• Title/Summary/Keyword: composite function

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섬유배향각 분포측정에 잇어서 교점계수법의 정밀도에 미치는 섬유종횡비와 면적비의 영향

  • 이상동;김혁;한길영;김이곤
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1995.10a
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    • pp.659-663
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    • 1995
  • The fiber oriented conditied inside fiber reinforced composite material is a basic factor of mechanical properties of composite materials. It is very important to measure the fiber orientation angel for the determination of molding conditions, mechanical charactistics, and the design of composite materials. In the work, the fiber orientation distribution of simulation figure plotted by PC is measured using image processing in order to examine thr accuracy of intersection counting method. The fiber orientation function measured by intersection countingmethod using image processing is compared with the calculated fiber orientation function. The results show that the measured value of fiber orientation function using intersection counting method is lower than the calculated value, because the number of intersection between the secant line and the fiber with smaller fiber aspect ratio is counted less than with larger fiber aspect ratio.

Stabilizing Controller Design for Time-delay Singularly Perturbed Systems by H Norm and Lambert W Function (시간지연을 갖는 특이 섭동 시스템에서 H놈과 램버트 W 함수를 이용한 안정화 제어기 설계)

  • Kim, Beomsoo
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.62 no.8
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    • pp.1144-1150
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    • 2013
  • The stabilizing controller design problem of time-delay singularly perturbed systems is considered. The proposed approach is based on the $H_{\infty}$ norm and the composite control method. A sufficient condition for the stability of the time-delay slow subsystem is presented. Using this condition, we can construct the composite control law for the time-delay singularly perturbed system and analysis the system by the matrix Lambert W function. Illustrated examples are presented to demonstrate the validity and applicability of the proposed method.

Walking Load Function for an Estimation of Floor Vibration of a Composite Deck Plate Slab (합성데크플레이트의 진동환경예측을 위한 보행하중 제안)

  • Kim, Hee-Cheul;Choi, June-Ho;Lee, Young-Hak;Kim, De-Joong
    • KIEAE Journal
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    • v.8 no.1
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    • pp.105-110
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    • 2008
  • Most high rise buildings have been constructed with steel structure systems with metal deck floors and concrete topping. Since the mass of the metal deck floor system is relatively thinner than that of the concrete floor system and due to the larger span compared to other floor systems, vibration serviceability problems are frequently occurred. Most of vibration problems are induced by the movement of humans. A walking load function was proposed for the better estimation of composite deck floor vibration based on site measurements in this paper.

A study on the student's question about the existence of the inverse function for the task that connects the two correspondence relations (두 대응관계를 연결한 과제에 대하여 역함수 존재 여부에 대한 학생의 질문에 관한 소고)

  • Lee, Dong Gun
    • The Mathematical Education
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    • v.58 no.2
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    • pp.239-262
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    • 2019
  • This study deals with the anxieties that originated from specific student questions. Through the analysis of the textbooks, we confirmed that the question was a sufficiently plausible question. Third interviews were also held with three high school students. Through the interviews, we analyzed students' expressions about the new correspondence relationship that the two correspondence relations are linked. In the determination of the composite function and the determination of the inverse function existence, We have observed a case of how the worries about domain are being reconstructed from students into meaningful mathematical knowledge. Through this, we confirmed that the question will be confusing to students in the field. In this study, we observed the transfer of domain in relation to student domain in composite function. In particular, a present study revealed that the students involved in the interview were influenced by this domain transfer phenomenon in determining whether the task given in the interview was a function. This was the same in determining the existence of a inverse function. The examples presented in this study are limited to specific cases in limited circumstances. Therefore, it can not be applied directly to teaching and learning situations. However, it is expected that this study will provide other researchers with insight into function learning related research.

