• Title/Summary/Keyword: statics

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미분구적법을 이용한 곡선보의 내평면 진동분석

  • Gang Gi-Jun;Han Ji-Won
    • Proceedings of the Korean Institute of Industrial Safety Conference
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    • 2000.11a
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    • pp.17-26
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    • 2000
  • The early investigators into the in-plane vibration of rings were Hoppe $Hoppe ^{1)}$ and $Love ^{2)}$. $Love ^{2)}$ Improved on Hoppe's theory by allowing for stretching of the ring. $Lamb ^{3)}$ investigated the statics of incomplete ring with various boundary conditions and the dynamics of an incomplete free-free ring of small curvature. Den $Hartog ^{4)}$ used the Rayleigh-Ritz method for finding the lowest natural frequency of circular arcs with simply supported or clamped ends and his work was extended by Volterra and $Morell ^{5)}$ for the vibrations of arches having center lines in the form of cycloids, catenaries or parabolas.(omitted)

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Nonlinear Analysis of High Strength RC Columns Subjected to Axial Load and Biaxial Bending (2축 편심 축력을 받는 고강도 RC 기둥의 비선형해석)

  • 신성우;반병열;유석형;조문희;한경돈;이종원
    • Proceedings of the Korea Concrete Institute Conference
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    • 2001.11a
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    • pp.41-46
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    • 2001
  • The main objective of this study is to provide data on high strength concrete columns subjected to axial load and biaxial bending. For the design of biaxial bending, the approximate method (Bresler load contour method, PCA load contour method) is presented in ACI code. The present study investigate whether the methods are valid in high strength concrete and compare analysis results(by FEM method) with experimental results. Also, this study examines whether statics method and failure surface equation(by Hsu) are adequate.

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STUDIES ON BOUNDARY VALUE PROBLEMS FOR BILATERAL DIFFERENCE SYSTEMS WITH ONE-DIMENSIONAL LAPLACIANS

  • YANG, XIAOHUI;LIU, YUJI
    • Korean Journal of Mathematics
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    • v.23 no.4
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    • pp.665-732
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    • 2015
  • Existence results for multiple positive solutions of two classes of boundary value problems for bilateral difference systems are established by using a fixed point theorem under convenient assumptions. It is the purpose of this paper to show that the approach to get positive solutions of boundary value problems of finite difference equations by using multi-fixed-point theorems can be extended to treat the bilateral difference systems with one-dimensional Laplacians. As an application, the sufficient conditions are established for finding multiple positive homoclinic solutions of a bilateral difference system. The methods used in this paper may be useful for numerical simulation. An example is presented to illustrate the main theorems. Further studies are proposed at the end of the paper.

FINITE NON-NILPOTENT GENERALIZATIONS OF HAMILTONIAN GROUPS

  • Shen, Zhencai;Shi, Wujie;Zhang, Jinshan
    • Bulletin of the Korean Mathematical Society
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    • v.48 no.6
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    • pp.1147-1155
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    • 2011
  • In J. Korean Math. Soc, Zhang, Xu and other authors investigated the following problem: what is the structure of finite groups which have many normal subgroups? In this paper, we shall study this question in a more general way. For a finite group G, we define the subgroup $\mathcal{A}(G)$ to be intersection of the normalizers of all non-cyclic subgroups of G. Set $\mathcal{A}_0=1$. Define $\mathcal{A}_{i+1}(G)/\mathcal{A}_i(G)=\mathcal{A}(G/\mathcal{A}_i(G))$ for $i{\geq}1$. By $\mathcal{A}_{\infty}(G)$ denote the terminal term of the ascending series. It is proved that if $G=\mathcal{A}_{\infty}(G)$, then the derived subgroup G' is nilpotent. Furthermore, if all elements of prime order or order 4 of G are in $\mathcal{A}(G)$, then G' is also nilpotent.

A Derivation of the Equilibrium Point for a Controller of a Wheeled Inverted Pendulum with Changing Its Center of Gravity (무게중심이 변동되는 차륜형 역진자의 평형점 상태에 관한 연구)

  • Lee, Se-Han
    • Journal of Institute of Control, Robotics and Systems
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    • v.18 no.5
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    • pp.496-501
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    • 2012
  • An equilibrium point of a WIP (Wheeled Inverted Pendulum) with changing its center of gravity is derived and validated by various numerical simulations. Generally, the WIP has two equilibrium points which are unstable and stable one. The unstable one is interested in this study. To keep the WIP over the unstable equilibrium point, the WIP is consistently being adjusted. A state feedback controller for the WIP needs a control reference for the equilibrium point. The control reference can be obtained by studying an equilibrium point of the WIP based on statics. By using Lagrange method, this study is deriving dynamic equations of the WIP both with and without changing its center of gravity. Various numerical simulations are carried out to show the validation of the equilibrium point.

