• Title/Summary/Keyword: 동적 경계조건

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Dynamic Analysis of the Multi-Span Beam on Elastic Foundation Part one : Natural Frequencies (탄성지반 위에 놓여있는 다지지 보의 동적해석 제1보 : 고유진동수)

  • Y.C. Kim;K.J. Choi
    • Journal of the Society of Naval Architects of Korea
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    • v.28 no.1
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    • pp.83-91
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    • 1991
  • In this paper the dynamic analysis of the multi-span beam on elastic foundation, which include discrete transnational and rotational springs, was performed. Furthermore, the effects of the intermediate supports were investigated. As a solution method, first the orthogonal polynomial functions which satisfy both the geometric and dynamic boundary conditions are obtained by imposing the orthogonality conditions. Then, the Galerkin's method is used to obtain the natural frequencies of the system. From numerical tests for various constraint and boundary conditions, it was found that the higher order orthogonal polynomial functions obtained by the present method can be used to get the accurate solution.

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Study on Buckling Instability of Expansion Tube using Finite Element Method (유한요소법을 이용한 팽창튜브의 좌굴불안전성에 관한 연구)

  • Choi, Won-Mok;Kwon, Tae-Su;Jung, Hyun-Sung
    • Journal of the Korean Society for Railway
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    • v.13 no.2
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    • pp.147-151
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    • 2010
  • Since the kinetic energy is dissipated through plastic deformation energy generated in expanding process of the tube by a die. In order to successfully absorb the kinetic energy there should be no buckling in the expansion tube during expanding process. The buckling instability of the expansion tubes is affected by the initial boundary conditions, tube thickness and length. In this study, the effects of the tube thickness except length and initial boundary condition on the buckling instability are studied using a finite element method. In addition, Analysis procedure for nonlinear post-buckling analysis of expansion tube is established. There are three kinds of finite element analysis procedures for buckling analysis of expansion tube, quasi-static analysis, linear buckling analysis and nonlinear post-buckling analysis. The effect of the geometry imperfections defined as linear superimposition of buckling modes is considered in the nonlinear post-buckling analysis. The results of finite element analysis indicate that the buckling load increase with increase of thickness of tube and geometry imperfection. Finial buckling shapes are changed with respect to the geometry imperfection.

The Tree-Dimensional Grid Generation of Arbitrary Body (임의물체 주위의 3차원 격자생성)

  • 맹주성;손병진
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.14 no.1
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    • pp.189-196
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    • 1990
  • In the present study, a new method of generating boundary-fitted coordinates systems controlled by control function is introduced. Application of the method to a three-dimensional simply-connected region is the demonstrated. The numerical grid generation has following feat ures, (a) The generated boundary fitted coordinates is well concentrated in near wall region and satisfied orthogonality, (b) The grid control function is fully automatic and well controlled in sharp convex boundary.

Effect of Rock Discontinuities on Dynamic Shear Stress Wave (암반 불연속면이 동적 전단응력파에 미치는 영향)

  • Son, Moorak
    • Journal of the Korean GEO-environmental Society
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    • v.19 no.12
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    • pp.25-32
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    • 2018
  • This paper investigates the effect of rock discontinuities on a shear stress wave that is induced by earthquake or blasting and provides the result of numerical parametric studies. The numerical tests of different conditions of rock and discontinuity have been carried out after confirming that the numerical approach is valid throughout a verification analysis from which the test results were compared with a theoretical solution. In-situ stress condition was considered as a rock condition and internal friction angle and cohesive value, which are the shear strength parameters, were considered as discontinuities condition. The joint inclination angle was also taken into account as a parameter. With the various conditions of different parameters, the test results showed that a shear stress wave propagating through a mass is highly influenced by the shear strength of discontinuities and the condition of joint inclination angle as well as in-situ stress. The study results indicate that when earthquake or blasting-induced dynamic loading propagates through a jointed rock mass or a stratified soil ground the effect of in-situ stress and discontinuities including a stratum boundary should be taken into account when evaluating the dynamic effect on nearby facilities and structures.

