• Title/Summary/Keyword: 자유경계조건

Search Result 297, Processing Time 0.023 seconds

A Study on Hybrid Finite Element Method for Solving Electromagnetic Wave Scattering (전자파 산란문제를 해결하기 위한 혼합 유한요소법에 관한 연구)

  • 박동희;강찬석;안정수
    • The Proceeding of the Korean Institute of Electromagnetic Engineering and Science
    • /
    • v.4 no.1
    • /
    • pp.38-43
    • /
    • 1993
  • A Hybrid Finite Element Method(HFEM) is applied to solve the electrormagnetic scattering from multi-layered dielectric cylinders. An unbounde region is divided into local boundary regions where a practical differential equation solution is obtained, with the remaining unbounded region represented by a boundary integral equation. If sources, media inhomogeneities, and anisotropies are local, a surgace may be defined to enclose them. Therefore the integral region so defined is bounded, and differential techniques may be used there. Also, in the re- maining unbounded region a boundary integral equation may be formulated using only a simple free - space green's function. Therefore, The local boundary is represented by a boundary - value problem with boundary conditions and solved by the finite element method. The advantage of the proposed method is simple and efficient in the work of electromagnetic scattering. The validity of the results have been verified by comparing results of other method(boundary element method). Examples has been presented to calculate the scattered fields of lossy dielectric cylinders of arbitray cross section.

  • PDF

Free Vibration of Horizontally Curved Beams with Clothoid Transient Curve (크로소이드 완화곡선을 갖는 수평 곡선보의 자유진동)

  • 이병구;진태기;이태은
    • Journal of the Computational Structural Engineering Institute of Korea
    • /
    • v.15 no.1
    • /
    • pp.189-195
    • /
    • 2002
  • This paper deals with the free vibration of horizontally curved beams with transition currie. Based on the dynamic equilibrium equations of a curved beam element subjected to the stress resultants and inertia forces, the governing differential equations are derived for the out-of-plane vibration of curved beam with variable curvature. These equations are applied to the beam having transition curve in which the clothiod curve is chosen in this study. The differential equations are solved by the numerical methods lot calculating the natural frequencies and mode shapes. For verifying theories developed herein, the frequency parameters obtained from this studs and ADINA are compared with each other. As the numerical results, the various parametric studies effecting on natural frequencies are investigated and those results are presented in tables and figures.

Parametric Studies of Flexural Free Vibrations of Circular Strip Foundations with Various End Constraints Resting on Pasternak Soil (경계조건 변화에 따른 Pasternak 지반으로 지지된 원호형 띠기초의 휨 자유진동에 관한 변수연구)

  • Lee, Byoung-Koo;Li, Guang-Fan;Kang, Hee-Jong;Yoon, Hee-Min
    • Transactions of the Korean Society for Noise and Vibration Engineering
    • /
    • v.17 no.9
    • /
    • pp.835-846
    • /
    • 2007
  • This paper deals with the flexural free vibrations of circular strip foundation with the variable breadth on Pasternak soil. The breadth of strip varies with the linear functional fashion, which is symmetric about the mid-arc. Differential equations governing flexural free vibrations of such strip foundation are derived, in which the elastic soil with the shear layer, i.e. Pasternak soil, is considered. Effects of the rotatory and shear deformation are included in the governing equations. Differential equations are numerically solved to calculate the natural frequencies and mode shapes. In the numerical examples, the hinged-hinged, hinged-clamped and clamped-clamped end constraints are considered. Four lowest frequency parameters accompanied with their corresponding mode shapes are reported and parametric studies between frequency parameters and various system parameters are investigated.

지그재그이론을 이용한 유한요소개발 및 응용

  • Lee, Deog-Gyu
    • Aerospace Engineering and Technology
    • /
    • v.3 no.1
    • /
    • pp.257-266
    • /
    • 2004
  • A three node triangular element with drilling rotations incorporating improved higher-order zig-zag theory(HZZT) is developed to accurately assess the stress distribution through thickness of the laminated plate and analyze the vibration of pretwisted composite plates with embedded damping layer. Shear force matching conditions are enforced along the interfaces between the embedded damping patch and the border patch. The natural frequencies and model loss factors are calculated for cantilevered pretwisted composite blade with damping core with the present triangular element, and compared to experiments and MSC/NASTRAN using a layered combination of plate and solid elements.

  • PDF

FEM Boundary Matching Using Anisotropic Absorber (비등방성 흡수체를 이용한 유한요소법 경계정합)

  • Jang, Young-Choon;Jang, Sung-Hoon;Cheon, Chang-Yul
    • Proceedings of the KIEE Conference
    • /
    • 1997.07e
    • /
    • pp.1883-1886
    • /
    • 1997
  • 3차원 유한요소법에 정합 조건을 구현하기 위해 유한한 두께를 갖는 흡수체을 이용하였다. 흡수체는 자유공간과의 경계에서 모든 입사각에 대해 무반사특성을 갖으며, 일단 흡수체 내로 전파된 파는 흡수체의 끝에 도달하기 전에 흡수체를 통과하면서 충분히 손실되도록 하였다. 이러한 흡수체는 ${\varepsilon}_r$${\mu}_r$에 비등방복소주대각텐서를 사용하여 구현된다. 구현된 흡수체층은 구형도파관에 적용하여, 전파상수를 이용하여 정합시킨 경우와 결과를 비교하였다.

