• 제목/요약/키워드: equivalent linearization

검색결과 77건 처리시간 0.028초

다중 지진파 입력을 고려한 장대교량의 지진응답해석 (Earthquake Response Analysis of Long-Span Bridges with Multiple Input Motions)

  • 최준혁;최준성;이종세
    • 한국지진공학회:학술대회논문집
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    • 한국지진공학회 2003년도 추계 학술발표회논문집
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    • pp.376-383
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    • 2003
  • For more rational and economical seismic design of long span bridges, it is essential to include in the analysis the effects of multiple input motions and structural or soil nonlinearity which are not considered in the current design practice. In this paper, the effects of these factors on the seismic behavior of long span bridges are studied. First, for the effect of multiple input motions, we take into account the differences in arrival times of seismic waves. To consider nonlinear soil properties we utilize SHAKE which is based on the equivalent linearization method. As a numerical example, a cable-stayed bridge is modelled using the analytical procedures described above. It is shown from the results that the these factors influence the seismic response of the bridge significantly and should never be neglected in design.

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다중 시간법에 의한 선박 횡동요 응답의 통계적 특성 연구 (A Study on the Statistical Characteristics of Rolling Motion of Ships Using Multiple Time Scales)

  • 나윤철;권순홍;하동대
    • 대한조선학회논문집
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    • 제31권1호
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    • pp.102-110
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    • 1994
  • 본 연구를 통하여 협대역 랜덤 기진모멘트 스펙트럼으로 표현되는 횡동요 기진 모멘트를 받는 선박의 횡동요 응답의 통계적 특성을 다중 시간법을 이용하여 그 결과를 구하고, 이를 등가선형화법으로 얻어진 결과와 비교해 보았다. 계산 결과, 등가선형화법보다 다중 시간법을 이용한 결과가 훨씬 넓은 다중치 영역을 보여주는 것을 알 수 있었다. 그리고 시간 궤적에서 횡동요 기진 모멘트의 시뮬레이션과 선박의 횡동요 운동의 시뮬레이션을 수행하여 그 결과를 확인하였다.

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비백색 잡음을 입력으로 하는 비선형 시스템의 시뮬레이션 (Monte-Carlo Simulations of Nonlinear Systems to Non-White Excitation)

  • 김대웅;권순홍;하동대
    • 대한조선학회논문집
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    • 제31권2호
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    • pp.57-64
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    • 1994
  • 본 논문은 비선형 확률 미분 방정식의 시뮬레이션 기법을 다루었다. Monte-Carlo 해를 이 시뮬레이션 기법에 적용하였다. 이 방법은 불규칙 해상의 선박에 대한 비선형 횡요 운동을 해석하는데 적용하였다. 본 연구에서 제시한 방법의 유용성을 검증하기 위해서 시뮬레이션의 결과를 등가 선형화법과 등가 비선형화법의 결과와 비교하였다.

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Linearized analysis of the internal pressures for a two-compartment building with leakage

  • Yu, Xianfeng;Gu, Ming;Xie, Zhuangning
    • Wind and Structures
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    • 제28권2호
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    • pp.89-97
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    • 2019
  • The non-linear equations governing wind-induced internal pressures for a two-compartment building with background leakage are linearized based on some reasonable assumptions. The explicit admittance functions for both building compartments are derived, and the equivalent damping coefficients of the coupling internal pressure system are iteratively obtained. The RMS values of the internal pressure coefficients calculated from the non-linear equations and linearized equations are compared. Results indicate that the linearized equations generally have good calculation precision when the porosity ratio is less than 20%. Parameters are analyzed on the explicit admittance functions. Results show that the peaks of the internal pressure in the compartment without an external opening (Compartment 2) are higher than that in the compartment with an external opening (Compartment 1) at lower Helmholtz frequency. By contrast, the resonance peak of the internal pressure in compartment 2 is lower than that in compartment 1 at higher Helmholtz frequencies.

Adaptive State-of-Charge Estimation Method for an Aeronautical Lithium-ion Battery Pack Based on a Reduced Particle-unscented Kalman Filter

  • Wang, Shun-Li;Yu, Chun-Mei;Fernandez, Carlos;Chen, Ming-Jie;Li, Gui-Lin;Liu, Xiao-Han
    • Journal of Power Electronics
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    • 제18권4호
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    • pp.1127-1139
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    • 2018
  • A reduced particle-unscented Kalman filter estimation method, along with a splice-equivalent circuit model, is proposed for the state-of-charge estimation of an aeronautical lithium-ion battery pack. The linearization treatment is not required in this method and only a few sigma data points are used, which reduce the computational requirement of state-of-charge estimation. This method also improves the estimation covariance properties by introducing the equilibrium parameter state of balance for the aeronautical lithium-ion battery pack. In addition, the estimation performance is validated by the experimental results. The proposed state-of-charge estimation method exhibits a root-mean-square error value of 1.42% and a mean error value of 4.96%. This method is insensitive to the parameter variation of the splice-equivalent circuit model, and thus, it plays an important role in the popularization and application of the aeronautical lithium-ion battery pack.

말뚝계류식 부유체의 파랑제어 기능과 마찰감에 관한 연구 (Wave control fuction and friction damping of a pile-supported floating body)

  • 김헌태
    • 한국해양공학회지
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    • 제11권1호
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    • pp.65-73
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    • 1997
  • 본 연구는 부유식 파랑제어구조물의 계류방식을 말뚝계류식으로 하여 종래의 부유식 파랑제어구조물의 파랑제어기능을 보완하고, 친수성 구조물로 이용할 수 있는 다용도 구조물의 개발을 목표로 하고 있다. 본 연구에서는 부유체의 계류장치에 초기반력을 작용시킴으로써 발생하는 파랑제어 효과의 개선과 부유체의 동요제어 효과를 수치계산법을 통하여 논의하였다. 이 때 계류부에서 발생하는 비선형 마찰력을 선형모델화하는 이론을 전개한 다음 수치계산 및 실험값을 통하여 본 수치모델의 적용성에 관하여 논의한 결과 양호한 일치성을 보였다. 또한, 파랑제어 효과 및 부유체의 동요저감 효과를 동시에 만족할 수 있는 초기반력에 관하여 논의하였다.