Storm Surge Inundation Modelling Considering Interactions among Surge-Tide-Riverine Flow (해일-조석-하천 상호작용을 고려한 폭풍해일범람 모델링)

  • Lee, Chilwoo;Son, Sangyoung
    • Proceedings of the Korea Water Resources Association Conference
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    • 2017.05a
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    • pp.147-147
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    • 2017
  • 본 연구에서는 2003년 태풍 'MAEMI'에 의해 피해를 가장 많이 입은 경남 마산시를 중심으로 폭풍해일 범람도를 작성하였다. 해양과 하천 하류부가 만나는 마산시에서는 해일, 조석, 하천을 동시에 고려해야 하므로 이에 대한 단계적 적용을 통해 범람 중첩효과를 검토하였다. 본 연구에 사용된 수치모델은 네덜란드 Deltares사에서 개발한 준3차원 해수유동 모델 Delft3D이다. Delft3D는 폭풍해일 이외 지진해일, 부유물 이송, 오염물 확산 등 다양한 분야에 적용 가능하며, 파랑, 조석력, 바람에 의한 전단력, 온도, 염도에 의한 밀도류, 대기압 변화, 조간대 모의 등 다양한 영향을 고려할 수 있다. 수치모의시 모델의 안정성과 효율성을 높이기 위해 다중격자기법을 사용(최소 25m 격자)하였으며, 수심 자료는 국토지리정보원 수치지도와 국립해양조사원 수치해도의 수평 수직적 통합을 통해 구성하였다. 태풍 'MAEMI'의 Best Track은 기상청에서 제공하는 3시간 간격의 중심기압, 풍속, 중심위치를 Holland's Model에 적용하여 계산하였다. 조석효과를 고려하기 위해 개방경계에서 TPXO 7.2를 사용한 분조값을 입력하였다. 또한 하천의 흐름을 효과적으로 구현하기 위해 하천 단면에서의 동적 수위경계조건(또는 유량경계조건)을 추가적으로 부여하였다. 수치해석결과, 마산 수위 관측소에서 관측된 태풍 'MAEMI'의 해일고와 유사한 결과가 산출되었다. 범람역 해석결과는 해일, 조석, 하천을 동시적으로 고려하였을 경우에 실제 침수흔적도인 마산시재해침수지도와 가장 유사한 결과를 보였다.

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Development of Impact Factor Response Spectrum based on Frequency Response of Both Ends-Fixed Beam for Application to Continuous Bridges (연속교 적용을 위한 양단고정지지 보의 진동수 기반 충격계수 응답스펙트럼 개발)

  • Roh, Hwasung;Lee, Huseok;Park, Kyung-Hoon
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.17 no.12
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    • pp.301-306
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    • 2016
  • In bridge performance assessments, a new load carrying capacity evaluation model of simple bridges was proposed, which is based on the developed simple support impact factor spectrum. In this paper, a conservative assumption that the inner span with the both ends fixed boundary condition is ideal for applying the impact factor response spectrum for continuous bridges. The impact factor response spectrum has been proposed based on this assumption. The response spectrum by comparing the numerical analysis result and actual measurement data verified the applicability. The analysis was loading the moving load of DB-24 in a six-span continuous bridge, which was the same as the actual measurement data, the dynamic response was measured in the fourth span. The frequency of the bridge was obtained by FFT on the acceleration response and the span-frequency of sample bridge was calculated by the frequency. The impact factor of the sample bridge was determined by applying the span-frequency of the bridge to the proposed response spectrum; it was similar to the result of comparing the actual measured impact factor. Therefore, the method using the impact factor response spectrum based on the frequency response of both ends-fixed beam was found to be applicable to an actual continuous bridge.

