• Title/Summary/Keyword: surface integral

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The Energy Release Rate of the Two Dimensional Cracked Body Under Thermal Stresses, Body Forces and Crack-Face Tractions (열응력, 내력 및 균열 경계하중을 고려한 2차원 균열문제의 에너지방출율)

  • 이태원
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.9
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    • pp.2172-2180
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    • 1993
  • Under general loadings, including body forces, crack-face tractions and thermal loading, the energy release rate equation for a two-dimensional cracked body is presented. Defining the virtual crack extension as the variation of the geometry, the equation is directly derived by a shape design sensitivity of the potential energy. Although the form of the derived energy release rate equation is different from other researchers's results, the three example show that the former is exactly the same as the latter. However, the final integral equation do not involve the derivative of the displacement on the crack surface and crack tip region, thereby improving the numerical accuracy in the computation of the energy relase rate. Moreover, as it was derived from the governing equation including non-linear elasticity without special assumptions, the energy release rate of a elasto-plastic fracture can be obtained and any numerical stress analysis method can be applied.

Collinear cracks in a layered structure with a thermoelastically graded interfacial zone under thermal shock (열충격하 적층체의 열탄성 구배기능 계면영역을 고려한 동일선상 복수균열 해석)

  • Choi, Hyung-Jip;Jin, Tae-Eun;Lee, Kang-Yong
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.22 no.4
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    • pp.779-789
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    • 1998
  • In this paper, the thermal shock responses of collinear cracks in a layered medium are investigated based on the uncoupled, quasi-static plane thermoelasticity. The medium is modeled as a bonded structure composed of a surface layer and a semi-infinite substrate. Between these two dissimilar homogeneous constituents, a functionally graded interfacial zone exists with the nonhomogeneous features of continuously varying thermoelastic properties. Three cracks are assumed to be present in the layered medium, one in each one of the constituent materials, aligned collinearly normal to the nominal interfaces. A system of singular integral equations is solved, subjected to the forcing terms of equivalent transient thermal tractions acting on the locations of cracks via superposition. Main results presented are the transient thermal stress intensity factors to illustrate the parametric effects of various geometric and amterial combinations of the medium with the thermoelastically graded interfacial zone and the collinear cracks.

Hydroelastic Responses for a Ship Advancing in Waves (파랑중 전진하는 선박의 유탄성 응답)

  • 이호영;임춘규;정형배
    • Journal of the Society of Naval Architects of Korea
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    • v.40 no.4
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    • pp.16-21
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    • 2003
  • The very large container ships have been built recently and those ships have very small structural rigidity compared with the other conventional ships. As a result, the destruction of ship hull is occurred by the springing including to warping phenomena due to encounter waves. In this study, the solutions of hydrodynamic coefficients are obtained by solving the three dimensional source distribution method and the forward speed Green function representing a translating and pulsating source potential for infinite water depth is used to calculating the integral equation. The vessel is longitudinally divided into various sections and the added mass, wave damping and wave exciting forces of each section is calculated by integrating the dynamic pressures over the mean wetted section surface. The equations for six degree freedom of motions is obtained for each section in the frequency domain and stiffness matrix is calculated by Euler beam theory. The computations are carried out for very large ship and effects of bending and torsional ridigity on the wave frequency and angle are investigated.

Analysis of Electromagnetic Pulse Coupling Via a Slot Aperture into Parallel-Plate waveguide (슬롯 개구를 통한 평행평판 도파관 내부로의 전자파 펄스 결합문제 해석)

  • 이영순;박의준
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.11 no.7
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    • pp.1204-1210
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    • 2000
  • An analysis method for obtaining transient response of electromagnetic pulse(EMP) coupled via a slot aperture into a parallel-plate waveguide, is considered. The mixed-potential integral equation(MPIE), in which the vector and scalar potential Green's functions for the unknown equivalent magnetic surface current of the aperture in parallel-plate region are expressed in closed forms derived by use of the improved complex image method, is formulated. When the method of moments(MoM) is used to solve the MPIE, the matrix-fill time is significantly reduced because of closed-form Green's functions. In order to check the validity of the present method, the numerical results obtained by the present method are compared with those obtained by the previous method. Fairly good agreements between them are observed.

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A Study on the Dynamic Ground Effect on Three-Dimensional Wings Using a Time Domain Panel Method (시간영역패널법을 사용한 3차원 날개의 동적지면효과 연구)

  • Han, Cheol-Heui;Cho, Jin-Soo
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.30 no.4
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    • pp.10-17
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    • 2002
  • A study on the dynamic ground effect on three-dimensional wings is done using an indirect boundary element method(unsteady panel method). An integral equation is obtained by applying Green's theorem on all surfaces of the fluid domain. Constant strength dipole and source panels arc distributed on a wing's surface. The wake sheet is represented by constant strength dipoles. At each time step, a row of wake panels is assumed to be convected from the trailing edge of the wing. The tip vortex behind wings in dynamic ground effect moves outward. The amplitudes of the aerodynamic coefficients for the wings in dynamic ground effect are augmented much more comparing to the case in static ground effect.

