• 제목/요약/키워드: Proportional Damping

검색결과 146건 처리시간 0.029초

Dry friction losses in axially loaded cables

  • Huang, Xiaolun;Vinogradov, Oleg G.
    • Structural Engineering and Mechanics
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    • 제4권3호
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    • pp.330-344
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    • 1996
  • A model of a cable comprising interacting wires with dry friction forces at the interfaces is subjected to a quasi-static cyclic loading. The first cycle of this process, comprising of axial loading, unloading and reloading is investigated analytically. Explicit load-elongation relationships are obtained for all of the above phases of the cycle. An expression for the hysteretic losses is also obtained in an explicit form. It is shown that losses are proportional to the third power of the amplitude of the oscillating axial force, and are in inverse proportion to the interwire friction forces. The results obtained are used to introduce a model of a cable as a solid rod with an equivalent stiffness and damping properties of the rod material. It is shown that the stiffness of the equivalent rod is weakly nonlinear, whereas the viscous damping coefficient is proportional to the amplitude of the oscillation. Some numerical results illustrating the effect of cable parameters on the losses are given.

Lanczos 방법에 의한 비비례 감쇠 시스템의 고유치 해석 (Solution of Eigenproblems for Non-proportional Damping Systems by Lanczos Method)

  • 김만철;정형조;오주원;이인원
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1998년도 봄 학술발표회 논문집
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    • pp.283-290
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    • 1998
  • A solution method is presented to solve the eigenproblem arising in tile dynamic analysis of non-proportional damping systems with symmetric matrices. The method is based on tile use of Lanczos method to generate a Krylov subspace of trial vectors, witch is then used to reduce a large eigenvalue problem to a much smaller one. The method retains the η order quadratic eigenproblem, without the need to the method of matrix augmentation traditionally used to cast the problem as a linear eigenproblem of order 2n. In the process, the method preserves tile sparseness and symmetry of the system matrices and does not invoke complex arithmetics, therefore, making it very economical for use in solving large problems. Numerical results are presented to demonstrate the efficiency and accuracy of the method.

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Blind modal identification of output-only non-proportionally-damped structures by time-frequency complex independent component analysis

  • Nagarajaiah, Satish;Yang, Yongchao
    • Smart Structures and Systems
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    • 제15권1호
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    • pp.81-97
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    • 2015
  • Recently, a new output-only modal identification method based on time-frequency independent component analysis (ICA) has been developed by the authors and shown to be useful for even highly-damped structures. In many cases, it is of interest to identify the complex modes of structures with non-proportional damping. This study extends the time-frequency ICA based method to a complex ICA formulation for output-only modal identification of non-proportionally-damped structures. The connection is established between complex ICA model and the complex-valued modal expansion with sparse time-frequency representation, thereby blindly separating the measured structural responses into the complex mode matrix and complex-valued modal responses. Numerical simulation on a non-proportionally-damped system, laboratory experiment on a highly-damped three-story frame, and a real-world highly-damped base-isolated structure identification example demonstrate the capability of the time-frequency complex ICA method for identification of structures with complex modes in a straightforward and efficient manner.

Fe-17%Mn 합금의 진동감쇠능에 미치는 ε 마르텐사이트 함량과 진폭변형율의 영향 (Effect of ε Martensite Content and Strain Amplitude on Damping Capacity of Fe-17%Mn Alloy)

  • 전중환;이영국;최종술
    • 열처리공학회지
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    • 제9권2호
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    • pp.112-120
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    • 1996
  • The effects of ${\varepsilon}$ martensite content and strain amplitude on damping capacity of an Fe-17%Mn alloy have been studied to establish damping mechanism of Fe-Mn system corresponding to the magnitude of strain amplitude. In a range of $1{\times}10^{-4}{\sim}3{\times}10^{-4}$ strain amplitude, the damping capacity is linearly proportional to the ${\varepsilon}$ martensite content, which suggests that stacking faults and ${\varepsilon}$ martensite variant boundaries are the principal damping sources. In the range of $4{\times}10^{-4}{\sim}6{\times}10^{-4}$ strain amplitude, however, a maximum damping capacity is observed around 68 vol.% ${\varepsilon}$. This behavior is very similar to dependence of relative area of ${\gamma}/{\varepsilon}$ interface on ${\varepsilon}$ martensite content. This means that in this strain range, ${\gamma}/{\varepsilon}$ interface acts as damping source in addition to the stacking faults and variant boundaries in Fe-17%Mn alloy.

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다중 슬림형 감쇠장치의 개발 및 성능 실험 (Development of Multiple Slim Type Damper System and Performance Test)

  • 성은희;김다위;박두환;박관순;박장호;조해진
    • 한국안전학회지
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    • 제29권2호
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    • pp.31-37
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    • 2014
  • For the vibration control of residential buildings, a multiple type slim damper system is developed and dynamic performance test is performed in this study. In conventional damping systems, larger installation space is required in order to achieve acceptable seismic performance, and as a result, it is difficult to determine efficient damping capacity of the device. The proposed damping device is composed of several small slim type dampers and linkage units. It can control damping capacity easily by changing the number of the small damper. To evaluate the proposed damping device, three slim type dampers (single-type, triple-type and penta-type) are designed and manufactured in real scale. Dynamic loading tests are performed by using the three manufactured dampers. From the tests, it is shown that damping coefficient is proportional to the number of the damper combined. Thus, test results validates the practicality of the proposed slim type dampers. applying nonlinear curve fitting technique, numerical model of the dampers are developed and presented.

