• Title/Summary/Keyword: boundary function

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Estimation of Failure Probability Using Boundary Conditions of Failure Pressure Model for Buried Pipelines (파손압력모델의 경계조건을 이용한 매설배관의 파손확률 평가)

  • Lee, Ouk-Sub;Kim, Eui-Sang;Kim, Dong-Hyeok
    • Proceedings of the KSME Conference
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    • 2003.04a
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    • pp.310-315
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    • 2003
  • This paper presents the effect of boundary condition of failure pressure model for buried pipelines on failure prediction by using a failure probability model. The first order Taylor series expansion of the limit state function is used in order to estimate the probability of failure associated with various corrosion defects for long exposure periods in years. A failure pressure model based on a failure function composed of failure pressure and operation pressure is adopted for the assessment of pipeline failure. The effects of random variables such as defect depth, pipe diameter, defect length, fluid pressure, corrosion rate, material yield stress, material ultimate tensile strength and pipe thickness on the failure probability of the buried pipelines are systematically studied by using a failure probability model for the corrosion pipeline.

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Effect of element size in hybrid stress analysis around a hole in loaded orthotropic composites (직교이방성 재료의 구멍주위에 관한 하이브리드 응력해석시 요소크기의 효과)

  • Baek, Tae-Hyun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.10
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    • pp.1702-1711
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    • 1997
  • A numerical study for the number of terms of a power series stress function and the effect of hybrid element size on stress analysis around a hole in loaded orthotropic composites is presented. The hybrid method coupling experimental and/or theoretical inputs and complex variable formulations involving conformal mappings and analytical continuity is used to calculate tangential stress on the boundary of the hole in uniaxially loaded, finite width glass epoxy tensile plate. The tests are done by rarying the number of terms, element size and nodal locations on the external boundary of the hybrid region. The numerical results indicate that the hybrid method is accurate and powerful in both experimental and numerical stress analysis.

Method of Numerical Simulation by Using the Local Harmonic Functions in the Cylindrical Coordinates (국소적 조화함수를 사용한 원통좌표계에서의 유동 해석)

  • Suh, Yong-Kweon
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.31 no.3 s.258
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    • pp.300-305
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    • 2007
  • Many practical flow problems are defined with the circular boundary. Fluid flows within a circular boundary are however susceptible to a singularity problem when the cylindrical coordinates are employed. To remove this singularity a method has been developed in this study which uses the local harmonic functions in discretization of derivatives as well as interpolation. This paper describes the basic reason for introducing the harmonic functions and the overall numerical methods. The numerical methods are evaluated in terms of the accuracy and the stability. The Lamb-dipole flow is selected as a test flow. We will see that the harmonic-function method indeed gives more accurate solutions than the conventional methods in which the polynomial functions are utilized.

A FINITE ELEMENT METHOD USING SINGULAR FUNCTIONS FOR HELMHOLTZ EQUATIONS: PART I

  • Kim, Seok-Chan;Pyo, Jae-Hong;Lee, Jong-Sik
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.12 no.1
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    • pp.13-23
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    • 2008
  • In [7, 8], they proposed a new singular function(NSF) method to compute singular solutions of Poisson equations on a polygonal domain with re-entrant angles. Singularities are eliminated and only the regular part of the solution that is in $H^2$ is computed. The stress intensity factor and the solution can be computed as a post processing step. This method was extended to the interface problem and Poisson equations with the mixed boundary condition. In this paper, we give NSF method for the Helmholtz equations ${\Delta}u+Ku=f$ with homogeneous Dirichlet boundary condition. Examples with a singular point are given with numerical results.

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Dielectric, Pyroelectric and Piezoelectric Properties of 0.7PMN-0.3PT Ceramics Modified With Cr$_2$O$_3$

  • Hyun, June-Won
    • Journal of the Korean institute of surface engineering
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    • v.36 no.5
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    • pp.413-417
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    • 2003
  • The effect of 0-0.7 ㏖% addition of $Cr_2$$O_3$on the dielectric, pyroelectric, and piezoelectric properties were studied in the (Mg$0.7Pb_{1}$$3/Nb_{2}$3/)$O_3$-$0.3PbTiO_3$(0.7PMN-0.3PT) ceramics with composition near the morphotropic phase boundary. The dielectric constant and loss of the ceramics samples were measured as a function of temperature at various frequencies (0.1-100 KHz). The pyroelectric coefficient was measured by using the Byer-Roundy method as a function of temperature. Dielectric, pyroelectric, and piezoelectric constant achieved the maximum values of 0.4 ㏖% $Cr_2$$O_3$The transition temperature is continuously shifted to lower temperature with an increase of a small amount of $Cr_2$$O_3$.

