• Title/Summary/Keyword: Relationship matrix

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Evaluation of Thermal Shock Damage of Metal Matrix Composite Using Ultasonics (초음파를 이용한 금속기지 복합재료의 열충격 손상 평가)

  • Kang, Moon-Phil;Lee, Min-Rae;Lee, Joon-Hyun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.29 no.11 s.242
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    • pp.1480-1487
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    • 2005
  • Metal matrix composites(MMCs) have been rapidly becoming one of the strongest candidates for structural materials fur many high temperature application. However, among the various high temperature environments in which metal matrix composites was applied, thermal shock is known to cause significant degradation in most MMC system. Due to the appreciable difference in coefficient of thermal expansion(CTE) between reinforcement and metal matrix, internal stresses are generated following temperature changes. Infernal stresses affect degradation of mechanical properties of MMC by causing microscopic damage in interface and matrix during thermal cycling. Therefore, the nondestructive evaluation on thermal shock damage behavior of SiC/A16061 composite has been carried out using ultrasonics. For this study, SiC fiber reinforced metal matrix composite specimens fabricated by a squeeze casting technique were thermally cycled in the temperature range 298$\~$673 K up to 1000cyc1es. Three point bending test was conducted to investigate the efffct of thermal shock damage on mechanical properties. The relationship between thermal shock damage behavior and the propagation characteristics of surface wave and SH-ultrasonic wave was discussed by considering the result of SEM observation of fracture surface.

An Analysis of Privacy and Accuracy for Privacy-Preserving Techniques by Matrix-based Randomization (행렬 기반 랜덤화를 적용한 프라이버시 보호 기술의 안전성 및 정확성 분석)

  • Kang, Ju-Sung;An, A-Ron;Hong, Do-Won
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.18 no.4
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    • pp.53-68
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    • 2008
  • We study on the practical privacy-preserving techniques by matrix-based randomization approach. We clearly examine the relationship between the two parameters associated with the measure of privacy breach and the condition number of matrix in order to achieve the optimal transition matrix. We propose a simple formula for efficiently calculating the inverse of transition matrix which are needed in the re-construction process of random substitution algorithm, and deduce some useful connections among standard error and another parameters by obtaining condition numbers according to norms of matrix and the expectation and variance of the transformed data. Moreover we give some experimental results about our theoretical expressions by implementing random substitution algorithm.

Dynamic Pricing Based on Reinforcement Learning Reflecting the Relationship between Driver and Passenger Using Matching Matrix (Matching Matrix를 사용하여 운전자와 승객의 관계를 반영한 강화학습 기반 유동적인 가격 책정 체계)

  • Park, Jun Hyung;Lee, Chan Jae;Yoon, Young
    • The Journal of The Korea Institute of Intelligent Transport Systems
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    • v.19 no.6
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    • pp.118-133
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    • 2020
  • Research interest in the Mobility-as-a-Service (MaaS) concept for enhancing users' mobility experience is increasing. In particular, dynamic pricing techniques based on reinforcement learning have emerged since adjusting prices based on the demand is expected to help mobility services, such as taxi and car-sharing services, to gain more profit. This paper provides a simulation framework that considers more practical factors, such as demand density per location, preferred prices, the distance between users and drivers, and distance to the destination that critically affect the probability of matching between the users and the mobility service providers (e.g., drivers). The aforementioned new practical features are reflected on a data structure referred to as the Matching Matrix. Using an efficient algorithm of computing the probability of matching between the users and drivers and given a set of precisely identified high-demand locations using HDBSCAN, this study developed a better reward function that can gear the reinforcement learning process towards finding more realistic dynamic pricing policies.

Reanalysis for Correlating and Updating Dynamic Systems Using Frequency Response Functions (FRF를 이용한 동적 구조 시스템의 구조추정 및 재해석)

  • 한경봉;박선규
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2004.04a
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    • pp.49-56
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    • 2004
  • Model updating is a very active research field, in which significant efforts has been invested in recent years. Model updating methodologies are invariably successful when used on noise-free simulated data, but tend to be unpredictable when presented with real experimental data that are-unavoidably-corrupted with uncorrected noise content. In this paper, Reanalysis using frequency response functions for correlating and updating dynamic systems is presented. A transformation matrix is obtained from the relationship between the complex and the normal frequency response functions of a structure. The transformation matrix is employed to calculate the modified damping matrix of the system. The modified mass and stiffness matrices are identified from the normal frequency response functions by using the least squares method. One simulated system is employed to illustrate the applicability of the proposed method. The result indicate that the damping matrix of correlated finite element model can be identified accurately by the proposed method. In addition, the robustness of the new approach uniformly distributed measurement noise Is also addressed.

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A Study on Evaluation of Thermal Shock Damage of Metal Matrix Composite using Ultrasonics (초음파를 이용한 금속복합재료의 열충격 손상 평가 연구)

  • 강문필;이준현
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2000.04a
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    • pp.31-37
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    • 2000
  • Metal matrix composites(MMCs) are rapidly becoming one of the strongest candidates for structural materials for many high temperature application. Among the high temperature environment, thermal shock is known to cause significant degradation in most MMC system. Therefore, the nondestructive evaluation on thermal shock damage behavior of SiC/A16061 composite has been carried out using ultrasonic surface and SH-waves. For this study, Sic fiber reinforced metal matrix composite specimens fabricated by a squeeze casting technique were thermally cycled in the temperature range 25~$400^{\circ}C$ up to 1000 cycles. Three point bend test was conducted to investigate the effect of thermal shock damage on mechanical properties. The relationship between thermal shock damage behavior and the change of ultrasonic velocity and attenuation were discussed by considering SEM observation of fracture surface.

