• 제목/요약/키워드: linear expansion

검색결과 524건 처리시간 0.021초

Pade근사를 이용한 준해석 구조 민감도의 해석 (The Semi-Analytic Structural Sensitivity Using Pade Approximation)

  • 단호진;이병채
    • 대한기계학회논문집A
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    • 제26권12호
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    • pp.2631-2635
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    • 2002
  • The semi-analytic sensitivity analysis using Pade approximation is presented for linear elastic structures. Although the semi-analytic method has several advantages, accuracy of the method prevents it from practical application. One of promising remedies is the use of geometric series for the matrix inversion. Though series expansion of order three has been successfully applied to the calculation of the structural sensitivity in the most range of the design perturbation, it is prone to have a slow convergence for large perturbation. To overcome this shortage, Pade approximation is introduced so that it can broaden the trust region of the perturbation without adding expansion terms. Numerical results show that the confident sensitivity can be obtained with tiny expenses of computation effort.

호흡운동에 의한 MRI 아티팩트의 수정 (Correction of MRI Artifact due to Planar Respiratory Motion)

  • 김응규;김규헌
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2003년도 하계종합학술대회 논문집 Ⅳ
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    • pp.1863-1866
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    • 2003
  • In this study, respiratory motion is modeled by a 2-Dimensional linear expanding-shrinking movement. According to the introduced model, respiratory motion imposes phase error, non-uniform sampling and amplitude modulation distortions on the acquired MRI data. When the motion parameters are known or can be estimated, a reconstruction algorithm based on superposition method was used to removed the MRI artifact. For the purpose of estimating unknown motion parameters, we applied the spectrum shift method to find the respiratory fluctuation function, the x directional expansion coefficient and its center, and also we used the minimum energy method to find the y directional expansion coefficient and its center. The effectiveness of this presented method is shown by Computer simulations.

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Radiation Characteristics of Finite Strip-Grating Loaded Dielectric-Coated Coaxial Waveguide with Finite Periodic Thick Slots

  • Kim, Joong-Pyo;Lee, Chang-Won
    • Journal of electromagnetic engineering and science
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    • 제1권2호
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    • pp.161-165
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    • 2001
  • The radiation characteristics of leaky wave emanated from finite strip-grating loaded dielectric coated coaxial waveguide with finite periodic thick slots are investigated theoretically. The rigorous integral equations are derived for the proposed structure using the courier transform, mode expansion, and sine series expansion of the electric current on metallic strips, and the simultaneous linear equations are obtained. The effects of finite strip-grating loading on a dielectric-coated coaxial waveguide with finite periodic thick slots are examined in terms of radiation characteristics.

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항만내 계류선박의 수평운동 해석 (On the Surge Motion of a Ship in Rectangular Harbor)

  • 최항순;조일형
    • 한국해안해양공학회지
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    • 제1권1호
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    • pp.81-86
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    • 1989
  • 본 논문에서는 선형포텐셜 이론을 이용하여 항만에 계류된 선박의 운동해석을 수행하였다. 해양에서 입사되는 장파의 진동수와 항만의 고유진동수가 일치될 때 항만공진이 발생하며, 항만공진은 선박의 운동을 크게 야기시킨다. 해석 방법으로는 정합점근전개법 (Matched Asymptotic Expansion)을 사용하였다. 이 방법을 적용하기 위하여 선박은 세장선으로 가정하였고, 항만입구의 폭이 좁은 직사각형 항만을 계산 모델로 삼았다. 대칭운동(Surge, Heave, Pitch)에 대하여 수치계산을 수행한 결과 항만내의 위치에 따라 야기되는 선박운동모드가 크게 차이남을 밝혔다.

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Analytical approximate solutions for large post-buckling response of a hygrothermal beam

  • Yu, Yongping;Sun, Youhong
    • Structural Engineering and Mechanics
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    • 제43권2호
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    • pp.211-223
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    • 2012
  • This paper deals with large deformation post-buckling of a linear-elastic and hygrothermal beam with axially nonmovable pinned-pinned ends and subjected to a significant increase in swelling by an alternative method. Analytical approximate solutions for the geometrically nonlinear problem are presented. The solution for the limiting case of a string is also obtained. By coupling of the well-known Maclaurin series expansion and orthogonal Chebyshev polynomials, the governing differential equation with sinusoidal nonlinearity can be reduced to form a cubic-nonlinear equation, and supplementary condition with cosinoidal nonlinearity can also be simplified to be a polynomial integral equation. Analytical approximations to the resulting boundary condition problem are established by combining the Newton's method with the method of harmonic balance. Two approximate formulae for load along axis, potential strain for free hygrothermal expansion and periodic solution are established for small as well as large angle of rotation at the end of the beam. Illustrative examples are selected and compared to "reference" solution obtained by the shooting method to substantiate the accuracy and correctness of the approximate analytical approach.

