• Title/Summary/Keyword: 해석적 적분

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On the Removal of Irregular Frequencies in the Prediction of Ship Motion in Waves (파랑중에서 전진동요하는 선박의 특이파수 억제에 관한 연구)

  • H.Y. Lee;D.J. Yum
    • Journal of the Society of Naval Architects of Korea
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    • v.31 no.4
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    • pp.73-81
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    • 1994
  • The source and source/dipole distribution methods using 3-dimensional panel method have been widely used for ship motion analysis. When these methods are used, large errors in the predicted hydrodynamic coefficients are introduced around the irregular frequencies caused by the resonance of imaginary internal flow. Therefore, the irregular frequencies need to be removed for an accurate prediction of ship motion. This paper adopts 3-dimensional translating and oscillating Green function derived by Wu. The adaptive integration method, stretching transform and stationary phase method are used for the calculation of the calculation of Green function and the integral equation is derived by distributing the Green function n ship surface and inner free-surface. The condition of zero normal velocity, that is, wall condition on inner free-surface has been successfully used for the removal of irregular frequencies in oscillating problems. The calculations are carried out for series 60($C_B=0.7$) vessel and the results are compared with those of other theoretical analyses and experiment.

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통합형 점소성 구성방정식을 적용한 유한요소해석에 관한 연구

  • Kim, Jong-Beom;Lee, Hyeong-Yeon;Yoo, Bong;Kwak, Dae-Young;Lim, Yong-Taek
    • Proceedings of the Korean Nuclear Society Conference
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    • 1995.05a
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    • pp.1014-1020
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    • 1995
  • 고온구조물은 고온에서의 운전상태에 따라 복잡한 하중이력을 경험하게 됨으로써 상온에서 발생하는 손상 기구와는 달리 온도 의존성을 가질 뿐만 아니라, 상온에서 볼 수 없는 크립-피로의 상호작용에 의한 손상현상이 나타나게 된다. 따라서 고온 구조물의 건전성 평가를 위한 비탄성 해석을 신뢰성 있게 수행하기 위해서는 구조물의 비선형 거동을 비교적 정확히 예측할 수 있는 통합 구성방정식의 개발 및 적용과 온도에 따른 재료의 물성치 확보가 필수적이다. 본 연구에서는 통합 점소성 모델인 수정된 Chaboche 모델에 대해서 내연적 시간 적분법을 적용하여 ABAQUS의 UMAT으로 구현하였고, 개발된 프로그램을 이용하여 INCONEL 718을 사용한 단순 인장해석, 반복 소성 특성해석 및 크립 해석을 수행하여 프로그램의 신뢰성을 평가하였다. 또한 원공이 있는 평판에 대한 예제해석을 수행함으로써 개발된 프로그램이 고온구조물의 건전성 평가를 위한 비탄성 해석에 적절하게 적용될 수 있음을 확인하였다.

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Numerical Analysis of a Crack in the Vicinity of an Inclusion (함유체에 인접한 크랙에 관한 수치해석)

  • 이정기;라원석
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.12 no.3
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    • pp.465-474
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    • 1999
  • A recently developed numerical method based on a volume integral formulation is applied to calculate the accurate stress intensity factors at the crack tips in unbounded isotropic solids in the presence of multiple anisotropic inclusions and cracks subject to external loads. In this paper, a detailed analysis of the stress intensity factors are carried out for an unbounded isotropic matrix containing an orthotropic cylindrical inclusion and a crack. The accuracy and effectiveness of the new method are examined through comparison with results obtained from analytical method and finite element method using ANSYS. It is demonstrated that this new method is very accurate and effective for solving plane elastostatic problems in unbounded solids containing anisotropic inclusions and cracks.

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Heat Transfer on a Jet Vane Surface Installed in a Rocket Nozzle (로켓노즐에 장착된 제트베인 표면의 열전달 특성)

  • Yu Man Sun;Cho Hyung Hee;Hwang Ki Young;Bae Ju Chan
    • Journal of the Korean Society of Propulsion Engineers
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    • v.9 no.1
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    • pp.9-16
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    • 2005
  • Jet vane is an useful component which is installed at the end of a nozzle for the purpose of the posture control and the secure controlling stability during the initial launching of a rocket. During several seconds from its initial launching moment, the JV driving part is heated due to the direct contact of the vane with the combusted gas and the vane is ablated mechanically or chemically. In this study, as the fundamental study for the thermal analysis of jet vane, the heat transfer into a jet vane which is located in the uniform supersonic flow field is calculated. For this, boundary layer integral method and finite difference method are used simultaneously. Based on the thermal boundary conditions derived from the analysis, the transient heat conduction in the vane is also calculated.

A predictor-corrector algorithm of the generalized-$\alpha$ method for analysis of structural dynamics (동적해석을 위한 일반화된$\alpha$ 방범의 예측 수정자 알고리즘)

  • ;Hulbert, Gregory M.
    • Journal of KSNVE
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    • v.5 no.2
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    • pp.207-213
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    • 1995
  • A new predictor-corrector explicit time integration algorithm is presented for solving structural dynamics problems. The basis of the algorithm is the implicit generalized-.alpha. method recently developed by the authors. Like its implicit parent, the explicit generalized-$\alpha$ method is a one- parameter family of algorithms in which the parameter defines the high-frequency numerical dissipation. The algorithm can be utilized effectively for linear and nonlinear structural dynamics calculations is which numerical dissipation is needed to reduce spurious oscillations inherent in non-dissipative time integration methods used to solve wave propagation problems.

