• Title/Summary/Keyword: 비선형동역학

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BDS Statistic: Applications to Hydrologic Data (BDS 통계: 수문자료에의 응용)

  • Kim, Hyeong-Su;Gang, Du-Seon;Kim, Jong-U;Kim, Jung-Hun
    • Journal of Korea Water Resources Association
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    • v.31 no.6
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    • pp.769-777
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    • 1998
  • In this study, various time series are analyzed to check nonlinearities of the data. The nonlinearity of a system can be investigated by testing the randomness of the time series data. To test the randomness, four nonparametric test statistics and a new test statistic, called the BDS statistic are used and the results and the results are compared. The Brock, Dechert, and Scheinkman (BDS) statistic is originated from the statistical properties of the correlation integral which is used for searching for chaos and has been shown very effective in distinguishing nonlinear structures in dynamic systems from random structures. As a result of application to linear and nonlinear models which are well known, the BDS statistic is found to be more effective than nonparametric test statistics in identifying nonlinear structure in the time series. Hydrologic time series data are fitted to ARMA type models and the statistics are applied to the residuals. The results show that the BDS statistic can distinguish chaotic nonlinearity from randomness and that the BDS statistic can also be used for verifying the validity of the fitted model.

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Vibro-Contact Analysis of AFM Tip on Polymer Surface (폴리머 표면측정을 위한 AFM 팁의 접촉-진동 해석)

  • Hong, Sang-Hyuk;Lee, Soo-Il
    • 한국신재생에너지학회:학술대회논문집
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    • 2005.06a
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    • pp.538-541
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    • 2005
  • In tapping mode atomic force microscopy(TM-AFM). the vibro-contact response of a resonating tip is used to measure the nanoscale topology and other properties of a sample surface. However, the nonlinear tip-surface interact ions can affect the tip response and destabilize the tapping mode control. Especially it is difficult to obtain a good scanned image of high adhesion surfaces such as polymers and biomoleculars using conventional tapping mode control. In this study, theoretical and experimental investigations are made on the nonlinear dynamics and control of TM-AFM. To analyze the complex dynamics and control of the tapping tip, the classical contact models are adopted due to the surface adhesion. Also we report the surface adhesion is an additional important parameter to determine the control stability of TM-AFM. In addition, we prove that it is more adequate to use Johnson-Kendall-Roberts (JKR) contact model to obtain a reasonable tapping response in AFM for the soft and high adhesion samples.

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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.

Study on the Nonlinear Characteristics of Oleo-Pneumatic Buffer System (유압완충기의 비선형 특성에 관한 연구)

  • 이규섭;최영진;김인성;유원희;박영필
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1992.10a
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    • pp.3-7
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    • 1992
  • 포는 대체로 정확도와 최대 발사거리 및 최대 발사속도 등에 의해 그 성능 이 표현된다. 그 중에서도 최대 발사속도는 매우 중요한 인자로서 포의 주퇴 복좌 장치의 성능에 의해 직접적으로 영향을 받게 된다. 따라서 포의 최대 발사속도 향상을 위해서는 주퇴복좌 장치의 동특성 해석 능력을 확보하고, 그로부터 주퇴 장치의 설계 변경이 가능하도록 해야 한다. 한편, 주퇴복좌기 의 주퇴특성은 주퇴시 총주퇴저항력이 전주퇴장에 대해서 거의 일정해야만 포신에 전달되는 힘을 최소로 하면서 주퇴시간을 최소로 할 수 있으며 이러 한 설계 개념으로 주퇴복좌기를 설계한다. 그에 따라 주퇴복좌기는 그 내부 가 가변 오리피스 및 조절 로드로 이루어져 주퇴복좌기의 주퇴 저항력을 주 퇴속도 및 주퇴변위에 따라 변화시키도록 되어 있다. 따라서 주퇴복좌기는 필연적으로 강한 비선형 특성을 나타낸다. 이러한 주퇴복좌기를 모델링할 때 에 기존에는 주퇴복좌기내의 모든 유체역학적 요소를 고려하여 모델링하는 기법이 통용되어왔다. 그러나 이러한 모델링은 각 요소의 모델링 오차가 누 적될 위험이 있으므로 정확한 모델링을 보장할 수 없으며, 매우 복잡한 과정 을 거쳐야 한다. 따라서 본 연구에서는 주퇴 완충기 시뮬레이터를 이용한 실 험에 따른 계의 파라미터 예측을 통하여 모델링하는 기법을 시도하여 보았 다.

