• Title/Summary/Keyword: rigid-body pendulum

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Curing Behaviors and Viscoelastic of UPE Resins with Different Glycol Molar Ratios (글리콜 몰비가 다른 불포화 폴리에스테르 수지의 경화거동 및 점탄성)

  • Lee, Sang-Hyo;Park, Yung-Hoon;An, Seung-Kook;Lee, Jang-Oo
    • Polymer(Korea)
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    • v.25 no.1
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    • pp.15-24
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    • 2001
  • In this study, the effects of different glycol molar ratios of unsaturated polyester(UPE) resins on the curing behaviors were investigated. The cross linking process was checked or monitored by differential scanning calorimetry(DSC) and by viscoelastic properties of rigid-body pendulum model. The knife-edge from which the pendulum is suspended, is immersed in a reaction mixture, and the change of the viscoelastic behavior brings on those of the period(T) and logarithmic decrement(${\Delta}$) of the damped free oscillations of the pendulum. The values of T and ${\Delta}$ obtained are related to the dynamic modulus(E') and modulus loss(E'). The information on the viscoelastic behavior of unsaturated polyester(UPE) resins during the curing process are shown to illustrate the usefulness of the techniques. As the content of NPG in a propylene glycol(PG)/NPG glycol mixture increased, both the cycle time during cure and the change of damping during cure of UPE resin decreased.

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Dynamic Analysis of a 3DOF's Rigid Body Suspension System by Computer Simulation (컴퓨터 시뮬레이션을 이용한 3자유도 강체 현가시스템의 동특성 해석)

  • 정경렬
    • Journal of KSNVE
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    • v.3 no.3
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    • pp.231-243
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    • 1993
  • The dynamic characteristics of two types of mathematical models for a rigid body suspension system are analyzed and compared in this paper. One is a linearized model which is commonly used in the engine mount system analysis, the other is a nonlinear model which usually applied to the pendulum type system. The typical 3 d.o.f's mathematical model, for convenience, is chosen as a simulation model, because it has fundamental dynamic characteristics of suspension system. Time responses and unbalance responses of the rigid body, transmitted forces and torques are simulated by using the mathematical model. From the results of computer simulation, it is approved that he nonlinear model is valid and the linearized model gives erroneous results in the case of the pendulum type suspension system. In addition, in this study the effects of design change on the dynamic characteristics of the suspension system are investigated. Mount locations, mount angles, lengths, stiffness and damping coefficients of suspension bars are chosen as design parameters.

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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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    • 1994.10a
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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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The Control and the Real-time Analysis of a Horizontally Rotating Inverted Pendulum (수평회전형 도립진자의 제어 및 실시간 해석)

  • 김효중;김헌진;강철구
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1996.11a
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    • pp.341-345
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    • 1996
  • This paper presents the dynamics and the teal-time control of a horizontally rotating inverted pendulum. The dynamic equations representing three degrees of freedom rigid body motion of the pendulum are derived, and the state feedback controller is applied to the motion control of the pendulum. A 32 bit counter board with 16 bit hardware communication ability is developed to improve the real-time control performance and is applied to a horizontally rotating inverted pendulum. The simulation and experimental studies are conducted to evaluate the performance of the developed pendulum system and the timing in the real-time control is analyzed.

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THE STABILIZATION OF PROGRAM MOTIONS OF CONTROLLED NONLINEAR MECHANICAL SYSTEMS

  • Bezglasnyi, Sergey
    • Journal of applied mathematics & informatics
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    • v.14 no.1_2
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    • pp.251-266
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    • 2004
  • We consider a controlled nonlinear mechanical system described by the Lagrange equations. We determine the control forces $Q_1$ and the restrictions for the perturbations $Q_2$ acting on the mechanical system which allow to guarantee the asymptotic stability of the program motion of the system. We solve the problem of stabilization by the direct Lyapunov's method and the method of limiting functions and systems. In this case we can use the Lyapunov's functions having nonpositive derivatives. The following examples are considered: stabilization of program motions of mathematical pendulum with moving point of suspension and stabilization of program motions of rigid body with fixed point.

An experimental study on the human upright standing posture exposed to longitudinal vibration

  • Shin, Young-Kyun;Arif Muhammad;Inooka Hikaru
    • 제어로봇시스템학회:학술대회논문집
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    • 2002.10a
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    • pp.77.2-77
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    • 2002
  • Human upright standing posture in the sagittal plane is studied, when it exposed in the antero-posterior vibration. A two link inverted pendulum model is considered and described its functional behavior in terms of ankle and hip joint according to the dominant joints that provides the largest contribution to the corresponding human reactionary motion. The data is analyzed, both in the time domain and the frequency domain. Subjects behave as a non-rigid pendulum with a mass and a spring throughout the whole period of the platform motion. When vision was allowed, each segment of body shows more stabilized.

