• 제목/요약/키워드: Resonant motion

검색결과 150건 처리시간 0.027초

RESONANT MOTION OF A PARTICLE ON AN AXISYMMETRIC CONTAINER SUBJECT TO HORIZONTAL EXCITATION

  • Suh, Yong-Kweon
    • Journal of Theoretical and Applied Mechanics
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    • 제2권1호
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    • pp.51-70
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    • 1996
  • This study is generalization of the study of Miles[Physica 11D, 1984, pp.309-323]on the resonant motion of a spherical pendulum, which is equivalent to a particle on a spherical container subject to a linear, horizontal excitation. This study covers an arbitrary shape of container and a more general excitation (horizontal but elliptic motion). The averaging method is applied to reduce the governing equations to an autonomous system with cubic nonlinear terms, under the assumption of small amplitude of the container motion. It is shown that both the container shape and the excitation pattern affect the particle dynamics. Under the linear excitation, the anharmonic motion of the particle is possible only for a certain finite range of the parameter a controling the container shape. Stability of the particle's harmonic motion is also influenced by the excitation pattern; as the excitation trajectory becomes closer to a circle, the particle's motion has a stronger tendency to become stable and to follow the rotational direction of the excitation. Under a circular excitation, the motion is always stable and circular with the same rotational direction as the excitation. Analogy between the present model and that of the surface wave inside a circular is studied quantitatively.

공진주 실험의 이론적 모델링에 의한 자료분석 및 해석기법의 제안 (Data Reduction and Analysis Technique for the Resonant Column Testing by Its Theoretical Modeling)

  • 조성호;황선근;강태호;권병성
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2003년도 봄 학술발표회 논문집
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    • pp.291-298
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    • 2003
  • The resonant column testing is a laboratory testing method to determine the shear modulus and the material damping factor of soils. The method has been widely used for many applications and its importance has been increased. Since the establishment of the testing method in 1963, the low-technology electronic devices for testing and data acquisition have limited the measurement to the amplitude of the linear spectrum. The limitations of the testing method were also attributed to the assumption of the linear-elastic material in the theory of the resonant column testing and to the use of the wave equation for the dynamic response of the specimen. For the better theoretical formulation of the resonant column testing, this study derived the equation of motion and provided its solution. This study also proposed the improved data reduction and analysis method for the resonant column testing, based on the advanced data acquisition system and the proposed theoretical solution for the resonant column testing system. For the verification of the proposed data reduction and analysis method, the numerical simulation of the resonant column testing was performed by the finite element analysis. Also, a series of resonant column testing were peformed for Joomunjin sand, which verified the feasibility, of the proposed method and showed the limitations of the conventional data reduction and analysis method.

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Scaling of design earthquake ground motions for tall buildings based on drift and input energy demands

  • Takewaki, I.;Tsujimoto, H.
    • Earthquakes and Structures
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    • 제2권2호
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    • pp.171-187
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    • 2011
  • Rational scaling of design earthquake ground motions for tall buildings is essential for safer, risk-based design of tall buildings. This paper provides the structural designers with an insight for more rational scaling based on drift and input energy demands. Since a resonant sinusoidal motion can be an approximate critical excitation to elastic and inelastic structures under the constraint of acceleration or velocity power, a resonant sinusoidal motion with variable period and duration is used as an input wave of the near-field and far-field ground motions. This enables one to understand clearly the relation of the intensity normalization index of ground motion (maximum acceleration, maximum velocity, acceleration power, velocity power) with the response performance (peak interstory drift, total input energy). It is proved that, when the maximum ground velocity is adopted as the normalization index, the maximum interstory drift exhibits a stable property irrespective of the number of stories. It is further shown that, when the velocity power is adopted as the normalization index, the total input energy exhibits a stable property irrespective of the number of stories. It is finally concluded that the former property on peak drift can hold for the practical design response spectrum-compatible ground motions.

점성을 고려한 공진주 실험의 이론적 모델링 (Theoretical Modeling of the Resonant Column Testing with the Viscosity of a Specimen Considered)

