• 제목/요약/키워드: matrix analysis

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Research on residual stress in SiCf reinforced titanium matrix composites

  • Qu, Haitao;Hou, Hongliang;Zhao, Bing;Lin, Song
    • Steel and Composite Structures
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    • 제17권2호
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    • pp.173-184
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    • 2014
  • This study aimed to theoretical calculate the thermal residual stress in continuous SiC fiber reinforced titanium matrix composites. The analytical solution of residual stress field distribution was obtained by using coaxial cylinder model, and the numerical solution was obtained by using finite element model (FEM). Both of the above models were compared and the thermal residual stress was analyzed in the axial, hoop, radial direction. The results indicated that both the two models were feasible to theoretical calculate the thermal residual stress in continuous SiC fiber reinforced titanium matrix composites, because the deviations between the theoretical calculation results and the test results were less than 8%. In the titanium matrix composites, along with the increment of the SiC fiber volume fraction, the longitudinal property was improved, while the equivalent residual stress was not significantly changed, keeping the intensity around 600 MPa. There was a pronounced reduction of the radial residual stress in the titanium matrix composites when there was carbon coating on the surface of the SiC fiber, because carbon coating could effectively reduce the coefficient of thermal expansion mismatch between the fiber and the titanium matrix, meanwhile, the consumption of carbon coating could protect SiC fibers effectively, so as to ensure the high-performance of the composites. The support of design and optimization of composites was provided though theoretical calculation and analysis of residual stress.

행렬의 명제 문제에 대한 오류 분석 및 교정 지도 방안에 관한 연구 (A Study on Error Analysis and Correction Method in Proof Problems of Matrix)

  • 김혜진;김원경
    • 한국수학교육학회지시리즈A:수학교육
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    • 제49권2호
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    • pp.161-174
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    • 2010
  • The purpose of the study is to analyze various types of errors appeared in true-false proof problems of matrix and to find out correction method. In order to achieve this purpose, error test was conducted to the subject of 87 second grade students who were chosen from D high schoool. It was shown from this test that the most frequent error type was caused by the lack of understanding about concepts and essential facts of matrix(35.3%), and then caused by the invalid logically reasoning (27.4%), and then caused by the misusing conditions(18.7%). Through three hours of correction lessons with 5 students, the following correction teaching method was proposed. First, it is stressed that the operation rules and properties satisfied in real number system can not be applied in matrix. Second, it is taught that the analytical proof method and the reductio ad absurdum method are useful in the proof problem of matrix. Third, it is explained that the counter example of E=$\begin{pmatrix}1\;0\\0\;1 \end{pmatrix}$, -E should be found in proof of the false statement. Fourth, it is taught that the determinant condition should be checked for the existence of the inverse matrix.

Block Matrix Preconditioner와 IE-FFT를 이용한 침투 가능한 구조물의 전자기 산란해석에 관한 연구 (A Study on Electromagnetic Scattering Analysis of Penetrable Objects Using Block Matrix Preconditioner(BMP) and IE-FFT)

  • 강주환
    • 전기전자학회논문지
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    • 제23권2호
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    • pp.614-621
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    • 2019
  • 본 논문은 integral equation-fast Fourier transform(IE-FFT)과 block matrix preconditioner(BMP)를 이용하여 침투 가능한 구조물의 전자기 산란 문제를 다룬다. IE-FFT는 모멘트 법(the method of Moments : MoM)에 의해 형성된 행렬방정식의 해를 계산하기 위하여 반복법의 연산량을 상당히 개선할 수 있다. 또한 전기적으로 커다란 구조물로부터 형성된 행렬방정식에 BMP가 적용된 반복법을 적용하면 반복 횟수를 크게 줄여 행렬방정식의 해를 빠르게 계산할 수 있다. 수치해석 결과는 IE-FFT와 BMP를 적용하여 침투 가능한 구조물의 전자기 산란 문제를 빠르고 정확하게 계산할 수 있음을 보여준다.

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

  • 강주성;안아론;홍도원
    • 정보보호학회논문지
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    • 제18권4호
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    • pp.53-68
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    • 2008
  • 실용적인 프라이버시 보호 기술 중의 하나인 행렬 기반 랜덤화 기법에 대하여 세밀한 분석을 실시한다. 최적의 변환 행렬을 찾기 위한 프라이버시 손상 관점의 요구조건 및 정확성 측도로 제안된 행렬의 조건수 개념과 연관된 파라미터들간의 관계를 이론적으로 규명한다. 행렬 기반의 대표적 알고리즘인 랜덤 대치 기법의 효율적인 구현을 위하여 데이터 재구축 과정에서 필요한 역행렬을 간단히 구하는 공식을 제시하고, 행렬의 노름에 따른 변환 행렬의 조건수와 변환된 분포의 기댓값 및 분산을 계산함으로써 표준오차와 파라미터들 간의 관계식을 도출한다. 또한, 랜덤 대치 기법을 구현하여 다양한 시뮬레이션을 실시함으로써 이론적으로 얻은 결과를 실험적으로 검증한다.

