• Title/Summary/Keyword: linear equations

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The Effect of Oil Supply Conditions on the Dynamic Performance of a Hydrodynamic Journal Bearing

  • Son, Sang-Ik;Kim, Kyung-Woong
    • KSTLE International Journal
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    • v.10 no.1_2
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    • pp.6-12
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    • 2009
  • In this study, the effect of oil supply conditions on the dynamic performance of a hydrodynamic journal bearing is analyzed numerically. Axial length, circumferential length and location of oil grooves are considered as oil supply conditions. The perturbation equations of the perturbed film contents are obtained by applying Elrod's universal equation implementing JFO film rupture / reformation boundary conditions to Lund's infinitesimal perturbation method. The dynamic coefficients of a hydrodynamic journal bearing are calculated by solving the perturbation equations, and the linear stability analysis is carried out by using those for a variety of oil supply conditions.

Back-EMF Characteristic Comparison of Vertical and Halbach Permanent Magnet Linear Generator (수직 및 할박자화를 갖는 영구자석 선형발전기의 역기전력 특성비교)

  • Seo, Sung-Won;Koo, Min-Mo;Choi, Jang-Young;Kim, Kyong-Hwan
    • Proceedings of the KIEE Conference
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    • 2015.07a
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    • pp.794-795
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    • 2015
  • This paper deals with back-EMF characteristic comparison of Vertical and Halbach array double-sided linear generator with coreless type. On the basis of a magnetic vector potential and Maxwell's equations, governing equations are obtained, and magnetic modeling is predicting characteristic analysis by using the Fourier series expansion. And then, we obtained magnetic field solutions and calculated resistance, back-EMF constant. The analytical results used by 2-D cylindrical coordinate system. The analytical method used in this paper is confirmed by comparing with finite element analysis results.

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Recent Developments in Multibody Dynamics

  • Schiehlen Werner
    • Journal of Mechanical Science and Technology
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    • v.19 no.spc1
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    • pp.227-236
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    • 2005
  • Multibody system dynamics is based on classical mechanics and its engineering applications originating from mechanisms, gyroscopes, satellites and robots to biomechanics. Multibody system dynamics is characterized by algorithms or formalisms, respectively, ready for computer implementation. As a result simulation and animation are most convenient. Recent developments in multibody dynamics are identified as elastic or flexible systems, respectively, contact and impact problems, and actively controlled systems. Based on the history and recent activities in multibody dynamics, recursive algorithms are introduced and methods for dynamical analysis are presented. Linear and nonlinear engineering systems are analyzed by matrix methods, nonlinear dynamics approaches and simulation techniques. Applications are shown from low frequency vehicles dynamics including comfort and safety requirements to high frequency structural vibrations generating noise and sound, and from controlled limit cycles of mechanisms to periodic nonlinear oscillations of biped walkers. The fields of application are steadily increasing, in particular as multibody dynamics is considered as the basis of mechatronics.

EXISTENCE OF SOLUTIONS OF A CLASS OF IMPULSIVE PERIODIC TYPE BVPS FOR SINGULAR FRACTIONAL DIFFERENTIAL SYSTEMS

  • Liu, Yuji
    • Korean Journal of Mathematics
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    • v.23 no.1
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    • pp.205-230
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    • 2015
  • A class of periodic type boundary value problems of coupled impulsive fractional differential equations are proposed. Sufficient conditions are given for the existence of solutions of these problems. We allow the nonlinearities p(t)f(t, x, y) and q(t)g(t, x, y) in fractional differential equations to be singular at t = 0, 1 and be involved a sup-multiplicative-like function. So both f and g may be super-linear and sub-linear. The analysis relies on a well known fixed point theorem. An example is given to illustrate the efficiency of the theorems.

