• Title/Summary/Keyword: Three-dimensional matrix model

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Analysis of Effective Elastic Modulus and Interfacial Bond Strength of Aluminum Borate Whisker Reinforced Mg Matrix Composite by Using Three Dimensional Unit Cell Model (3차원 Unit Cell 모델을 이용한 알루미늄 보레이트 휘스커 강화 Mg 복합재료의 유효 탄성계수 및 계면강도의 분석)

  • Son, Jae Hyoung;Lee, Wook Jin;Park, Yong Ha;Park, Yong Ho;Park, Ik Min
    • Korean Journal of Metals and Materials
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    • v.48 no.5
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    • pp.469-475
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    • 2010
  • In this study, the interfacial bond strength of a squeeze infiltrated $Al_{18}B_{4}O_{33}$/AS52 Mg composite was investigated by using a finite element method. Three types of Mg composites with volume fractions of 15, 25 and 35% were fabricated. Three-dimensional models of the composite were developed by using a unit cell model in order to determine the effective elastic modulus of the metal matrix composite and the interfacial bond strength between the whisker and magnesium matrix. After modeling, numerical results were compared with the experimental tensile test results of $Al_{18}B_{4}O_{33}$/AS52 Mg composites. The results showed that the effective modulus of the composite strongly depended on the interfacial strength between the matrix and reinforcement. Based on the numerical and experimental findings, it was found that the strong interfacial bond was achieved by the interfacial reaction product of 30 nm thick MgO, which led to an improvement in the mechanical properties of the $Al_{18}B_{4}O_{33}$/AS52 Mg composites.

A Study of Sensitivity Analysis on Dynamic Response of Three Dimensional Rectilinear Structure (3 차원 직선형 구조물의 동적응답에 대한 감도해석)

  • Moon, D.H.;Kang, H.S.;Choi, M.S.
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2000.06a
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    • pp.556-562
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    • 2000
  • This paper presents new sensitivity analysis algorithm for the dynamic response of three dimensional rectilinear type structure. This method is derived from a combination of the transfer stiffness coefficient method(TSCM) and the Newmark method. We developed dynamic response analysis algorithm by TSCM. This method has more safe computational precision and time than transfer matrix method(TMM). We defined new design variable and object function, and computated simple three dimensional computation model by TSCM. The presented analysis algorithm was validated by results of changing design variable.

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A dynamic analysis for constrained multibody systems using pseudo-inverse and projection matrix (준역행렬과 투영행렬을 이용한 구속 다물체계의 동역학 해석)

  • Kim, Oe-Jo;Yoo, Wan-Suk
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.22 no.1
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    • pp.170-176
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    • 1998
  • In this paper, the column space and null space of the Jacobian matrix were obtained by using the pseudo-inverse method and projection matrix. The equations of motion of the system were replaced by independent acceleration components using the null space matrix. The proposed method has the following advantages. (1) It is simple to derive the null space. (2) The efficiency is improved by getting rid of constrained force terms. (3) Neither null space updating nor coordinate partitioning method is required. The suggested algorithm is applied to a three-dimensional vehicle model to show the efficiency.

NUMERICAL STUDY FOR THE FULL-SCALE ANALYSIS OF PLATE-TYPE HEAT EXCHANGER USING ONE-DIMENSIONAL FLOW NETWORK MODEL and ε-NTU METHOD (판형 열교환기 Full-scale 해석을 위한 1차원 유동 네트워크 모델 및 ε-NTU 모델의 수치적 연구)

  • Kim, Minsung;Min, June Kee;Ha, Man Yeong
    • Journal of computational fluids engineering
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    • v.19 no.1
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    • pp.47-56
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    • 2014
  • Since a typical plate heat exchanger is made up of a huge number of unitary cells, it may be impossible to predict the aero-thermal performance of the full scale heat exchanger through three-dimensional numerical simulation due to the enormous amount of computing resources and time required. In the present study, a simple flow-network model using the friction factor correlation and a thermal-network model based on the effectiveness-number of transfer units (${\varepsilon}$-NTU) method has been developed. The complicated flow pattern inside the cross-corrugated heat exchanger has been modeled into flow and thermal networks. Using this model, the heat transfer between neighboring streams can be considered, and the pressure drop and the heat transfer rate of full-scale heat exchanger matrix are calculated. In the calculation, the aero-thermal performance of each unitary cell of the heat exchanger matrix was evaluated using correlations of the Fanning friction factor f and the Nusselt number Nu, which were calculated by unitary-cell CFD model.

Three Dimensional Finite Element Analysis of Particle Reinforced Metal Matirx Composites Considering the Thermal Residual Stress and the Non-uniform Distribution of Reinforcements (금속복합재료의 열잔류 응력과 강화재의 불규칙 분산 상태를 고려한 3차원 유한 요소 해석)

  • 강충길;오진건
    • Journal of the Korean Society for Precision Engineering
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    • v.17 no.6
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    • pp.199-209
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    • 2000
  • Particles reinforced MMCs have higher specific modulus, higher specific strength, better properties at elevated temperatures and better wear resistance than monolithic metals. But the coefficient of thermal expansion(CTE) of Al6061 is 5 times larger than that of SiCp. The discrepancy of CTE makes some residual stresses inside of MMCs. This work investigates Si$C_p$/Al6061 composites at high temperatures in the microscopic view by three-dimensional elasto-plastic finite element analyses and compares the analytical results with the experimental ones. The theoretical model is not able to consider the nonuniform shape of particle. So the shape of particle is assumed to be perfect global shape. And also particle distribution is not homogeneous in experimental specimen. It is assumed to be homogeneous in simulation model. The type of particle distribution is face-centered cubic array(FCC array). Furthermore, non-homogeneous distribution is modeled by combination of several volume fractions.