Speaker Adaptation Using ICA-Based Feature Transformation

  • Jung, Ho-Young;Park, Man-Soo;Kim, Hoi-Rin;Hahn, Min-Soo
    • ETRI Journal
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    • 제24권6호
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    • pp.469-472
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    • 2002
  • Speaker adaptation techniques are generally used to reduce speaker differences in speech recognition. In this work, we focus on the features fitted to a linear regression-based speaker adaptation. These are obtained by feature transformation based on independent component analysis (ICA), and the feature transformation matrices are estimated from the training data and adaptation data. Since the adaptation data is not sufficient to reliably estimate the ICA-based feature transformation matrix, it is necessary to adjust the ICA-based feature transformation matrix estimated from a new speaker utterance. To cope with this problem, we propose a smoothing method through a linear interpolation between the speaker-independent (SI) feature transformation matrix and the speaker-dependent (SD) feature transformation matrix. From our experiments, we observed that the proposed method is more effective in the mismatched case. In the mismatched case, the adaptation performance is improved because the smoothed feature transformation matrix makes speaker adaptation using noisy speech more robust.

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공기막 구조물의 형상해석 (Shape Finding Analysis of Pneumatic Structure)

  • 권택진;서삼열;이장복
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1994년도 봄 학술발표회 논문집
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    • pp.57-64
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    • 1994
  • The purpose of this paper is to find minimum surface shape of pneumatic structure using the finite element method. The pneumatic membrane structure is a kind of large deformation problem and very flexible composite material, which mean geomatric nonlinearity. It is not to resist for compression and resultant moment. As the displacement due to internal pressure is getting bigger, it should be considered the direction of forces. It becomes non-linear problem with the non-conservative force. The follower-force depends on the deformation and the direction of force is normal to each element. The solution process is obtained the new stiffness matrix (load correction matrix) depending on deformation through each iterated step. However, the stiffness matrix have not the symmetry and influence on the time of covergence. So in this paper Newton-Rhapson method for solving non-linear problem and for using symmetic matrix, the load direction is changed in each iterated step using the transformation matrix.

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시편 형상에 따른 복합재료의 모재균열 신호특성 (Characteristics of AE Signals of Matrix Cracks in Composites Due to the Different Specimen Shapes)

  • 방형준;박상욱;김천곤;홍창선
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2002년도 춘계학술발표대회 논문집
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    • pp.39-43
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    • 2002
  • As the concept of the smart structure, monitoring of acoustic emission (AE) can be applied to inspect the fracture of the entire structure in operating condition using built-in sensors. The objective of this study is to find the characteristics of matrix crack signals in composites due to the different specimen shapes. To detect matrix crack signals, we performed tensile tests by changing the thickness, width and length of the specimen. For the quantitative evaluation, time frequency analysis such as short-time Fourier transform (STFT) was used to characterize the matrix crack signals from PZT sensor. The experimental result shows the distinctive signal features in frequency domain due to the different specimen shapes.

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Sintering Phenomena and Thermodynamic Analysis in the SiC Whisker-Reinforced Mullite Matrix Ceramic Composites During RF Plasma Sintering

  • Park, Youngsoo;:Michael J. MeNallan
    • The Korean Journal of Ceramics
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    • 제2권4호
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    • pp.231-237
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    • 1996
  • Mullite ceramics can be sintered by rf plasma sintering to densities as high as 97% compared to the theoretical density of the mullite, while SiC whisker-reinforced mullite matrix ceramic composites were not sintered by plasma sintering. Decomposition of mullite occurs in a superficial regins at the outside surface of the specimen by volatilization of SiO at elevated temperature by plasma. SiC whiskers were destroyed, and the matrix was converted to alumina from SiC-whisker reinforced mullite matrix ceramic composites during the plasma sintering. Accelerated volatilization from the SiC whisker in the mullite prevents sintering. The volatile species are mainly SiC and CO gas species. The effects of plasma on mullite and SiC-whisker reinforced mullite matrix composites are interpreted by thermodynamic simulation of the volatile species in the plasma environment. The thermodynamic results show that the decomposition will not occur during hot pressing.

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주거밀도모형을 이용한 환경영향분석과 수용능력 산출 (Environmental Impact and Allowable Density Using the Rural Residential Density Matrix)

  • 김명진
    • 환경영향평가
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    • 제12권3호
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    • pp.151-160
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    • 2003
  • Analysis of carrying capacity and site suitability by the systematic application of environmental information an provide a basis for implementing environmentally sensitive and sustainable resource development policies. Based on the availability of public services and environmental and site-specific constraints, a Rural Residential Density Matrix was applied in Santa Cruz County, California, USA to assess the development potential of rural land parcels since 1980. In one case, the Matrix was applied to calculate the allowable development density on a site in Lompico planned for use as a Buddhist retreat center. These calculations revealed higher environmental sensitivity and lower carrying capacity than projected in the proposed plan. Under the constraints of the county's minimum acreage policies and insufficient developable land, the developer cancelled the proposed plan. This example suggests that application of the Matrix at the concept development stage would increase the effectiveness of the prior environmental review and environmental impact assessment (EIA) system in Korea.

Fiber-Matrix Interface Characterization through the Microbond Test

  • Sockalingam, Subramani;Nilakantan, Gaurav
    • International Journal of Aeronautical and Space Sciences
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    • 제13권3호
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    • pp.282-295
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    • 2012
  • Fiber reinforced polymer matrix composites are widely used to provide protection against ballistic impact and blast events. There are several factors that govern the structural response and mechanical properties of a textile composite structure, of which the fiber-matrix interfacial behavior is a crucial determinant. This paper reviews the microbond or microdroplet test methodology that is used to characterize the fiber-matrix interfacial behavior, particularly the interface shear strength (IFSS). The various analytical, experimental, and numerical approaches applied to the microbond test are reviewed in detail.