed model are demonstrated by solving similar kind of published numerical examples including the necessary input parameter. After the necessary establishment of the newly developed numerical solution, the model is extended further to examine the effect of the different structural parameters (side-to-thickness ratios, curvature ratios, core-to-face thickness ratios, volume fractions of SMA fibre and end conditions) on the buckling strength of the SMA embedded sandwich composite shell panel including the different geometrical configurations.

Damped dynamic responses of a layered functionally graded thick beam under a pulse load

  • Asiri, Saeed A.;Akbas, Seref D.;Eltaher, Mohamed A.
    • Structural Engineering and Mechanics
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    • 제75권6호
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    • pp.713-722
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    • 2020
  • This article aims to illustrate the damped dynamic responses of layered functionally graded (FG) thick 2D beam under dynamic pulse sinusoidal load by using finite element method, for the first time. To investigate the response of thick beam accurately, two-dimensional plane stress problem is assumed to describe the constitutive behavior of thick beam structure. The material is distributed gradually through the thickness of each layer by generalized power law function. The Kelvin-Voigt viscoelastic constitutive model is exploited to include the material internal damping effect. The governing equations are obtained by using Lagrange's equations and solved by using finite element method with twelve -node 2D plane element. The dynamic equation of motion is solved numerically by Newmark implicit time integration procedure. Numerical studies are presented to illustrate stacking sequence and material gradation index on the displacement-time response of cantilever beam structure. It is found that, the number of waves increases by increasing the graduation distribution parameter. The presented mathematical model is useful in analysis and design of nuclear, marine, vehicle and aerospace structures those manufactured from functionally graded materials (FGM).

MASSIVE BLACK HOLE EVOLUTION IN RADIO-LOUD ACTIVE GALACTIC NUCLEI

  • FLETCHER ANDRE B.
    • 천문학회지
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    • 제36권3호
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    • pp.177-187
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    • 2003
  • Active galactic nuclei (AGNs) are distant, powerful sources of radiation over the entire electromagnetic spectrum, from radio waves to gamma-rays. There is much evidence that they are driven by gravitational accretion of stars, dust, and gas, onto central massive black holes (MBHs) imprisoning anywhere from $\~$1 to $\~$10,000 million solar masses; such objects may naturally form in the centers of galaxies during their normal dynamical evolution. A small fraction of AGNs, of the radio-loud type (RLAGNs), are somehow able to generate powerful synchrotron-emitting structures (cores, jets, lobes) with sizes ranging from pc to Mpc. A brief summary of AGN observations and theories is given, with an emphasis on RLAGNs. Preliminary results from the imaging of 10000 extragalactic radio sources observed in the MITVLA snapshot survey, and from a new analytic theory of the time-variable power output from Kerr black hole magnetospheres, are presented. To better understand the complex physical processes within the central engines of AGNs, it is important to confront the observations with theories, from the viewpoint of analyzing the time-variable behaviours of AGNs - which have been recorded over both 'short' human ($10^0-10^9\;s$) and 'long' cosmic ($10^{13} - 10^{17}\;s$) timescales. Some key ingredients of a basic mathematical formalism are outlined, which may help in building detailed Monte-Carlo models of evolving AGN populations; such numerical calculations should be potentially important tools for useful interpretation of the large amounts of statistical data now publicly available for both AGNs and RLAGNs.

Effects of upstream two-dimensional hills on design wind loads: A computational approach

  • Bitsuamlak, G.;Stathopoulos, T.;Bedard, C.
    • Wind and Structures
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    • 제9권1호
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    • pp.37-58
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    • 2006
  • The paper describes a study about effects of upstream hills on design wind loads using two mathematical approaches: Computational Fluid Dynamics (CFD) and Artificial Neural Network (NN for short). For this purpose CFD and NN tools have been developed using an object-oriented approach and C++ programming language. The CFD tool consists of solving the Reynolds time-averaged Navier-Stokes equations and $k-{\varepsilon}$ turbulence model using body-fitted nearly-orthogonal coordinate system. Subsequently, design wind load parameters such as speed-up ratio values have been generated for a wide spectrum of two-dimensional hill geometries that includes isolated and multiple steep and shallow hills. Ground roughness effect has also been considered. Such CFD solutions, however, normally require among other things ample computational time, background knowledge and high-capacity hardware. To assist the enduser, an easier, faster and more inexpensive NN model trained with the CFD-generated data is proposed in this paper. Prior to using the CFD data for training purposes, extensive validation work has been carried out by comparing with boundary layer wind tunnel (BLWT) data. The CFD trained NN (CFD-NN) has produced speed-up ratio values for cases such as multiple hills that are not covered by wind design standards such as the Commentaries of the National Building Code of Canada (1995). The CFD-NN results compare well with BLWT data available in literature and the proposed approach requires fewer resources compared to running BLWT experiments.