• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2004년도 춘계학술대회논문집
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• pp.442-445
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• 2004

The acoustic target strength (TS) of submarine is associated with its active detection, positioning and classification. That is, the survivability of submarine depends on its target strength. So it should be managed with all possible means. An anechoic coating to existing submarine or changing of curvature can be considered as major measures to reduce the TS of submarine. It is mainly based on the prediction of its TS. Under this circumstances, a study on the more accurate numerical methods becomes big topic for submarine design. In this paper, Kirchhoff approximation method was adopted as a numerical tool for the physical optics region. Secondly, the scaled models of submarine were built and tested in order to verify its performance. Through the comparison, it was found out that the Kirchhoff approximation method could be good design tool for the prediction of TS of submarine.

• 전자공학회논문지A
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• 제32A권1호
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• pp.45-52
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• 1995

A new Kirchhoff approximation(KA) method was proposed for microwave scttering from randomly rough surfaces. Using the spectral representation of delta function and its sifting theorem, a new KA was formulated directly without any further approximation, and this formulated was used to compute exact backscttering coefficients. The validity of the KA was verified by a numerical method, and this new KA technique was used to evaluate the existing approximated KkA methods; i.t., the zeroth-order and the first-order approximated physical optics(PO) models. It was shown that the first-order approximated PO model has small error than the zeroth-order approximated PO model at low incidence angles and the opposite happens at higher incidence angles. This new KA model can be used to compute exact scattering coefficients in the validity regions of KA and to evaluate other theoretical and numerical models for scattering from randomly rough surfaces.

• 비파괴검사학회지
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• 제24권4호
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• pp.354-361
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• 2004

SH파의 균열 산란장 해석을 위하여 먼저 균열개구변위(COD)를 미지수로 하는 경계적분방정식(BIE)을 수립하였다. 폭 2a의 고립된 2차원 균열(slit)에 임의의 각도로 입사하는 시간조화 평면파에 대하여 COD를 주파수 ka의 함수로 구하였으며, 다른 연구 결과와 잘 일치함을 확인하였다. 초음파 비파괴평가에서 중요한 변수로 취급되는 원거리 산란음장을 두 가지 방법으로 구하였다. 펄스-에코 모드에서 Kirchhoff 근사법과 BIE-COD에 기초한 엄밀해의 결과를 입사각도와 주파수의 함수로 계산하고 서로 비교하였다. SH파가 균열면에 수직으로 입사/반사한 경우 산란음장은 최대가 되고, 두 방법은 정확히 일치하였다. 수직입사에서 멀어질수록 산란진폭은 모두 급격히 감소하며, Kirchhoff 근사법은 엄밀해와 차이를 보였다. 시간 영역의 원거리 산란진폭 거동을 구하기 위하여 대역폭을 갖는 중심주파수 10MHz를 곱하고, 퓨리에 역변환으로 시간영역 신호를 계산하였다. 경사 입사시에 시간영역의 진폭은 좌우 균열 선단에 의해 분리되며, 두 신호 사이의 시간 간격은 균열의 크기와 관련된다 엄밀해와 비교할 때 Kirchhoff 근사법은 정확한 시간 간격을 제공하나, 동일한 크기의 균열 선단 신호를 제공하는 부정확함이 있다.

• International Journal of Ocean System Engineering
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• 제3권1호
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• pp.22-32
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• 2013

A heuristic physical theory of diffraction (PTD) for an acoustic impedance wedge is proposed. This method is based on Ufimtsev's three-dimensional PTD, which is derived for an acoustic soft or hard wedge. We modify the original PTD according to the process of physical optics (or the Kirchhoff approximation) to obtain a 3D heuristic diffraction model for an impedance wedge. In principle, our result is equivalent to Luebbers' model presented in electromagnetism. Moreover, our approach provides a useful insight into the theoretical basis of the existing heuristic diffraction methods. The derived heuristic PTD is applied to an arbitrary impedance polygon, and a simple PTD formula is derived as a supplement to the physical optics formula.

