• 제목/요약/키워드: single degree of freedom (SDOF)

검색결과 118건 처리시간 0.016초

Beating phenomena in spacecraft sine testing and an attempt to include the sine sweep rate effect in the test-prediction

  • Nali, Pietro;Bettacchioli, Alain
    • Advances in aircraft and spacecraft science
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    • 제3권2호
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    • pp.197-209
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    • 2016
  • The Spacecraft (S/C) numerical sine test-predictions are usually performed through Finite Element Method (FEM) Frequency Response Analysis (FRA), that is the hypothesis of steady-state responses to harmonic excitation to the S/C base is made. In the test practice, the responses are transient and may be significantly different from those predicted through FRA. One of the most significant causes of discrepancy between prediction and test consists in the beating phenomena. After a brief overview of the topic, the typical causes of beating are described in the first part of the paper. Subsequently, focus is made on the sine sweep rate effect, which often leads to have beatings after the resonance of weakly damped modes. In this work, the approach illustrated in the literature for calculating the sine sweep rate effect in the case of Single-Degree-Of-Freedom (SDOF) oscillators is extended to Multi-Degrees-Of-Freedom (MDOF) systems, with the aim of increasing the accuracy of the numerical sine test-predictions. Assumptions and limitations of the proposed methodology are detailed along the paper. Several assessments with test results are discussed and commented.

단자유도 해석모델을 활용한 응답스펙트럼과 지진취약도 곡선과의 관계에 대한 연구 (A Study on the Relationship between Response Spectrum and Seismic Fragility Using Single Degree of Freedom System)

  • 박상기;조정래;조창백;이진혁;김동찬
    • 한국지진공학회논문집
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    • 제27권6호
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    • pp.245-252
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    • 2023
  • In general, the design response spectrum in seismic design codes is based on the mean-plus-one-standard deviation response spectrum to secure high safety. In this study, response spectrum analysis was performed using seismic wave records adopted in domestic horizontal design spectrum development studies, while three response spectra were calculated by combining the mean and standard deviation of the spectra. Seismic wave spectral matching generated seismic wave sets matching each response spectrum. Then, seismic fragility was performed by setting three damage levels using a single-degree-of-freedom system. A correlation analysis was performed using a comparative analysis of the change in the response spectrum and the seismic fragility concerning the three response spectra. Finally, in the case of the response spectrum considering the mean and standard deviation, like the design response spectrum, the earthquake load was relatively high, indicating that conservative design or high safety can be secured.

Development of a double-sliding friction damper (DSFD)

  • Shen, Shaodong;Pan, Peng;Sun, Jiangbo;Gong, Runhua;Wang, Haishen;Li, Wei
    • Smart Structures and Systems
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    • 제20권2호
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    • pp.151-162
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    • 2017
  • In practical engineering, the friction damper is a widely used energy dissipation device because of its large deformation capacity, stable energy dissipation capability, and cost effectiveness. While based on conventional friction dampers, the double-sliding friction damper (DSFD) being proposed is different in that it features two sliding friction forces, i.e., small and large sliding friction forces, rather than a single-sliding friction force of ordinary friction dampers. The DSFD starts to deform when the force sustained exceeds the small-sliding friction force, and stops deforming when the deformation reaches a certain value. If the force sustained exceeds the large sliding friction force, it continues to deform. Such a double-sliding behavior is expected to endow structures equipped with the DSFD better performance in both small and large earthquakes. The configuration and working mechanism of the DSFD is described and analyzed. Quasi-static loading tests and finite element analyses were conducted to investigate its hysteretic behavior. Finally, time history analysis of the single-degree-of-freedom (SDOF) and multi-degree-of-freedom (MDOF) systems were performed to investigate the seismic performance of DSFD-equipped structures. For the purpose of comparison, tests on systems equipped with conventional friction dampers were also performed. The proposed DSFD can be realized perfectly, and the DSFD-equipped structures provide better performances than those equipped with conventional friction dampers in terms of interstory drift and floor acceleration. In particular, for the MDOF system, the DSFD helps the structural system to have a uniform distributed interstory drift.

Structural response analysis in time and frequency domain considering both ductility and strain rate effects under uniform and multiple-support earthquake excitations

  • Liu, Guohuan;Lian, Jijian;Liang, Chao;Zhao, Mi
    • Earthquakes and Structures
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    • 제10권5호
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    • pp.989-1012
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    • 2016
  • The structural dynamic behavior and yield strength considering both ductility and strain rate effects are analyzed in this article. For the single-degree-of-freedom (SDOF) system, the relationship between the relative velocity and the strain rate response is deduced and the strain rate spectrum is presented. The ductility factor can be incorporated into the strain rate spectrum conveniently based on the constant-ductility velocity response spectrum. With the application of strain rate spectrum, it is convenient to consider the ductility and strain rate effects in engineering practice. The modal combination method, i.e., square root of the sum of the squares (SRSS) method, is employed to calculate the maximum strain rate of the elastoplastic multiple-degree-of-freedom (MDOF) system under uniform excitation. Considering the spatially varying ground motions, a new response spectrum method is developed by incorporating the ductility factor and strain rate into the conventional response spectrum method. In order to further analyze the effects of strain rate and ductility on structural dynamic behavior and yield strength, the cantilever beam (one-dimensional) and the triangular element (two-dimensional) are taken as numerical examples to calculate their seismic responses in time domain. Numerical results show that the permanent displacements with and without considering the strain rate effect are significantly different from each other. It is not only necessary in theory but also significant in engineering practice to take the ductility and strain rate effects into consideration.