Nonlinear Liquid Sloshing Analysis in a Cylindrical Container by Arbitrary Lagrangian-Eulerian Approach (Arbitrary Lagrangian-Eulerian 기법에 의한 원통형 유체저장구조물 내부유체의 비선형 슬러싱 해석)

  • Kwon, Hyung-O;Cho, Kyung-Hwan;Kim, Moon-Kyum;Lim, Yun-Mook
    • Journal of the Earthquake Engineering Society of Korea
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    • v.9 no.2 s.42
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    • pp.71-80
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    • 2005
  • The solution to a liquid sloshing problem is challenge to the field of engineering. This is not only because the dynamic boundary condition at the free surface is nonlinear, but also because the position of the free surface varies with time in a manner not known a priori. Therefore, this nonlinear phenomenon, which is characterized by the oscillation of the unrestrained free surface of the fluid, is a difficult mathematical problem to solve numerically and analytically. In this study, three-dimensional boundary element method(BEM), which is based on the so-called an arbitrary Lagrangian-Eulerian(ALE) approach for the fluid flow problems with a free surface, was formulated to solve the behavior of the nonlinear free surface motion. An ALE-BEM has the advantage to track the free surface along any prescribed paths by using only one displacement variable, even for a three-dimensional problem. Also, some numerical examples were presented to demonstrate the validity and the applicability of the developed procedure.

Dependency of Dynamic Behavior of Circular Foundation on Ground and Foundation Characteristics (지반 및 원형기초의 특성이 기초의 동적거동에 미치는 영향)

  • Ahn, Jae-Hun
    • Journal of the Korean Society of Hazard Mitigation
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    • v.8 no.2
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    • pp.111-117
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    • 2008
  • The effect of characteristics of ground and circular foundation on the dynamic behavior of the foundation in vertical motion are considered using an approximated analytical solution and a finite element analysis with absorbing (consistent transmitting) boundary. The shear wave velocity of homogeneous ground affects the resonant frequency of the foundation much but has nothing to do with the maximum response amplitude at resonant frequency. The density in this case affects both the resonant frequency and the maximum response. The size and the mass of the circular foundation are related both to the resonant frequency and the maximum response. However, Poisson's ratio has very little effect on dynamic behavior of the foundation. When the ground is not homogeneous but has the layers, different formations of shear wave velocities would also change the maximum response at resonant frequency.

Nonlinear Dynamic Characteristics of Antisymmetric Laminated Shells (역대칭 적층쉘의 비선형 동적 특성에 관한 연구)

  • Park, Sung Jin;Mikami, Takashi;Kim, Young Jin
    • Journal of Korean Society of Steel Construction
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    • v.10 no.4 s.37
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    • pp.691-700
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    • 1998
  • Based on Von Karman-Donnell kinematic assumptions for laminated shells, the nonlinear vibration behaviour of antisymmetrically or asymmetrically laminated cross-ply circular cylindrical shells with clamped and simply-supported ends are studied by a multi-mode approach. A equation is formulated and satisfies the associated compatibility equation and all boundary conditions. The displacement function is assumed to take the form of the lowest linear vibration mode and to satisfy continuity of the circumferential displacement. The nonlinear vibration equation is derived by the Galerkin's method. And nonlinear frequency is obtained by using the harmonic balance method as a function of lamination parameters, material constants, aspect ratio and amplitude of vibration. The effect of initial imperfection is also included. Results of the non-linear vibration are presented for different amplitudes of initial imperfection and four sets of boundary conditions. Present results are compared well with existing analysis results.

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Development of Modification Coefficient for Nonlinear Single Degree of Freedom System Considering Plasticity Range for Structures Subjected to Blast Loads (폭발 하중을 받는 구조물의 소성 범위를 고려한 비선형 단자유도 시스템의 수정계수 개발)

  • Tae-Hun Lim;Seung-Hoon Lee;Han-Soo Kim
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.37 no.3
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    • pp.179-186
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    • 2024
  • In this paper, a modification coefficient for equivalent single degree of freedom (SDOF), considering the plasticity range of the member subjected to shock wave type of blast load, was developed. The modification coefficient for the equivalent SDOF was determined through comparison with the analysis of a multi-degree of freedom (MDOF) system. The parameters influencing the equivalent SDOF system analysis were chosen as the boundary conditions of the member and the ratio of the duration of blast load to the natural period of the member. The modification coefficient was calculated based on the elastic load-mass transformation factor. The modification coefficient curve was derived using an elliptical equation to ensure it exists between the upper and lower parameter bounds. Using the modification coefficient on examples with varying cross sections and boundary conditions reduced the SDOF analysis error rate from 15% to 3%. This study shows that using the modification coefficient significantly improves the accuracy of SDOF analysis. The modification coefficient proposed in this study can be used for blast analysis.