응답감쇠장치가 설치된 구조물의 등가감쇠비산정에 관한 일반적인 방법 (General Method of Equivalent Damping Ratio Evaluation of a Structure equipped with Response Dampers)

  • 민경원;이영철;이상현
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2002년도 춘계학술대회논문집
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    • pp.109-114
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    • 2002
  • The purpose of this study is to propose the general method for evaluating the equivalent damping ratios of a structure with supplemental response control dampers. We define Lyapunov function of which derivative can be expressed in autoregressive form and evaluate the equivalent damping ratios by using Lyapunov function and its derivative. This Lyapunov function may be called as generalized structural energy. In this study, it is assumed that the response of a structure is stationary random process and control dampers do not affect the modal shapes of a structure, and the structure has proportional damping. Proposed method can be used to get the equivalent damping ratios of a structure with non-linear control dampers such as friction dampers as well as linear control dampers. To show the effectiveness of the proposed method. we evaluate the equivalent damping ratios of a structure with viscous dampers. AMDs. and friction dampers. The equivalent damping ratios from proposed method are compared to those from eigenvalue analysis for linear control dampers. and those from time history analysis for non-linear control dampers. respectively.

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점탄성 감쇠기를 설치한 건물의 모드해석 (Modal Analysis of a Building with Viscoelastic Dampers)

  • 김진구;민경원
    • 전산구조공학
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    • 제11권1호
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    • pp.171-178
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    • 1998
  • 점탄성감쇠기가 장치된 건물은 감쇠력과 강성이 증가하며 부가되는 감쇠력에 의하여 비고전적 감쇠시스템이 된다. 이러한 경우 비감쇠시스템에서 구한 고유값을 이용하여 감쇠행렬을 대각행렬로 변환할 수 없으므로 일반적으로 운동방정식을 2n크기 행렬의 1차 미분방정식 형태로 변환하여 해석하게 된다. 이러한 방법은 일반적인 고전적 감쇠시스템에 비해 복잡하므로 감쇠행렬의 비대각항을 무시하고 해석하는 방법이 이용되기도 한다. 본 논문에서는 이러한 근사적인 방법의 타당성과 이론적 근거를 검증하고 정해와 근사해법을 이용하여 3층 전단건물의 진동특성을 구하여 비교하였다. 결과에 따르면 부가되는 감쇠력이 작을 때는 근사해와 정해가 매우 근접하나 감쇠력이 커질수록 그 오차가 커지는 것으로 나타났다.

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기울기 방법을 이용한 시분할 PI 전력계통 안정화 장치 (Time Division Proportional-Integral Power System Stabilizer Using The Gradiant Method)

  • 정해원;백영식
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1997년도 하계학술대회 논문집 D
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    • pp.900-902
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    • 1997
  • Stabilization of Power systems is investigated using a proportional-integral power system stabilizer(PI PSS). Time division PI PSS is examined in this paper. Two approaches are presented for determining the optimal stabilizer gains of the proposed PI PSS. Simulation results show that the proposed PI PSS yields better system dynamic performance and stability than the sub-optimal stabilizer in the sense of having greater damping in response to a step disturbance.

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변위비례식 마찰댐퍼 시스템의 진동해석 (Vibration Analysis of an Amplitude Proportional Friction Damper System)

  • 박동훈;최명진
    • 한국정밀공학회지
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    • 제20권5호
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    • pp.171-179
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    • 2003
  • An Amplitude Proportional Friction Damper (APFD) is considered in order to improve the characteristics of Coulomb friction damper. The frictional force is proportional to the amplitude in APFD system and the system is non-linear as is Coulomb damper system. A free vibration analysis on the 1-DOF system has made to demonstrate the characteristics of the APFD system. The results show that APFD system has similar damping characteristics to the viscous damper. Also, the solution for the response of a base-excited system with APFD is developed through the application of a Fourier series to represent the frictional force of APFD. It is assumed that no stick-slips occur during any portion of the steady-state oscillation.

변위비례식 마찰댐퍼의 특성에 관한 연구 (A Study on the Characteristics of an Amplitude Proportional Friction Damper)

  • 박동훈;최명진
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2002년도 추계학술대회 논문집
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    • pp.717-720
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    • 2002
  • An Amplitude Proportional Friction Damper (APFD) system is considered in order to improve the stick-slip characteristics of Coulomb friction damper. The frictional force is proportional to the amplitude in APFD system and the system is non-linear as is Coulomb damper system. The free vibration analysis on an 1-DOF system has conducted to demonstrate the characteristics of the APFD system and the results show that the APFD system has similar damping characteristics to the viscous damper system. It is concluded that the APFD system may become a cost effective substitution for the viscous damper and it also has certain advantages over Coulomb damper system since the APFD system can be designed to work with no stick-slip.

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