지진하중을 받는 다층 건물에 설치된 마찰감쇠기 설계 (Design of Friction Dampers installed at a Multi-Story Building under Seismic Load)

  • 성지영;민경원
    • 한국전산구조공학회논문집
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    • 제24권4호
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    • pp.457-462
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    • 2011
  • 본 논문은 지진응답을 제어하기 위해 다층 건물에 설치된 마찰감쇠기의 간단한 설계절차를 제안하였다. 마찰감쇠기는 비선형성이 강하므로 마찰감쇠기가 설치된 건물의 제어효과를 파악하는 것은 어렵다. 마찰감쇠기의 제어력은 층간속도에 영향을 받으므로, 인접한 모드가 서로 연계된다. 따라서 응답은 공진일 때 안정상태응답으로 가정하여 유도하였다. 첫째로 지진하중에 대한 정해응답을 구하는 것은 불가능하므로 조화가진을 받을 때의 근사해를 유도하였다. 둘째, 다층 건물을 단자유도로 변환하기 위해서 모드해석이 수행되었다. 셋째, 근사해를 이용하여 등가감쇠비를 유도하였다. 그리고 등가감쇠비를 이용하여 응답감소계수를 제안하였다. 마지막으로, 마찰감쇠기의 마찰력을 응답감소계수에 의해 설계하고 설계된 감쇠기를 7개의 지진파를 통해 검증하였다. 비선형해석 결과가 제안된 절차의 유효성을 확인하였다.

3D FEM analysis of earthquake induced pounding responses between asymmetric buildings

  • Bi, Kaiming;Hao, Hong;Sun, Zhiguo
    • Earthquakes and Structures
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    • 제13권4호
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    • pp.377-386
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    • 2017
  • Earthquake-induced pounding damages to building structures were repeatedly observed in many previous major earthquakes. Extensive researches have been carried out in this field. Previous studies mainly focused on the regular shaped buildings and each building was normally simplified as a single-degree-of-freedom (SDOF) system or a multi-degree-of-freedom (MDOF) system by assuming the masses of the building lumped at the floor levels. The researches on the pounding responses between irregular asymmetric buildings are rare. For the asymmetric buildings subjected to earthquake loading, torsional vibration modes of the structures are excited, which in turn may significantly change the structural responses. Moreover, contact element was normally used to consider the pounding phenomenon in previous studies, which may result in inaccurate estimations of the structural responses since this method is based on the point-to-point pounding assumption with the predetermined pounding locations. In reality, poundings may take place between any locations. In other words, the pounding locations cannot be predefined. To more realistically consider the arbitrary poundings between asymmetric structures, detailed three-dimensional (3D) finite element models (FEM) and arbitrary pounding algorithm are necessary. This paper carries out numerical simulations on the pounding responses between a symmetric rectangular-shaped building and an asymmetric L-shaped building by using the explicit finite element code LS-DYNA. The detailed 3D FEMs are developed and arbitrary 3D pounding locations between these two buildings under bi-directional earthquake ground motions are investigated. Special attention is paid to the relative locations of two adjacent buildings. The influences of the left-and-right, fore-and-aft relative locations and separation gap between the two buildings on the pounding responses are systematically investigated.

등가단자유도 방법의 영향을 고려한 다경간 교량의 내진성능 평가를 위한 비탄성 정적해석 (Nonlinear Static Analysis for Seismic Performance Evaluation of Multi-Span Bridges Considering Effect of Equivalent SDOF Methods)

  • 송종걸;남왕현;정영화
    • 대한토목학회논문집
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    • 제26권3A호
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    • pp.473-484
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    • 2006
  • 역량스펙트럼 방법은 비선형 거동을 하는 구조물의 최대 변위응답을 간편하게 산정하는데 사용된다. 역량스펙트럼 방법을 사용하여 다경간 교량의 내진성능을 평가하기 위해서는 구조계를 대표하는 하나의 응답을 등가단자유도계 방법을 이용하여 다자유도 응답들로부터 유도하여야 한다. 등가단자유도 방법은 비탄성 정적해석에 의해 산정된 힘-변위 곡선들로부터 역량곡선을 계산하는데 사용된다. 역량스펙트럼 방법에 사용되는 등가단자유도 방법의 정확성을 평가하기 위하여, 몇 개의 등가단 자유도방법과 결합된 역량스펙트럼 방법에 의해 산정된 최대변위응답을 설계지진스펙트럼에 대응되는 인공지진을 사용한 비탄성 시간이력해석의 변위응답과 비교하였다.