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A method to determine moment of inertia properties of an arbitrary shape body by modal testing (모우드 측정을 이용한 관성 모우멘트 도출)

  • 박윤식;정경렬;홍성욱;전혁수;이종원
    • 제어로봇시스템학회:학술대회논문집
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    • 1986.10a
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    • pp.102-107
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    • 1986
  • This paper presents a new idea to obtain moment of inertia values of an arbitrary shape body by applying inverse modal transformation technique. A multiaxes inertia pendulum apparatus was designed to measure 6 rigid body modes of a test body. A software was developed to calculate inertia properties as well as the location of center of gravity and total mass of the test body from the measured modal data. The developed method was applied to a simple body of which the inertia properties are known then the obtained values were compared with the known values.

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Application of Acrylic Resins Containing Acetoacetoxy Group and 90% Solid Contents to High-Solid Coatings (아세토아세톡시기 함유 90% 고형분인 아크릴수지의 하이솔리드 도료에의 적용)

  • Park, Hong-Soo;Kim, Bo-Bae;Kim, Ji-Hyun;Park, Eun-Su;Yoon, Hyun-Don;Lee, Young-Jun;Yeon, Je-Won;Ka, Eun-Ji;Lee, Ji-Soo
    • Journal of the Korean Applied Science and Technology
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    • v.25 no.3
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    • pp.322-331
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    • 2008
  • In order to synthesize high-solid coatings, acrylic resins (HSAs) containing 90% solid content were first synthesized, then the synthesized HSAs were cured with a curing agent, isocyanate, at room temperature to obtain high-solid coatings. In the HSAs synthesis, conversion was in a range of $82{\sim}87%$, and viscosities and number-averaged molecular weight ($M_n$) of the HSAs were in a range of $4380{\sim}8010$ cP and $1540{\sim}1660$, respectively. From the correlation between $T_g$ value, viscosity and $M_n$, it was found that, with increasing $T_g$ value, viscosity increases rapidly and molecular weight increases slowly. From the visco-elasity measured by the pendulum method, it was found that the curing time decreased with increasing $T_g$ values. From the tests of physical properties of the coatings' film, $60^{\circ}$ specular gloss, impact resistance and heat resistance were proved to be good and pencil hardness, drying time and pot-life were proved to be poor.

A Study on Dynamic Modelling and Mass Properties Estimation of the Lunar Module (달 탐사선의 동역학 모델링 및 관성 모멘트 추정에 관한 연구)

  • Shim, Sang-Hyun;Kim, Kwang-Jin;Lee, Sang-Chul;Ko, Sang-Ho;Rhyu, Dong-Young;Ju, Gwang-Hyeok
    • Journal of the Korean Society for Aviation and Aeronautics
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    • v.18 no.4
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    • pp.30-37
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    • 2010
  • This paper deals with attitude determination and parameter estimation problems for a lunar module. For this we first derive equations of motion for the lunar module by considering allocation locations (configurations) of reaction thruster and a reaction wheel assembly. The lunar module is assumed as a rigid body. In order to include the effect of fuel sloshing on the dynamics of the lunar module, we model it as a spherical pendulum for a simple analysis. For estimating angular rates and moment of inertia of the module, we employ an extended Kalman filter and the least mean square algorithms, respectively. Finally we construct a dynamical model for the lunar module by combining all these elements.

Physical Properties of High-Solid Coatings with Acrylic Resins Containing Acetoacetoxy Group and HDI-Trimer (Acetoacetoxy기 함유 아크릴수지와 HDI-Trimer에 의한 하이솔리드 도료의 도막물성)

  • You, Hyuk-Jae;Chung, Dong-Jin;Hahm, Hyun-Sik;Park, Hong-Soo;Kim, Seong-Kil
    • Journal of the Korean Applied Science and Technology
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    • v.20 no.3
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    • pp.237-242
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    • 2003
  • The high-solid coatings were prepared by blending the synthesized acrylic resin in the previous paper and hexamethylene diisocyanate-trimer and curing it at room temperature. The characterization of the films of the prepared coatings was performed. The impact resistance, $60^{\circ}C$ specular gloss, cross-hatch adhension, and heat resistance of the films proved to be good, and the pencil hardness and drying time proved to be slightly poor. Especially, there was a remarkable improvement in the heat resistance. This improvement may stem from the regular arrangement of ethyl groups introduced into the acrylic resin. From a viscoelastic measurement using a rigid-body pendulum, curing was accelerated with the $T_g$ value. With the increase in $T_g$, log damp value was lowered and dynamic viscoelasic $T_g$ of a cured film was increased.