• 제목/요약/키워드: element inverse

검색결과 359건 처리시간 0.022초

Identification of impact forces on composite structures using an inverse approach

  • Hu, Ning;Matsumoto, Satoshi;Nishi, Ryu;Fukunaga, Hisao
    • Structural Engineering and Mechanics
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    • 제27권4호
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    • pp.409-424
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    • 2007
  • In this paper, an identification method of impact force is proposed for composite structures. In this method, the relation between force histories and strain responses is first formulated. The transfer matrix, which relates the strain responses of sensors and impact force information, is constructed from the finite element method (FEM). Based on this relation, an optimization model to minimize the difference between the measured strain responses and numerically evaluated strain responses is built up to obtain the impact force history. The identification of force history is performed by a modified least-squares method that imposes the penalty on the first-order derivative of the force history. Moreover, from the relation of strain responses and force history, an error vector indicating the force location is defined and used for the force location identification. The above theory has also been extended into the cases when using acceleration information instead of strain information. The validity of the present method has been verified through two experimental examples. The obtained results demonstrate that the present approach works very well, even when the internal damages in composites happen due to impact events. Moreover, this method can be used for the real-time health monitoring of composite structures.

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.

CFRP 모델링 기법에 따른 CFRP-Al합금 SPR 접합공정의 수치해석 정확도 분석 (Analysis of the Numerical Simulation Accuracy in the CFRP-Al Alloy SPR Joint Process According to the CFRP Modeling Method)

  • 김성호;박남수;송정한;노우람;박근영;배기현
    • 소성∙가공
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    • 제29권5호
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    • pp.265-271
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    • 2020
  • The purpose of this paper is to analyze the numerical simulation accuracy according to the CFRP modeling method in the CFRP-Al alloy SPR (Self-Piercing Rivet) joint process. The mechanical properties of the CFRP, aluminum sheet are precisely obtained from the tensile test according to the loading direction. Additionally, the hardening curve of rivet was calculated from the inverse analysis of the machined rivet-ring compression test. For the CFRP-Al alloy SPR simulation, two kinds of the CFRP modeling methods were established based on the continuum and layer-by-layer approaches. The simulation results showed that the CFRP layer-by-layer modeling method can provide more reliable prediction shape of the fractured sheets and deformed rivet. This simulation technique can be used in evaluating the CFRP-Metal SPR performance and designing the SPR process conditions.

시스템 동정을 통한 구조물의 결함 탐지 (Structural Damage Detection through System Identification)

  • 고봉환
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2006년도 춘계학술대회논문집
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    • pp.1223-1228
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    • 2006
  • This paper presents an experimental investigation of a recently developed Kronecker Product (KP) method to determine the type, location, and intensity of structural damage from an identified state-space model of the system. Although this inverse problem appears to be highly nonlinear, the system mass, stiffness, and damping matrices are identified through a series of transformations, and with the aid of the Kronecker product, only linear operations are involved in the process. Since a state-space model can be identified directly from input-output data, an initial finite element model and/or model updating are not required. The test structure is a two-degree-of-freedom torsional system in which mass and stiffness are arbitrarily adjustable to simulate various conditions of structural damage. This simple apparatus demonstrates the capability of the damage detection method by not only identifying the location and the extent of the damage, but also differentiating the nature of the damage. The potential applicability of the KP method for structural damage identification is confirmed by laboratory test.

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큰 가로세로비를 가지는 날개의 대변형 효과를 고려한 비선형 정적 공탄성 해석 (Nonlinear Static Aeroelastic Analysis of a High-Aspect-Ratio Wing with Large Deflection Effects)

  • 유재한;이인;임인규
    • 한국항공우주학회지
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    • 제34권3호
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    • pp.31-36
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    • 2006
  • 본 연구에서는 천음속미소교란 및 대변형 보 이론을 이용하여 대변형이 발생되는 가로세로비가 큰 날개의 비선형 정적 공탄성 해석 시스템을 개발하고 검증하였다. 유체/구조간 직접 연계를 위하여 구조 격자에서 유체 격자로의 변위의 변환은 보 유한 요소 모델에 사용된 형상 함수를 유체 격자에서 구조 격자로의 힘의 변환은 일 등가 하중의 개념을 사용하였다. 그리고 이러한 날개의 정적 공탄성 해석 시, 이론적으로 TSD 공기력 사용의 타당성을 보였다. 또한 본 연구에서의 검증은 직접 연계된 공탄성 시스템의 효율적인 힘/변위 변환 기법의 검증을 포함한다.

A Fast Scheme for Inverting Single-Hole Electromagnetic Data

  • Kim Hee Joon;Lee Jung-Mo;Lee Ki Ha
    • 대한자원환경지질학회:학술대회논문집
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    • 대한자원환경지질학회 2002년도 춘계 공동학술발표회
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    • pp.167-169
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    • 2002
  • The extended Born, or localized nonlinear approximation of integral equation (IE) solution has been applied to inverting single-hole electromagnetic (EM) data using a cylindrically symmetric model. The extended Born approximation is less accurate than a full solution but much superior to the simple Born approximation. When applied to the cylindrically symmetric model with a vertical magnetic dipole source, however, the accuracy of the extended Born approximation is greatly improved because the electric field is scalar and continuous everywhere. One of the most important steps in the inversion is the selection of a proper regularization parameter for stability. Occam's inversion (Constable et al., 1987) is an excellent method for obtaining a stable inverse solution. It is extremely slow when combined with a differential equation method because many forward simulations are needed but suitable for the extended Born solution because the Green's functions, the most time consuming part in IE methods, are repeatedly re-usable throughout the inversion. In addition, the If formulation also readily contains a sensitivity matrix, which can be revised at each iteration at little expense. The inversion algorithm developed in this study is quite stable and fast even if the optimum regularization parameter Is sought at each iteration step. Tn this paper we show inversion results using synthetic data obtained from a finite-element method and field data as well.