  • 조성호;황선근;권병성;강태호
    • 한국지반공학회논문집
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    • 제19권4호
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    • pp.145-153
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    • 2003
  • 공진주 실험은 탄성파 이론을 이용하여 흙의 동적 물성, 즉 전단변형률의 크기에 따른 전단탄성계수와 재료감쇠비를 측정하는 실험이다. 공진주 실험에 의한 시료의 동적물성의 측정은 공진주 실험 시스템의 동적 거동에 대한 이해를 전제로 한다. 공진주 실험의 시료 및 실험장치의 구성은 고정단-자유단 경계조건을 가지고 있는 연속보로 단순화할 수 있어서, Richart, Hall and Woods는 공진주 실험 시스템에 대한 파동방정식을 유도하였으나, 시료를 단순히 탄성으로 가정하였고 시료의 점성을 고려하지는 않았다. 그리고, Hardin은 파동방정식의 유도에서 시료의 점탄성을 고려하였으나, 시료의 전단탄성계수를 결정하기 위하여 시료의 점탄성을 가정하여야 하는 문제점을 가지고 있었다. 본 연구에서는 기존의 연구자들이 시도했던 공진주 실험 시스템에 대한 파동방정식을 새로운 측면에서 유도하였으며, 새로이 유도된 파동방정식의 해법을 제안하였다. 한편, 일반적으로 시스템에 대한 동적 거동을 이해하는 방법으로, 시스템의 운동방정식을 이용하는 방법이 있으나, 공진주 실험 시스템에 대한 동적 거동의 해석방법으로 이와 같은 운동방정식을 이용하는 해석방법을 연구한 경우는 거의 없었다. 운동방정식에 의한 해법은 시스템의 동적 증폭계수와 동적 응답에 대한 위상각을 구할수 있기 때문에 파동방정식에 대한 해법보다 더 많은 정보를 활용할 수 있는 장점이 있다. 따라서, 본 연구에서는 공진주 실험 시스템에 대한 보다 기본적이고 많은 정보를 도출하기 위하여, 공진주 실험 시스템에 대한 운동방정식을 유도하였으며, 이를 이용하여 공진주 실험자료를 해석하는 새로운 해석기법의 제안을 위한 근간을 마련하였다. 그리고, 공진주 실험 시스템에 대한 유한요소 해석을 수행하여, 본 연구에서 제안한 공진주 실험시스템의 이론적 모델링의 타당성과 합리성을 검증하였다.

금속/세라믹 복합구조 선형 초음파 모터의 양방향 운동 (Bidirectional Motion of the Metal/Ceramic Composit Structure Linear Ultrasonic Motor)

  • 이재형;박태곤;김명호
    • 한국전기전자재료학회:학술대회논문집
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    • 한국전기전자재료학회 2002년도 추계학술대회 논문집 Vol.15
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    • pp.79-82
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    • 2002
  • In this paper, a single phase driven piezoelectric motor design was presented for linear motion. Two metal/ceramic composite actuators, a piezoelectric ring which was bonded to a metal endcap from one side, were used as the active elements of this motor. The motor was composed of a piezoelectric ceramic, a metal ring which has 4 arms, and a guider. Motors with 30.0[mm] and 35.0[mm] diameter were studied by finite element analysis and experiments. As results, the maximum speed of motor was obtained at resonant frequency. When the applied voltage of the motor increased, the speed was increased. Also, bidirectional motion of the motor was achieved by combining two motors which have different resonant frequency.

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Near-resonant attitude motion analysis of a spinning satellite via multiple scales method

  • Kang, Ja-Young
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1994년도 Proceedings of the Korea Automatic Control Conference, 9th (KACC) ; Taejeon, Korea; 17-20 Oct. 1994
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    • pp.213-217
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    • 1994
  • The attitude stability of a satellite in spin-stabilized injection mode which contains a liquid pool is investigated. The satellite model for investigation is a two-body system consisting of a the main body, which is symmetric and rigid, representing the spacecraft, and a spherical pendulum, representing the liquid pool. Assuming that both spacecraft and pendulum are in states of steady spin about the symmetry axis of the spacecraft, the coupled nonlinear equations of motion for the system are simplified. In this paper, by using the multiple scales method, the possible resonance conditions in terms of the system parameters are determined and the corresponding near-resonant solutions are derived.

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컨테이너선형의 내항성능특성 고찰 (A Study on Seakeeping of Container Ships)

  • 장택수;윤동환;홍사영;박광동;송명재
    • 대한조선학회논문집
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    • 제40권3호
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    • pp.16-21
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    • 2003
  • Seakeeping performance of container ships is investigated in view of increase of their size in terms of TEU. Recent appearance of post Panamax class containers resulted in increase of GM, so increase of possibility of resonant motion in waves is expected accordingly. Ship motions of various classes of TEU containers were calculated for various sea states and heading angles in order to assess seakeeping characteristics according to increase of size of the ships. It was found that roll motion of post Panamax containers increase due to resonance as sea state becomes rougher. The possibility of controlling roll motion by changing main particulars such as L, B, and T is investigated as well.

