• Title/Summary/Keyword: 비선형운동

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A Study on the Nonlinear Instability Behavior of Hybrid Structures(II) -Characteristic of Dynamic In-Plane Torsional Buckling under the STEP Load- (Hybrid 구조물의 비선형 불안정 거동에 관한 연구(II) -STEP 하중에서의 동적 면내비틀림 좌굴 특성-)

  • Kim, Seung Deog;Kim, Hyung Seok;Kang, Moon Myung
    • Journal of Korean Society of Steel Construction
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    • v.13 no.5
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    • pp.599-608
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    • 2001
  • Many papers which deal with the dynamic instability of shell-like structures under the STEP load has been published but there have been few papers related to the dynamic instability of hybrid cable domes. And also there are a few researches which treat the essential phenomenon of the dynamic buckling using the phase for investigating occurrence of chaos. In this study the indirect buckling of hybrid cable domes considering geometric nonlinearity are investigated numerically and compared it with the static critical load The dynamic critical loads are determined by the numerical integration of the geometric nonlinear equation of motion and the mechanism of the indirect buckling is examined by using the phase curves.

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Analysis on Optimality of Proportional Navigation Based on Nonlinear Formulation (비선형 운동방정식에 근거한 비례항법유도의 최적성에 관한 해석)

  • Jeon, In-Soo;Lee, Jin-Ik
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.37 no.4
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    • pp.367-371
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    • 2009
  • Analysis on optimality of the proportional navigation guidance(PNG) law is presented in this paper. While most of previous studies on optimality of PNG were relied on the linear formulation, this paper is based on the nonlinear formulation. The analysis shows that PNG is an optimal solution minimizing a range-weighted control energy, where the weighting function is an inverse of $\alpha$ power of the distance-to-target. We show that the navigation constant N is related to $\alpha$ directly. And also the conditions required to ensure the analysis result are investigated.

A Simplified Bridge-vessel Collision Model Considering with the Rotational Motions of the Vessel (선체의 회전을 고려한 선박과 교량의 간이충돌모델)

  • Lee, GyeHee
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.31 no.2A
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    • pp.43-49
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    • 2011
  • In this study, to analyze the collision behaviors of the bridge super-structure and the vessel which the collision point is located far from its rotation center such as bridge of a vessel and equipments on a barge, the simplified collision model was proposed. The model was configured to denote the mass, stiffness and the nonlinear behaviors of the bridge and the vessel. The nonlinear equation of motions of the proposed model were numerically solved by 4th order Runge-Kutta method. The parametric studies were performed for various collision conditions by the standardized Korean barge vessel in term of barge width, and its effects to the maximum collision load of bridge were analyzed.

Multicopter Position Control using Singular Perturbation based Dynamic Model Inversion (특이섭동 모델역변환을 이용한 멀티콥터 위치제어 연구)

  • Choi, Hyoung Sik;Jung, Yeondeuk;Lee, Jangho;Ryu, Hyeok;Lee, Sangjong
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.45 no.4
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    • pp.276-283
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    • 2017
  • This paper presents position control of multicopter using nonlinear dynamic model inversion in singular perturbation. Multicopter dynamics are developed and separated into the fast time-scale variables, related with the inner-loop design, and the slow time-scale variables, related with the outer-loop design. The final design is evaluated in 6-DOF simulation. The results show accurate position tracking performance.

Time-Domain Analysis of Nonlinear Wave-Making Problems by a Submerged Sphere Oscillating with Large Amplitude (대진폭 조화 운동을 하는 잠수구에 의한 비선형 조파문제의 시간영역 해석)

  • Kim, Yong-Jig;Ha, Young-Rok
    • Journal of Ocean Engineering and Technology
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    • v.20 no.6 s.73
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    • pp.67-74
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    • 2006
  • A high-order spectral/boundary-element method is newly adapted as an efficient numerical tool. This method is one of the most efficient numerical methods by which the nonlinear gravity waves can be simulated and hydrodynamic forces also can be calculated in time-domain. In this method, the velocity potential is expressed as the sum of surface potential and body potential. Then, surface potential is solved by using the high-order spectral method and body potential is solved by using the high-order boundary element method. By the combination of these two methods, the wave-making problems by a submerged sphere oscillating with large amplitude under the free~surface are solved in time-domain. Through the example calculations, nonlinear effects on free-surface profiles and hydrodynamic forces are shown and discussed.

Modeling and Dynamic Stability Analysis of a Flying Beam Undertaking Pulsating Follower Forces Considering the Nonlinear Effect Due to Rigid Body Motion (강체운동 비선형 효과를 고려한 맥동 종동력을 받아 비행하는 보 구조물의 모델링 및 안정성 해석)

  • Hyun, Sang-Hak;Yoo, Hong-Hee
    • Proceedings of the KSME Conference
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    • 2000.11a
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    • pp.510-515
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    • 2000
  • Dynamic stability of a flying structure undertaking constant and pulsating axial forces is investigated in this paper. The equations of motion of the structure, which is idealized as a free-free beam, are derived by using the hybrid variable method and the assumed mode method. The structural system includes a directional control unit to obtain the directional stability. The analysis model presented in this paper considers the nonlinear effect due to rigid body motion of the beam. Dynamic stability of the system is influenced by the nonlinear effect. In order to examine the nonlinear effect, first the unstable regions of the linear system are obtained by using the method based upon Floquet's theory, and dynamic responses of the nonlinear system in the unstable region are obtained by using direct time integration method. Dynamic stability of the nonlinear system is determined by the obtained dynamic responses.

