• 제목/요약/키워드: normal mode expansion

검색결과 18건 처리시간 0.029초

Guided wave field calculation in anisotropic layered structures using normal mode expansion method

  • Li, Lingfang;Mei, Hanfei;Haider, Mohammad Faisal;Rizos, Dimitris;Xia, Yong;Giurgiutiu, Victor
    • Smart Structures and Systems
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    • 제26권2호
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    • pp.157-174
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    • 2020
  • The guided wave technique is commonly used in structural health monitoring as the guided waves can propagate far in the structures without much energy loss. The guided waves are conventionally generated by the surface-mounted piezoelectric wafer active sensor (PWAS). However, there is still lack of understanding of the wave propagation in layered structures, especially in structures made of anisotropic materials such as carbon fiber reinforced polymer (CFRP) composites. In this paper, the Rayleigh-Lamb wave strain tuning curves in a PWAS-mounted unidirectional CFRP plate are analytically derived using the normal mode expansion (NME) method. The excitation frequency spectrum is then multiplied by the tuning curves to calculate the frequency response spectrum. The corresponding time domain responses are obtained through the inverse Fourier transform. The theoretical calculations are validated through finite element analysis and an experimental study. The PWAS responses under the free, debonded and bonded CFRP conditions are investigated and compared. The results demonstrate that the amplitude and travelling time of wave packet can be used to evaluate the CFRP bonding conditions. The method can work on a baseline-free manner.

양생조건이 경량골재 콘크리트의 ASR에 미치는 영향 (Effect of Curing Conditions on the ASR of Lightweight Aggregate Concrete)

  • 성찬용;김성완;민정기
    • 한국농공학회지
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    • 제35권4호
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    • pp.38-46
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    • 1993
  • This study is to analyze effect of exposure environment and mode of ASR on the engineering properties of synthetic lightweight aggregate concrete, such as dynamic modulus of elasticity and ultrasonic pulse velocity. The results of this study are summarized as foflows ; 1. The expansion rate of each exposure environment in 380$^{\circ}$C and NaCI 4% solution was shown higher than in 20$^{\circ}$C and normal water. The expansion rate of each exposure mode was largely shown in order of fjill immersion, wetting/drying, half immersion. 2. The dynamic modulus of elasticty and ultrasonic pulse velocity of each exposure environment in 38$^{\circ}$C and NaCl 4% solution was shown less than in 20$^{\circ}$C and normal water. The dynamic modulus of elasticity and ultrasonic pulse velocity of each exposure mode was shown smaller in order of full immersion, wetting/drying, half imersion.3. The relation between dynamic modulus of elasticity and ultrasonic pulse velocity was highly significant. The dynamic modulus of elasticity was increased with increase of ultrasonic pulse velocity. The decreasing rate of the dynamic modulus of elasticity was shown 2.1~3.4 times higher than the ultrasonic pulse velocity at each age, exposure environment and mode, respectively. 4. The expansion of each exposure environment and mode was increased with increase of curing age. The dynamic modulus of elasticity and ultrasonic pulse velocity of those concrete was increased with increase of curing age. At the curing age 28 days, the highest properties was showed at each type concrete, it was gradually decreased with increase of curing age. Specially, at the curing age 98 days of full immersion, the rate of expansion of type D was shown 3.95 times higher than the type A. But the dynamic modulus of elasticity and ultrasonic pulse velocity was decreased 17% and 8.3%.

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Analysis of the Propagation Characteristics of Ultrasonic Guided Waves Excited by Single Frequency and Broadband Sources

  • Kang, To;Song, Sung-Jin;Kim, Hak-Joon;Cho, Young-Do;Lee, Dong-Hoon;Cho, Hyun-Joon
    • 비파괴검사학회지
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    • 제29권6호
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    • pp.570-578
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    • 2009
  • Excitation and propagation of guided waves are very complex problems in pipes due to their dispersive nature. Pipes are commonly used in the oil, chemical or nuclear industry and hence must be inspected regularly to ensure continued safe operation. The normal mode expansion(NME) method is given for the amplitude with which any propagating waveguide mode is generated in the pipes by applied surface tractions. Numerical results are calculated based on the NME method using different sources, i.e., non-axisymmetric partial loading and quasi-axisymmetric loading sources. The sum of amplitude coefficients for 0~nineth order of the harmonic modes are calculated based on the NME method and the dispersion curves in pipes. The superimposed total field which is namely the angular profile, varies with propagating distance and circumferential angle. This angular profile of guided waves provides information for setting the transducer position to find defects in pipes.