해상풍력발전기 설치선박의 수정 동적증폭계수 추정식 (Modified Empirical Formula of Dynamic Amplification Factor for Wind Turbine Installation Vessel)

  • 마국열;박주신;이동훈;서정관
    • 해양환경안전학회지
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    • 제27권6호
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    • pp.846-855
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    • 2021
  • 최근 친환경, 신재생 에너지 수요에 따라서 해상풍력발전 분야는 빠른 성장세와 설비의 대형화에 따른 전용설치선박의 관련 기술개발이 요구되고 있다. 해상풍력설치선박(WTIV: Wind Turbine Installation Vessel)은 설치 작업 시 선체를 파도의 영향을 받지 않는 높이로 이동시키고 모든 환경하중은 레그가 담당한다. 특히 파랑하중은 불규칙파로 구성되어 있기 때문에, 정확한 동적응답특성을 파악하는 것은 아주 중요한 문제이다. 이러한 동적응답해석은 간이법의 하나인 단자유도법을 널리 활용하고 있으나, 불규칙 파를 고려하지 못하는 제약조건이 있다. 따라서 현재 설계 시 불규칙 파에 대한 시간영역 계산이 가능한 다자유도 계산법을 사용하고 있다. 그러나 다자유도 계산법에서 시간영역 해석은 정도 높은 계산 결과를 제공하지만, 데이터의 수렴도가 민감하고 복잡성에 있어 설계 시 어려움이 있다. 따라서 본 논문은 다양한 변수를 기준으로 한 시간영역 해석을 통하여 불규칙 파의 동적응답 특성을 표현 할 수 있는 동적증폭계수 추정식을 개발하였다. 기존 다자유도 모델 대비 계산시간 단축 및 정확도 확보를 확인하였다. 개발된 동적증폭계수 추정식은 WTIV 및 유사 구조물 설계에 활용이 가능할 것으로 판단된다.

Comparison of seismic behavior of long period SDOF systems mounted on friction isolators under near-field earthquakes

  • Loghman, Vahid;Khoshnoudian, Faramarz
    • Smart Structures and Systems
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    • 제16권4호
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    • pp.701-723
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    • 2015
  • Friction isolators are one of the most important types of bearings used to mitigate damages of earthquakes. The adaptive behavior of these isolators allows them to achieve multiple levels of performances and predictable seismic behavior during different earthquake hazard levels. There are three main types of friction isolators. The first generation with one sliding surface is known as Friction Pendulum System (FPS) isolators. The double concave friction pendulum (DCFP) with two sliding surfaces is an advanced form of FPS, and the third one, with fully adaptive behavior, is named as triple concave friction pendulum (TCFP). The current study has been conducted to investigate and compare seismic responses of these three types of isolators. The structure is idealized as a two-dimensional single degree of freedom (SDOF) resting on isolators. The coupled differential equations of motion are derived and solved using state space formulation. Seismic responses of isolated structures using each one of these isolators are investigated under seven near fault earthquake motions. The peak values of bearing displacement and base shear are studied employing the variation of essential parameters such as superstructure period, effective isolation period and effective damping of isolator. The results demonstrate a more efficient seismic behavior of TCFP isolator comparing to the other types of isolators. This efficiency depends on the selected effective isolation period as well as effective isolation damping. The investigation shows that increasing the effective isolation period or decreasing the effective isolation damping improves the seismic behavior of TCFP compared to the other isolators. The maximum difference in seismic responses, the base shear and the bearing displacement, for the TCFP isolator are calculated 26.8 and 13.4 percent less than the DCFP and FPS in effective isolation damping equal to10%, respectively.

Ductility demands of steel frames equipped with self-centring fuses under near-fault earthquake motions considering multiple yielding stages

  • Lu Deng;Min Zhu;Michael C.H. Yam;Ke Ke;Zhongfa Zhou;Zhonghua Liu
    • Structural Engineering and Mechanics
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    • 제86권5호
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    • pp.589-605
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    • 2023
  • This paper investigates the ductility demands of steel frames equipped with self-centring fuses under near-fault earthquake motions considering multiple yielding stages. The study is commenced by verifying a trilinear self-centring hysteretic model accounting for multiple yielding stages of steel frames equipped with self-centring fuses. Then, the seismic response of single-degree-of-freedom (SDOF) systems following the validated trilinear self-centring hysteretic law is examined by a parametric study using a near-fault earthquake ground motion database composed of 200 earthquake records as input excitations. Based on a statistical investigation of more than fifty-two (52) million inelastic spectral analyses, the effect of the post-yield stiffness ratios, energy dissipation coefficient and yielding displacement ratio on the mean ductility demand of the system is examined in detail. The analysis results indicate that the increase of post-yield stiffness ratios, energy dissipation coefficient and yielding displacement ratio reduces the ductility demands of the self-centring oscillators responding in multiple yielding stages. A set of empirical expressions for quantifying the ductility demands of trilinear self-centring hysteretic oscillators are developed using nonlinear regression analysis of the analysis result database. The proposed regression model may offer a practical tool for designers to estimate the ductility demand of a low-to-medium rise self-centring steel frame equipped with self-centring fuses progressing in the ultimate stage under near-fault earthquake motions in design and evaluation.