• 제목/요약/키워드: Equivalent Complex Stiffness

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유연도 영향계수법을 이용한 접촉결합부가 있는 복합구조물의 동적 해석 (Structural Dynamics Analysis of a Clamp Jointed Complex Ream by Using the Flexibility Influence Coefficient Method)

  • 조재혁;김현욱;최영휴
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1995년도 추계학술대회 논문집
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    • pp.528-533
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    • 1995
  • An analyical method is proposed to construct a clamp jointed structure as an equivalent stiffness matrix element in the finite element modal analysis of a complex beam structure. Static structural analysis was first made for the detail finite element model of the clamp joint. Utilizing the results of this analysis, the equivalent stiffness matrix element was buildup by using the flexibility influence coefficient method and Guyan condensation. The proposed method was applied to finite element modal analysis of a clamp jointed cantilever beam. And the finite element analysis results were compared to those experimental modal analysis. Comparison shows doog agreement each other Furthermore the effects of normal contact(or clamping) load on the equivalent stiffness matrix was also examined. The equivalent stiffness matrix showed little change in spite of the remakable increase in the contact load on the clamp joint.

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Dynamic properties of a building with viscous dampers in non-proportional arrangement

  • Suarez, Luis E.;Gaviria, Carlos A.
    • Structural Engineering and Mechanics
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    • 제55권6호
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    • pp.1241-1260
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    • 2015
  • Any rational approach to define the configuration and size of viscous fluid dampers in a structure should be based on the dynamic properties of the system with the dampers. In this paper we propose an alternative representation of the complex eigenvalues of multi degree of freedom systems with dampers to calculate new equivalent natural frequencies. Analytical expressions for the dynamic properties of a two-story building model with a linear viscous damper in the first floor (i.e. with a non-proportional damping matrix) are derived. The formulas permit to obtain the equivalent damping ratios and equivalent natural frequencies for all the modes as a function of the mass, stiffness and damping coefficient for underdamped and overdamped systems. It is shown that the commonly used formula to define the equivalent natural frequency is not applicable for this type of system and for others where the damping matrix is not proportional to the mass matrix, stiffness matrix or both. Moreover, the new expressions for the equivalent natural frequencies expose a novel phenomenon; the use of viscous fluid dampers can modify the vibration frequencies of the structure. The significance of the new equivalent natural frequencies is expounded by means of a simulated free vibration test. The proposed approach may offer a new perspective to study the effect of viscous dampers on the dynamic properties of a structure.

진동파워를 이용한 다차원 진동절연계 해석시 절연요소의 파동효과를 고려한 등가강성화 (Equivalent Stiffness Modeling of Isolators to Consider Wave Effects in Multi-dimensional Vibration Isolation Analysis, via Vibrational Power)

  • 최규상;이호정;김광준
    • 소음진동
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    • 제9권3호
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    • pp.517-524
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    • 1999
  • Mathematical formulas for multi-dimensional isolation analysis via vibrational power transmission can be derived in a rather simple form when the wave effects of the isolators are completely neglected. With increase of frequency range of interest, however, the wave effects play a very important role and hence cannot be neglected. The formulas get involved accordingly. In this study, a method of equivalent stiffness modeling of the isolators to include the wave effects is proposed in such a way that not only the complexity of the mathematical expressions but also that of experiments of necessity can be reduced. This method is illustratively applied to a two-dimensional vibration isolation system with nonrigid source and base structures.

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유연핀을 적용한 2.5MW급 풍력발전기용 기어박스의 동응답 해석 (Dynamic Response Analysis of 2.5MW Wind Turbine Gearbox with Flexible Pins)

  • 조진래;정기용
    • 한국전산구조공학회논문집
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    • 제29권1호
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    • pp.37-44
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    • 2016
  • 본 연구는 2.5MW급 풍력발전기용 기어박스의 동특성 분석에 관한 것으로서, 유연핀(flexible pin) 채용에 따른 유성기어축의 미스얼라인먼트(misalignment) 개선여부와 충격하중에 따른 기어박스의 동응답 특성을 유한요소해석을 통해 고찰하였다. 내부의 복잡한 기어시스템의 하중전달을 정확하게 그리고 효과적으로 반영하기 위해 치접촉을 등가 치강성계수를 갖는 스프링요소와 물림률을 이용하여 모델링하였다. 기어의 등가 치강성계수는 기어치에 대한 변형해석을 통해 계산하였으며, 동특성 분석을 위해 기어박스 입력단에 충격 토오크를 부과하였다. 수치실험을 통해 등가 치강성모델의 타당성을 검증하였으며, 양단 그리고 일단 고정축과의 상대 비교를 통해 유연핀 적용에 따른 유성기어축의 미스얼라인먼트 개선여부를 확인할 수 있었다.

Seismic equivalent linear response of a structure by considering soil-structure interaction: Analytical and numerical analysis

  • Maroua Lagaguine;Badreddine Sbartai
    • Structural Engineering and Mechanics
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    • 제87권2호
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    • pp.173-189
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    • 2023
  • For a given structural geometry, the stiffness and damping parameters of the soil and the dynamic response of the structure may change in the face of an equivalent linear soil behavior caused by a strong earthquake. Therefore, the influence of equivalent linear soil behavior on the impedance functions form and the seismic response of the soil-structure system has been investigated. Through the substructure method, the seismic response of the selected structure was obtained by an analytical formulation based on the dynamic equilibrium of the soil-structure system modeled by an analog model with three degrees of freedom. Also, the dynamic response of the soil-structure system for a nonlinear soil behavior and for the two types of impedance function forms was also analyzed by 2D finite element modeling using ABAQUS software. The numerical results were compared with those of the analytical solution. After the investigation, the effect of soil nonlinearity clearly showed the critical role of soil stiffness loss under strong shaking, which is more complex than the linear elastic soil behavior, where the energy dissipation depends on the seismic motion amplitude and its frequency, the impedance function types, the shear modulus reduction and the damping increase. Excellent agreement between finite element analysis and analytical results has been obtained due to the reasonable representation of the model.