Construction and Application of Experimental Formula for Nonlinear Behavior of Ferroelectric Ceramics Switched by Electric Field at Room Temperature during Temperature Rise

  • Ji, Dae Won;Kim, Sang-Joo
    • 한국세라믹학회지
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    • 제55권1호
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    • pp.67-73
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    • 2018
  • A poled lead zirconate titanate (PZT) cube specimen that is switched by an electric field at room temperature is subject to temperature increase. Changes in polarization and thermal expansion coefficients are measured during temperature rise. The measured data are analyzed to obtain changes in pyroelectric coefficient and strain during temperature change. Empirical formulae are developed using linear or quadratic curve fitting to the data. The nonlinear behavior of the materials during temperature increase is predicted using the developed formulae. It is shown that the calculation results can be compared successfully with the measured values, which proves the accuracy and reliability of the developed formulae for the nonlinear behavior of the materials during temperature changes.

국내산 1성분계 실링재의 기초적 특성 분석에 관한 연구 (A Study on the Fundamental Properties of Single-Component Sealant in Domestic Production)

  • 신세준;최윤호;이영준;현승용;한민철;한천구
    • 한국건축시공학회:학술대회논문집
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    • 한국건축시공학회 2019년도 춘계 학술논문 발표대회
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    • pp.188-189
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    • 2019
  • In this study, the characteristics of single-component and other sealant were analyzed to provide repair methods and effective utilization of sealant due to crack generation. Humidity studies have shown that acrylic silicone is effective in many areas of fluidity and temperature change, and that polysulfide-silicon is most effective in resistance to linear expansion coefficient and external pressure. Therefore, the difference between drying shrinkage and thermal expansion coefficient between various building materials and sealant, as well as the use of sealant, is analyzed, and construction methods derived accordingly, and prevention of defects are considered to be part of the construction project.

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호흡운동에 따른 MRI 아티팩트 수정 (MRI Artifact Correction due to Respiratory Motion)

  • 김응규;김규헌
    • 융합신호처리학회 학술대회논문집
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    • 한국신호처리시스템학회 2003년도 하계학술대회 논문집
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    • pp.58-61
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    • 2003
  • In this study, a planar respiratory motion is modeled by a 2-D linear expanding-shrinking movement. According to the introduced model, respiratory motion imposes phase error, non-uniform sampling and amplitude modulation distortions on the acquired MRI data. When the motion parameters are known or can be estimated, a construction algorithm based on superposition method was used to remove the MRI artifact. For the purpose of estimating unknown motion parameters, we used the spectrum shift method to find the respiratory fluctuation function, the x directional expansion coefficient and its center, and we also used the minimum energy method to find the y directional expansion coefficient and its center. Finally the effectiveness of this presented method is shown by computer simulations.

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변분근사식과 연계된 산란체법에 의한 파랑변형 계산 (Computation of Wave Propagation by Scatter Method Associated with Variational Approximation)

  • 서승남
    • 한국해안·해양공학회논문집
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    • 제20권6호
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    • pp.553-563
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    • 2008
  • 만일 임의의 지형을 다수의 계단으로 근사하면 이 지형 위를 지나는 선형 파랑의 변형을 계산하기 위해 변분근사법과 고유함수 전개법을 사용할 수 있다. 본 논문에서는 반사율과 투과율을 계산하기 위해 변분근사식과 연계된 산란체법을 제시하였다. 본 기법은 O'Hare and Davies의 변환행렬 축차법보다 간단하고 직접적인 방법임을 보였다. 또한 수 개의 수치실험을 실시하여 기존 결과와 거의 같은 결과를 얻었다.

Frame Multiresolution Analysis

  • Kim, Hong-Oh;Lim, Jae-Kun
    • 대한수학회논문집
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    • 제15권2호
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    • pp.285-308
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    • 2000
  • We generalize bi-orthogonal (non-orthogona) MRA to frame MRA in which the family of integer translates of a scaling func-tion forms a frame for the initial ladder space V0. We investigate the internal structure of frame MRA and establish the existence of a dual scaling function, and show that, unlike bi-orthogonal MRA, there ex-ists a frame MRA that has no (frame) 'wavelet'. Then we prove the existence of a dual wavelet under the assumption of the existence of a wavelet and present easy sufficient conditions for the existence of a wavelet. Finally we give a new proof of an equivalent condition for the translates of a function in L2(R) to be a frame of its closed linear span.

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