Dynamic analysis of 3-D structures with adaptivity in RBF of dual reciprocity BEM

  • Razaee, S.H.;Noorzad, A.
    • Structural Engineering and Mechanics
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    • v.29 no.2
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    • pp.117-134
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    • 2008
  • A new adaptive dual reciprocity boundary element method for dynamic analysis of 3-D structures is presented in this paper. It is based on finding the best approximation function of a radial basis function (RBF) group $f=r^n+c$ which minimize the error of displacement field expansion. Also, the effects of some parameters such as the existence of internal points, number of RBF functions and position of collocation nodes in discontinuous elements are investigated in this adaptive procedure. Three numerical examples show improvement in dynamic response of structures with adaptive RBF in dual reciprocity with respect to ordinary BEM.

A Study on Buckling Load Characteristic of Songdo Convention Center with Initial Imperfection and Joint Rigidity (송도 컨벤션 센터의 초기형상불완전 및 절점강성에 따른 좌굴하중 특성에 관한 연구)

  • Moon, Hye-Su;An, Sang-Gil;Shon, Su-Deok;Lee, Dong-Woo;Kim, Seung-Deog
    • Proceeding of KASS Symposium
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    • 2006.05a
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    • pp.191-204
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    • 2006
  • This paper investigate the optimum thickness distribution of plate structure with different essential boundary conditions in the fundamental natural frequency maximization problem. In this study, the fundamental natural frequency is considered as the objective function to be maximized and the initial volume of structures is used as the constraint function. The computer-aided geometric design (CAGD) such as Coon's patch representation is used to represent the thickness distribution of plates. A reliable degenerated shell finite element is adopted calculate the accurate fundamental natural frequency of the plates. Robust optimization algorithms implemented in the optimizer DoT are adopted to search optimum thickness values during the optimization iteration. Finally, the optimum thickness distribution with respect to different boundary condition

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Application of the Improved Green Integral Equation to the Radiation-Diffraction Problem for a Floating Ocean Structure in Waves and Current

  • Hong, Do-Chun
    • International Journal of Ocean Engineering and Technology Speciallssue:Selected Papers
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    • v.3 no.1
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    • pp.14-22
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    • 2000
  • The improved Green integral equation for the calculation of time-harmonic potentials in the radiation diffraction problem about a freely floating body in the presence of moderate or weak current is presented. The forward-speed Green function presented by Brard is used. The correct free surface boundary conditions on the physical free surface are employed as well as an appropriate boundary conditions on the non-physical inner free surface. The default in the existing Green integral equation as well as in the source integral equation is discussed in detail.

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Numerical Analysis of Waves Profiles coming with Oblique Angle to Permeable Submerged Breakwater on the Porous Seabed

  • Kim, Nam-Hyeong;Woo, Su-Min
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
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    • 2013.06a
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    • pp.275-276
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    • 2013
  • This analysis method is based on the wave pressure function with the continuity in the analytical region including fluid and porous structures. Wave profiles coming with oblique angle to permeable submerged breakwater on the porous seabed are computed numerically by using boundary element method. When compared with the existing results for the oblique incident wave, the results of this study show good agreement. The results indicate that wave profiles own high dependability regarding the change of oblique incident waves and permeable submerged breakwater on the porous seabed. Therefore, the analysis method of this study are estimated to be applied as an accurate numerical analysis referring to oblique incident waves and permeable submerged breakwater on the porous seabed in real sea environment.

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Influence of the Metallization During the Manufacturing of the Ceramic Capacitor on the Dielectric Properties (콘덴사 제어에 있어서 금속화과정이 유도특성에 미치는 영향)

  • Ho-Gi Kim
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.33 no.2
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    • pp.83-87
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    • 1984
  • Influence of the metallization during the manufacturing of the ceramic multilayer capacitor on the dielectric properties was studied as a change of the capacity and the dissipation factor. Due to the change of the relative dielectric constant as a function of the measuring temperature the influence of the metallization could be obtained and the change of the dissipation factor as a function of the measuring frequency was anaysed. In order to investigate the boundary effect between the metallization and the dielectric a kind of microstructure model at the internal Grain and Grain Boundary was constructed and tried to analyse the change of the dielectric properties.

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