• Title/Summary/Keyword: 비선형 마찰

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Equivalent Viscous Damping Ratio of a Friction Damper Installed in a SDOF Building (단자유도 건물에 설치된 마찰감쇠기의 등가점성감쇠비)

  • Seong, Ji-Young;Min, Kyung-Won
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.23 no.2
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    • pp.199-208
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    • 2010
  • A friction damper installed at a building shows nonlinear behavior since its stick and slip states are occurred repeatedly depending on the amplitude of external loadings to dissipate input energy. Friction damping is existed for the building with a friction damper. In additionally viscous one is inherently included. Therefore, the building installed in such combined damping is quite involved to find the analytical solution. In this study, first, displacement and acceleration characteristics are identified based on the exact solution for a single-degree-freedom building with a friction damper having both friction and viscous damping. Second, in free vibration, the equivalent viscous damping ratio is obtained by the energy dissipation. Third, numerical analysis is carried out to find response configuration with various friction force ratios. Fourth, corresponding equivalent viscous damping ratio is derived with the finding that the response reaches into steady-state for both friction and viscous damped structure. It is deduced using balance of input external energy and output dissipation energy for steady-state response. Finally, the equivalent viscous damping ratios of free or harmonic vibration are verified through nonlinear analysis.

An Analysis of Forced Vibration Response of a Cantilever Beam with a Dry Friction Damper (건마찰 감쇠기가 부착된 외팔보의 강제진동 응답 해석)

  • Go, Young-Jun;Kang, Byoung-Yong;Chang, Ho-Gyeong;Kim, Ye-Hyun
    • The Journal of the Acoustical Society of Korea
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    • v.15 no.2
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    • pp.33-39
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    • 1996
  • A theoretical study of the forced vibration response of a cantilevered beam with non-linear dry friction damping is analyzed by various slip displacements and force levels for the position coordinates of spring-mass-damper and external exciting force. A component mode analysis is carried out based on the constraint conditions and Lagrange multipliers to treat physical systems with non-linear damping. The analysis has shown that the basic phenomena observed for a simply supported beam with a dry friction damper attached are also observed for cantilevered beam.

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A Study on the Estimation and Application of Failure Coefficients of Rock (암석의 파괴조건계수 평가 및 적용성에 관한 연구)

  • 장명환;양형식
    • Geotechnical Engineering
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    • v.14 no.4
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    • pp.103-116
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    • 1998
  • To estimate pure shear strength, 150 sets of triaxial test data were analyzed. The proportional coefficient of shear strength($I_c$) at zero normal stress was nonlinearly decreased as failure coefficient m increases, while the internal friction $\phi_0$ at zero normal stress was nonlinearly increased. The ratio of shear strength $(c/\phi_0)$was inversely proportional to the ratio of the internal friction angles$(\phi/phi_0)$ The shear strength decreased as m increased, while internal friction angle increased. And uniaxial strength was proportional to $c,\phi$ Regression analysis showed that shear strength strongly affects m and $\sigma_c$ The proportional coefficient of shear strength was nonlinearly increased with RMR, while the internal friction angle $(\phi}$was linearly decreased.

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Experimental Identification of Nonlinear Parameters in Frequency Domain (주파수영역에서 비선형 연결부 매개변수의 실험적 규명)

  • 김원진;박윤식
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1993.04a
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    • pp.57-61
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    • 1993
  • 본 연구목적은 선형부분구조물과 그 부분구조물들을 결합하는 비선형연결부 로 이루어진 구조물을 해석하기 위해 비선형 연결부의 모델변화를 효과적으 로 규명하는데 있다. 제안된 방법은 시간영역에서만 계산이 가능하였던 힘- 상태 사상법을 주파수영역으로 확장함으로써, 전체구조물에서 선형부분구조 물들은 분리 해석이 가능하고, 시간영역의 많은 데이터를 줄일 수 있는 장점 이 있다. 제안된 방법의 타당성 및 장점을 검증하기 위해서 쿨롱마찰 비선형 특성을 갖는 두 가지의 구조물에 대하여 각각 실험적으로 연결부의 매개변 수를 규명하였다.

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Performance Analysis of Friction Pendulum System using PVDF/MgO Friction Material (PVDF/MgO 마찰재를 이용한 마찰면진장치의 성능 분석)

  • Kim, Sung-Jo;Kim, Ji-Su;Han, Tong-Seok
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.34 no.4
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    • pp.213-219
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    • 2021
  • Polytetrafluoroethylene (PTFE) is a commercialized friction material in friction pendulum systems used for earthquake hazard mitigation in structures, and it has excellent chemical resistance and frictional performance. However, PTFE has a relatively low wear resistance for the friction pendulum systems in service. As an alternative to PTFE, a cost-effective frictional material, polyvinylidene fluoride (PVDF) strengthened by magnesium oxide (MgO), with enhanced wear resistance performance is proposed in this study. The frictional performance of the developed PVDF/MgO was evaluated through experiments and compared with that of PTFE. Accordingly, a friction pendulum system was designed using the measured friction coefficient. The performance of this friction pendulum system was evaluated via nonlinear time history analyses of bridges. Subsequently, the plausibility of using PVDF/MgO as an alternative to PTFE as a friction material for friction pendulum systems was discussed.

