• Title/Summary/Keyword: Action equations

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Stability analysis of semi-rigid composite frames

  • Wang, Jing-Feng;Li, Guo-Qiang
    • Steel and Composite Structures
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    • v.7 no.2
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    • pp.119-133
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    • 2007
  • Based on stability theory of current rigid steel frames and using the three-column subassemblage model, the governing equations for determining the effective length factor (${\mu}$-factor) of the columns in semirigid composite frames are derived. The effects of the nonlinear moment-rotation characteristics of beam-to-column connections and composite action of slab are considered. Furthermore, using a two-bay three-storey composite frame with semi-rigid connections as an example, the effects of the non-linear moment-rotation characteristics of connections and load value on the ${\mu}$-factor are numerically studied and the ${\mu}$-factors obtained by the proposed method and Baraket-Chen's method are compared with those obtained by the exact finite element method. It was found that the proposed method has good accuracy and can be used in stability analysis of semi-rigid composite frames.

A SURVEY OF N-STRING TANGLE ANALYSES OF DNA-ENZYME SYNAPTIC COMPLEXES

  • KIM, SOOJEONG;MOON, HYEYONG
    • Journal of applied mathematics & informatics
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    • v.35 no.3_4
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    • pp.349-369
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    • 2017
  • In last 30 years, mathematical tangle theory is applied to molecular biology, especially to DNA topology. The recent issues and research results of this topic are reviewed in this paper. We introduce a tangle which models an enzyme-DNA complex. The studies of 2-string tangle equations related to Topoisomerase II action and site-specific recombination is discussed. And 3-string tangle analysis of Mu-DNA complex, n-string tangle analysis ($n{\geq}4$) of DNA-enzyme synaptic complexes are also discussed.

Development of an integrative cardiovascular system model including cell-system and arterial network (세포-시스템 차원의 혈류역학적 심혈관 시스템 모델의 개발)

  • Shim, Eun-Bo;Jun, Hyung-Min
    • 한국전산유체공학회:학술대회논문집
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    • 2008.03b
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    • pp.542-546
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    • 2008
  • In this study, we developed a whole cardiovascular system model combined with a Laplace heart based on the numerical cardiac cell model and a detailed arterial network structure. The present model incorporates the Laplace heart model and pulmonary model using the lumped parameter model with the distributed arterial system model. The Laplace heart plays a role of the pump consisted of the atrium and ventricle. We applied a cellular contraction model modulated by calcium concentration and action potential in the single cell. The numerical arterial model is based upon a numerical solution of the one-dimensional momentum equations and continuity equation of flow and vessel wall motion in a geometrically accurate branching network of the arterial system including energy losses at bifurcations. For validation of the present method, the computed pressure waves are compared with the existing experimental observations. Using the cell-system-arterial network combined model, the pathophysiological events from cells to arterial network are delineated.

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A Novel Approach to the Design of Discrete Adative Pole Assignment Controller with Integral Action (적분기를 갖는 직접 적응 극 배치 제어기의 새로운 설계 기법)

  • Kim, Jong-Hwan;Lee, Ju-Jang;Kim, Tai-Hyun
    • Proceedings of the KIEE Conference
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    • 1990.07a
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    • pp.60-63
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    • 1990
  • This note presents a direct adaptive pole assignment control for general discrete, linear, time-invariant, nonmimum phase system.Controller parameters are estimated from the recursive least-squares algorithm, and some additional auxiliary parameters are obtained from aset of recursive equations based on a certain polynomial identity which is derived from the pole assignment equation and the Bezout identity. This scheme increase the numerical stability of the auxiliary parameters, and guarantees local convergence without any extra conditions for the external input. The effectiveness of the proposed scheme is demonstrated by the computer simulation.

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Simplified equations for Vierendeel design calculations of composite beams with web openings

  • Panedpojaman, Pattamad
    • Steel and Composite Structures
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    • v.27 no.4
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    • pp.401-416
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    • 2018
  • Composite beams with web openings are vulnerable to Vierendeel bending failure. The available methods provide quite conservative estimates of Vierendeel bending resistance. An alternative design method to compute the resistance was proposed in this study, based on quadratic nonlinear interactions of normalized shear force, axial force and Vierendeel bending moment. The interactions of the top and bottom Tee section must satisfy mutual conditions to prevent the Vierendeel failure. The normalized shear force and Vierendeel bending moment of the composite part were used instead in the top Tee interaction. The top Tee axial force was computed based on force equilibrium. Based on a rigid-plastic model, the composite resistance is estimated using an effective slab width of the vertical shear resistance. On using the proposed method, nonlinear reductions due to shear loads and axial forces are not required, in contrast to prior methods. The proposed method was validated against experiments from literature. The method limitations and accuracy as well as the Vierendeel behavior were investigated by finite element simulations, with varied composite beam parameters. The proposed design loads are less conservative than earlier estimates and deviate less from the simulations.

