• 제목/요약/키워드: SDOF model

검색결과 78건 처리시간 0.024초

Closed-form optimum tuning formulas for passive Tuned Mass Dampers under benchmark excitations

  • Salvi, Jonathan;Rizzi, Egidio
    • Smart Structures and Systems
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    • 제17권2호
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    • pp.231-256
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    • 2016
  • This study concerns the derivation of optimum tuning formulas for a passive Tuned Mass Damper (TMD) device, for the case of benchmark ideal excitations acting on a single-degree-of-freedom (SDOF) damped primary structure. The free TMD parameters are tuned first through a non-linear gradient-based optimisation algorithm, for the case of harmonic or white noise excitations, acting either as force on the SDOF primary structure or as base acceleration. The achieved optimum TMD parameters are successively interpolated according to appropriate analytical fitting proposals, by non-linear least squares, in order to produce simple and effective TMD tuning formulas. In particular, two fitting models are presented. The main proposal is composed of a simple polynomial relationship, refined within the fitting process, and constitutes the optimum choice. A second model refers to proper modifications of literature formulas for the case of an undamped primary structure. The results in terms of final (interpolated) optimum TMD parameters and of device effectiveness in reducing the structural dynamic response are finally displayed and discussed in detail, showing the wide and ready-to-use validity of the proposed optimisation procedure and achieved tuning formulas. Several post-tuning trials have been carried out as well on SDOF and MDOF shear-type frame buildings, by confirming the effective benefit provided by the proposed optimum TMD.

다층 비좌굴 가새골조와 등가 단자유도계의 에너지 요구량의 비교 (Comparison of Energy Demand in Multi-Story Buckling Restrained Braced Frame and Equivalent SDOF System)

  • 김진구;원영섭
    • 한국전산구조공학회논문집
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    • 제16권2호
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    • pp.173-182
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    • 2003
  • 비선형 정적해석 및 에너지를 이용한 설계방법에서는 구조물을 등가의 단자유도계로 치환하여 해석하는 것이 일반적이다. 본 연구에서는 지진하중에 의한 3층, 8층, 20층 철골 모멘트저항골조(MRF), 비좌굴 가새골조(BRBF)와 힌지접합 비좌굴 가새골조 (DTBF) 구조물의 에너지 요구량을 등가 단자유도계 시스템(ESDOF)의 에너지 요구량과 비교하여 등가단자유도계로 치환하는 방법의 타당성을 검토하였다 입력에너지와 이력에너지를 산정하기 위하여 연암 지반, 연약한 토사, 단층 근처의 지반에서 계측된 60개의 지진을 사용하였으며, 모드 질량계수가 0.8보다 작은 경우 ESDOF로 변환할 때 고차모드의 효과를 고려하였다. 연구결과에 따르면 3층과 8층 MRF와 DTBF에서의 이력에너지와 입력에너지는 ESDOF의 해석결과와 비교적 잘 일치하였다. 그러나 20층 BRBF에서는 ESDOF의 결과가 본 구조물의 결과를 과소평가하는 것으로 나타났다.

Application of WAK test to Identify Unstable Concrete Sleeper

  • Ngo, Vu Thanh;Park, Jaehak;Park, Seongbaek;Lim, Yujin
    • International Journal of Railway
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    • 제9권2호
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    • pp.46-49
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    • 2016
  • In this study a new detection technique based on WAK is introduced that can be used for identifying unstable concrete sleeper installed in ballast by triggering activated wave on the sleeper surface. If a gap exists immediately below the concrete sleeper, static stiffness can be lower than stable case's stiffness. The concrete sleeper is assumed as a single degree of freedom system (SDOF). The static stiffness K can be obtained by iteratively calculated mass (m), stiffness (k) and damping coefficient (c) of SDOF system. Those coefficients are used to specify the ballast condition such as a gap between the sleeper and ballast. Typical test results using a small sleeper model test are summarized and explained for proof of effectiveness of the WAK test for checking unstable condition of the sleeper.

등가 1자유도계에 의한 다자유도 비선형 지진응답 산정 (Evaluation of Inelastic Earthquake Response of MDOF System by Equivalent SDOF System)

  • 김부식;노필성;전대한;송호산
    • 한국공간구조학회논문집
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    • 제2권2호
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    • pp.45-49
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    • 2002
  • Current seismic design codes for building structures are based on the methods which can provide enough capacity to satisfy objected performance level and exactly evaluate the seismic performance of buildings. This paper is to suggest the method of inference of inelastic earthquake response obtained from MDOF system by equivalent SDOF system, and to prove the validity. The analysis results form simple model shows a good application possibility.

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제진장치가 설치된 구조물의 등가감쇠비 (Closed Form Formulas for Equivalent Damping Ratios of a Linear Structure Equipped with Damping Devices)

  • Hwang, Jae-Seung;Lee, Sang-Hyun;Min, Kyung-Won
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2002년도 가을 학술발표회 논문집
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    • pp.370-377
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    • 2002
  • Hwang et al (2001) proposed a new method for an evaluation of equivalent damping ratios of a linear structure with linear or nonlinear damping devices. This procedure has a disadvantage that it requires time history analysis for the whole system including damping devices, which may be troublesome for practical application. To tackle this problem closed form formulas for equivalent damping ratios are proposed in this study. It is assumed that the responses of MDOF system can be reproduced by an equivalent SDOF system which vibrates in a fundamental mode. The numerical analyses of a ten-story building equipped with linear viscous damper or active mass damper or friction damper show the effectiveness of equivalent SDOF model and closed form formulas.