2축하중을 받는 직교이방성체내 경사균열진전의 해석 (Analysis of Inclined Crack Extension in Orthotropic Solids Under Biaxial Loading)

  • 임원균;최승룡
    • 대한기계학회논문집A
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    • 제26권6호
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    • pp.993-1000
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    • 2002
  • The objective of this work is to develop the capability to analyze accurately the mixed-mode propagation of a crack in composite structures with elastic orthotropic material stiffness properties and anisotropic material strength characteristics. In order to develop the capability to fully analyze fracture growth and failure in anisotropic structures, we examined the fundamental problem of mixed mode fracture by carrying out the analysis on orthotropic materials with an inclined crack subject to biaxial loading. Our goal here is to include an additional term in the asymptotic expansion of the crack tip stress field and to show that the direction of crack initiation can be significantly affected by that term. We employ the normal stress ratio theory to predict the direction of crack extension. It is shown that the angle of crack extension can be altered by horizontal loads and the use of second order term in the series expansion is important f3r the accurate determination of crack growth direction.

위상배열 유도초음파 검사의 이론적 고찰 (The Theoretical Investigation of Phased Array Guided Waves)

  • 이재선;조윤호
    • 비파괴검사학회지
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    • 제31권4호
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    • pp.367-373
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    • 2011
  • 유도초음파를 활용한 진단 기술은 기존의 체적파를 이용한 진단 기법과 달리 장거리 진단의 장점 때문에 널리 사용된다. 대부분의 산업현장에서는 배관이 코팅되어 있거나 땅속이 묻혀있다. 이러한 경우 감쇠의 영향으로 기존의 방식으로는 진단에 어려움이 있다. 본 연구에서는 배관에서 전파되는 유도초음파 전파 모드별 음장을 직교모드확장기법을 이용하여 계산하였다. 단일 탐촉자에 의해 전파되는 유도초음파의 음장과 다중 탐촉자 모델링을 바탕으로 배관에서 전파되는 음장 특성을 해석하기 위해 유도초음파 모드별 집속 기술이 사용되었다. 추가적으로 배관에서 전파되는 유도초음파를 가진하는 탐촉자의 개수에 따른 집속 민감도가 종형 모드와 휨형 모드를 이용하여 계산되었다. 본 연구를 통하여 단일 탐촉자에 의해 가진된 유도초음파와 집속 알고리즘을 적용한 다중 탐촉자에 의해 가진된 음장을 비교하여 높은 에너지가 접속 되는 것을 확인 하였다.

하이드로포밍 엔진 서브프레임의 동특성 개선 (Improvement on dynamic characteristics of hydroformed Engine Cradle with FEA)

  • 진경수;김효섭;김윤규;나상묵
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2007년도 추계학술대회논문집
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    • pp.397-402
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    • 2007
  • Application of hydroforming technology for Engine Cradle has done much to reduce the weight of it. In most cases, hydroformed member of Engine Cradle is made in one-piece. And this method cause a limeted design that amount of expansion at the center portion of the member is not enough to meet the required performance. This limited design leads to decrease the dynamic characteristics of Engine Cradle. In this paper, comparative analyses of conventional stamped engine cradle and hydroformed cradle of one-piece were conducted using Normal Mode analysis and FRF(Frequancy Response Function)analysis. Finally, to improve the disadvantage mentioned above, hydroformed member of 3-pieces was proposed.

