• 제목/요약/키워드: State-space equations

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회전 디스크-스핀들, 액츄에이터와 지지구조의 유연성을 고려한 하드 디스크 드라이브의 고유 및 강제 진동 해석 (Free and Forced Vibration Analysis of a Hard Disk Drive Considering the Flexibility of Spinning Disk-Spindle, Actuator and Supporting Structure)

  • 서찬희;장건희;이호성
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2006년도 춘계학술대회논문집
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    • pp.660-665
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    • 2006
  • This paper presents a finite element method to analyze the free and forced vibration of a hard disk drive (HDD) considering the flexibility of a spinning disk-spindle with fluid dynamic bearings (FDBs), an actuator with pivot bearings, an air bearing between head-disk interface and the base with complicated geometry. Finite element equation of each component is consistently derived with the satisfaction of the geometric compatibility of the internal boundary between each component. The spinning disk, hub and FDBs are modeled by annular sector elements, beam elements and stiffness and damping elements, respectively. The actuator am, E-block, suspension and base plate are modeled by tetrahedral elements. The pivot bearing in the actuator and the air bearing between head-disk interfaces are modeled by the stiffness element with five degrees of freedom and the axial stiffness, respectively. A global matrix equation obtained by assembling the finite element equations of each substructure is transformed to a state-space matrix-vector equation, and both damped natural frequencies and modal damping ratios are calculated by solving the associated eigenvalue problem with the restarted Arnoldi iteration method. Modal and shock testing are performed to show that the proposed method well predicts the vibration characteristics of a HDD.

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심혈관 연속 시스템 모델의 DEVS/CS혼합 모델링 (DEVS/CS ( Discrete Event Specification System/continuous System) Combined Modeling of Cardiovascular Continuous System Model)

  • 전계록
    • 대한의용생체공학회:의공학회지
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    • 제16권4호
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    • pp.415-424
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    • 1995
  • Combined models, specified by two or more modeling formalisms, can represent a wide variety of complex systems. This paper describes a methodology for the development of combined models in two model types of discrete event and continuous process. The methodology is based on transformation of continuous state space into discrete one to homomorphically represent dynamics of continuous processes in discrete events. This paper proposes a formal structure which can combine model of the DES and the CS within a framework. The structure employs the DEVS formalism for the DES models and differential or polynomial equations for the CS models. To employ the proposed structure to specify a DEVS/CS combined model, a modeler needs to take the following steps. First, a modeler should identify events in the CS and transform the states of the CS into the DES. Second, a modular employs the formalism to specify the system as the DES. Finally, a moduler developes sub-models for the CS and continguos states of the DES and establishs one-to-one correspondence between the sub-models and such states. The proposed formal structre has been applied to develop a DEVS/CS combined model for the human cardiovascular system. For this, the cardiac cycle is partitioned into a set of phases based on events identified through observation. For each phase, a CS model has been developed and associated with the phase. To validate the DEVS/CS combined model developed, then simulate the model in the DEVSIM + + environment, which is a model simulation results with the results obtained from the CS model simulation using SPICE. The comparison shows that the DEVS/CS combined model adequately represents dynamics of the human heart system at each phase of cardiac cycle.

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Effects of ground motion frequency content on performance of isolated bridges with SSI

  • Neethu, B;Das, Diptesh;Garia, Siddharth
    • Earthquakes and Structures
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    • 제13권4호
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    • pp.353-363
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    • 2017
  • The present study considers a multi-span continuous bridge, isolated by lead rubber bearing (LRB). Dynamic soilstructure interaction (SSI) is modelled with the help of a simplified, sway-rocking model for different types of soil. It is well understood from the literature that SSI influences the structural responses and the isolator performance. However, the abovementioned effect of SSI also depends on the earthquake ground motion properties. It is very important to understand how the interaction between soil and structure varies with the earthquake ground motion characteristics but, as far as the knowledge of the authors go, no study has been carried out to investigate this effect. Therefore, the objectives of the present study are to investigate the influence of earthquake ground motion characteristics on: (a) the responses of a multi span bridge (isolated and non-isolated), (b) the performance of the isolator and, most importantly, (c) the soil-structure interaction. Statistical analyses are conducted by considering 14 earthquakes which are selected in such a way that they can be categorized into three frequency content groups according to their peak ground acceleration to peak ground velocity (PGA/PGV) ratio. Lumped mass model of the bridge is developed and time history analyses are carried out by solving the governing equations of motion in the state space form. The performance of the isolator is studied by comparing the responses of the bridge with those of the corresponding uncontrolled bridge (i.e., non-isolated bridge). On studying the effect of earthquake motions, it is observed that the earthquake ground motion characteristics affect the interaction between soil and structure in such a way that the responses decrease with increase in frequency content of the earthquake for all the types of soil considered. The reverse phenomenon is observed in case of the isolator performance where the control efficiencies increase with frequency content of earthquake.

교통하중에 대한 3차원 하이브리드 면진시스템의 수직 진동성능 평가 (Evaluation of Vertical Vibration Performance of Tridimensional Hybrid Isolation System for Traffic Loads)

  • 이용훈;이상현;허무원
    • 한국구조물진단유지관리공학회 논문집
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    • 제28권1호
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    • pp.70-81
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    • 2024
  • 본 연구에서는 진동원으로서 교통하중(고속열차)에 대해 수직 방진기능과 수평 면진기능을 조합한 3차원 하이브리드 면진시스템(Tridimensional Hybrid Isolation System, THIS)을 제안하였고, 고속열차 진동에 대한 THIS의 수직 진동 사용성 개선 효과를 해석적으로 평가하였다. 해석을 위하여 실제 16층의 공동주택을 상용구조해석프로그램의 고유치해석과 침실 바닥판에 대한 펄스 응답 분석을 통해 주요 진동모드를 식별하였고, 이 주요 진동 모드를 가지고 바닥판의 수평과 수직, 회전 자유도를 가지는 16개 층의 골조 모델을 제작하였다. 해석방법은 실제 고속철도가 통행할 때 철로와 인접한 구조물에서 계측한 가속도를 진동원으로 적용하고 THIS의 강성과 감쇠비를 변수로 상태-공간방정식을 이용하여 동적해석을 수행하였다. 그 결과, 기존 구조물의 수직 고유주기 대비 THIS의 수직 주기가 커질수록 층별 바닥판 응답이 저감되기 시작하는 임계 주기비가 다르고, 주기가 5배 이상(0.006 이하의 강성비)일 때 모든 바닥판의 가속도 수준이 비면진 대비 약 70% 이하로 감소하였다. 또한, THIS의 감쇠비에 대한 응답 제어에 미치는 영향이 매우 적은 것으로 나타났다. 마지막으로 THIS에 대한 수직 진동 사용성 개선 효과를 확인하기 위하여 비면진 구조물과 0.006의 강성비와 0.03의 감쇠비를 가지는 THIS가 적용된 구조물에 대하여 1층과 16층 바닥판 가속도를 AIJ, SCI, AISC 진동 사용성 기준에 따라 평가하였고, 기존에 주거지 사용성 기준을 만족하지 못한 데 반해, THIS 적용 후 주거지 사용성 기준을 모두 만족하는 것을 확인하였다.