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Levenberg-Marquardt 알고리즘과 유전 알고리즘을 이용한 유전체 파이프의 영상재구성 (Image Reconstruction of Dielectric Pipes by using Levenberg-Marquardt and Genetic Algorithm)

  • 김정석;나정웅
    • 한국전자파학회논문지
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    • 제14권8호
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    • pp.803-808
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    • 2003
  • 손실 반공간에 두 개의 원통형 파이프가 묻혀 있는 경우 파이프와 주변 매질의 특성을 반복 기법 최적화 역산란을 적용하여 구했다. 산란 전계는 경계요소법을 이용하여 계산하였으며 파이프의 크기, 위치, 내부매질의 비유전을, 도전을, 주변 매질의 비유전을, 도전을 등의 파라미터는 측정 산란 전계로부터 유전 알고리즘과 Levenberg-Marquardt 알고리즘의 혼합 알고리즘을 이용하여 역으로 계산하였다. 두 파이프가 거의 근접해 있는 경우도 역산란이 가능함을 보였다. 산란 전계의 측정오차에 의한 illposednes 는 파수 영역에서 지수 함수적으로 감쇄하는 감쇄모드를 제거하여 안정화시켰다.

Pin Power Distribution Determined by Analyzing the Rotational Gamma Scanning Data of HANARO Fuel Bundle

  • Lee, Jae-Yun;Park, Hee-Dong
    • Nuclear Engineering and Technology
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    • 제30권5호
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    • pp.452-461
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    • 1998
  • The pin power distribution is determined by analyzing the rotational gamma scanning data for 36 element fuel bundle of HANARO. A fission monitor of Nb$^{95}$ is chosen by considering the criteria of the half-life, fission yield, emitting ${\gamma}$-ray energy and probability. The ${\gamma}$-ray spectra were measured in Korea Atomic Energy Research Institute(KAERI) by using a HPGe detector and by rotating the fuel bundle at steps of 10$^{\circ}$. The counting rates of Nb$^{95}$ 766 keV ${\gamma}$-rays are determined by analyzing the full absorption peak in the spectra. A 36$\times$36 response matrix is obtained from calculating the contribution of each rod at every scanning angle by assuming 2-dimensional and parallel beam approximations for the measuring geometry. In terms of the measured counting rates and the calculated response matrix, an inverse problem is set up for the unknown distribution of activity concentrations of pins. To select a suitable solving method, the performances of three direct methods and the iterative least-square method are tested by solving simulation examples. The final solution is obtained by using the iterative least-square method that shows a good stability. The influences of detection error, step size of rotation and the collimator width are discussed on the accuracy of the numerical solution. Hence an improvement in the accuracy of the solution is proposed by reducing the collimator width of the scanning arrangement.

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재료 물성치의 불확실성을 고려한 포장구조체의 건전성 평가 (Integrity Assessment of Asphalt Concrete Pavement System Considering Uncertainties in Material Properties)

  • 이진학;김재민;김영상;문성호
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2007년도 정기 학술대회 논문집
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    • pp.49-54
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    • 2007
  • Structural integrity assessment technique for pavement system is studied considering the uncertainties among the material properties. The artificial neural networks technique is applied for the inverse analysis to estimate the elastic modulus based on the measured deflections from the FWD test. A computer code based on the spectral element method was developed for the accurate and fast analysis of the multi-layered soil structures, and the developed program was used for generating the training and testing patterns for the neural network. Neural networks was applied to estimate the elastic modulus of pavement system using the maximum deflections with and without the uncertainties in the material properties. It was found that the estimation results by the conventiona1 neural networks were very poor when there exist the uncertainties and the estimation results could be significantly improved by adopting the proposed method for generating training patterns considering the uncertainties among material properties.

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Simultaneous identification of moving loads and structural damage by adjoint variable

  • Abbasnia, Reza;Mirzaee, Akbar;Shayanfar, Mohsenali
    • Structural Engineering and Mechanics
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    • 제56권5호
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    • pp.871-897
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    • 2015
  • This paper presents a novel method based on sensitivity of structural response for identifying both the system parameters and input excitation force of a bridge. This method, referred to as "Adjoint Variable Method", is a sensitivity-based finite element model updating method. The computational cost of sensitivity analyses is the main concern associated with damage detection by these methods. The main advantage of proposed method is inclusion of an analytical method to augment the accuracy and speed of the solution. The reliable performance of the method to precisely indentify the location and intensity of all types of predetermined single, multiple and random damages over the whole domain of moving vehicle speed is shown. A comparison study is also carried out to demonstrate the relative effectiveness and upgraded performance of the proposed method in comparison to the similar ordinary sensitivity analysis methods. Moreover, various sources of error including the effects of noise and primary errors on the numerical stability of the proposed method are discussed.