• Title/Summary/Keyword: finite elementary analysis

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Development of Finite State Automata Learning Materials for Elementary School Students (초등학생을 위한 유한상태 오토마타 교육자료 개발)

  • Go, Hyungchul;Kim, Chongwoo
    • Journal of The Korean Association of Information Education
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    • v.20 no.4
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    • pp.401-408
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    • 2016
  • CS Unplugged education is emphasized as the component of the basic principles of Elementary SW education. This document produced by two other Timbell presents the contents in a variety of topics about computer science. One of the main components is the finite Automata, and this requires the development of educational materials for teaching our situation. So We'll present the finite Automata learning materials for elementary school classes. Learning model that we have presented is a process of self-directed and activity-based learning. For verification of this experiment was the validation of the expert group and was concluded that adequate through the analysis of the diagnostic tests.

A Study on the Teaching Design of the Isoperimetric Problem on a Plane for Mathematically gifted students in the Elementary School - focused on the geometric methods - (초등 영재 교수.학습을 위한 평면에서의 등주문제 내용구성 연구 - 기하적인 방법을 중심으로 -)

  • Choi, Keun-Bae
    • The Mathematical Education
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    • v.50 no.4
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    • pp.441-466
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    • 2011
  • In this article, we study on the teaching design, focused on the geometric methods, of 2-D isoperimetric problem for the elementary mathematically gifted students. For our teaching design, we discussed the ideals of Zenodorus's polygon proof, Steiner's four-hinge proof, Steiner's mean boundary proof, Steiner's snowball-packing proof, Edler's finite existence proof and Lawlor's dissection proof, and then the ideals achieved were modified with the theoretical backgrounds-the theory of Freudenthal's mathematisation, the method of analysis-synthesis. We expect that this article would contribute to the elementary mathematically gifted students to acquire and to improve spatial sense.

Stability Analysis of Very Soft Soils Using Geotextiles: The Role of Model Test and Finite Element Analysis (토목섬유로 보강한 연약지반의 안정도 해석: 모형실험과 유한요소해석)

  • 고홍석;고남영
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.36 no.1
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    • pp.39-53
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    • 1994
  • To investigate the behaviour of the embankment on very soft foundation reinforced geotex- files,the laboratory model test in order to analyze the elementary effects of geotextile reinfor- cement and the finite element program analyzing the stresses and deformations characteristics was carried out. A two-dimensional nonlinear finite element program called GEOTEXT(a modification of ISBILD) for the static analysis of embankment on very soft foundation reinforced geotextiles has been developed. Both linear and nonlinear hyperbolic stress-strain soil models are inclu- ded, and incremental and stage construction can be simulated. However, the program GEO- TEXT is not developed herein as an adaptable design tool for practicing engineer. It was found that the geotextile reinforcement significantly reduced the shear stresses in the foundation and decreased the vertical differential settlements at the top of the embank- ment. This influence was more pronounced as the tensile strength of the geotextile was increased.

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A study on the spectrum assignment problem for a functional linear system (함수선형계의 스펙트럼지정문제에 관한 연구)

  • 이장우
    • 전기의세계
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    • v.31 no.3
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    • pp.209-217
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    • 1982
  • This paper considers a finite spectrum assignment Problem for a functional retarded linear differential system with delays in control only. In this problem, by generalizing from an abstract linear system characterized by Semigroups on a Hilbert space to a finite dimensional linear system, we unify the relationship between a control-delayed system and its non-delayed system, and then by using the spectrum of the generator-decomposition of Semigroup, we try to get a feedback law which yields a finite spectrum of the closed-loop system, located at an arbitrarily preassigned sets of n points in the complex plane. The comparative examinations between the standard spectrum assignment method and the method of spectral projection for the feedback law which consists of proportional and finite interval terms over present and past values of control variables are also considered. The analysis is carry down to the elementary spectral projection level because, in spite of all the research efforts, so far there has been no significant attempt to obtain the feedback implementation directly from the abstract representation forms in the case of multivariables.

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Dynamic Modeling and Analysis of the Composite Beams with a PZT Layer (PZT층을 갖는 복합재 보의 동역학 모델링 및 해석)

  • Kim, Dae-Hwan;Lee, U-Sik
    • Proceedings of the KSR Conference
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    • 2011.05a
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    • pp.314-316
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    • 2011
  • This paper develops a spectral element model for the composite beams with a surface-bonded piezoelectric layer from the governing equations of motion. The governing equations of motion are derived from Hamilton's principle by applying the Bernoulli-Euler beam theory for the bending vibration and the elementary rod theory for the longitudinal vibration of the composite beams. For the PZT layer, the Bernoulli-Euler beam theory and linear piezoelectricity theory are applied. The high accuracy of the present spectral element model is evaluated through the numerical examples by comparing with the finite element analysis results.