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Ride Quality Analysis Using Seated Human Vibration Modeling (시트-인체 진동 모델링을 이용한 승차감 해석)

  • Kang, Ju Seok
    • Journal of the Korean Society for Railway
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    • v.18 no.3
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    • pp.194-202
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    • 2015
  • In this paper, dynamic modeling with viscoelastic properties of a human body resting on a seat is presented to quantitatively analyze ride quality of passengers exposed to vertical vibrations. In describing the motions of a seated body, a 5 degree-of-freedom multibody model from the literature is investigated. The viscoelastic characteristics of seats used in railway vehicles are mathematically formulated with nonlinear stiffness characteristics and convolution integrals representing time delay terms. Transfer functions for the floor input are investigated and it is found that these are different in accordance with the input magnitude due to nonlinear characteristics of the seat. Measured floor input at the railway vehicle is used to analyze realistic human vibration characteristics. Frequency weighted RMS acceleration values are calculated and the effects of the seat design parameters on the frequency weighted RMS acceleration values are presented.

3D Nonlinear Fully Coupled Simulation of Cable and Tow-fish System (케이블-수중 예인체 시스템의 3차원 비선형 완전 연성해석)

  • Go, Gwangsoo;Lee, Euntaek;Ahn, Hyung Taek
    • Journal of Ocean Engineering and Technology
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    • v.30 no.6
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    • pp.458-467
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    • 2016
  • In this paper, a strongly coupled method for investigating the interaction between a cable and tow-fish is presented. The nodal position finite element method was utilized to analyze the nonlinear cable dynamics, and 6DOF equations of motion were employed to describe the 3D rigid body motion of the tow-fish. Combining cable and tow-fish systems into a single formulation allowed the two nonlinear systems to be strongly coupled into a unified nonlinear system. This strongly coupled system was numerically integrated in the time domain using a predictor/multi-corrector Newmark algorithm. To demonstrate the validity, efficacy, and applicability of the current approach, two different scenarios (virtual and sea trial) were simulated, and the simulation results were validated using the physical plausibility and the sea trial test.

Nonlinear Dynamic Analysis of Helical Gears with Backlash by Torque Fluctuation (토크 변동에 의한 백래시를 가진 헬리컬 기어의 비선형 동적 해석)

  • Park, Chan-IL
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.20 no.7
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    • pp.677-684
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    • 2010
  • Backlashes of gears provide gears for good lubrication and for removal of the interference between teeth by the wear and manufacturing errors. The backlash is the strong nonlinear factor to gears. This study deals with nonlinear modeling of helical gears with backlash. Excitation of helical gears comes from torque variation, the tooth surface error, and the periodical change of mesh stiffness. To study the effect of torque fluctuation, equation of motion for the single degree of freedom torsional model of helical gears with the periodical change of mesh stiffness and the backlash was derived. The Newmark beta method and the Newton-Raphson method were used to obtain the nonlinear behaviors of mesh forces of helical gears. All excitation frequencies initially caused the tooth separation and single-sided impacts of the gear pair and eventually led to the normal tooth contact. However, some special excitation frequencies caused the single-sided impacts in the entire time as well as the initial time. Damping increase reduced the duration of single-sided impacts, and the backlash increase caused those in the entire time domain.

Exact solver of Saint-Venant system with discontinuous geometry (불연속 지형조건에 대한 Saint-Venant 방정식의 정해법)

