• Title/Summary/Keyword: Semi-Infinite

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Application of Semi-infinite Boundary Element Method for Tunnel Vibration Analysis (터널 진동해석을 위한 반무한 경계요소법의 적용)

  • 김문겸;이종우;전제성
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1994.04a
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    • pp.128-136
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    • 1994
  • In this study, dynamic boundary element method using mass matrix is derived, using fundamental solutions for the semi-infinite domain. In constituting boundary integral equations for the dynamic equilibrium condition, inertia term in the form of domain integral is transformed into boundary integral form. Corresponding system equations are derived, and a boundary element program is developed. In addition, equations for free vibration is formulated, and eigenvalue analysis is performed. The results from the dynamic boundary element analysis for a tunnel problem are compared with those from the finite element analysis. According to the comparison, boundary element method using mass matrix is consistent with the results of finite element method. Consequently, in tunnel vibration problems, it results in reasonable solution compared with other methods where relatively higher degree of freedoms are employed.

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finite Element Modeling of a Hemispherical Asperity Adhesively Contacting the Plane Surface of Semi-Infinite Rigid Body (강체평면에 흉착접촉하는 반구헝돌기의 유한요소모델링)

  • Cho, Sung-San;Park, Seung-Ho
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.11
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    • pp.2436-2441
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    • 2002
  • Finite element technique considering adhesive forces is proposed and applied to analyze the behavior of elastic hemispherical asperity adhesively contacting the plane surface of semi -infinite rigid body. It is demonstrated that the finite element model simulates interfacial phenomena such as jump -to-contact and adhesion hysteresis that cannot be simulated with the currently available adhesive contact continuum models. This simulation aiso provides valuable information on contact pressure, contact region and stress distributions. This technique is anticipated to be utilized in designing a low-adhesion surface profile for MEMS/NEMS applications since various contact geometries can be analyzed with this technique.

Analytical Solutions for Wave deformation Due to Semi-Infinite Breakwaters (반무한방파제에 의한 파랑변형 해석해)

  • Seo, Seung-Nam
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.11 no.3
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    • pp.156-164
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    • 1999
  • Two analytical solutions for wave diffraction by a semi-infinite breakwater, which Penney and Price (1952), and Stoker (1957) presented, are rederived. Since in previous works the derivations were skipped or briefly given, in the paper the derivation is brought into focus. Numerical computations of the solutions are presented and solution behavior of Stoker's method due to a number of terms in the series is analyzed.

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Dynamic analysis of a magneto-electro-elastic material with a semi-infinite mode-III crack under point impact loads

  • Feng, Wenjie;Liu, Jinxi
    • Structural Engineering and Mechanics
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    • v.27 no.5
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    • pp.609-623
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    • 2007
  • The problem of a semi-infinite magneto-electro-elastically impermeable mode-III crack in a magneto-electro-elastic material is considered under the action of impact loads. For the case when a pair of concentrated anti-plane shear impacts, electric displacement and magnetic induction impacts are exerted symmetrically on the upper and lower surfaces of the crack, the magneto-electro-elastic field ahead of the crack tip is determined in explicit form. The dynamic intensity factors and dynamic energy density factor are obtained. The method adopted is to reduce the mixed initial-boundary value problem, by using the Laplace and Fourier transforms, into three simultaneous dual integral equations, one of which is converted into an Abel's integral equation and the others into a singular integral equation with Cauchy kernel. Based on the obtained fundamental solutions of point impact loads, the solutions of two kinds of different loading cases are evaluated by integration. For some particular cases, the present results reduce to the previous results.

An analysis and modification of a unified phase 1-phase 2 semi-infinite constrained optimization algorithm

  • Yang, Hyun-Suk
    • 제어로봇시스템학회:학술대회논문집
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    • 1994.10a
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    • pp.483-487
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    • 1994
  • In this paper, we analize the effect of a steering water used in a unified phase I-phase II semi-infinite constrained optimization algorithm and present a new algorithm based on the facts that when the point x is far away from the feasible region where all the constraints are satisfied, reaching to the feasible region is more important than minimizing the cost function and that when the point x is near the region, it is more efficient to try to reach the feasible region and to minimize the cost function concurrently. Also, the angle between the search direction vector and the gradient of the cost function is considered when the steering parameter value is computed. Even though changing the steering parameter does not change the rate of convergence of the algorithm, we show through some examples that the proposed algorithm performs better than the other algorithms.

