• Title/Summary/Keyword: 유도 자유 변위

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Identification of Viscous and Friction Damping Using Free Vibration Response to SDOF System (단자유도계의 자유진동응답을 이용한 점성 및 마찰감쇠의 식별)

  • Lee, Sung-Kyung;Lee, Woong-Gu
    • The Journal of the Convergence on Culture Technology
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    • v.5 no.3
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    • pp.305-310
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    • 2019
  • This paper proposes the method of exactly identifying both viscous and friction damping from free vibration response to SDOF structure. Both displacement and acceleration free vibration responses to SDOF system, in which both viscous and friction damping are considered as its damping mechanism, are discussed to verify the proposed method. The relationship for identifying both viscous and friction damping is derived from two consecutive amplitudes of displacement or acceleration peak response. The proposed method is verified through the numerical simulation for an assumed SDOF system consisting of mass, both viscous and friction damping and spring components.

Equivalent Damping Ratio of a SDOF Structure Combined with Coulomb and Viscous Damping (점성 및 마찰감쇠가 있는 단자유도 구조물의 등가감쇠비)

  • Seong, Ji-Young-Suck;Min, Kyung-Won
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2010.04a
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    • pp.449-453
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    • 2010
  • 본 논문에서는 점성 및 감쇠가 있는 단자유도 구조물의 등가감쇠비를 효율적으로 구하는 방법을 제시하였다. 건물에 설치된 마찰감쇠기는 외력의 크기에 따라 정지와 운동의 상태를 반복하여 외부 입력에너지를 소산시키기 때문에 외력과 응답관계가 비선형이다. 마찰감쇠기가 설치된 단자유도 건물은 마찰감쇠기외에 점성감쇠가 동시에 존재하므로 해석적인 정해를 구하기가 어렵다. 등가감쇠비를 산정하기 위해서 첫째, 점성과 마찰감쇠가 있는 단자유도계 건물의 자유진동 정해를 통하여 변위응답과 가속도 응답특성을 분석하였다. 둘째, 자유진동의 경우 응답이 멈출 때까지 소산에너지식을 이용하여 등가점성감쇠비를 구하였다. 셋째, 조화가진 일 때는 수치해석을 통하여 마찰력비 $F_r$에 따른 응답 특성을 알아보았다. 넷째, 조화가진의 경우 에너지 균형식을 바탕으로 등가점성감쇠비를 유도하였다. 등가점성감쇠비는 변위응답비의 영향을 받으므로 응답을 알아야만 구할 수 있다. 건물 응답의 진동수 특성은 협소영역(narrow band)이므로 고유진동수에 의해 지배된다고 가정하여 등가점성감쇠비를 구하였다. 마지막으로, 유도한 자유진동과 조화가진의 등 가점성감쇠비를 이용한 등가선형운동방정식의 해를 비선형 수치해석 한 결과와 비교하여 검증하였다.

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Direct Control of Displacement Using Displacement and Resistance Force Contribution Factor (변위 및 내력기여도계수를 이용한 정량적 변위 제어)

  • Kim, Young-Min;Kim, Chee-Kyeong
    • Journal of Korean Association for Spatial Structures
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    • v.5 no.3 s.17
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    • pp.91-100
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    • 2005
  • The paper presents a direct method for the diplacement control and stiffness redesign using displacement and response force contribution factors. At first, these two kinds of factors are derived and the relationship between them is examined. An equation to evaluate the change of displacement according to the change of each member stiffness is proposed. For the statically determinate structures, the proposed equation gives the exact solution with no approximation. But it has some error in case of statically indeterminate structures because the redistribution of response forces is neglected in the equation. However, the equation may be very useful even for statically indeterminate structures because it provides the relationship between the member stiffness and the global displacement. The proposed method is expected to be useful for the displacement control of large space or hi-rise building structures where the stiffness design governs the design result.