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A Stochastic Prediction of Rolling of Ships Using Equivalent Non-linear Method (등가 비선형화 법에 의한 선박 횡요의 확률론적 예측)

  • Sun-Hong Kwon;Jung-Han Chung;Dae-Woong Kim
    • Journal of the Society of Naval Architects of Korea
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    • v.29 no.2
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    • pp.60-65
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    • 1992
  • The roll response of a ship to random beam seas is investigated in terms of the threshold crossing process. The non-white excitation process is modeled as an equivalent white-noise one based on the assumption that the upcrossing properties of the response can be approximately replaced by the excitation with a white noise process with a suitable intensity. Then the non-linear damping is reinstated. The reinstated equation of motion with the equivalent white-noise intensity is solved using the equivalent non-linear method to get the desired probability density function. The proposed scheme is tested extensively with varing coefficients.

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Equivalent damping ratio of a friction damper installed in a structure under collapse load (붕괴하중을 받는 건물에 설치된 마찰감쇠기의 등가감쇠비)

  • Seong, Ji-Young;Min, Kyung-Won
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2011.04a
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    • pp.602-605
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    • 2011
  • 본 논문에서는 마찰감쇠기가 설치된 건물이 붕괴하중을 받을 때의 에너지소산능력을 고려하여 등가감쇠비를 유도하였다. 마찰감쇠기는 주로 지진과 같은 수평하중에 대한 에너지를 소산하기위해 설치된다. 마찰감쇠기를 대각 가새형으로 설치하면 수평하중에 대한 저항력뿐 만아니라 수직하중에 대한 저항성능도 발휘된다. 건물에 설치된 마찰감쇠기는 외력의 크기에 따라 정지와 운동의 상태를 반복하여 외부 입력에너지를 소산시키기 때문에 외력과 응답관계가 비선형이다. 건물은 고유의 점성감쇠를 가지므로 마찰감쇠기가 설치된 건물은 마찰과 점성감쇠를 동시에 고려해야하므로 해석적인 정해를 구하기가 어렵다. 에너지 평형을 이용하여 등가감쇠비를 구하고 운동방정식을 등가선형화하면 쉽게 저항 성능을 파악할 수 있다. 우선 건물에 영향을 미치는 것은 감쇠이므로 감쇠의 영향력을 마찰력비, ${\gamma}_c$로 나타내었다. 둘째, 정해를 마찰력비로 표현하여 유도하고 응답특성을 파악하였다. 셋째, 에너지 균형식을 통해 등가감쇠비를 산정하였다. 마지막으로 등가감쇠비를 검증하기 위하여 등가감쇠비를 이용하여 등가선형화한 응답과 실제 마찰감쇠기를 설치하여 비선형 수치해석한 결과와 비교, 검증하였다.

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Effects on Nonlinear Ship Motions on Ship Maneuvering in Large Amplitude Waves (비선형 선박운동을 고려한 대파고 파랑 중 조종성능에 대한 연구)

  • Seo, Min-Guk;Kim, Yong-Hwan;Kim, Kyong-Hwan
    • Journal of the Society of Naval Architects of Korea
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    • v.48 no.6
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    • pp.516-527
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    • 2011
  • This paper considers a numerical analysis of ship maneuvering performance in the high amplitude incident waves by adopting linear and nonlinear ship motion analysis. A time-domain ship motion program is developed to solve the wave-body interaction problem with the ship slip speed and rotation, and it is coupled with a modular type 4-DOF maneuvering problem. Nonlinear Froude-Krylov and restoring forces are included to consider weakly nonlinear ship motion. The developed method is applied to observe the nonlinear ship motion and planar trajectories in maneuvering test in the presence of incident waves. The comparisons are made for S-175 containership with existing experimental data. The nonlinear computation results show a fair agreement of overall tendency in maneuvering performance. In addition, maneuvering performances with respect to wave slope is predicted and reasonable results are observed.

Particle Simulation for Motion of 2-D Floating Body in Waves (파랑중 2차원 부유체 운동해석을 위한 입자법 시뮬레이션)

  • Park, Jong-Chun;Lee, Byung-Hyuk;Jung, Sung-Jun
    • 한국전산유체공학회:학술대회논문집
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    • 2008.03b
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    • pp.630-633
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    • 2008
  • A particle method has been developed for analyzing the motion of 2-D floating body in waves. The particle method is based on the MPS(Moving Particle Semi-implicit) method suggested by Koshizuka et al. (1996), and the flow motion coupled with the motion of floating body can be simulated. The wavemaker and wave absorber are installed at the inflow and outflow boundaries in a computational domain, respectively. The motion characteristics of a floating body is investigated numerically under the various computational conditions.

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