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Intensity Factors for a Branched Crack in a Semi-Infinite Plate Under Tension and Bending Moments (인장과 굽힘을 받는 반 무한 평판내의 분기균열에 대한 강도계수)

  • 김유환;범현규;박치용
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2000.11a
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    • pp.461-464
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    • 2000
  • A branched crack in a semi-infinite plate under tension and bending moment is considered. Intensity factors of the stress and moment for the branched crack are evaluated. The stress intensity factors are obtained by using the finite element method and the J-based mutual integral. The moment intensity factors are calculated by extrapolating the values of the moment near the crack tip. Approximate expressions are also obtained as functions of the branched crack length and branching angle.

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Green's Function of Semi-Infinite Straight Interfacial Crack Problems (반무한 직선 계면균열문제에 관한 그린함수)

  • 최성렬;강기주
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.5
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    • pp.1530-1537
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    • 1991
  • 본 연구에서는 반무한 직선 계면균열의 상하면에 임의로 분포하는 어떠한 하 중에 대해서도 그 해석이 가능한 그린함수(Green's function)를 구하고자 한다. 이 를 위하여 반무한 직선 계면균열상의 임의의 한 점에 평면 집중하중이 작용하는 문제 와 비평면 집중전단하중이 작용하는 문제를 각각 택하였고, 이때 계면균열의 선단은 열려있다고 가정하였다. 이 문제를 풀므로써 균열선단부근의 응력성분을 결정하고 이로부터 그린함수의 의미를 지니는 응력강도계수에 대한 폐형해를 얻었다.

A Unified Phase I - Phase II Semi-Infinite Constrained Optimization Algorithm with a Varying Steering Parameter (가변의 조정변수를 갖는 복합된 1-2 단계 최적화 알고리즘)

  • Yang, Hyun-Suk
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.31B no.9
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    • pp.27-35
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    • 1994
  • It is known that a unified phase I-phase II semi-infinite optimization algorithm with a steerign parameter performs better than the original unified phase I-phase II algorithm. In this paper, the effect of the steering parameter is analized and a new algorithm is presented based on the facts that when the point x is far away from the feasible region, reaching to the feasible region is more important than minimizing the cost functio and that when the point x is near the region, it is more efficient to try to reach the feasible region and to minimize the cost function concurrently. It is also important to consider the relationship between the feasible direction and the gradient of the cost function. Even though changing the steering parameter does not change the rate of convergence of the algorithm, it is shown from examples that given new algorithm is more efficient than the previous ones.

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Analysis and Measurement of Rough Surface Temperature Rise in Lubricated Condition (거친 표면의 마찰온도 해석 및 온도측정 실험에 관한 연구)

  • Lee, Sang-Don;Cho, Yong-Joo
    • Tribology and Lubricants
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    • v.23 no.2
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    • pp.56-60
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    • 2007
  • The main object of this study is to compare the results that have been concluded by the experiment and to estimate the temperature rise that can cause the contacting surface to be damaged. The former studies are based on the Blok and Jaeger formula. By these formulas we assume that two of the contacted objects are a kind of semi-infinite solid and with this assumption we can make a temperature analysis. But this method doesn't consider lubrication conditions and the calculation time requires a lot of time in that we have to face many difficulties in measuring the actual temperature rise. In this study we combines the semi-infinite solid method and the finite volume method to analyze the temperature of the contacting surface. And we measure temperature rise of the contact surface by dynamic thermocouple.

A Theoretical Study for the Thermal Diffusivity Measurement of Semi-Infinite Solid Using Photothermal Displacement Method (광열변위법을 이용한 반무한 고체의 열확산계수 결정에 대한 이론적 연구)

  • Jeon, Pil-Soo;Lee, Kwang-Jai;Yoo, Jai-Suk;Park, Young-Moo;Lee, Jong-Hwa
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.26 no.12
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    • pp.1747-1755
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    • 2002
  • A complete theoretical treatment of the photothermal displacement technique has been performed for thermal diffusivity measurement in semi-infinite solid materials. The influence of the parameters, such as radius and modulation frequency of the heating beam and the thermal diffusivity, was studied. Usually, thermal diffusivity was determined by the deformation angle and phase angle as the relative position between the heating and probe beams. In this study, we proposed the simple analysis method based on the real part of deformation gradient as the relative position between two beams. It is independent in the parameters such as power of heating beam, absorption coefficient, reflectivity, Poisson's ratio, and thermal expansion coefficient.