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Three Dimensional Dynamic Interaction Analysis of Actively Controlled High Speed Maglev-Guideway Structure (초고속 자기부상열차의 열차-가이드웨이 3차원 상호작용 해석)

  • Min, Dong-Ju;Jung, Myung-Rag;Kim, Hae-Ne-Rae;Kim, Moon-Young
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2011.04a
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    • pp.727-730
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    • 2011
  • 본 논문에서는 3차원 자기부상열차에 대한 열차-가이드웨이 상호작용 해석기법을 제시하고자 한다. 수직 및 수평방향 변위, 피칭, 롤링 그리고 요잉에 대한 자유도를 각 보기와 차체에 대해 고려하여 총 25자 유도 자기부상열차에 대한 운동방정식을 유도하였다. 제어방식으로는 UTM01에 적용된 제어기법을 이용하였고, 궤도 틀림을 고려하기 위하여 미국 FRA에 적용하고 있는 궤도 불규칙성에 대한 밀도 스펙트럼 함수를 이용하여 조도를 생성하였다. 같은 조건하에 2차원 모델과 3차원 모델의 동적응답 결과를 비교하여 타당성을 확인하였고, 2차원 모델에서 고려할 수 없는 수평방향 조도를 도입하였을 때 수직방향 부상공극에는 두드러진 영향을 미치지 않았으나, 수평방향 부상변위에 있어서 중요하게 작용함을 확인하였다.

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Improved Nonconforming 8-node Solid Element with Rotational Degrees of Freedom (회전자유도를 갖는 비적합 8-절점 입체요소의 개선)

  • 최창근;정근영;이태열
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.13 no.4
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    • pp.475-484
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    • 2000
  • In this paper, new additional nonconforming modes for the improvement of bending behavior in the distorted 8 node hexahedral element and their effective modification method are studied. The rotational degrees of freedom are introduced by using a functional in which the rotations are independent variables. In an element formulation, the same interpolations are used in displacement and rotation fields, but nonconforming modes we applied only in displacement fields. To verify the developed element various numerical tests are carried out and test results show good behavior.

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Analysis of Shell Using the Spline Finite Strip with Drilling DOF (면내 회전을 갖는 SPLINE 유한대판 요소에 의한 쉘의 해석)

  • 최창근;홍현석
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.12 no.2
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    • pp.185-199
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    • 1999
  • 본 연구에서는 새로운 spline 유한대판 요소를 제안하였다. 제안된 정식화는 등매개 개념에 의해 기하학적 형상과 변위장을 가정함에 있어 길이방향은 3차의 B-spline 곡선으로, 횡방향에 대해서는 Lagrange 다항식에 의해 표현된다. 이 논문은 평판과 쉘해석에 있어서의 등매개 spline 유한대판 요소의 개선에 목적을 두고 있다. 이 새로운 요소는 스트립의 내부 절점에서 6개의 자유도를 갖는 합-응력 감절점 쉘 요소로부터 유도하였다. 스트립의 기하학적 형상은 강체 회전에 대한 정의에 위배되지 않고도 두께 방향을 따라 Jacobian이 일정하다는 가정을 따랐으며 고체역학에서 정의되는 면내 회전을 penalty 함수에 의한 구속조건으로 간주하여 면내 회전에 관계된 자유도를 생성하였다. 제안된 요소에 대하여 쉘의 전형적인 문제에 대한 수치예제를 보였으며 이 스트립 요소의 성능을 평가하였다.