• 전자공학회논문지A
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• 제31A권10호
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• pp.48-53
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• 1994

The problem of a plane wave impinging upon a semi-infinite paralle-plate waveguide is investigated. The interior fields can be analyzed by converting the initial field into vaveguide modes. Kirchhoff approximation is usually made at the waveguide aperture in the literature. In this paper, a modified approximation is made using the Uniform Gemetrical Theory of Diffraction(UTD). Numerical results show excellent agreement between UTD-supplemented mode-matching solution and UTD solution.

• Kyungpook Mathematical Journal
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• 제59권4호
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• pp.735-769
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• 2019

In this paper, we consider the Robin-Dirichlet problem for a nonlinear wave equation of Kirchhoff-Carrier type with a viscoelastic term. Using the Faedo-Galerkin method and the linearization method for nonlinear terms, the existence and uniqueness of a weak solution are proved. An asymptotic expansion of high order in a small parameter of a weak solution is also discussed.

• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 2007년도 정기 학술대회 논문집
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• pp.513-518
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• 2007

A polygon-wise constant curvature natural element approximation is presented in this paper for the numerical implementation of the abstract Kirchhoff plate model. The strict continuity requirement in the displacement field is relaxed by converting the area integral of the curvatures into the boundary integral along the Voronoi boundary. Curvatures and bending moments are assumed to be constant within each Voronoi polygon, and the Voronoi-polygon-wise constant curvatures are derived in a selective manner for the sake of the imposition of essential boundary conditions. The numerical results illustrating the proposed method are also given.

• Structural Engineering and Mechanics
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• 제41권5호
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• pp.617-632
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• 2012

An isogeometric approach is presented for static analysis of thin plate problems of various geometries. Non-Uniform Rational B-Splines (NURBS) basis function is applied for approximation of the thin plate deflection, as for description of the geometry. The governing equation based on Kirchhoff plate theory, is discretized using the standard Galerkin method. The essential boundary conditions are enforced by the Lagrange multiplier method. Several typical examples of thin plate and thin plate on elastic foundation are solved and compared with the theoretical solutions and other numerical methods. The numerical results show the robustness and efficiency of the proposed approach.

• 한국음향학회:학술대회논문집
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• 한국음향학회 2004년도 춘계학술발표대회 논문집 제23권 1호
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• pp.171-174
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• 2004

표적강도는 수중 산란체의 능동 탐지 확률을 좌우하는 중요한 변수중 하나이며 산란체의 기하학적 형상에 의해 결정이 되기 때문에 수치해석을 통한 해석 및 예측이 가능하다. 수치해석 기법은 현재 여러 가지가 알려져 있으며, 그중 Kirchhoff approximation이 다른 해석 기법에 비해 거울면 반사특성의 산란해석에 적합하며, 프로그램으로의 적용이 용이하다는 장점으로 인해 많이 사용되고 있다. 본 연구에서는 이러한 장점에 의거하여 Kirchhoff approximation을 이용하여 표적강도 수치해석 프로그램을 개발 및 검증하였다. 프로그램의 성능 검증은 원통형 산란체에 대한 이론해 검증과 원통형 실험 산란체를 통한 실험 검증을 수행하였다.

• 대한조선학회논문집
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• 제42권5호
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• pp.528-533
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• 2005

A mono-static high frequency acoustic target strength analysis scheme was developed for underwater targets, based on the far-field Kirchhoff approximation. Au adaptive triangular beam method and a concept of virtual surface were adopted for considering the effect of hidden surfaces and multiple reflections of an underwater target, respectively. A test of a simple target showed that the suggested hidden surface removal scheme is valid. Then some numerical analyses, for several underwater targets, were carried out; (1) for several simple underwater targets, like sphere, square plate, cylinder, trihedral corner reflector, and (2) for a generic submarine model, The former was exactly coincident with the theoretical results including beam patterns versus azimuth angles, and the latter suggested that multiple reflections have to be considered to estimate more accurate target strength of underwater targets.