  • Jung, Jaeyoung;Hwang, Jin Hwan
    • Proceedings of the Korea Water Resources Association Conference
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    • 2021.06a
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    • pp.256-256
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    • 2021
  • Saint-Venant 방정식은 수평규모가 수심규모보다 큰 천수흐름을 기술하는 수리동역학 모형으로 지난 수십년간 공학적 분야에서 널리 이용되어 왔다. 최근에도 기후변화에 따른 도시 홍수의 위기 증대로 홍수위기관리의 관심이 높아짐에 따라 홍수파(flood wave), 도시침수(urban inundation), 돌발홍수(flash flood) 등의 신속한 예측을 위한 Saint-Venant 방정식의 연구가 활발히 진행되고 있다. 그러나 도시와 같은 인공구조물이 즐비한 상황에서 천수흐름을 해석하는 고전적인 수치해법들은 다양한 불연속 지형들의 존재로 인하여 불안정하며 지배방정식의 정해로 수치해가 잘 수렴하지 않는 문제가 있다. 지난 수년간 이를 해결하기 위해 불연속한 지형을 안정적으로 해결할 수 있는 수치기법의 연구가 진행되어 왔으나, 정해로의 수렴성, 정확성에 관하여 연구가 부족한 실정이다. 본 연구는 수치해법의 주요 구조를 구성하는 Saint-Venant 방정식의 불연속한 지형조건에 대한 리만 문제의 정해를 연구하였다. 쌍곡선형 시스템의 특징을 고려하여 요소파들(elementary waves)의 공식을 유도하였는데, 질량과 에너지의 보존법칙에 위배되지 않으며 운동량이송부의 비선형성과 지형의 불연속에 의한 비엄격성을 고려할 수 있는 조건을 제시하였다. 또한, 유도된 요소파들을 바탕으로 L-M & R-M 커브이론(Han et al. 2014)을 사용할 수 있는 조건과 당위성을 증명하였고, 이를 바탕으로 Saint-Venant 방정식의 정해법을 구성하였다. 리만문제의 다양한 초기조건들을 바탕으로 모든 경우의 정해 구조를 조사하였고, 이를 통해 불연속 지형에 대한 Saint-Venant 지배방정식의 정해가 다수해를 갖을 수 있음을 보였으며, 이를 근사할 수 있는 수치기법의 전략을 소개하였다.

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Integral Sliding-based Dynamic Control Method using Genetic Algorithm on an Omnidirectional Mobile Robot (전방향 모바일 로봇에서 유전알고리즘을 이용한 적분 슬라이딩 기반 동적 제어 기법)

  • Park, Jin-Hyun;Choi, Young-Kiu
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.25 no.12
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    • pp.1817-1825
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    • 2021
  • Omnidirectional mobile robots can be mobile in any direction without changing the robot's direction, making them easy to apply in many applications and providing excellent maneuverability. Omnidirectional mobile robots have non-linear dynamic components such as friction, making them difficult to model accurately. In this paper, we linearize the mobile robot system using the mobile robot's inverse dynamics and integral sliding mode control method to remove these nonlinear components. And the position and velocity gains are optimized using a genetic algorithm to realize the optimal performance of the proposed system control method. As a result of the performance evaluation, the genetic algorithm's control method showed superior performance than the control method with an arbitrary gain. And the proposed inverse dynamic and integral sliding mode control method can be applied to other control methods. It can be beneficial for designing a linear control system.

Structural Analysis of PWR(pressurized water reactor) Canister for Applied Impact Force Occurring at the Moment of Falling Plumb Down Collision (추락낙하 충돌 시 가해지는 충격에 대한 경수로(PWR) 처분용기의 구조해석)

  • Kwon, Young-Joo
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.24 no.2
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    • pp.211-222
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    • 2011
  • In this paper a structural analysis of the PWR(pressurized water reactor) canister with 102cm diameter is carried out to evaluate the structural safety of the canister for the impact force occurring at the moment of collision with the ground in the falling plumb down accident from the carriage vehicle which may happen during the canister handling at the spent nuclear fuel disposal repository. For this, a rigid body dynamic analysis of the canister is executed to compute the impact force using the commercial CAE system, RecurDyn, and a nonlinear structural analysis is performed to compute stresses and deformations occurring inside the canister for this computed impact force using the commercial FEM code, NISA. From these analysis results, the structural safety of the canister is evaluated for the falling plumb down accident from the carriage vehicle due to the inattention during the canister handling at the repository. The rigid body dynamic analysis performed assuming the canister as a rigid body shows that the canister falls plumb down to the ground in two types. And also it shows that early collision impact force is the biggest one and following impact forces decrease gradually. The height of the carriage vehicle in the repository is assumed as 5m in order to obtain the stable structural safety evaluation result. The nonlinear structural analysis of the canister is executed for the biggest early impact force. The structural analysis result of the canister shows that the structural safety of the PWR canister is not secured for the falling plumb down accident from the moving carriage vehicle because the maximum stresses occurring in the cast iron insert of canister are bigger than the yield stress of the cast iron.