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RELATION BETWEEN KNEADING MATRICES OF A MAP AND ITS ITERATES

  • Gopalakrishna, Chaitanya;Veerapazham, Murugan
    • Communications of the Korean Mathematical Society
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    • v.35 no.2
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    • pp.571-589
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    • 2020
  • It is known that the kneading matrix associated with a continuous piecewise monotone self-map of an interval contains crucial combinatorial information of the map and all its iterates, however for every iterate of such a map we can associate its kneading matrix. In this paper, we describe the relation between kneading matrices of maps and their iterates for a family of chaotic maps. We also give a new definition for the kneading matrix and describe the relationship between the corresponding determinant and the usual kneading determinant of such maps.

Concrete stiffness matrices for membrane elements

  • Hsu, Thomas T.C.
    • Structural Engineering and Mechanics
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    • v.5 no.5
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    • pp.599-608
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    • 1997
  • The concrete stiffness matrices of membrane elements used in the finite element analysis of wall-type structures are reviewed and discussed. The behavior of cracked reinforced concrete membrane elements is first described by summarizing the constitutive laws of concrete and steel established for the two softened truss models (the rotating-angle softened-truss model and the fixed-angle softened-truss model). These constitutive laws are then related to the concrete stiffness matrices of the two existing cracking models (the rotating-crack model and the fixed-crack model). In view of the weakness in the existing models, a general model of the matrix is proposed. This general matrix includes two Poisson ratios which are not clearly understood at present. It is proposed that all five material properties in the general matrix should be established by new biaxial tests of panels using proportional loading and strain-control procedures.

Impact Damage of CFRP Laminated Composites Subjected to Impact Loading (충격하중을 받는 CFRP 적층복합재의 충격손상에 관한 연구)

  • M.S. KiM;Park, S.B.
    • Journal of the Korean Society for Precision Engineering
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    • v.14 no.7
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    • pp.116-125
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    • 1997
  • An investigation was performed to study the impact damage in CFRP laminated composites subjected to impact loading. A finite element model has been developed for predicting the impact damage in laminated composite plates resulting from the ballistic impact. The finite element model was based on the higher-order shear deformation theory and was used to predict the initial intraply matrix cracking and the shape and size of interface delamination in laminated composites. Numerical simulation was performed and then the initiation of the matrix cracking and the shape and size of impacted induced delamination were predicted, and te results were compared with those of impact experiments with the same dimension and stacking sequences. A linear relationship holds between impact velocity and length and width of delamination. As impact velocity is increased, the increase of delamination length is highger than the increase of delamination width.

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Service System Design Using Fuzzy Service FMEA and HOQ Matrix Algebra (Fuzzy Service FMEA 및 HOQ 행렬 대수를 이용한 서비스 시스템 설계)

  • Kim, Jun-Hong
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.35 no.3
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    • pp.155-162
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    • 2012
  • This study proposes an integrated approach that uses both a fuzzy service FMEA (failure mode and effect analysis) and HOQ (house of quality) matrix algebra in designing and improving a service system. The fuzzy service FMEA methodology applies the customer satisfaction to the fuzzy RPN model. We fuzzify only the service satisfaction that consist in two failure factors, intangible service and tangible service, to more effectively assess the customer satisfactions on service encounters. Proposed fuzzy service satisfactions with triangle membership function are defuzzified by using the Fuzzy Inference System, and these are eventually identified the ranks on the potential fail points. HOQ matrices are constructed from cause-effect relationships. It is possible for these relationship matrix to find a linear approximation solution on the engineering attributes. Thus, in order to demonstrate how the proposed methods work, practical sample of the A/S part in S Electronic Co. provides for the ranking of the engineering attributes which has been successfully implemented.

System Identification of Dynamic Systems Using Structural Reanalysis Method (재해석 기법을 이용한 동적 구조시스템의 System Identification)

  • Han, Kyoung-Bong;Park, Sun-Kyu;Kim, Hyeong-Yeol
    • Proceedings of the Korea Concrete Institute Conference
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    • 2004.11a
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    • pp.421-424
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    • 2004
  • Model updating is a very active research field, in which significant efforts has been invested in recent years. Model updating methodologies are invariably successful when used on noise-free simulated data, but tend to be unpredictable when presented with real experimental data that are-unavoidably-corrupted with uncorrelated noise content. In this paper, Reanalysis using frequency response functions for correlating and updating dynamic systems is presented. A transformation matrix is obtained from the relationship between the complex and the normal frequency response functions of a structure. The transformation matrix is employed to calculate the modified damping matrix of the system. The modified mass and stiffness matrices are identified from the normal frequency response functions by using the least squares method. Full scale pseudo dynamic pier test is employed to illustrate the applicability of the proposed method. The result indicate that the damping matrix of correlated finite element model can be identified accurately by the proposed method. In addition, the robustness of the new approach uniformly distributed measurement noise is also addressed.

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