• Title/Summary/Keyword: Coefficient Matrix

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Optimal sensor placement for bridge damage detection using deflection influence line

  • Liu, Chengyin;Teng, Jun;Peng, Zhen
    • Smart Structures and Systems
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    • v.25 no.2
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    • pp.169-181
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    • 2020
  • Sensor placement is a crucial aspect of bridge health monitoring (BHM) dedicated to accurately estimate and locate structural damages. In addressing this goal, a sensor placement framework based on the deflection influence line (DIL) analysis is here proposed, for the optimal design of damage detection-oriented BHM system. In order to improve damage detection accuracy, we explore the change of global stiffness matrix, damage coefficient matrix and DIL vector caused by structural damage, and thus develop a novel sensor placement framework based on the Fisher information matrix. Our approach seeks to determine the contribution of each sensing node to damage detection, and adopts a distance correction coefficient to eliminate the information redundancy among sensors. The proposed damage detection-oriented optimal sensor placement (OSP) method is verified by two examples: (1) a numerically simulated three-span continuous beam, and (2) the Pinghu bridge which has existing real damage conditions. These two examples verify the performance of the distance corrected damage sensitivity of influence line (DSIL) method in significantly higher contribution to damage detection and lower information redundancy, and demonstrate the proposed OSP framework can be potentially employed in BHM practices.

Fabrication and characterization of Copper/Silicon Nitride composites

  • Ahmed, Mahmoud A.;Daoush, Walid M.;El-Nikhaily, Ahmed E.
    • Advances in materials Research
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    • v.5 no.3
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    • pp.131-140
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    • 2016
  • Copper/silicon nitride ($Cu/Si_3N_4$) composites are fabricated by powder technology process. Copper is used as metal matrix and very fine $Si_3N_4$ particles (less than 1 micron) as reinforcement material. The investigated powder were used to prepare homogenous ($Cu/Si_3N_4$) composite mixtures with different $Si_3N_4$ weight percentage (2, 4, 6, 8 and10). The produced mixtures were cold pressed and sintered at different temperatures (850, 950, 1000, $1050^{\circ}C$). The microstructure and the chemical composition of the produced $Cu/Si_3N_4$ composites were investigated by (SEM) and XRD. It was observed that the $Si_3N_4$ particles were homogeneously distributed in the Cu matrix. The density, electrical conductivity and coefficient of thermal expansion of the produced $Cu/Si_3N_4$ composites were measured. The relative green density, sintered density, electrical conductivity as well as coefficient of thermal expansion were decreased by increasing the reinforcement phase ($Si_3N_4$) content in the copper matrix. It is also founded that the sintered density and electrical conductivity of the $Cu/Si_3N_4$ composites were increased by increase the sintering temperature.

Pharmaceutical Studies on Chitosan Matrix: Controlled release of aspirin from chitosan device

  • Lee, Chi-Young;Kim, Sung-Ho
    • Archives of Pharmacal Research
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    • v.10 no.2
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    • pp.88-93
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    • 1987
  • Chitosan ($\beta$-D-glucosaminan) is chemically prepared from chitin (N-acetyl-$\beta$- D-glucosaminan) which is an unutilized natural resource. We now report on the suitability of the chitosan matrix for use as vehicles for the controlled release of drugs. Salicylic acid and aspirin were used as model drugs in this study. The permeation of salicylic acid in the chitosan membranes was determined in a glass diffusion cell with two compartments of equal volume. Drug release studies on the devices were conducted in a beaker containing 5% sodium hydroxide solution. Partition coefficient (Kd) value for acetate membrane (472) is much greater than that for fluoro-perchlorate chitosan membrane (282). Higher Kd value for acetate chitosan membrane appears to be inconsisstent with the bulk salicylic acid concentration. The permeability constants of fluoro-perchlorate and acetate chisotan membranes for salicylic acid were 3.139 ${\times}10^{-7}cm^2$ min up to 60 min and that of 30% aspirin in the devices was 4.739${\times}10^{-7}cm^2$sec upto 60 min. As the loading dose of aspirin in a chitosan device increased, water up-take of chitosan device increased, but in case of salicylic acid it decreased. The release rate increased with increase in the molecular volume of the drugs. Thses result suggest that the release mechanism may be controlled mainly by diffusion through pores.

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A Study on the Acoustic Properties of Porous Material by Using Acoustic Transfer Matrix (전달행렬법에 의한 다공질 흡음재의 음향특성 연구)

  • 박철희;주재만;염창훈
    • Journal of KSNVE
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    • v.6 no.5
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    • pp.635-644
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    • 1996
  • In this paper, Allard's modelling method which employs the method of acoustic transfer matrix(ATM) is applied to yield more precise results in the analysis of porous sound absorbing material. The method of ATM, based on Biot's theory, is known to play an important role in the estimation of the sound absorption when a sound projects onto the material. In the case of a single layered porous sound absorbing material, the surface impedance and the absorption coefficient by using the method of ATM are estimated. With the variation of the material properties, sound absorption characteristics and analyzed. Transmission Loss in a combination of the porous sound absorbing material with a thin plate is predicted.