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부가감쇠 장치가 설치된 구조물의 1차 모드 등가 감쇠비 산정 (Evaluation of the Equivalent First Modal Damping Ratio of a Structure with Additional Damping Devices)

  • Lee, Sang-Hyun;Min, Kyung-Won;Hwang, Jae-Seung;Lee, Young-Cheol
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2002년도 가을 학술발표회 논문집
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    • pp.459-466
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    • 2002
  • The purpose of this study is to propose a new method for evaluating equivalent damping ratios of a structure with supplemental damping devices to assess their control effect quantitatively. A MDOF system is transformed to an equivalent SDOF system based on the assumption that the first mode dominates structural response. Approximate closed-form formulas for the evaluation of the first damping ratio are presented for various damping devices. Through numerical analysis of a ten-story building equipped with damping devices, the effectiveness of equivalent SDOF model and closed form formulas are verified.

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Finite element modeling of reinforced and prestressed concrete panels under far-field blast loads using a smeared crack approach

  • Andac Lulec;Vahid Sadeghian;Frank J. Vecchio
    • Computers and Concrete
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    • 제33권6호
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    • pp.725-738
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    • 2024
  • This study presents a macro-modeling procedure for nonlinear finite element analysis of reinforced and prestressed concrete panels under blast loading. The analysis procedure treats cracked concrete as an orthotropic material based on a smeared rotating crack model within the context of total-load secant stiffness-based formulation. A direct time integration method compatible with the analysis formulation is adapted to solve the dynamic equation of motion. Considerations are made to account for strain rate effects. The analysis procedure is verified by modeling 14 blast tests from various sources reported in the literature including a blast simulation contest. The analysis results are compared against those obtained from experiments, simplified single-degree-of-freedom (SDOF) methods, and sophisticated hydrocodes. It is demonstrated that the smeared crack macro-modeling approach is a viable alternative analysis procedure that gives more information about the structural behavior than SDOF methods, but does not require detailed micro-modeling and extensive material characterization typically needed with hydrocodes.

트러스 구조물의 1 자유도 모형을 이용한 반능동 마찰 제어 방법의 과도 응답 저감 성능 비교 (Comparison of semi-active friction control method to reduce transient vibration using SDOF model of truss structure)

  • 박영민;김광준;오현웅
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2011년도 추계학술대회 논문집
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    • pp.59-63
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    • 2011
  • Friction damping is one of the attractive vibration control technique for space structures due to its simplicity and large damping capacity. However, passive approaches for friction damping have a limitation because energy is no longer dissipated at sticking. In order to overcome this problem, semi-active control methods to adjust normal force at frictional interface have been studied in previous researches. In this paper, two semi-active friction control method is compared by simulating SDOF model of truss structure. The first approach is on-off control to maximize rate of energy dissipation, whereas the second concept is variable friction force control to minimize amplitude ratio for each half period. The maximum friction force, control variable in on-off control method, is obtained to minimize 1% settling time, and is different from optimal friction force in passive control. Simulation results show that performance of on-off control is better than that of variable friction force control in terms of settling time and controlled friction force.

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고차 전이함수를 이용한 해양구조물 거동의 비선형도 결정 (Determination of the Degree of Nonlinearity in the Response of Offshore Structures Using Higher Order Transfer Functions)

  • 백인열
    • 한국해안해양공학회지
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    • 제7권1호
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    • pp.116-125
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    • 1995
  • 파하중과 해류하중을 받는 단일 자유도계를 동적 해석하여 비선형 거동을 나타냄을 보이고 고차의 비선형 전이함수를 포함한 모델을 적용하여 그 비선형 차수를 알아낸다. 먼저 구조물에 단일 정현파, 두 파의 합성파 그리고 불규칙파 하중을 차례로 가하면서 각 하중조건마다 세가지 비선형 요인의 효과를 조사한다. 이로부터 단일 자유도계의 공진주파수에서 파의 에너지는 존재하지 않지만 비선형 요인에 의해 응답 성분이 나타남을 보인다. 다음으로 Volterra 급수에 근거한 고차 전이함수(higher order transfer function)모델을 적용하여 유연한 단일 자유도계의 비선형 거동이 성공적으로 모델화됨을 보이며 또한 비선형성이 2차나 3차로 명백히 나타남을 보인다.

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비선형 시간 이력법에 의한 목조 가옥의 지진응답해석 (Seismic Response Analysis of Wood Structure Using Nonlinear Time History Method)

  • 김재관
    • 한국지진공학회:학술대회논문집
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    • 한국지진공학회 1998년도 춘계 학술발표회 논문집 Proceedings of EESK Conference-Spring 1998
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    • pp.212-219
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    • 1998
  • Dynamic analyses are performed for the wood structure modeled as a SDOF hysteretic system. The hysteresis model presented is a modified version of Takeda model. The comparison between the results of numerical simulation and the experimental results show good agreements in overall tendencies. The response of wood structure subjected to artificially generated earthquakes considering site effects is studied. It appears that the response is very strongly influenced by the intensity and the frequency contents of the ground motion.

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