• Title/Summary/Keyword: Simple Pendulum

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Dynamic Response Localization of Simple Periodic Structures Undertaking External Harmonic Forces (조화 외력을 받는 간단한 주기적 구조물의 동적 응답 국부화)

  • 김재영;유홍희
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.11 no.6
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    • pp.175-180
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    • 2001
  • Dynamic response localization of simple mistuned periodic structures is presented in this paper Mistuning in periodic structures can cause forced responses that are much larger than those of perfectly tuned structures. So mistuning results in the critical impact on high cycle fatigue of structures. Thus, it is of great importance to predict the mistuned forced response in an efficient way. In this paper, forced responses of coupled pendulum systems are investigated to identify the localization effect of periodic structures. The effects of mistuning and damping on the maximum forced response are examined. It is found that certain conditions of mistuning and coupling can cause strong localization and the localization becomes significant under weak damping. It is also found that the maximum forced response increases as the number of Periodic structures increases.

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A Study on Viscous Damping System of a Ship with Anti-Rolling Pendulum (안티롤링 진자를 장치한 선박의 점성감쇠계 해석에 대한 연구)

  • Park, Sok-Chu;Jang, Kwang-Ho;Yi, Geum-Joo
    • Journal of Navigation and Port Research
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    • v.41 no.6
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    • pp.365-372
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    • 2017
  • The rolling motion of a floating body makes crews and passengers exhausted and/or applies forces to the structure to cause damage; it might even upset the body. Therefore, almost all ships are equipped with bilge keels for anti-rolling; in special cases, an anti-rolling tank(ART) or fin stabilizer or gyroscope could be installed. But an ART requires a large capacity to install it, and a fin stabilizer and gyroscope need great costs to install and also many expenses to operate. The authors suggest the use of an anti-rolling pendulum(ARP), and they showed that the ARP is effective to reduce rolling by experiments and via a Runge-Kutta analysis. This paper introduces the linearized 2 degrees of freedom with a viscous damping system for a ship equipped with ARP; it also shows the validation of the linearized analysis for the ship's roll motion. The paper proposes an optimum ARP on the basis of the justified model. The case of the 7.7kg model with ship 20g ARP of a mass ratio of 0.26%, is the most effective for reducing roll motion. The paper shows the ARPs with various mass ratios are effective for reducing the roll motion of a ship by free decaying roll experiments.

Development of Large Tuned Mass Damper with Stroke Control System for Seismic Upgrading of Existing High-Rise Building

  • Hori, Yusuke;Kurino, Haruhiko;Kurokawa, Yasushi
    • International Journal of High-Rise Buildings
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    • v.5 no.3
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    • pp.167-176
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    • 2016
  • This paper describes a large tuned mass damper (TMD) developed as an effective seismic control device for an existing highrise building. To realize this system, two challenges needed to be overcome. One was how to support a huge mass that has to move in any direction, and the second was how to control mass displacement that reaches up to two meters. A simple pendulum mechanism with strong wires was adopted to solve the first problem. As a solution to the important latter problem, we developed a high-function oil damper with a unique hydraulic circuit. When the mass velocity reaches a certain value, which was predetermined by considering the permissible displacement, the damper automatically and drastically increases its damping coefficient and limits the mass velocity. This velocity limit function can effectively and stably control the mass displacement without any external power. This paper first examines the requirements of the TMD using a simple model and clarifies the constitution of the actual TMD system. Then the seismic upgrading project of an existing high-rise building is outlined, and the developed TMD system and the results of performance tests are described. Finally, control effects for design earthquakes are demonstrated through response analyses and construction progress is introduced.

Analytic Solution for Stable Bipedal Walking Trajectory Generation Using Fourier Series (푸리에 급수를 이용한 이족보행로봇의 보행 궤적 해석해 생성)

  • Park, Ill-Woo;Back, Ju-Hoon
    • Journal of Institute of Control, Robotics and Systems
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    • v.15 no.12
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    • pp.1216-1222
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    • 2009
  • This article describes a simple method for generating the walking trajectory for the biped humanoid robot. The method used a simple inverted model instead of complex multi-mass model and a reasonable explanation for the model simplification is included. The problem of gait trajectory generation is to find the solution from the desired ZMP trajectory to CoG trajectory. This article presents the analytic solution for the bipedal gait generation on the bases of ZMP trajectory. The presented ZMP trajectory has Fourier series form, which has finite or infinite summation of sine and cosine functions, and ZMP trajectory can be designed by calculating the coefficients. From the designed ZMP trajectory, this article focuses on how to find the CoG trajectory with analytical way from the simplified inverted pendulum model. Time segmentation based approach is adopted for generating the trajectories. The coefficients of the function should be designed to be continuous between the segments, and the solution is found by calculating the coefficients with this connectivity conditions. This article also has the proof and the condition of solution existence.