Integrity Assessment for Reinforced Concrete Structures Using Fuzzy Decision Making (퍼지의사결정을 이용한 RC구조물의 건전성평가)

  • 박철수;손용우;이증빈
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2002.04a
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    • pp.274-283
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    • 2002
  • This paper presents an efficient models for reinforeced concrete structures using CART-ANFIS(classification and regression tree-adaptive neuro fuzzy inference system). a fuzzy decision tree parttitions the input space of a data set into mutually exclusive regions, each of which is assigned a label, a value, or an action to characterize its data points. Fuzzy decision trees used for classification problems are often called fuzzy classification trees, and each terminal node contains a label that indicates the predicted class of a given feature vector. In the same vein, decision trees used for regression problems are often called fuzzy regression trees, and the terminal node labels may be constants or equations that specify the Predicted output value of a given input vector. Note that CART can select relevant inputs and do tree partitioning of the input space, while ANFIS refines the regression and makes it everywhere continuous and smooth. Thus it can be seen that CART and ANFIS are complementary and their combination constitutes a solid approach to fuzzy modeling.

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Transient response of a piezoelectric layer with a penny-shaped crack under electromechanical impacts

  • Feng, Wenjie;Li, Yansong;Ren, DeLiang
    • Structural Engineering and Mechanics
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    • v.23 no.2
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    • pp.163-175
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    • 2006
  • In this paper, the dynamic response of a piezoelectric layer with a penny-shaped crack is investigated. The piezoelectric layer is subjected to an axisymmetrical action of both mechanical and electrical impacts. Two kinds of crack surface conditions, i.e., electrically impermeable and electrically permeable, are adopted. Based upon integral transform technique, the crack boundary value problem is reduced to a system of Fredholm integral equations in the Laplace transform domain. By making use of numerical Laplace inversion the time-dependent dynamic stress and electric displacement intensity factors are obtained, and the dynamic energy release rate is further derived. Numerical results are plotted to show the effects of both the piezoelectric layer thickness and the electrical impact loadings on the dynamic fracture behaviors of the crack tips.

Analytic Investigation of Multi-Component Elastic Cables under 3-D Concentrated Static Loads (3차원 정적 집중하중을 받는 복합 탄성 케이블의 정적 해석)

  • Choi, Yoon-Rak
    • Journal of Ocean Engineering and Technology
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    • v.28 no.3
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    • pp.193-198
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    • 2014
  • An elastic cable with piecewise constant properties under the action of concentrated static loads is studied analytically. Analytic solutions for catenary cables are combined at the discontinuous points caused by the discontinuous elastic properties or concentrated loads. The application of the boundary conditions at both ends of the multi-component cable results in three algebraic non-linear equations for three unknown parameters, which are determined numerically. The solutions for the shape, tension, elongation, and cross-sectional contraction of the cable are expressed in closed forms. Some examples are given for cases of two- and three-dimensional loads.

Ship Collision Avoidance System Considering Ship' Maneuverability

  • Lee, Seung-Keon;Surendran, S.;Im, Nam-Kyun;Hwang, Sung-Jun
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
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    • v.1
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    • pp.95-100
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    • 2006
  • A ship collision avoidance system is developed to control the avoidance action of ship actually and properly in wind forces. The 4-DOF maneuvering equations of motion ar derived to catty out the simulation of the motion of a ship, and the wind forces are considered as the external forces in the simulation. This study suggests a new avoidance system that could include the ship's maneuvering characteristics.

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Finite Element Analysis of Electromechanical Field of a Spindle Motor in a Computer Hard Disk Drive Considering Speed Control Using PWM and Mechanical Flexibility (PWM에 의한 속도 제어와 유연 구조를 고려한 컴퓨터 하드디스크 드라이브용 스핀들 모터의 기전 연성 유한 요소 해석)

  • Jang, Jeong-Hwan;Jang, Geon-Hui
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.51 no.9
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    • pp.499-508
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    • 2002
  • This paper presents a finite element analysis of the electromechanical field in the spindle motor of a computer hard disk drive considering the speed control and mechanical flexibility. The driving circuit equation is modified by considering the switching action of PWM inverter, and is coupled with the Maxwell equation to obtain the nonlinear time-stepping finite element equation for the analysis of magnetic field. Magnetic force and torque are calculated by the Maxwell stress tensor. Mechanical motion of a rotor is determined by a time-stopping finite element method considering the flexibility of shaft, rotor and bearing. Both magnetic and mechanical finite element equations are combined in the closed loop to control the speed using PWM. Simulation results are verified by the experiments, and they are in food agreement with the experimental results.