유연복합재 구동축의 동특성에 관한 실험 분석 (Experimental Investigation Into the Dynamic Characteristics of Flexible Matrix Composite Driveshafts)

  • 신응수
    • 한국공작기계학회논문집
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    • 제15권2호
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    • pp.93-98
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    • 2006
  • This study provides a comprehensive experimental study on the dynamic characteristics of a flexible matrix composite(FMC) driveshaft. A primary objective is to verify the analytic results of the FMC drivetrain based on the equivalent complex modulus approach and the classical lamination theory. A test rig has been constructed, which consists of a FMC shaft, a foundation beam, bearings, external dampers and a driving motor. The frequency response functions and transient responses are obtained from the external excitation and the spin-up testings. It turns out that the analytic results are in good agreement with the experimental ones.

유연복합재 구동축의 동특성에 관한 실험 분석 (Experimental Investigation into the Dynamic Characteristics of Flexible Matrix Composite Driveshafts)

  • 신응수;임병수
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2005년도 추계학술대회논문집
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    • pp.123-126
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    • 2005
  • This study provides a comprehensive experimental study on the dynamic characteristics of a flexible matrix composite(FMC) driveshaft. A primary objective is to verify the analytic results of the FMC drivetrain based on the equivalent complex modulus approach and the classical lamination theory. A testrig has been constructed, which consists of a FMC shaft, a foundation beam, bearings, external dampers and a driving motor. The frequency response functions and transient responses are obtained from the external excitation and the spinup testings. It turns out that the analytic results are in good agreement with the experimental ones.

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마찰감쇠기-가새 시스템의 확률분포 기반 등가선형화에 관한 실험적 연구 (Experimental Study on the Probability-based Equivalent Linearization of a Friction Damper-Brace System)

  • 강경수;박지훈
    • 한국소음진동공학회논문집
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    • 제16권4호
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    • pp.394-403
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    • 2006
  • A new equivalent linearization technique is proposed for a friction damper-brace system (FDBS) idealized as a elastoplastic system. The equivalent linearization technique utilizes secant stiffness and dissipated energy defined by the probability distribution of the extremal displacement of the FDBS. In addition, a conversion scheme is proposed so that an equivalent linear system is designed first and converted to the FDBS. For comparative study, an existing model update technique based on system identification is modified in a form appropriate to update single element. For the purpose of verification, shaking table tests of a small scale three-story shear building model, in which a rotational FDBS is installed, are conducted and equivalent linear systems are obtained using the proposed technique and the model update technique. Complex eigenvalue analysis is conducted for those equivalent linear systems, and the natural frequencies and modal damping ratios are compared with those obtained from system identification. Additionally, RMS and peak responses obtained from time history analysis of the equivalent linear systems are compared with measured ones.

등가모델링기법을 이용한 5MW급 부유식 해상용 풍력발전기 구조동역학해석 (Structural Dynamics Analyses of a 5MW Floating Offshore Wind-Turbine Using Equivalent Modeling Technique)

  • 김명환;김동현;김동환;김봉영
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2011년도 추계학술대회 논문집
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    • pp.614-622
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    • 2011
  • In this study, the computational structural dynamic modeling of floating offshore wind turbine system is presented using efficient equivalent modeling technique. Structural dynamic behaviors of the offshore floating platform with 5MW wind turbine system have been analyzed using computational multi-body dynamics based on the finite element method. The considered platform configuration of the present offshore wind turbine model is the typical spar-buoy type. Equivalent stiffness and damping properties of the floating platform were extracted from the results of the baseline model. Dynamic responses for the floating wind turbine models are presented and compared to investigate its structural dynamic characteristics. It is important shown that the results of the present equivalent modeling technique show good and reasonable agreements with those by the fully coupled analysis considering complex floating body dynamics.

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Design formulas for vibration control of taut cables using passive MR dampers

  • Duan, Yuanfeng;Ni, Yi-Qing;Zhang, Hongmei;Spencer, Billie.F. Jr.;Ko, Jan-Ming;Fang, Yi
    • Smart Structures and Systems
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    • 제23권6호
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    • pp.521-536
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    • 2019
  • Using magnetorheological (MR) dampers in multiswitch open-loop control mode has been shown to be cost-effective for cable vibration mitigation. In this paper, a method for analyzing the damping performance of taut cables incorporating MR dampers in open-loop control mode is developed considering the effects of damping coefficient, damper stiffness, damper mass, and stiffness of the damper support. Making use of a three-element model of MR dampers and complex modal analysis, both numerical and asymptotic solutions are obtained. An analytical expression is obtained from the asymptotic solution to evaluate the equivalent damping ratio of the cable-damper system in the open-loop control mode. The individual and combined effects of the damping coefficient, damper stiffness, damper mass and stiffness of damper support on vibration control effectiveness are investigated in detail. The main thrust of the present study is to derive a general formula explicitly relating the normalized system damping ratio and the normalized damper parameters in consideration of all concerned effects, which can be easily used for the design of MR dampers to achieve optimal open-loop vibration control of taut cables.