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Free Vibration Analysis of Thin-walled Curved Beams with Unsymmetric Cross-section (비대칭 단면을 갖는 박벽 곡선보의 자유진동 해석)

  • 김문영
    • Journal of the Earthquake Engineering Society of Korea
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    • v.3 no.1
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    • pp.41-54
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    • 1999
  • For free vibration of non-symmetric thin-walled circular arches including restrained warping effect, the elastic strain and kinetic energy is derived by introducing displacement fields of circular arches in which all displacement parameters are defined at the centroid axis. The cubic Hermitian polynomials are utilized as shape functions for development of the curved thin-walled beam element having eight degrees of freedom. Analytical solution for in-plane free vibration behaviors of simply supported thin-walled curved beams with monosymmetric cross-sections is newly derived. Also, a finite element formulation using two noded curved beams element is presented by evaluating elastic stiffness and mass matrices. In order to illustrate the accuracy and practical usefulness of this study, analytical and numerical solutions for free vibration of circular arches are presented and compared with solutions analyzed by the straight beam element and the ABAQUS's shell element.

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A Four-node General Shell Element with Drilling DOFs (면내회전자유도를 갖는 4절점 곡면 쉘요소)

  • Chung, Keun-Young;Kim, Jae-Min;Lee, Eun-Haeng
    • Journal of the Earthquake Engineering Society of Korea
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    • v.16 no.4
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    • pp.37-52
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    • 2012
  • In this study, a new 4-node general shell element with 6 DOFs per node is presented. Drilling rotational degrees of freedom are introduced by the variational principle with an independent rotation field. In formulation of the element, substitute transverse shear strain fields are used to avoid shear locking, while four nonconforming modes are applied in the in-plane displacement fields as a remedy for membrane locking. In addition, a direct modification method for nonconforming modes is employed in the numerical implementation of nonconforming modes to represent constant strain states. A 9-points integration rule is adopted for volume integration in the computation of the element stiffness matrix. With the combined use of these techniques, the developed shell element has no spurious zero energy modes, and can represent a constant strain state. Several numerical tests are carried out to evaluate the performance of the new element developed. The test results show that the behavior of the elements is satisfactory.

An Analytical Study of Regular Waves Generated by Bottom Wave Makers in a 3-Dimensional Wave Basin (3차원 조파수조에서 바닥 조파장치에 의해 재현된 규칙파에 대한 해석적 연구)

  • Jung, Jae-Sang;Lee, Changhoon
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.34 no.4
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    • pp.93-99
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    • 2022
  • Analytical solutions for regular waves generated by bottom wave makers in a 3-dimensional wave basin were derived in this study. Bottom wave makers which have triangular, rectangular and combination of two shapes were adopted. The 3-dimensional velocity potential was derived based on the linear wave theory with the bottom moving boundary condition, kinematic and dynamic free surface boundary conditions in a wave basin. Then, analytical solutions of 3-dimensional particle velocities and free surface displacement were derived from the velocity potential. The solutions showed physically valid results for regular waves generated by bottom wave makers in a wave basin. The analytical solution for obliquely propagating wave generation from bottom wave maker which works like a snake was also derived. Numerical results of the solution agree well with theoretically predicted results.

Nonlinear Static Analysis for Seismic Performance Evaluation of Multi-Span Bridges Considering Effect of Equivalent SDOF Methods (등가단자유도 방법의 영향을 고려한 다경간 교량의 내진성능 평가를 위한 비탄성 정적해석)

  • Song, Jong-Keol;Nam, Wang-Hyun;Chung, Yeong-Hwa
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.26 no.3A
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    • pp.473-484
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    • 2006
  • The capacity spectrum method (CSM) can be used to simply estimate the maximum displacement response of the nonlinear structures. To evaluate seismic performance of multi-span bridges using the CSM, the representative response for structural system should be derived from the multi-degree-of-freedom (MDOF) responses by using the equivalent single-degree-of-freedom (ESDOF) method. The ESDOF method is used to calculate the capacity curve of the structural system from the pushover curves of all piers or structural members estimated by the pushover analysis. In order to evaluate an accuracy of ESDOF methods used in the CSM, the maximum displacements estimated by the CSM incorporating the several ESDOF methods are compared to those by the inelastic time-history analysis for several artificial earthquakes corresponding to the design spectrum.