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Multi-crack Detection of Beam Using the Change of Dynamic Characteristics (동특성 변화를 이용하여 보의 다중 균열 위치 및 크기 해석)

  • Kim, Jung Ho;Lee, Jung Woo;Lee, Jung Youn
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.25 no.11
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    • pp.731-738
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    • 2015
  • This study proposed the method of the multi-crack detection using the sensitivity coefficient matrix which is calculated from the change of eigenvalues and eigenvectors before and after the crack. Each crack is modeled by a rotational springs. The method is applied to the cantilever beam with miulti-crack. The eigenvalues and eigenvectors are determined for different crack locations and depths. The prediction of multi-crack detection are in good agreement with the results of structural reanalysis.

Analysis of a Nonlinear Integrated-Mirror Etalon by the Characteristic Matrix Method (특성행렬을 이용한 비선형 집적거울 Etalon의 해석)

  • 김덕봉
    • Korean Journal of Optics and Photonics
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    • v.4 no.3
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    • pp.317-322
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    • 1993
  • In this paper we propose a method to analyze the nonlinear behavior of an integrated-mirror etalon by the characteristic matrix method. If the dependence of the refractive index and the absorption coefficient upon the light intensity are known, we can couple this with an equation by which we can evaluate the light intensity distribution inside an etalon for the given values of the refractive index and the absorption coefficient. By solving these coupled equations by the iteration method, we evaluate the transmission characteristics of a nonlinear integrated-mirror etalon. By the characteristic matrix method, we have demonstrated the static and dynamic bistable behavior of a nonlinear integrated-mirror etalon.

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A METHOD FOR SOLVING OF LINEAR SYSTEM WITH NORMAL COEFFICIENT MATRICES

  • KAMALVAND, M.GHASEMI;FARAZMANDNIA, B.;ALIYARI, M.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.24 no.3
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    • pp.305-320
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    • 2020
  • This study aims to generalize MINRES-N2 method [1]. It means that we tend to obtain an algorithm to transfer each normal matrix - that its eigenvalues belong to an algebraic curve of low degree k- to its condensed form through using a unitary similarity transformation. Then, we aim to obtain a method to solve a system of linear equations that its coefficient matrix is equal to such a matrix by utilizing it. Finally this method is compared to the well-known GMRES method through using numerical examples. The results obtained through examples show that the given method is more efficient than GMRES.

A Study on the Evolution of Local Plasticity and the Bauschinger Effects in Short Fiber Reinforced Metal Matrix Composites (단섬유 금속복합체에서의 소성역 전개과정 및 바우신저 효과에 관한 연구)

    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.7 no.1
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    • pp.22-33
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    • 1998
  • A continuum analysis of the evolution of plasticity and Bauschinger effect in a short fiber reinforced metal matrix composite, based on the FEM solution for a single fiber model has been performed to investigate the strengthening behavior. The evolution of matrix field quantities during one cycle of fully reversed loading have been examined in detail. The results indicate that the role of constrained matrix flow in generating different levels of matrix triaxiality during forward and reversed loading provides an important contribution to the developement of the Bauschinger effect in the metal matrix composite. Therefore, even when the plastic flow of the matrix material follows on isotropic hardening behavior, the Bauschinger effect is predicted for the composite material.

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Development of the Software for Analysis and Improvement of the Performance of a Passanger Car's Muffler (승용차용 소음기의 성능 해석 소프트웨어 개발 및 향상에 관한 연구)

  • 오재응;이규택;이재철
    • Transactions of the Korean Society of Automotive Engineers
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    • v.4 no.6
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    • pp.133-143
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    • 1996
  • The need of comfortable car and the efforts to overcoming the noise regulations on passenger cars bring about a series of studies on the ruduction of exhaust noises. In this study, acoustic characteristics of various components that compose mufflers of automobiles were analyzed theoretically, and the program which predicts the performance of mufflers was developed by the transfer matrix approach. The simulations were verified by the experiments on a real muffler. By using the developed simulation program, we investigate the effects of each component on the entire muffler system and the energy loss coefficient on absorption materials in the front muffler. Finally, we proposed two designs to improve the performance of a muffler and verified the improved performance by the experiments and simulations.

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Wear characteristics on particle volume fraction of nano silica composite materials (입자 함유율의 변화에 따른 나노 실리카 복합재료의 마모 특성)

  • Lee, Jung-Kyu;Koh, Sung Wi
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.49 no.4
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    • pp.492-499
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    • 2013
  • The characteristics of abrasive wear of the rubber matrix composites filled with nano sized silica particles were investigated at ambient temperature by pin-on-disc friction test. The range of volume fraction of silica particles tested are between 11% to 25%. The cumulative wear volume and friction coefficient of these materials on particle volume fraction were determined experimentally. The major failure mechanisms were lapping layers, deformation of matrix, ploughing, deboding of particles and microcracking by scanning electric microscopy photograph of the tested surface. The cumulative wear volume showed a tendency to increase nonlinear with increase of sliding distance. As increasing the silica particles of these composites indicated higher friction coefficient.