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Evaluation of elastic-plastic behavior in MMC interface according to the reinforced fiber placement structure (강화섬유 배치구조에 따른 MMC계면에서의 탄소성거동 평가)

  • Kang, Ji-Woong;Kim, Sang-Tae;Kwon, Oh-Heon
    • Proceedings of the KSME Conference
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    • 2004.04a
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    • pp.410-414
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    • 2004
  • Under longitudinal loading continuous fiber reinforced metal matrix composite(MMC) have interpreted an outstanding performance. However, the applicability of continuous fiber reinforced MMCs is somewhat limited due to their relatively poor transverse properties. Therefore, the transverse properties of MMCs are significantly influenced by the properties of the fiber/matrix interface. In this study, elastic-plastic behavior of transversely loaded unidirectional fiber reinforced metal matrix composites investigated by using elastic-plastic finite element analysis. Different fiber placement(square and hexagon) and fiber volume fractions were studied numerically. The interface was treated as three thin layer (with different properties) with a finite thickness between the fiber and the matrix. The analyses were based on a two-dimensional generalized plane strain model of a cross-section of an unidirectional composite by the ANSYS finite element analysis code.

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A new Observation Model to Improve the Consistency of EKF-SLAM Algorithm in Large-scale Environments (광범위 환경에서 EKF-SLAM의 일관성 향상을 위한 새로운 관찰모델)

  • Nam, Chang-Joo;Kang, Jae-Hyeon;Doh, Nak-Ju Lett
    • The Journal of Korea Robotics Society
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    • v.7 no.1
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    • pp.29-34
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    • 2012
  • This paper suggests a new observation model for Extended Kalman Filter based Simultaneous Localization and Mapping (EKF-SLAM). Since the EKF framework linearizes non-linear functions around the current estimate, the conventional line model has large linearization errors when a mobile robot locates faraway from its initial position. On the other hand, the model that we propose yields less linearization error with respect to the landmark position and thus suitable in a large-scale environment. To achieve it, we build up a three-dimensional space by adding a virtual axis to the robot's two-dimensional coordinate system and extract a plane by using a detected line on the two-dimensional space and the virtual axis. Since Jacobian matrix with respect to the landmark position has small value, we can estimate the position of landmarks better than the conventional line model. The simulation results verify that the new model yields less linearization errors than the conventional line model.

Analysis of a Queueing System with Two Types of Arrival Patterns (두 종류의 도착형태를 갖는 대기행렬 체계의 분석)

  • Lee, Hwa-Gi;Yun, Eun-Sang
    • Journal of Korean Institute of Industrial Engineers
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    • v.14 no.1
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    • pp.17-30
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    • 1988
  • The aim of this project is to analyze the queueing model with the two types of customers which either can wait unrestrictedly or wait restrictively in the system depending on the condition of service facility unless they may be served immediately. This model consists of the three-dimensional state space and then quasi birth-death process is formulated. The steady-state probabilities and measures of performance of this system are derived by using Matrix Geometric method.

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Fourier Modal Method for Optical Dipole Radiation in Photonic Structures

  • Park, Sungjae;Hahn, Joonku;Kim, Hwi
    • Current Optics and Photonics
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    • v.5 no.6
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    • pp.597-605
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    • 2021
  • An extended Fourier modal method (FMM) for optical dipole radiation in three-dimensional photonic structures is proposed. The core elements of the proposed FMM are the stable bidirectional scattering-matrix algorithm for modeling internal optical emission, and a novel optical-dipole-source model that prevents numerical errors induced by the Gibbs phenomenon. Through the proposed scheme, the FMM is extended to model a wide range of source-embedded photonic structures.

Numerical Simulation of the Elastic Moduli of Cement Paste As a Three Dimensional Unit Cell

  • Park, Ki-Bong
    • Architectural research
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    • v.12 no.2
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    • pp.93-98
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    • 2010
  • This paper describes a numerical method for estimating the elastic moduli of cement paste. The cement paste is modeled as a unit cell which consists of three components: the unhydrated cement grain, the gel, and the capillary pore. In the unit cell, the volume fractions of the constituents are quantified using a single kinetic function calculating the degree of hydration. The elastic moduli of cement paste are calculated from the total displacements of constituents when a uniform pressure is applied to the gel contact area. The cement paste is assumed to be a homogenous isotropic matrix. Numerical simulations were conducted through the finite element analysis of the three-dimensional periodic unit cell. The model predictions are compared with experimental results. The predicted trends are in good agreement with experimental observations. This approach and some of the results might also be relevant for other technical applications.