마찰구동기구에 의한 초정밀위치 결정

  • 신영재;최대봉;이득우
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2001.10a
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    • pp.159-163
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    • 2001
  • 마찰구동은 다른 구동방식에 비하여 구조가 간단하고, 기계적인 정도를 얻기 쉬우며, 백래쉬 등에 기인하는 비선형 요소인 로스트모션이 없고 관성이 작아 구동력이 작은 이점이 있다. 그 반면에 접촉부에서 미끄럼이 발생하여 큰 구동력을 얻기 어렵고 마찰저항에 의하여 마멸이 생기는 결점이 지적되고 있다. 본 연구에서는 초정밀가공기용 위치결정기구로 마찰구동기구를 사용하기 위하여 위치 결정도에 관한 설계, 구동력의 설계 및 재료의 선택에 관하 여 분석하고 시작품을 제작하여 특성을 연구하였다.

Analysis of Contact Problem of Mating Gear Teeth Taking Account of Friction on the Involute Surface (마찰을 고려한 치차의 접촉 문제 해석)

  • 이대희;최동훈
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.13 no.6
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    • pp.1118-1127
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    • 1989
  • 본 연구에서는 두 치차사이의 접촉 문제를 해석하기 위하여 마찰을 고려한 수직 하중과 접선 하중이 동시에 작용하는 경우에서의 접촉 문제를 수식화하였다. 그리고 두개의 원통의 접촉으로 가정함이 없이 실제적인 인벌루우트 곡면간의 접촉 문제를 해석하기 위하여 유한 요소법을 사용하였으며 비선형 연립 방정식으로 수식화된 된 접촉 문제를 효과적으로 풀기 위하여 최적화 기법을 이용한 산법을 제시하였다. 이때 마찰을 고려한 치차의 접촉 문제 해석에 필요한 수직 압력 분포는 이 등에 의하여 이루어진 결과를 이용하였다. 제시한 산법에 의하여 마찰을 고려한 두 치차의 접촉 문제를 해석하여 치차 손상의 중요한 원인중의 하나인 피팅(pitting) 현상을 유발하는 실제적인 조건을 고려함으로써 자동화 및 정밀화 되어가는 기계의 중요한 부품으로서 치차의 정밀 설계를 하기 위한 정확한 자료를 제시하였다.

Equivalent Linear System Considering Earthquake Characteristics of MR damper installed in a SDOF (지진하중 특성을 고려한 단자유도 구조물에 설치된 MR감쇠장치의 등가선형시스템)

  • Moon, Byoung-Wooke-Ri;Min, Kyung-Won
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2010.04a
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    • pp.774-777
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    • 2010
  • 본 논문에서는 MR 감쇠기의 비선형 특성을 등가의 선형감쇠로 치환하기 위한 방법으로 Newmark와 Hall이 제안한 감쇠계수를 이용하였다. 응답스펙트럼의 감쇠율을 나타내는 감쇠기계수는 구조물의 최대변위를 이용하여 등가감쇠비를 추출할 수 있다는 장점을 가지고 있다. 하지만 이러한 응답스펙트럼은 구조물에 작용하는 지진하중의 특성에 따라 경향이 달라진다. 본 논문에서는 기존의 등가감쇠비 산정식을 수정하여 제안하고, 지진하중 특성에 따른 등가감쇠비의 변화를 살펴보았다. MR 감쇠기의 등가감쇠비는 가진하중과 최대마찰력의 비율에 따라 결정되며, 장주기 구조물의 경우 등가감쇠비가 감소한다. MR 감쇠기의 점성은 마찰감쇠와의 상호작용에 의해 단순한 산술합 이상의 감쇠비 증가 효과를 가진다.

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Analysis of Frictional Contact Problems of Nonlinearly Deformable Bodies by Using Contact Error Vector (접촉 오차 벡터를 이용한 비선형 변형체의 마찰접촉 해석)

  • Lee, Kisu;Kim, Bang-Won
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.13 no.3
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    • pp.305-319
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    • 2000
  • Numerical solution lot frictional contact problems of nonlinearly deformable bodies having large deformation is presented. The contact conditions on the possible contact points are expressed by using the contact error vector, and the iterative scheme is used to reduce the contact error vector monotonically toward zero. At each iteration the solution consists of two steps : The first step is to revise the contact force by using the contact error vector given by the previous geometry, and the second step is to compute the displacement and the contact error vector by solving the equilibrium equation with the contact force given at the first step. Convergence of the iterative scheme to the correct solution is analyzed, and the numerical simulations we performed with a rigid-plastic membrane and a nonlinear elastic beam.

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A Numerical Study on Nonlinear Flow in Porous Medium (다공성 매질에서 비선형 흐름에 대한 수치적 연구)

  • Jeong, Woo Chang
    • Proceedings of the Korea Water Resources Association Conference
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    • 2017.05a
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    • pp.384-384
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    • 2017
  • In this study, the numerical investigation of nonlinear flow in a porous medium was carried out. The applied numerical model is ANSYS CFX which is a three-dimensional fluid dynamic model, and the verification of this model was carried out by using the experimental data obtained from Mayer et al works(2011). The experimental and numerical results of velocity and Reynolds number-friction coefficient relationship show relatively a good agreement. Based on the experimental results, we analysed numerically the velocity and Reynolds number-friction coefficient relationship with the variation of permeability, dynamic viscosity and porosity and quantitatively the variation by applying the best curve fitting for each case.

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