Molecular Dynamics Simulations on the Mechanical Behavior of Carbon Nanotube (탄소나노튜브의 역학적 거동에 관한 분자동역학 전산모사)

  • Park, Jong-Youn;Lee, Young-Min;Jun, Suk-Ky;Kim, Sung-Youb;Im, Se-Young
    • Proceedings of the KSME Conference
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    • 2003.04a
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    • pp.1083-1088
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    • 2003
  • Molecular dynamics simulations on the deformation behavior of single-walled carbon nanotube are performed. Formation energies of CNT's by interatomic potentials are computed and compared with ab initio results. Bending and axial compression are applied under lattice statics and NVT ensemble conditions. Specifically, we focus on the mechanism of kink formation in bending. The simulation results are comprehensively explained in the framework of atomistic energetics. The effects of temperature and chirality on the deformation of carbon nanotube are also studied.

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Development of Two Types of Novel Planar Translational Parallel Manipulators by Using Parallelogram Mechanism (평행사변형 기구를 이용한 평면 병렬형 병진운동 기구 개발)

  • Kim, Han-Sung
    • Journal of the Korean Society for Precision Engineering
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    • v.24 no.8 s.197
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    • pp.50-57
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    • 2007
  • In this paper, two types of novel planar Translational Parallel Manipulators (TPMs) by using parallelogram mechanism are conceived. One is made up of two Pa-P (Parallelogram-Prismatic) legs connecting the base to the moving platform. The other consists of two P-Pa legs, which is the kinematic inversion of the former. Since connecting links in a parallelogram mechanism are subject to only tensile/compressive load and all the heavy actuators are mounted at the base, the proposed manipulators can be applied for planar positioning/assembly tasks requiring high stiffness and high speed. The position, velocity, and statics are analyzed, and the design methodology using prescribed workspace and velocity transmission capability is presented. Finally, two types of prototype manipulators have been developed.

The Study on Designing and Making Power Lifting Wheelchair using Mecanum Wheels (메카넘 바퀴를 적용한 리프팅 휠체어의 설계 및 제작에 관한 연구)

  • Jo, Jang-Hyen;Hwang, Byung-Jun
    • Journal of the Korean Society for Precision Engineering
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    • v.28 no.2
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    • pp.211-218
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    • 2011
  • We reported the design, prototype, test drive, and mechanical & electrical engineering analyses of a power-lifting wheelchair using mecanum wheels. Mecanum wheels enable translational and rotational movement of the device in any direction on the ground. The power-lifting capability enables the seated individual to reach the standing height of a non-disabled individual. This mecanum wheelchair is fully controlled by the joystick attached to the armrest. The motion of the wheelchair and lifting action of the seat were studied using statics and dynamics. We believe this mecanum wheelchair is a prime candidate for commercial production.

Biomechanical Comprehension of Knee Joint (무릎 관절의 생역학적 이해)

  • Kwon Young-Shil;Lee Jin-Hee;Jung Byong-Ok;Bae Sung-Soo;Kim Jin-Sang
    • The Journal of Korean Physical Therapy
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    • v.11 no.1
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    • pp.167-177
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    • 1999
  • Biomechanics is an important scientific foundation of physical therapy and is used to relate kinematics, kinetics, statics and dynamics for comprehencing human movement. The knee is well studied for demonstrating biomechanical analyses of joint because of its simplicity. The purposes of this study were 1)to provide categories and concepts of biomechanics, 2) to apply these concepts to knee movement involving daily living and gait, and 3) to review current and preceeding researches about biomechanics of knee. Thus, physical therapiestes in clinic may be helped understand of movement which includes considerations of description and production related force, moment and power.

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A Study on the New Method for Structural Analysis and Design by MDO(Multidisciplinary Design Optimization) Methodology : Application to Structural Design of Flap Drive System (MDO기법에 의한 새로운 구조해석 및 설계기법 고찰: 플랩 구동장치의 구조설계에의 적용)

  • 권영주;방혜철
    • Korean Journal of Computational Design and Engineering
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    • v.5 no.2
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    • pp.184-195
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    • 2000
  • MDO (Multidisciplinary Design Optimization) methodology is an emerging new technology to solve a complicate structural analysis and design problem with a large number of design variables and constraints. In this paper MDO methodology is adopted through the use of computer aided systems such as Geometric Solid Modeller, Mesh Generator, CAD system and CAE system. And this paper introduces MDO methodology as a new method for structural analysis and design through the application to the structural design of flap drive system. In a MDO methodology application to the structural design of flap drive system, kinetodynamic analysis is done using a simple aerodynamic analysis model for the air flow over the flap surface instead of difficult aerodynamic analysis. Simultaneously the structural static analysis is done to obtain the optimum structural condition. And the structural buckling analysis for push pull rod is also done to confirm the optimum structural condition (optimum cross section shape of push pull rod).

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