Micro-positioning of a Smart Structure using an Enhanced Stick-slip Model (향상된 스틱-슬립 마찰 모델을 이용한 스마트 구조물의 마이크로 위치제어)

  • Lee, Chul-Hee;Jang, Min-Gyu;Choi, Seung-Bok
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2008.11a
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    • pp.230-236
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    • 2008
  • In this paper, a model-based stick-slip compensation for the micro-positioning is proposed using an enhanced stick-slip model based on statistical rough surface contact model. The smart structure is comprised with PZT (lead (Pb) zirconia (Zr) Titanate (Ti)) based stack actuator incorporating with the PID (Proportional-Integral-Derivative) control algorithm, mechanical displacement amplifier and positioning devices. For the stick-slip compensation, the elastic-plastic static friction model is used considering the elastic-plastic asperity contact in the rough surfaces statistically. Mathematical model of system for the positioning apparatus was derived from the dynamic behaviors of structural parts. PID feedback control algorithms with the developed stick-slip model as well as feedforward friction compensator are formulated for achieving the accurate positioning performance. Experimental results are provided to show the performances of friction control using the developed positioning apparatus.

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Low-frequency Noise Reduction in an Enclosure by using a Helmholtz Resonator Array (헬름홀츠 공명기 배열을 이용한 인클로저 내부의 저주파 소음 저감)

  • Park, Soon-Hong;Seo, Sang-Hyun
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.22 no.8
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    • pp.756-762
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    • 2012
  • A method of the low-frequency noise reduction in an enclosure by using an array of Helmholtz resonator is presented. An integral form of equation, which represents the acoustical coupling between the internal sound field and the resonator array, is formulated so that the boundary element method can be applied to solve the coupling problem. It is shown that the resonator array on the surface of the enclosure can be regarded as impedance patches on the boundary element. Experiments on a simple enclosure acoustically coupled with an array of resonators are conducted to verify the method. The predicted noise reduction by the boundary element method shows good agreement with the measured one. The effects of the resistance of resonators as well as the number of resonators on the noise reduction are demonstrated. As a practical example, the presented method is applied to the payload fairing of a space launcher with resonator arrays. It is demonstrated that the resistance of resonators affects significantly the required number of resonators to achieve a desired noise reduction.

Ultrastructure of Wood Cell Wall Tracheids - The Structure of Spiral Thickenings in Compression Wood - (목재세포벽(木材細胞壁)의 미세구조(微細構造)에 관한 연구(硏究) - Compression wood의 나선비후(螺旋肥厚)의 구조(構造) -)

  • Lee, Won-Yong
    • Journal of the Korean Wood Science and Technology
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    • v.9 no.1
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    • pp.1-12
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    • 1981
  • The structure of spiral thickenings, particulary the appearance, arrangement and orientation of thickenings in compression wood of Torreya nucifera, were studied in detail by light and polarizing microscope, scanning and transmission electron microscope. The results obtained are as follows: (1) Using the inclined sections at an angle of 45 degrees to the fiber axis, it seems that we can not only observe the more accurate transverse view of the thickenings but also investigate the formation of their thickenings. (2) Generally 2-4 pieces of thickenings are projected to the cell lumen as nipple-like appearance in transverse section and are as frequent, well developed, forming pair and have the rope-like appearance in radial surface. (3) The secondary wall of early wood is composed of 3 layers (S1, S2, S3) and orientation of thickening appears S helix but that of late wood is of 2 layers (S1, S2) and that orientation shows Z helix. Above two regions are demaracted at several tracheid cells from the growth ring boundary. (4) Orientation of thickening seems to be a element showing the characteristics of compression wood in Torreya nucifera. (5) It believes that the thickenings of compression wood are integral part of the S3 in early wood tracheids and of the S2 in late wood and have the same orientations as the inner-most microfibrils in these layers. (6) Thickening and cavities seem to be not formed together in a secondary cell wall of same tracheids.

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Initial Mixing Analysis of Ocean Outfalls Discharged into Density Stratified Flowing Ambients (밀도성층화된 흐름수역으로 방류되는 해양방류관의 초기확산해석)

  • Lee, Jae-Hyeong;Seo, Il-Won
    • Journal of Korea Water Resources Association
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    • v.33 no.2
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    • pp.207-217
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    • 2000
  • A numerical model is applied to analyze the mixing characteristics of an axisymmetric turbulent buoyant jet discharged into flowing stratified ambients. The numerical model is a Gaussian-vortex model which incorporates the effects of the vortex pair known as the representative characteristics of far-field in flowing ambients. Six ocean outfalls that have field data for the initial dilution at the water surface are selected for testing the applicability of the developed numerical model. The comparisons of the observed initial dilutions and the simulated ones show that the developed numerical model could be used for the analyses of the initial mixings induced by the sewage diffuser discharged into the ocean.

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Numerical analysis of sheet cavitation on marine propellers, considering the effect of cross flow

  • Yari, Ehsan;Ghassemi, Hassan
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.5 no.4
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    • pp.546-558
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    • 2013
  • The research performed in this paper was carried out to investigate the numerical analysis of the sheet cavitation on marine propeller. The method is boundary element method (BEM). Using the Green's theorem, the velocity potential is expressed as an integral equation on the surface of the propeller by hyperboloid-shaped elements. Employing the boundary conditions, the potential is determined via solving the resulting system of equations. For the case study, a DTMB4119 propeller is analyzed with and without cavitating conditions. The pressure distribution and hydrodynamic performance curves of the propellers as well as cavity thickness obtained by numerical method are calculated and compared by the experimental results. Specifically in this article cavitation changes are investigate in both the radial and chord direction. Thus, cross flow variation has been studied in the formation and growth of sheet cavitation. According to the data obtained it can be seen that there is a better agreement and less error between the numerical results gained from the present method and Fluent results than Hong Sun method. This confirms the accurate estimation of the detachment point and the cavity change in radial direction.