• Title/Summary/Keyword: rigid-body pendulum method

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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 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.

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.

Preparation of Environmental Friendly High-Solid Coatings and Their Property Changes with Solid Contents (환경친화성 하이솔리드 도료의 제조 및 고형분 함량에 따른 도막물성 변화)

  • Park, Hong-Soo;Jo, Hye-Jin;Shim, Il-Woo;You, Hyuk-Jae;Kim, Young-Chan
    • Journal of the Korean Applied Science and Technology
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    • v.22 no.2
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    • pp.116-122
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    • 2005
  • Room temperature cure type of acryl-urethane coatings with high solid content were prepared in this study. Acrylic resins with 80% solid content were cured with hexamethylene diisocyanate (Desmodure N-3600). The cure time of prepared coatings BEHCC-84 (BEHC-84 : $T_g=0^{\circ}C$) and BEHCC-87 (BEHC-87 : $T_g=30^{\circ}C$), measured by rigid-body pendulum method, was recorded 8.3 hours and 3.8 hours, respectively. Dynamic viscoelastic experiment also revealed the glass transition temperature of BEHCC-84 and BEHCC-87 to be $T_g=40.3^{\circ}C$ and $T_g=43.3^{\circ}C$, respectively. It was found that the adhesion and flexural properties among various propeties of coatings were enhanced by the incorporation of caprolactone acrylate monomer into the acrylic resins.

Preparation and Physical Properties of High-Solid Coatings by Acrylic Resins and Hexamethylene Diisocyanate-Biuret (아크릴수지와 헥사메틸렌 디이소시아네이트-뷰렛에 의한 고 고형분 도료의 제조 및 도막물성 연구)

  • 유혁재;정동진;박홍수;김성길;임완빈
    • Polymer(Korea)
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    • v.28 no.3
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    • pp.273-280
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    • 2004
  • Acrylic resins (ethyl methacrylate-2-hydroxypropyl methacrylate-n-butyl acrylate-acrylic acid EHBCs) containing 80% of solid were synthesized. Then, high-solid coatings (ethyl methacrylate-2-hydroxypropyl methacrylate-n-butyl acrylate-acrylic acid/hexamethylene diisocyanate-biuret : EHBCNs) were prepared by curing of the acrylic resin with curing agent hexamethylene diisocyanate-biuret at room temperature. The cure time of prepared coatings EHBCN-4 (EHBC-4 : $T_{g}$ = $0^{\circ}C$) and EHBCN-7 (EHBC-7 : $T_{g}$ = 3$0^{\circ}C$), measured by rigid-body pendulum method, was recorded 6.2 hours and 4.5 hours, respectively. Dynamic viscoelastic experiment revealed the glass transition temperature of EHBCN-4 and EHBCN-7 to be $14^{\circ}C$ and $39^{\circ}C$, respectively. It was found that the adhesion and flexural properties among various properties of coatings were enhanced by the incorporation of caprolactone acrylate monomer into the acrylic resins.