• Title/Summary/Keyword: infinite case

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Scattering of Obliquely Incident Waves by a Semi-infinite Breakwater or a Breakwater Gap of Partial Reflection (부분 반사 반무한 방파제 또는 방파제 개구부에 사각으로 입사하는 파의 산란)

  • Kim, Han-Na;Suh, Kyung-Duck
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.21 no.4
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    • pp.334-344
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    • 2009
  • In the present paper, analytic solutions are derived for scattering of obliquely incident waves by a semi-infinite breakwater or a breakwater gap of partial reflection. In order to examine the appropriateness of the derived solutions, they are compared with the solutions derived by McIver in 1999 and Bowen and McIver in 2002 for a semi-infinite breakwater and a breakwater gap, respectively, in the case of perfect reflection. The derived analytic solutions are used to investigate the effect of reflection coefficient of the breakwater and wave incident angle upon the tranquility at harbor entrance. The tranquility is deteriorated by the reflected waves as the reflection coefficient increases and as the waves are incident more obliquely.

A Case Study about the Slope Collapse and Reinforcement Method on the Infinite Slope (무한사면에서의 사면붕괴와 보강대책 사례연구)

  • You Byung-Ok;Hong Jung-Pyo;Jun Jong-Hern;Lee Tae-Sun;Min Kyoung-Nam
    • Tunnel and Underground Space
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    • v.16 no.2 s.61
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    • pp.146-155
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    • 2006
  • The target slope of this study, formed during the construction of highway, is the very high infinite slope where sliding began along the discontinuity. Although an attempt was made to stabilize the upper part of the slope by installing the rock anchors, large scale failure was occurred at the lower part if the reinforced area. Afterwards, subsequent failures were observed two times. To investigate the cause of the failure, residual shear strength was measured by performing the direct shear test of rock specimen of the site. The anchor design was based on the pull-out test. Considering the slope surface where the undulation was severe and the variation of strength was very large, buttressing was used to obtain the required anchoring capacity.

A case study on the lateral movement of bridge abutment foundation and repair methods (교대의 측방변위와 대책공법에 대한 사례연구)

  • Lee, Byung-Suk;Lee, Jae-Yeol
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.13 no.3
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    • pp.1359-1369
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    • 2012
  • In the case of using pile foundation to support bridge abutments on soft ground, the soft ground often causes serious troubles such as lateral movement of bridge abutments by lateral surcharges. In this paper, we investigated and measured the amount of strain of a bridge abutment in the south-western part of Korea. To check the stability and possibility of lateral movement of the bridge abutment, we used the four analysis methods and compared those results; lateral movement index, index for decision of lateral movement and infinite element analysis method. We performed soil and ground tests to fine the causes of the strain and lateral movement. After reviwing several types of repair methods, we suggested the anker reinforcement method along with surcharge process method as a proper repair and rehabilitation of the bridge abutment. Our investigation by through the infinite element analysis method confirmed the effectiveness of the anker reinforcement method allong with the surcharge process method.

Comparison of Parabolic Mild-Slope Equations in View of Wave Diffraction (회절현상의 관점에서 본 포물선형 완경사방정식의 비교)

  • 이해균;이길성;이창훈
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.10 no.1
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    • pp.1-9
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    • 1998
  • Among the phenomena of water-wave transformation, the wave diffraction is prominent for waves insidc the harbor. It is important to study how accurately the diffraction can be resolved by the numerical model. Three parabolic mild-slope equations, i.e., simple, wide-ang1e, three-parameter parabolic equations, are compared in view of the diffraction of water-waves around a semi-infinite breakwater. To avoid reflections at lateral boundaries, we apply the perfect boundary condition of Dalrymple and Martin (1992) in case of simple parabolic equation. The numerical results for the case of a semi-infinite breakwater are compared with the analytical solution of Penney and Price (1952). All the results are very accurate when waves attack the breakwater normally. When waves attack the breakwater obliquely, however, the simple parabolic equation yields the worst solution and the three-parameter parabolic equation yields the most accurate solution.

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Optimal stopping in sampling from a multivariate distribution

  • Jorn, Hong-Suk;Chung, Han-Young
    • Journal of the Korean Operations Research and Management Science Society
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    • v.1 no.1
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    • pp.147-150
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    • 1976
  • Optimal stopping problem without recall from a multivariate distribution is solved by using the concept of an equilibrium point which was introduced by J. Nash. The solution is derived for the two cases: 1. The case where the observation cost C is positive and the given upper bound K on the number of observations is infinite. 2. The case where the observation cost C is zero and the given upper bound K on the number of observations is finite.

