• 제목/요약/키워드: surface displacement equation

검색결과 98건 처리시간 0.023초

압전식 탐촉자의 기계-전기 신호 변환 (The Electro-Mechanical Signal Transformation of Piezo-Electric Transducer)

  • 안태원
    • 비파괴검사학회지
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    • 제20권2호
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    • pp.110-115
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    • 2000
  • 전기-기계 상호관계식을 사용하여 시편에서의 산란파를 탐촉자의 전기 신호로 변환시키는 방법을 다루었다. 산란파에 의한 탐촉자의 전기 신호는 입사파와 산란파의 변위, 응력 관계식의 적분으로 표시되었다. 적분 표면은 산란자를 포함하는 닫힌 표면이며 입사파와 산란파의 변위, 응력도 이 표면 좌표에서의 값을 사용한다. 파동해석 결과에서 구한 산란된 파동으로부터 초음파 현미경의 탐촉자 전기 신호를 구했으며 계산 결과를 실험 결과와 비교하였다.

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Pressure Sensitive Paint를 이용한 압력장 측정기술의 이미지 등록에 관한 연구 (Assessment of Image Registration for Pressure-Sensitive Paint)

  • 장영기;박상현;성형진
    • 대한기계학회논문집B
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    • 제28권3호
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    • pp.271-280
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    • 2004
  • Assessment of image registration for Pressure Sensitive Paint (PSP) was performed. A 16 bit camera and LED lamp were used with Uni-FIB paint (ISSI). Because of model displacement and deformation at 'wind-on' condition, a large error of the intensity ratio was induced between 'wind-on' and' wind-off images. To correct the error, many kinds of image registrations were tested. At first, control points were marked on the model surface to find the coefficients of polynomial transform functions between the 'wind-off' 'wind-on' images. The 2nd-order polynomial function was sufficient for representing the model displacement and deformation. An automatic detection scheme was introduced to find the exact coordinates of the control points. The present automatic detection algorithm showed more accurate and user-friendly than the manual detection algorithm. Since the coordinates of transformed pixel were not integer, five interpolation methods were applied to get the exact pixel intensity after transforming the 'wind-on' image. Among these methods, the cubic convolution interpolation scheme gave the best result.

HYDROELASTIC VIBRATION ANALYSIS OF TWO FLEXIBLE RECTANGULAR PLATES PARTIALLY COUPLED WITH A LIQUID

  • Jeong, Kyeong-Hoon;Kim, Jong-Wook
    • Nuclear Engineering and Technology
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    • 제41권3호
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    • pp.335-346
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    • 2009
  • This paper deals with a hydroelastic vibration analysis of two rectangular plates partially coupled with a liquid, which is bounded by two plates and two rigid side walls. The wet displacement of each plate is assumed to be a combination of the modal functions of a dry uniform beam with a clamped boundary condition. As the liquid is assumed to be an ideal liquid, the displacement potential satisfying the Laplace equation is determined so that the liquid boundary conditions can meet the requirements at the rigid surfaces and the free liquid surface. The wet dynamic modal functions of each plate are expanded by using the finite Fourier transform to obtain an appropriate form of the compatibility requirement along the contacting surfaces between the plates and the liquid. The liquid-coupled natural frequencies of the plates are derived by using the Rayleigh-Ritz method. Finite element analyses using commercial software are carried out to verify the proposed theory. It is observed that the theoretical method agrees excellently with the three-dimensional finite element analyses results. The effects of the liquid depth and the liquid thickness on the normalized natural frequencies are investigated to identify the dynamic characteristics of the liquid coupled system.

초기 면내하중을 받는 복합적층판의 저속충격거동 및 손상해석 (Low-Velocity Impact Response and Damage Analysis of Composite Laminates Under Initial In-plane Loading)

  • 최익현
    • Composites Research
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    • 제22권1호
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    • pp.1-8
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    • 2009
  • 본 논문에서는 면내하중을 받는 복합적층판의 저속충격거동과 손상을 해석하였다. 초기부터 존재하는 면내변형률을 고려하여 판의 변위장을 새롭게 가정하고, 이 가정된 변위장에 따른 적층판의 구조거동에 대한 유한요소방정식을 유도하였으며, 유한요소해석 프로그램을 코딩하였다. 유한요소해석을 수행하여 참고문헌의 수치해석 결과와 비교하였으며, 충격에너지는 동일하나 충격체의 질량과 속도가 다른 조건에 대해서도 해석하여 초기 면내하중의 영향을 분석하였다. 바닥으로부터 첫 번째 층간면에서의 잠재적인 층간분리 파손영역을 추정하여 초기 인내하중 및 충격조건에 따른 크기의 변화를 고찰하였다.