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Update the finite element model of Canton Tower based on direct matrix updating with incomplete modal data

  • Lei, Y.;Wang, H.F.;Shen, W.A.
    • Smart Structures and Systems
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    • 제10권4_5호
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    • pp.471-483
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    • 2012
  • In this paper, the structural health monitoring (SHM) benchmark problem of the Canton tower is studied. Based on the field monitoring data from the 20 accelerometers deployed on the tower, some modal frequencies and mode shapes at measured degrees of freedom of the tower are identified. Then, these identified incomplete modal data are used to update the reduced finite element (FE) model of the tower by a novel algorithm. The proposed algorithm avoids the problem of subjective selection of updated parameters and directly updates model stiffness matrix without model reduction or modal expansion approach. Only the eigenvalues and eigenvectors of the normal finite element models corresponding to the measured modes are needed in the computation procedures. The updated model not only possesses the measured modal frequencies and mode shapes but also preserves the modal frequencies and modes shapes in their normal values for the unobserved modes. Updating results including the natural frequencies and mode shapes are compared with the experimental ones to evaluate the proposed algorithm. Also, dynamic responses estimated from the updated FE model using remote senor locations are compared with the measurement ones to validate the convergence of the updated model.

High Dispersion Spectra of the Young Planetary Nebula NGC 7027

  • Hyung, Siek;Lee, Seong-Jae;Bok, Jang-Hee
    • 한국지구과학회지
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    • 제36권5호
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    • pp.419-426
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    • 2015
  • We investigated the high dispersion spectra that had been secured at the center of the planetary nebula NGC 7027 with the Bohyunsan Optical Echelle Spectrograph (BOES) on October, 20, 2009. We analyzed the forbidden lines of [OI], [SII], [OII], [NII], [ClIII], [ArIII], [OIII], [ArIV], [NeIII], [ArV], and [CaV] in the $3770-9225{\AA}$ wavelength region. The expansion velocities were derived from double Gaussian line profiles of the emission lines, after eliminating the subsidiary line broadening effects. The radial variations of the expansion velocities were obtained by projecting the derived expansion velocities: $19.56-31.93kms^{-1}$ onto the equatorial shell elements of the inner and the outer boundaries of the main shell of 2.5(2.1)" and 3.8(3.6)", according to the ionization potential of each ion. Analysis of equatorial shell spectra indicated that the equatorial shell generally expands in an accelerated velocity mode, but the expansion pattern deviates from a linear velocity growth with radial distance. NGC 7027, of which age is about 1000 years or less, might be still at its early stage. During the first few hundred years, plausibly in its early stage, the main shell of PN expands very slowly and, later, it gradually gain its normal expansion speed.

응력파동해석에 대한 전산역학적 접근방법 (Approaches of the Computaional Mechanics on the Stress Wave Analysis)

  • 조윤호;정현규;김승호
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2002년도 봄 학술발표회 논문집
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    • pp.415-429
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    • 2002
  • Various modeling techniques for ultrasonic wave propagation and scattering problems in finite solid media are presented. Elastodynamic boundary value problems in inhomogeneous multi-layered plate-like structures are set up for modal analysis of guided wave propagation and numerically solved to obtain dispersion curves which show propagation characteristics of guided waves. As a powerful modeling tool to overcome such numerical difficulties in wave scattering problems as the geometrical complexity and mode conversion, the Boundary Element Method(BEM) is introduced and is combined with the normal mode expansion technique to develop the hybrid BEM, an efficient technique for modeling multi-mode conversion of guided wave scattering problems.

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균열을 내포하는 직방성재료의 해석 (Analysis of Orthotropic Materials with Crack)

  • 임원균
    • 대한안전경영과학회:학술대회논문집
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    • 대한안전경영과학회 2001년도 춘계학술대회
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    • pp.179-184
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    • 2001
  • The objective of this work is to develop the capability to analyze accurately the mixed-mode propagation of a crack in composite structures with elastic orthotropic material stiffness properties and anisotropic material strength characteristics. We employ the normal stress ratio theory to predict the direction of crack extension. It is shown that the angle of crack extension can be altered by the use of second order term in the series expansion is important for the accurate determination of crack growth direction.

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