Direct Adaptive Fuzzy Control with Less Restrictions on the Control Gain

  • Phan, Phi Anh;Gale, Timothy J.
    • International Journal of Control, Automation, and Systems
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    • v.5 no.6
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    • pp.621-629
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    • 2007
  • In the adaptive fuzzy control field for affine nonlinear systems, there are two basic configurations: direct and indirect. It is well known that the direct configuration needs more restrictions on the control gain than the indirect configuration. In general, these restrictions are difficult to check in practice where mathematical models of plant are not available. In this paper, using a simple extension of the universal approximation theorem, we show that the only required constraint on the control gain is that its sign is known. The Lyapunov synthesis approach is used to guarantee the stability and convergence of the closed loop system. Finally, examples of an inverted pendulum and a magnet levitation system demonstrate the theoretical results.

A review on numerical models and controllers for biped locomotion over leveled and uneven terrains

  • Varma, Navaneeth;Jolly, K.G.;Suresh, K.S.
    • Advances in robotics research
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    • v.2 no.2
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    • pp.151-159
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    • 2018
  • The evolution of bipedal robots was the foundation stone for development of Humanoid robots. The highly complex and non-linear dynamic of human walking made it very difficult for researchers to simulate the gait patterns under different conditions. Simple controllers were developed initially using basic mechanics like Linear Inverted Pendulum (LIP) model and later on advanced into complex control systems with dynamic stability with the help of high accuracy feedback systems and efficient real-time optimization algorithms. This paper illustrates a number of significant mathematical models and controllers developed so far in the field of bipeds and humanoids. The key facts and ideas are extracted and categorized in order to describe it in a comprehensible structure.

Modeling Negative Stiffness Mechanism of Vestibular Hair Cell by Applying Gating Spring Hypothesis to Inverted Pendulum Array (게이팅 스프링 가설을 적용한 전정기관 유모세포의 반강성 메커니즘 모델)

  • Lim, Ko-Eun;Park, Su-Kyung
    • Proceedings of the KSME Conference
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    • 2007.05a
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    • pp.405-408
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    • 2007
  • Vestibular hair cells, the sensory receptors of vestibular organs, selectively amplify miniscule stimuli to attain high sensitivity. Such selective amplification results in compressive nonlinear sensitivity, which plays an important role in expanding dynamic range while ensuring robustness of the system. In this study, negative stiffness mechanism, a mechanism responsible for the selective amplification by vestibular hair cells, is applied to a simple mechanical system consisting of an array of inverted pendulums. The structure and working principle of the system have been inspired by gating spring hypothesis proposing that opening and closing of transduction channels contributes to the global stiffness of vestibular hair bundle. Parameter study was carried out to analyze the effect of each parameter on the compressive nonlinearity of suggested model.

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Test Setup for Flight Sensor Dynamics and Compensation of Time-delayed Position Output (비행 센서의 동특성 측정과 위치 출력의 시간 지연 보상)

  • Park, Sang-Hyuk;Lee, Sang-Hyup
    • Journal of the Korean Society for Aviation and Aeronautics
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    • v.18 no.4
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    • pp.16-20
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    • 2010
  • The dynamic characteristics of flight sensors is obtained by a simple method that deploys a pendulum with a rotary encoder. The encoder output is used with kinematic relations to derive reference signals for various flight sensors, including position, velocity, attitude, and angular rate sensors as well as accelerometer and magnetic sensors. A time delay of 0.4 seconds is found in the position output of the flight sensor under investigation. A logic to compensate for the time delay using a velocity information is proposed and validated in flight tests.

An Improvement of Performance in a Satellite Antenna Tracking Control System for Mobile DAB Reception (DAB수신을 위한 이동체용 위성 안테나 트랙킹 시스템의 성능 개선)

  • Jeong Joong-Sung
    • Journal of Advanced Marine Engineering and Technology
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    • v.28 no.7
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    • pp.1178-1184
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    • 2004
  • This paper presents the development of a satellite antenna tracking control system using a plane antenna for mobile DAB(Digital Audio Broadcasting) reception. To track more rapidly in the antenna of this system, this simple tracking system only tracks a direction of azimuth using pendulum in the direction of elevation. This system should track using the AGC(Automatic Gain Control) of the signal level which can receive DAB in spite of the changing of point and movement of the mobile. The directional gyro sensor is attached to solve the delay time in the Proposed tracking algorithm. The effectiveness of both the stabilization and tracking algorithm is demonstrated through experiment measuring AGC signal level. The implemented satellite antenna tracking control system is shown to be excellent for mobile DAB reception.

Optimal damping ratio of TLCDs

  • Chen, Yung-Hsiang;Chao, Chen-Chi
    • Structural Engineering and Mechanics
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    • v.9 no.3
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    • pp.227-240
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    • 2000
  • The study of the optimal damping ratio of a tuned liquid-column damper (or TLCD) attached to a single-degree-of-freedom system is presented. The tuned liquid-column damper is composed of two vertical columns connected by a horizontal section in the bottom and partially filled with water. The ratio of the length of the horizontal section to the effective wetted length of a TLCD considered as another important parameter is also presented for investigation. A simple pendulum-like model test is conducted to simulate a long-period motion in order to prove the effectiveness of TLCD for vibrational control. Comparisons of the experimental and analytic results of the TLCD, TLD (tuned-liquid damper), and TMD (tuned-mass damper) are included for discussion.