Dynamic Analysis of an Automatic Dynamic Balancer in a Rotor with the Bending Flexibility (축의 굽힘효과를 고려한 회전체에 장착된 자동평형장치의 동적해석)

  • Bang, In-Chang;Chung, Jin-Tai
    • Proceedings of the KSME Conference
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    • 2000.11a
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    • pp.629-634
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    • 2000
  • Dynamic behavior of an automatic dynamic balancer is analyzed by a theoretical approach. Using Lagrange's equation, we derive the non-linear equations of motion for an automatic dynamic balancer equipped in a rotor with the bending flexibility with respect to the rectangular coordinate. Considering the rotor bending flexibility we analyze out-of-plane vibrations as well as in-plane vibrations of the automatic dynamic balaner. The time responses are computed from the non-linear equations by using a time integration method. We also investigate the effect of rotor flexibility on the behavior of the automatic dynamic balancer

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An Efficient Parallel Algorithm for Solving Large Sparse Linear Systems of Equations (대형 Sparse 선형시스템 방정식을 풀기위한 효과적인 병렬 알고리즘)

  • Chae, Soo-Hoan;Lee, Jin
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.14 no.4
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    • pp.388-397
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    • 1989
  • This paper describes an intelligent iterative parallel algorithm for solving large sparse linear systems of equations, and proposes a ststic dataflow computer architechture for the implementation of the algorithm. Implemented with the Jacobi interative method, the intelligent algorithm reduces the parallel execution time by reducing the individual inner product operation time.

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Formulations of Linear and Nonlinear Finite Element for Dynamic Flexible Beam (유연보의 동역학 해석에 대한 선형 및 비선형 유한요소 정식화)

  • Yun Seong-Ho
    • Journal of the Korean Society for Precision Engineering
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    • v.23 no.2 s.179
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    • pp.113-121
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    • 2006
  • This paper established the dynamic model of a flexible Timoshenko beam capable of geometrical nonlinearities subject to large overall motions by using the finite element method. Equations of motion are derived by using Hamilton principle and are formulated in terms of finite elements using CO elements in which the nonlinear constraint equations are adjoined to the system using Lagrange multipliers. In the final formulation are presented Coriolis and Gyroscopic forces as well as linear and nonlinear stiffnesses effects for the forthcoming numerical computation.

Dynamics Analysis and Simulation of a Passive Suspension System Using 7 DOF Full Car Model (7 DOF 차량 모델을 이용한 자동차 현가장치 동력학 해석 및 시뮬레이션에 관한 연구)

  • 노태수;정길도;홍동표
    • Transactions of the Korean Society of Automotive Engineers
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    • v.5 no.2
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    • pp.31-41
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    • 1997
  • Equations of motion for a 7 DOF full car model is developed in detail and used for the design of LQR based active suspension system. The frequency response to road disturbance input and the motion of a car passing unequal bumps were used to analyzed the dynamic characteristics of the 7 DOF full car with passive or active suspensions. The resulting linear equations of motion may be usefull in designing other types of active suspension.

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A Toolpath Generation for CNC Machining of Free-form Surfaces (자유 곡면의 CNC 가공을 위한 가공경로의 생성)

  • Seong, Wan;Choi, Chong-Ho;Song, O-Sok
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.4 s.97
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    • pp.129-137
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    • 1999
  • A parametric curve interpolator has been proposed for machining curves instead of a linear interpolator in which curves are approximated by a set of line segment. The parametric curve interpolator is superior to linear interpolator in machining time and contour error and generate exact position commands directly from curve equations. In this paper, a new toolpath generation method is proposed based on the parametric curve interpolator. This method retains all the benefits of parametric curve interpolator and can bound the scallop height within a specified value. By interpolating curves and surfaces directly from the mathematical equations, the amount of data from CAD/CAM system to CNC controller can be significantly reduced. The proposed method was implemented on a CNC controller and was confirmed to give a better result than the other existing method.

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A Novel Authenticated Group Key Distribution Scheme

  • Shi, Run-hua;Zhong, Hong;Zhang, Shun
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.10 no.2
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    • pp.935-949
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    • 2016
  • In this paper, we present a novel authenticated group key distribution scheme for large and dynamic multicast groups without employing traditional symmetric and asymmetric cryptographic operations. The security of our scheme is mainly based on the basic theories for solving linear equations. In our scheme, a large group is divided into many subgroups, where each subgroup is managed by a subgroup key manager (SGKM) and a group key generation center (GKGC) further manages all SGKMs. The group key is generated by the GKGC and then propagated to all group members through the SGKMs, such that only authorized group members can recover the group key but unauthorized users cannot. In addition, all authorized group members can verify the authenticity of group keys by a public one-way function. The analysis results show that our scheme is secure and efficient, and especially it is very appropriate for secure multicast communications in large and dynamic client-server networks.