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Radiation Impedance and Directional characteristics of Piezoelectric Cylinder Transducer for Various Mechanical Boundary Conditions. (기계적 경계조건에 대한 원통형 압전 변환기의 방사임피던스 및 지향특성변화)

  • 윤종락
    • Proceedings of the Acoustical Society of Korea Conference
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    • 1992.06a
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    • pp.91-95
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    • 1992
  • 개영역(open boundary) 내의 변환기에 대한 음장 특성은 경계 조건이 좌표계와 정합되는 특수한 경우 헤름홀쯔 방정식풀이로 그렇지 않은 복잡한 형태의 음장에 대해서는 경계적분법이나 근사해법으로 얻어진다. 그러나 최근 이러한 문제들은 발달된 컴퓨터의 계산능력으로 유한요소법이나 경계요소법을 이용한 수치해법으로 해결되고 있다. 본 연구에서는 경계조건 변화에 따른 원통형 압전변환기의 방사임피던스 및 지향특성을 유한요소법 및 하이브리드형 무한요소법을 이용하여 구하고 기존의 해석적 결과와 비교하여 수중용 변환기 제작의 설계에 대한 기초자료를 제공하고자 한다.

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Partially Implicit Chebyshev Pseudo-spectral Method for a Periodic Unsteady Flow Analysis (부분 내재적 체비셰브 스펙트럴 기법을 이용한 주기적인 비정상 유동 해석)

  • Im, Dong Kyun
    • Journal of Aerospace System Engineering
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    • v.14 no.3
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    • pp.17-23
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    • 2020
  • In this paper, the efficient periodic unsteady flow analysis is developed by using a Chebyshev collocation operator applied to the time differential term of the governing equations. The partial implicit time integration method was also applied in the governing equation for a fluid, which means flux terms were implicitly processed for a time integration and the time derivative terms were applied explicitly in the form of the source term by applying the Chebyshev collocation operator. To verify this method, we applied the 1D unsteady Burgers equation and the 2D oscillating airfoil. The results were compared with the existing unsteady flow frequency analysis technique, the Harmonic Balance Method, and the experimental data. The Chebyshev collocation operator can manage time derivatives for periodic and non-periodic problems, so it can be applied to non-periodic problems later.

Analysis of the Radiation Patterns for a Millimeter Wave Corrugated Horn Antenna by Vector Integral Method and Quasi-Optics (벡터 적분법과 준 광학모드에 의한 밀리미터파용 컬러게이트 혼 안테나의 복사패턴 해석)

  • Son-Tae Ho
    • The Proceeding of the Korean Institute of Electromagnetic Engineering and Science
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    • v.5 no.2
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    • pp.20-28
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    • 1994
  • Theoretical radiation patterns for the corrugated horn antenna are analyzed by vector integral method and quasi-optics. The formular of the radiated fields for the corrugated horn antenna can be obtained by the potentials derived the equivalent current sources from hybrid fields at horn aperture and also calculated by the expanded mode set of Gaussian - Laguerre based on the quasi - optics. From comparison of the radiation patterns between two methods for a corrugated horn antenna designed on 85-115 GHz frequency range, the results are coincided well at center frequency but have some errors at each side frequencies 85 and 115 GHz.

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An Eigen Analysis with Out-of-Plane Deformable Ring Element (면외변형 링 요소를 이용한 고유해석)

  • Moon, Won-Joo;Min, Oak-Key;Kim, Yong-Woo
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.7 s.94
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    • pp.1719-1730
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    • 1993
  • This paper presents the theoretical natural frequencies of out-of-plane deformable ring based on the variables such as out-of-plane deflection, torsional rotation and shear rotation. Based on the same variables, a finite element eigen analysis is carried out by using the $C^0$-continuous, isoparametric element which has three nodes per element and three degrees-of-freedom at each node. Numerical experiments are peformed to find the integration scheme which produces accurate natural frequencies, natural modes and correct rigid body motion. The uniformly reduced integration and the selective reduced integration give more accurate numerical frequencies than the uniformly full integration, but the uniformly reduced integration produces incorrect rigid body motion while selective reduced integration does correct one. Therefore, the ring element based on the three variables which employes selective reduced integration is recommended to avoid spurious modes, to alleviate the error due to shear locking and to produce correct rigid body motion, simultaneously.

Fast numerical methods for marine controlled-source electromagnetic (EM) survey data based on multigrid quasi-linear approximation and iterative EM migration (다중격자 준선형 근사 및 반복적 전자탐사 구조보정법에 기초한 해양 인공송신 전자탐사 자료의 빠른 수치해석 기법)

  • Ueda, Takumi;Zhdanov, Michael S.
    • Geophysics and Geophysical Exploration
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    • v.11 no.1
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    • pp.60-67
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    • 2008
  • In this paper we consider an application of the method of electromagnetic (EM) migration to the interpretation of a typical marine controlled-source (MCSEM) survey consisting of a set of sea-bottom receivers and a moving electrical bipole transmitter. Three-dimensional interpretation of MCSEM data is a very challenging problem because of the enormous number of computations required in the case of the multi-transmitter and multi-receiver data acquisition systems used in these surveys. At the same time, we demonstrate that the MCSEM surveys with their dense system of transmitters and receivers are extremely well suited for application of the migration method. In order to speed up the computation of the migration field, we apply a fast form of integral equation (IE) solution based on the multigrid quasi-linear (MGQL) approximation which we have developed. The principles of migration imaging formulated in this paper are tested on a typical model of a sea-bottom petroleum reservoir.