사질토 지반의 원형수직구에 설치된 흙막이벽에 작용하는 토압 : 적용성 연구 (Earth Pressure Acting on the Cylindrical Retaining Wall of a Shaft in Cohesionless Soils : Study on the Application by Model Test)

  • 천병식;신영완;문경선
    • 한국지반공학회논문집
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    • 제20권4호
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    • pp.75-88
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    • 2004
  • 사질토 지반의 원형수직구에 설치된 흙막이벽에 작용하는 토압은 축대칭 아칭효과로 인하여 평면변형조건의 옹벽에 작용하는 토압보다는 작은 토압이 작용한다. 따라서, 수평 및 연직방향 아칭효과에 의한 토압감소를 고려하고 상재하중, 벽면마찰, 파괴면의 경사각 등 각종 인자의 영향을 적절히 반영하여 원통형 벽체에 작용하는 토압을 예측할 수 있는 토압산정공식이 제안되었다. 제안된 토압공식의 적용성 확인을 위하여 모형실험이 수행되었다. 벽체변위, 벽면마찰, 벽체 형상비 등을 조절할 수 있는 모형실험장치가 개발되었으며, 건조한 모래지반에서 깊이에 따른 벽체변형이 일정한 조건의 모형실험을 통하여 각각의 영향인자가 원통형 벽체에 작용하는 주동토압에 미치는 영향이 분석되었다. 제안된 토압공식은 모형실험에 의한 토압분포와 유사한 경향을 예측하여 만족스러운 결과를 주는 것으로 나타났다.

Bending and free vibration analysis of laminated piezoelectric composite plates

  • Zhang, Pengchong;Qi, Chengzhi;Fang, Hongyuan;Sun, Xu
    • Structural Engineering and Mechanics
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    • 제75권6호
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    • pp.747-769
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    • 2020
  • This paper provides a semi-analytical approach to investigate the variations of 3D displacement components, electric potential, stresses, electric displacements and transverse vibration frequencies in laminated piezoelectric composite plates based on the scaled boundary finite element method (SBFEM) and the precise integration algorithm (PIA). The proposed approach can analyze the static and dynamic responses of multilayered piezoelectric plates with any number of laminae, various geometrical shapes, boundary conditions, thickness-to-length ratios and stacking sequences. Only a longitudinal surface of the plate is discretized into 2D elements, which helps to improve the computational efficiency. Comparing with plate theories and other numerical methods, only three displacement components and the electric potential are set as the basic unknown variables and can be represented analytically through the transverse direction. The whole derivation is built upon the three dimensional key equations of elasticity for the piezoelectric materials and no assumptions on the plate kinematics have been taken. By virtue of the equilibrium equations, the constitutive relations and the introduced set of scaled boundary coordinates, three-dimensional governing partial differential equations are converted into the second order ordinary differential matrix equation. Furthermore, aided by the introduced internal nodal force, a first order ordinary differential equation is obtained with its general solution in the form of a matrix exponent. To further improve the accuracy of the matrix exponent in the SBFEM, the PIA is employed to make sure any desired accuracy of the mechanical and electric variables. By virtue of the kinetic energy technique, the global mass matrix of the composite plates constituted by piezoelectric laminae is constructed for the first time based on the SBFEM. Finally, comparisons with the exact solutions and available results are made to confirm the accuracy and effectiveness of the developed methodology. What's more, the effect of boundary conditions, thickness-to-length ratios and stacking sequences of laminae on the distributions of natural frequencies, mechanical and electric fields in laminated piezoelectric composite plates is evaluated.