A simplified matrix stiffness method for analysis of composite and prestressed beams

  • Deretic-Stojanovic, Biljana;Kostic, Svetlana M.
    • Steel and Composite Structures
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    • v.24 no.1
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    • pp.53-63
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    • 2017
  • The paper presents the simplified matrix stiffness method for analysis of composite and prestressed beams. The method is based on the previously developed "exact" analysis method that uses the mathematical theory of linear integral operators to derive all relations without any mathematical simplifications besides inevitable idealizations related to the material rheological properties. However, the method is limited since the closed-form solution can be found only for specific forms of the concrete creep function. In this paper, the authors proposed the simplified analysis method by introducing the assumption that the unknown deformations change linearly with the concrete creep function. Adopting this assumption, the nonhomogeneous integral system of equations of the "exact" method simplifies to the system of algebraic equations that can be easily solved. Therefore, the proposed method is more suitable for practical applications. Its high level of accuracy in comparison to the "exact" method is preserved, which is illustrated on the numerical example. Also, it is more accurate than the well-known EM method.

Optimization of Composite Laminated Plate Using Fuzzy Set Theory (퍼지 이론을 이용한 복합재 적층판의 최적설계)

  • 홍영기;이종호;구만회;우호길
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 1999.11a
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    • pp.63-67
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    • 1999
  • This paper presents the optimization of CFRP laminated rectangular plates using fuzzy theory. In optimization, thickness of CFRP lamina and fiber angle are taken as design variables, and total thickness of the plates is minimized under Tsai-Hill failure criterion. The uncertainties are entered by introducing fuzzy material strengths and then the objective and constraints are represented by a membership function of their own according to the intersection method. Various design results are presented for the CFRP laminated composites plates.

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Probabilistic elastic-plastic analysis of repaired cracks with bonded composite patch

  • Mechab, Belaid;Chama, Mourad;Kaddouri, Khacem;Slimani, Djelloul
    • Steel and Composite Structures
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    • v.20 no.6
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    • pp.1173-1182
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    • 2016
  • The objective of this work was to evaluate the ductile cracked structures with bonded composite patch used in probabilistic elastic plastic fracture mechanics subjected to tensile load. The finite element method is used to analyze the stress intensity factors for elastic case, the effect of cracks and the thickness of the patch ($e_r$) are presented for calculating the stress intensity factors. For elastic-plastic the Monte Carlo method is used to predict the distribution function of the mechanical response. According to the obtained results, we note that the stress variations are important factors influencing on the distribution function of (J/Je).

Electromagnetic Wave Propagation in Anisotropic Composite Structures (이방성 복합재료의 전자기파 투과특성)

  • 전흥재;신현수
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2002.04a
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    • pp.407-414
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    • 2002
  • The knowledge of interaction of electromagnetic waves in composite structures is important for designing the shielding structure for antenna such as radome. Recently, radomes are constructed in the form of foam core sandwich structures that have many mechanical advantages such as high strength, long fatigue life, low density and adaptability to the intended function of structure. However, the propagation of electromagnetic waves is affected by high anisotropic permeability and loss tangent of the composite skin. In this study, the analytical model to understand the propagation of electromagnetic waves in the anisotropic composites and foam core sandwich structures with composite skins was proposed. Numerical analyses of unidirectional composites and foam core sandwich structure as a function of incident angle were performed. From the results of analysis, the general tendencies of transmittance of electromagnetic wave through composites and foam core sandwich structure were obtained.

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Vibration Analysis of Composite Satellite Antenna by Acoustic Excitation (음향 가진에 의한 위성 안테나의 진동해석)

  • ;;;;;Horst Stockburger
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2002.05a
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    • pp.123-126
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    • 2002
  • Acoustic vibration analysis has been performed using random vibration analysis module of MSC/NASTRAN to evaluate the safety of the composite satellite antenna structure under the acoustic pressure from the launch vehicle. It was found that maximum $3\sigma$ stress by acoustic excitation was less than allowable stress.

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Microstructure and Impactive Flexural Vibration Characteristics of Glass-Fabric/Epoxy Composite Beams (유리직물/에폭시 복합재료 보의 내부구조와 충격굽힘진동특성)

  • 서지웅;최낙삼
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 1999.04a
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    • pp.53.1-56
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    • 1999
  • The vibration behavior of glass-fabric reinforced plastic(GFRP) composite beams subjected to various transverse impacts has been investigated as a function of fiber orientation and void fraction. Theoretical results of resonant frequency damping coefficient and modal amplitude dispersion using the Euler-beam theory were obtained along with the finite element analysis which were compared with experimental ones Consequently it was shown that the transverse vibration characteristics were largely affected by fiber orientation and void fraction.

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