AFM 시스템을 위한 XYZ 3축 스테이지의 설계 (The design of XYZ 3-axis stage for AFM system)

  • 김동민;김기현;심종엽;권대갑;엄천일
    • 한국결정학회:학술대회논문집
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    • 한국결정학회 2002년도 정기총회 및 추계학술연구발표회
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    • pp.36-36
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    • 2002
  • To Establish of standard technique of length measurent in 2D plane, we develope AFM system. The XY scanner scans the sample only in XY plane, while the Z scanner scans the specimen only in Z-direction. Cantilever tip is controlled to has constant height relative to speciman surface by feedback of PSPD signal. To acquire high accuracy, Z-axis measuring sensor will be added.(COXI or others). In this paper we design XYZ stage suitable for this AEM system. For XY stage, single module parallel-kinnematic flexure stage is used which has high orthogonality and minimum out-of-plane motion. To obtain best performance optimal design is performed. For XY stage, to be robust about parasitic motion optimal design of maximizing Z and tilt stiffness is performed under the constraint of motion range and stage size. And for Z stage, optimal design of maximizing 1st resonant frequency is performed. Because if resonant frequency is get higher, scan speed is improved. So it makes reduce the error by sensor drift. Resultly XYZ stage each have 1st natural frequency of 115㎐, 201㎐, 2.66㎑ and range 109㎛, 110㎛, 12㎛.

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운동방정식에 기초한 공진주 실험의 자료분석 및 해석 (Data Reduction and Analysis of the Resonant Column Testing Based on the Equation of Motion)

  • 조성호;강태호
    • 한국지반공학회논문집
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    • 제19권4호
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    • pp.133-144
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    • 2003
  • 공진주 실험은 흙의 전단탄성계수, 재료감쇠비 등을 결정하는 실험으로, 최근 내진해석의 중요성과 더불어 그 사용빈도와 중요성이 증가하고 있다. 공진주 실험은 1960년 이후 널리 활용되어 왔으나, 현재까지의 공진주 실험은 측정장비의 제한성 때문에, 주로 선형스펙트럼 (linear spectrum)의 진폭성분만을 측정하여 왔다. 이는 공진주 실험 시스템의 동적거동을 규명하는 이론에 있어서도 시료의 점성이 고려되지 않았던 것과 동적거동에 대한 이해가 부족했기 때문이기도하다. 최근 조성호 등은 이러한 한계성을 극복할 수 있는 이론적 근거를 제시하였다. 즉, 공진주 실험 시스템의 동적거동에 대한 운동방정식과 그 일반해를 제시함으로써, 이론에 부합하는 공진주 실험의 자료분석 및 해석기법의 기초를 정립하였다. 본 연구에서는 발전된 계측장비와 공진주 실험 시스템의 동적거동에 대한 이론적 모델링을 이용하여 신뢰도가 향상된 공진주 실험의 자료분석 및 해석기법을 제안하였다. 그리고, 유한요소해석에 의한 공진주 실험의 수치실험을 통하여 본 연구에서 제안한 해석기법의 신뢰성과 타당성을 확인하였다. 또한, 주문진 표준사에 대한 공진주 실험을 통하여, 본 연구에서 제안한 자료분석 및 해석방법의 적용성을 확인하였으며, 기존 해석방법과의 비교를 통하여 기존 방법의 한계성과 문제점을 살펴보았다.

Estimation of damping induced by taut mooring lines

  • Xiong, Lingzhi;Lu, Wenyue;Li, Xin;Guo, Xiaoxian
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제12권1호
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    • pp.810-818
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    • 2020
  • A moored floating structure may exhibit resonant motion responses to low-frequency excitations. Similar to the resonant responses of many vibration systems, the motion amplitude of a moored floating structure is significantly affected by the damping of the entire system. In such cases, the damping contributed by the mooring lines sometimes accounts for as much as 80% of the total damping. While the damping induced by catenary mooring lines is well-investigated, few studies have been conducted on the damping induced by taut mooring lines, especially one partly embedded in soil. The present study develops a simple but accurate model for estimating the damping contributed by mooring lines. A typical type of taut mooring line was used as the reference and the hydrodynamic drag force and soil resistance were taken into consideration. The proposed model was validated by comparing its predictions with those of a previously developed model and experimental measurements obtained by a physical model. Case studies and sensitivity studies were also conducted using the validated model. The damping induced by the soil resistance was found to be considerably smaller than the hydrodynamic damping. The superposition of the wave frequency motion on the low-frequency motion was also observed to significantly amplify the damping induced by the mooring lines.