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An investigation on the vibrations of laminated shells under aeroacoustic loads using a WFE approach

  • Errico, Fabrizio;Franco, F.;Ichchou, M.;De Rosa, S.;Petrone, G.
    • Advances in aircraft and spacecraft science
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    • v.6 no.6
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    • pp.463-478
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    • 2019
  • The present work investigates the effect on the flow-induced vibrations of the lay-up sequence of composite laminated axisymmetric structures, using an hybrid approach based on a wave finite element and a transfer matrix method. The structural vibrations, under deterministic distributed pressure loads, diffuse acoustic field and turbulent boundary layer excitations, are analysed and compared. A multi-scale approach is used for the dynamic analysis of finite structures, using an elementary periodic subsystem. Different flow regimes and shell curvatures are analysed and the computational efficiency is also discussed.

On the use of the wave finite element method for passive vibration control of periodic structures

  • Silva, Priscilla B.;Mencik, Jean-Mathieu;Arruda, Jose R.F.
    • Advances in aircraft and spacecraft science
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    • v.3 no.3
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    • pp.299-315
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    • 2016
  • In this work, a strategy for passive vibration control of periodic structures is proposed which involves adding a periodic array of simple resonant devices for creating band gaps. It is shown that such band gaps can be generated at low frequencies as opposed to the well known Bragg scattering effects when the wavelengths have to meet the length of the elementary cell of a periodic structure. For computational purposes, the wave finite element (WFE) method is investigated, which provides a straightforward and fast numerical means for identifying band gaps through the analysis of dispersion curves. Also, the WFE method constitutes an efficient and fast numerical means for analyzing the impact of band gaps in the attenuation of the frequency response functions of periodic structures. In order to highlight the relevance of the proposed approach, numerical experiments are carried out on a 1D academic rod and a 3D aircraft fuselage-like structure.

Analysis of Broad- Band Grating Filter Response in Integrated Optics (집적 광학용 광대역 격자 필터의 해석)

  • 김언균;신상균
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.19 no.6
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    • pp.55-61
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    • 1982
  • An analytic solution for the spectral response of linearly-chirped grating filter is derived, which takes the finite physical length of filter into account. In the usual case of broad-band linearly-chirped grating filter the analytic solution is expressed in terms of elementary functions, by approximating asymptotically the involved parabolic cylinder functions over different ranges of its argument. It is also shown that derived results are general enough to include previously-available approximations as particular cases, and that they agree well with the numerical solutions based upon the Runge-Kutta method.

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Analytical study on Reinforced Concrete Deep Beams with Opening (철근콘크리트 유공 깊은 보에 대한 해석적 연구)

  • 이석주;이종권;이병해
    • Proceedings of the Korea Concrete Institute Conference
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    • 2000.04a
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    • pp.587-592
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    • 2000
  • As the residential spaces become high-rised and high-density, Multi-story buildings were constructed with transfer girders, Deep beams, wall foundations, floor diaphragms an shear walls which may have column offsets. Especially, In the analysis and design of Multi-story buildings, the lateral loads must be taken into account. But, there have been no appropriate theory and national design code for predicting ultimate shear strength of reinforced concrete Deep beams with web opening. Only empirical and semi-empirical formulas for predicting their ultimate load bearing capacities due to the complexities of the structural non-linearity and material heterogeneity. So this study analyze tow-dimensional finite element model that represents exactly the behavior of real structures with SBETA which are general nonlinear finite element analysis program, and compare the results with that from the real reinforced Concrete Deep beams with web opening tests. From the comparison, and parametric study, The Study presents the elementary data of the earthquake resistance for the reinforced concrete Deep beams with web opening.

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Stress concentration and deflection of simply supported box girder including shear lag effect

  • Yamaguchi, Eiki;Chaisomphob, Taweep;Sa-nguanmanasak, Jaturong;Lertsima, Chartree
    • Structural Engineering and Mechanics
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    • v.28 no.2
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    • pp.207-220
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    • 2008
  • The shear lag has been studied for many years. Nevertheless, existing research gives a variety of stress concentration factors. Unlike the elementary beam theory, the application of load is not unique in reality. For example, concentrated load can be applied as point load or distributed load along the height of the web. This non-uniqueness may be a reason for the discrepancy of the stress concentration factors in the existing studies. The finite element method has been often employed for studying the effect of the shear lag. However, not many researches have taken into account the influence of the finite element mesh on the shear lag phenomenon, although stress concentration can be quite sensitive to the mesh employed in the finite element analysis. This may be another source for the discrepancy of the stress concentration factors. It also needs to be noted that much less studies seem to have been conducted for the shear lag effect on deflection while some design codes have formulas. The present study investigates the shear lag effect in a simply supported box girder by the three-dimensional finite element method using shell elements. The whole girder is modeled by shell elements, and extensive parametric study with respect to the geometry of a box girder is carried out. Not only stress concentration but also deflection is computed. The effect of the way load is applied and the dependency of finite element mesh on the shear lag are carefully treated. Based on the numerical results thus obtained, empirical formulas are proposed to compute stress concentration and deflection that includes the shear lag effect.