  • PDF

Free Vibrations of Timoshenko Beam with Elastomeric Bearings at Two Far Ends (양단이 탄성받침으로 지지된 Timoshenko 보의 자유진동)

  • Lee, Byoung Koo;Lee, Tae Eun;Park, Chang Eun
    • KSCE Journal of Civil and Environmental Engineering Research
    • /
    • v.31 no.3A
    • /
    • pp.181-187
    • /
    • 2011
  • This paper deals with free vibrations of the Timoshenko beam supported by two elastomeric bearings at two far ends. The ordinary differential equation governing free vibrations of such beam is derived, in which both effects of rotatory inertia and shear deformation are included as the Timoshenko beam theory. Also, boundary conditions of the free end are derived based on the Timoshenko beam theory. The ordinary differential equation is solved by the numerical methods for calculating natural frequencies and mode shapes. Both effects of the rotatory inertia and shear deformation on natural frequencies are extensively discussed. Also, relationships between natural frequencies and slenderness ratio, foundation modulus and bearing length are presented. Typical mode shapes of bending moment and shear force as well as deflection are given in figures which show the positions of maximum amplitudes and nodal points.

Free Vibration Analysis of Multi-Delaminated Beams (다층 층간분리된 적층보의 자유진동해석)

  • 이성희;박대효;백재욱;한병기
    • Journal of the Computational Structural Engineering Institute of Korea
    • /
    • v.14 no.4
    • /
    • pp.469-479
    • /
    • 2001
  • In the present study, free vibration analysis of multi-delaminated beams is performed. In order to investigate the effects of mu1ti-delaminations on the dynamic characteristics of multi-delaminated beams, the general kinematic continuity conditions are derived from the assumption of constant curvature at the multi-delamination tip. Frequency equations of multi-delaminated beams are obtained by dividing the global multi-delaminated beam into beam segments and by imposing recurrence relation from the continuity conditions un each sub-beam. The comparisons between the results of numerical analysis obtained by finite element analysis and those of present analysis give good agreement with each other. It is shown that the effects of multi-delaminations on free vibration characteristics of laminated beams could be used to detect their sizes, types and locations from the results.

  • PDF

Free Vibration Analysis of Rectangular Plate with Elastic Supports - Formulation by the Transfer Infiuence Coefficient Method - (탄성지대를 갖는 사각형 평판의 자유진동해석)

  • Moon, Deok-Hong;Yeo, Dong-Jun
    • Journal of the Korean Society of Fisheries and Ocean Technology
    • /
    • v.27 no.4
    • /
    • pp.313-320
    • /
    • 1991
  • The paper describes the formulation for the analysis of the flexural free vibration of rectangular plate structure by the transfer influence coefficient method, which was developed on the base of the concept of the successive transmission of dynamic influence coefficients. For the analysis of rectangular plate which two opposite sides are simply-supported edge condition, the results of simple numerical examples demonstrate the validity of the present method, that is, the numerical high accuracy, the high speed and the flexibility for programming, compared with results of the transfer matrix method and exact solution or Leissa's method.

  • PDF

Numerical Analysis of Two-Dimensional Nonlinear Radiation Problem Using Higher-Order Boundary Element Method (고차경계요소법을 이용한 2차원 비선형 방사문제의 수치해석)

  • Hong-G. Sung;Hang-S. Choi
    • Journal of the Society of Naval Architects of Korea
    • /
    • v.37 no.1
    • /
    • pp.67-81
    • /
    • 2000
  • An accurate and efficient numerical method for two-dimensional nonlinear radiation problem has been developed. The wave motion due to a moving body is described by the assumption of ideal fluid flow, and the governing Laplace equation can be effectively solved by the higher-order boundary element method with the help of the GMRES (Generalized Minimal RESidual) algorithm. The intersection or corner problem is resolved by utilizing the so-called discontinuous elements. The implicit trapezoidal rule is used in updating solutions at new time steps by considering stability and accuracy. Traveling waves caused by the oscillating body are absorbed downstream by the damping zone technique. It is demonstrated that the present method for time marching and radiation condition works efficiently for nonlinear radiation problem. To avoid the numerical instability enhanced by the local gathering of grid points, the regriding technique is employed so that all the grids on the free surface may be distributed with an equal distance. This makes it possible to reduce time interval and improve numerical stability. Special attention is paid to the local flow around the body during time integration. The nonlinear radiation force is calculated by the "acceleration potential technique". Present results show good agreement with other numerical computations and experiments.

  • PDF

A Study of Numerical Method for Analysis of the 3-Dimensional Nonlinear Wave-Making Problems (3차원 비선형 조파문제 해석을 위한 수치해법 연구)

  • Ha, Y.R.;An, N.H.
    • Journal of Power System Engineering
    • /
    • v.16 no.5
    • /
    • pp.40-46
    • /
    • 2012
  • For free surface flow problem, a high-order spectral/boundary element method is adapted as an efficient numerical tool. This method is one of the most efficient numerical methods by which the nonlinear gravity waves can be simulated and hydrodynamic forces also can be calculated in time domain. In this method, the velocity potential is expressed as the sum of surface potential and body potential. Then, surface potential is solved by using the high-order spectral method and body potential is solved by using the high-order boundary element method. Using the combination of these two methods, the free surface flow problems of a submerged moving body are solved in time domain. In the present study, lifting surface theory is added to the former work to include effects of lift force. Therefore, a new formulation for the basic mathematical theory is introduced to contain the lift body in calculation.