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Vibration Analysis for Infinite Length Waveguide Structures Connected with Finite Length Structures Using Impedance Coupling (유한 길이 구조물과 무한 길이 도파관 구조물의 임피던스 연성을 이용한 진동 해석)

  • Ryue, Jungsoo;Lee, Jaehong;Hong, Chinsuk;Shin, Ku-Kyun
    • The Journal of the Acoustical Society of Korea
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    • v.34 no.5
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    • pp.360-370
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    • 2015
  • In case that an infinite length waveguide structure is connected with a finite length structure, it is required to combine a wave approach for the waveguide structure and a modal approach for the finite length structure to investigate the dynamic response of the connected target structure. In this study, the wavenumber finite element (WFE) analysis is adopted for the infinite length waveguide substructure and a finite element (FE) method is applied for the finite length substructure and then their results are coupled in terms of the impedance or mobility at the connected points between the substructures. As a structural model, an infinite length cylindrical shell with a rectangular plate inside is regarded. These two substructures are connected at the four corner points of the plate, rigidly or resiliently. From this investigation, it was confirmed that the wave approach (WFE method) and modal approach (FE method) can be combined by the impedance coupling.

THREE-DIMENSIONAL INFINITE ELEMENTS FOR WAVE FORCE EVALUATION OF OFFSHORE STRUCTURES (해양구조물의 파력산정을 위한 3-차원 무한요소)

  • 박우선;윤정방
    • Computational Structural Engineering
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    • v.4 no.4
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    • pp.135-144
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    • 1991
  • The finite element technique incorporatating infinite elements is applied to analyzing the general three dimensional wave-structure interaction problems within the limits of linear wave theory. The hydrodynamic forces are assumed to be inertially dominated, and viscous effects are neglected. In order to analyze the corresponding boundary value problems efficiently, two types of elements are developed. One is the infinite element for modeling the radiation condition at infinity, and the other is the fictitious bottom boundary element for the case of deep water. To validate those elements, numerical analyses are performed for several floating structures. Comparisons with the results by using other available solution methods show that the present method incorporating the infinite and the fictitious bottom boundary elements gives good results.

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Dynamic characteristics of flexibly supported infinite beam subjected to an axial force and a moving load (이동하중과 축하중이 작용하는 유연한 기초위에 지지된 무한보의 동특성)

  • 홍동균;김광식
    • Journal of the korean Society of Automotive Engineers
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    • v.4 no.3
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    • pp.56-68
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    • 1982
  • This paper presents analytic solutions of defection and their resonance diagrams for a uniform beam of infinite length subjected to an constant axial force and moving transverse load simultaneously. Steady solutions are obtained by a time-independent coordinate moving with the load. The supporting foundation includes damping effects. The influences of the axial force, the damping coefficient and the load velocity on the beam response are studied. The limiting cases of no damping and critical damping are also investigate. The profiles of the deflection of the beam are shown graphically for several values of the load speed, the axial force and damping parameters. Form the results, following conclusions have been reached. 1. The critical velocity .THETA.cr decreases as the axial compressive force increases, but increases as the axial tensile force increase. 2. At the critical velocity .THETA.cr the deflection have a tendency to decrease as the axial tensile force increases and to increase gradually as the axial compressive force increases. 3. In case if relatively small dampings, the deflection increases suddenly as the velocity of the moving load approaches the critical velocity, and it reachs its maximum at the critical velocity, and it decreases and become greatly affected by the axial force as the velocity increases further. 4. in case of relatively large dampings, as the velocity increases the deflection decreases gradually and it is affected little by the axial load.

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Study of Spectral Factorization using Circulant Matrix Factorization to Design the FIR/IIR Lattice Filters (FIR/IIR Lattice 필터의 설계를 위한 Circulant Matrix Factorization을 사용한 Spectral Factorization에 관한 연구)

  • 김상태;박종원
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.7 no.3
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    • pp.437-447
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    • 2003
  • We propose the methods to design the finite impulse response (FIR) and the infinite impulse response (IIR) lattice filters using Schur algorithm through the spectral factorization of the covariance matrix by circulant matrix factorization (CMF). Circulant matrix factorization is also very powerful tool used fur spectral factorization of the covariance polynomial in matrix domain to obtain the minimum phase polynomial without the polynomial root finding problem. Schur algorithm is the method for a fast Cholesky factorization of Toeplitz matrix, which easily determines the lattice filter parameters. Examples for the case of the FIR Inter and for the case of the IIR filter are included, and performance of our method check by comparing of our method and another methods (polynomial root finding and cepstral deconvolution).