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Performance enhancement of base-isolated structures on soft foundation based on smart material-inerter synergism

  • Feng Wang;Liyuan Cao;Chunxiang Li
    • Earthquakes and Structures
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    • 제27권1호
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    • pp.1-15
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    • 2024
  • In order to enhance the seismic performance of base-isolated structures on soft foundations, the hybrid system of base-isolated system (BIS) and shape memory alloy inerter (SMAI), referred to as BIS+SMAI, is for the first time here proposed. Considering the nonlinear hysteretic relationships of both the isolation layer and SMA, and soil-structure interaction (SSI), the equivalent linearized state space equation is established of the structure-BIS+SMAI system. The displacement variance based on the H2 norm is then formulated for the structure with BIS+SMAI. Employing the particle swarm optimization, the optimization design methodology of BIS+SMAI is presented in the frequency domain. The evolvement rules of BIS+SMAI in the effectiveness, robustness, SMA driving force, inertia force, stroke, and damping enhancement effect are revealed in the frequency domain through changing the inerter-mass ratio, structural height, aspect ratio, and relative stiffness ratio between the soil and structure. Meanwhile, the validation of BIS+SMAI is conducted using real earthquake records. Results demonstrate that BIS+SMAI can effectively reduce the isolation layer displacement. The inerter can significantly increase the hysteretic displacement of SMA and thus enhance its energy dissipation capacity, implying that BIS+SMAI has better effectiveness than BIS+SMA. Although BIS+SMAI and BIS+ tuned inerter damper (TID) have practically the same effectiveness, BIS+SMAI has the lower optimum damping, significantly smaller inertia force, and higher robustness to perturbations of the optimum parameters. Therefore, BIS+SMAI can be used as a more engineering realizable hybrid system for enhancing the performance of base-isolated structures in soft soil areas.

구조물의 확률론적 지진손상평가 (Probabilistic Seismic Damage Assessment of Structures)

  • 이성로;오병환
    • 대한토목학회논문집
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    • 제14권5호
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    • pp.1097-1104
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    • 1994
  • 구조물은 그 수명기간동안 여러 하중을 받게 되고 이로 인해 손상을 입을 수 있으며 때로는 극심한 외부하중에 대해 구조물이 제기능을 상실하거나 파괴에 도달하게 되므로 구조물 설계과정에서 이에 대한 안전성확보가 중요한 요건이 된다. 지진하중을 받는 철근 콘크리트 구조물은 비선형 이력거동을 하게 되며 심한손상을 받을 수 있다. 본 연구에서는 지진하중을 받는 구조물의 추계적 응답특성을 이용하여 손상에 대한 확률적 누적방법을 제안하고 지진하중에 대한 구조물의 손상상수준을 손상지수로서 표현하여 안전성평가에 이용하고자 하였다.

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정전기력을 이용한 미소기전 구동기의 고유치 변화 해석에 관한 연구 (Numerical Approach for Frequency-Shifting Analysis of Electrostatic Micro-Mechanial Actuator)

  • 이완술;권기찬;김봉규;조지현;윤성기
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 춘계학술대회논문집A
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    • pp.854-859
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    • 2001
  • An eigenvalue analysis of a tunable micro-mechanical actuator is presented. The actuator is modeled as a continuum structure. The eigenvalue modified by the tuning voltage is computed through the linearization of the relation between the electrostatic force and the displacement at the equilibrium. A staggered algorithm is employed to perform the coupled analysis of the electrostatic and elastic fields. The stiffness matrix of the actuator is modified at this equilibrium state. The displacement field is perturbed using an eigenmode profile of the actuator. The configuration change of the actuator due to perturbation modifies the electrostatic field and thus the electrostatic force. The equivalent stiffness matrix corresponding to the perturbation and the change in the electrostatic force is then added to stiffness matrix in order to explain natural frequency shifting. The numerical examples are presented and compared with the experiments in the literatures.

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Passive control of seismically excited structures by the liquid column vibration absorber

  • Konar, Tanmoy;Ghosh, Aparna Dey
    • Structural Engineering and Mechanics
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    • 제36권5호
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    • pp.561-573
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    • 2010
  • The potential of the liquid column vibration absorber (LCVA) as a seismic vibration control device for structures has been explored in this paper. In this work, the structure has been modeled as a linear, viscously damped single-degree-of-freedom (SDOF) system. The governing differential equations of motion for the damper liquid and for the coupled structure-LCVA system have been derived from dynamic equilibrium. The nonlinear orifice damping in the LCVA has been linearized by a stochastic equivalent linearization technique. A transfer function formulation for the structure-LCVA system has been presented. The design parameters of the LCVA have been identified and by applying the transfer function formulation the optimum combination of these parameters has been determined to obtain the most efficient control performance of the LCVA in terms of the reduction in the root-mean-square (r.m.s.) displacement response of the structure. The study has been carried out for an example structure subjected to base input characterized by a white noise power spectral density function (PSDF). The sensitivity of the performance of the LCVA to the coefficient of head loss and to the tuning ratio have also been examined and compared with that of the liquid column damper (LCD). Finally, a simulation study has been carried out with a recorded accelerogram, to demonstrate the effectiveness of the LCVA.