단일 나노입자의 다중 물리량의 평가를 위한 입자 모션 트랙킹 알고리즘 (Particle-motion-tracking Algorithm for the Evaluation of the Multi-physical Properties of Single Nanoparticles)

  • 박예은;강지윤;박민수;노효웅;박홍식
    • 센서학회지
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    • 제31권3호
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    • pp.175-179
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    • 2022
  • The physical properties of biomaterials are important for their isolation and separation from body fluids. In particular, the precise evaluation of the multi-physical properties of single biomolecules is essential in that the correlation between physical and biological properties of specific biomolecule. However, the majority of scientific equipment, can only determine specific-physical properties of single nanoparticles, making the evaluation of the multi-physical properties difficult. The improvement of analytical techniques for the evaluation of multi-physical properties is therefore required in various research fields. In this study, we developed a motion-tracking algorithm to evaluate the multi-physical properties of single-nanoparticles by analyzing their behavior. We observed the Brownian motion and electric-field-induced drift of fluorescent nanoparticles injected in a microfluidic chip with two electrodes using confocal microscopy. The proposed algorithm is able to determine the size of the nanoparticles by i) removing the background noise from images, ii) tracking the motion of nanoparticles using the circular-Hough transform, iii) extracting the mean squared displacement (MSD) of the tracked nanoparticles, and iv) applying the MSD to the Stokes-Einstein equation. We compared the evaluated size of the nanoparticles with the size measured by SEM. We also determined the zeta-potential and surface-charge density of the nanoparticles using the extracted electrophoretic velocity and the Helmholtz-Smoluchowski equation. The proposed motion-tracking algorithm could be employed in various fields related to biomaterial analysis, such as exosome analysis.

다층지반에서의 아칭현상에 의한 수직갱 토압 (Earth pressure of vertical shaft considering arching effect in layered soils)

  • 이인모;문홍표;이대수;김경렬;조만섭
    • 한국터널지하공간학회 논문집
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    • 제9권1호
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    • pp.49-62
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    • 2007
  • 본 연구에서는 사질토 지반에 설치된 수직갱에 작용하는 토압에 대한 기존 제안식을 수정하였다. 이를 검증하기 위하여 깊이에 관계없이 동일한 반경방향 변위를 일으킬 수 있는 실내 모형시험장치를 개발하였으며, 벽면마찰각과 상대 밀도를 변수로 시험하였다. 실내 모형시험 결과는 수정식에서 접선방향 토압계수(수직응력에 대한 접선방향 응력 비)인 $\lambda$값을 $\lambda=1-sin\phi$$\lambda=1$을 사용하였을 경우의 토압 사이에 분포하였다. 다층지반에 설치된 원형수직갱 배면지반의 파괴면을 가정하고 수정식을 적용하여 다층지반에 설치된 원형수직갱에 작용하는 토압 산정방법을 제안하였다. 시공현장의 3개의 수직갱으로부터 계측 데이터를 획득하였으며 이를 토압으로 환산하여 제안된 방법을 검증하였다. 계측 데이터로부터 환산된 대부분의 환산 토압은 제안된 방법의 토압과 잘 일치하였다.

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Single-Layer 포텐셜과 가중함수를 이용한 응력강도계수의 계산 (Calculation of Stress Intensity Factors Using Single-Layer Potential and Weight Function)

  • 이형연;홍창선
    • 대한기계학회논문집
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    • 제19권4호
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    • pp.981-989
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    • 1995
  • A new weight function approach to determine SIF(stress intensity factor) using single-layer potential has been presented. The crack surface displacement field was represented by one boundary integral term whose kernel was modified from Kelvin's fundamental solution. The proposed method enables the calculation of SIF using only one SIF solution without any modification for the crack geometries symmetric in two-dimensional plane such as a center crack in a plate with or without an internal hole, double edge cracks, circumferential crack or radial cracks in a pipe. The application procedure to those crack problems is very simple and straightforward with only one SIF solution. The necessary information in the analysis is two reference SIFs. The analysis results using present closed-form solution were in good agreement with those of the literature.

유한요소 교호법을 이용한 모드 I 하중 하의 삼차원 균열의 해석 (Analysis of Three Dimensional Cracks Subjected to the Mode I Loading by Using FEAM)

  • 김태순;박재학
    • 대한기계학회논문집A
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    • 제24권4호
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    • pp.982-990
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    • 2000
  • The finite element alternating method is extended further for general three dimensional cracks in an isotropic body subjected to the mode I loading. The required analytical solution for a dime dimensional crack in an infinite isotropic body is obtained by solving the integral equations. In order to remove the high singularity in integration, the technique suggested by Keat et al. was used. With the proposed method several example problems are solved in order to check the accuracy and efficiency of the method.