• Title/Summary/Keyword: a generalized coordinate

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Multi-stage design procedure for modal controllers of multi-input defective systems

  • Chen, Yu Dong
    • Structural Engineering and Mechanics
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    • v.27 no.5
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    • pp.527-540
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    • 2007
  • The modal controller of single-input system cannot stabilize the defective system with positive real part of repeated eigenvalues, because some of the generalized modes are uncontrollable. In order to stabilize the uncontrollable modes with positive real part of eigenvalues, the multi-input system should be introduced. This paper presents a recursive procedure for designing the feedback controller of the multi-input system with defective repeated eigenvalues. For a nearly defective system, we first transform it into a defective one, and apply the same method to manage. The proposed methods are based on the modal coordinate equations, to avoid the tedious mathematic manipulation. As an application of the presented procedure, two numerical examples are given at end of the paper.

Numerical Simulation of Turbulent Flows Under a Plane Rate of Strain Condition in a Rotating $90^{\circ}$ Curved Duct (평면변형율 조건 하의 회전하는 $90^{\circ}$ 곡덕트 내 난류유동의 전산해석)

  • Kwon, Hyung-Joong;An, Jung-Soo;Choi, Young-Don
    • Proceedings of the KSME Conference
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    • 2000.04b
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    • pp.485-490
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    • 2000
  • The effect of curvature, rotation, variable cross-section can make very complex flow pattern in turbo-machinery such as Pumps, compressors, turbines, In this study of turbulent flow characteristics rotating $90^{\circ}$ curved duct under a Plane rate of strain condition is computationally analyzed. The objective of this study is to understand the complex turbulent flow phenomena in turbo-machinery passage by analyzing the modeled rotating $90^{\circ}$ curved duct flow. RSM(Reynolds Stress Model) was employed for the turbulence modeling of Reynolds stress in momentum equations proposed by Shin(1995). The three dimensional computational code which adopts RSM for trubulence modeling was newly developed for the generalized curvilinear coordinate.

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Sum-Rate Optimal Power Policies for Energy Harvesting Transmitters in an Interference Channel

  • Tutuncuoglu, Kaya;Yener, Aylin
    • Journal of Communications and Networks
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    • v.14 no.2
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    • pp.151-161
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    • 2012
  • This paper considers a two-user Gaussian interference channel with energy harvesting transmitters. Different than conventional battery powered wireless nodes, energy harvesting transmitters have to adapt transmission to availability of energy at a particular instant. In this setting, the optimal power allocation problem to maximize the sum throughput with a given deadline is formulated. The convergence of the proposed iterative coordinate descent method for the problem is proved and the short-term throughput maximizing offline power allocation policy is found. Examples for interference regions with known sum capacities are given with directional water-filling interpretations. Next, stochastic data arrivals are addressed. Finally, online and/or distributed near-optimal policies are proposed. Performance of the proposed algorithms are demonstrated through simulations.

Analyses and Measurements of Rotational Accuracy for Journal Shaft in a Scroll Compressor (스크롤 압축기 저어널 회전축의 궤적 계산 및 측정)

  • Park, Sang-Shin;Kim, Gyu-Ha;Lee, Jin-Kab
    • Tribology and Lubricants
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    • v.23 no.3
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    • pp.83-88
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    • 2007
  • This paper presents measurement processes of rotational accuracy and comparison of theoretical values in the main bearing of scroll compressor. The main bearing is a type of oil journal bearing, but it has an axial or helical groove. The generalized coordinate system method, which can handle this groove, is applied to calculate the pressure profile in the journal bearing. The orbits of journal shaft are calculated corresponding to the compressed gas forces and bearing reaction forces. Then, the orbits are measured using three-point method. The results are compared to that from analyses.

Numerical Simulation of the Formation of Linear Dunes

  • ZHANG Ruyan;SATO Yuko;KAN Makiko;KAWAMURA Tetuya
    • 한국전산유체공학회:학술대회논문집
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    • 2003.10a
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    • pp.211-212
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    • 2003
  • Three dimensional flow above a sand dune has been studied numerically by using Large-Eddy Simulation (LES) method. The movement of the sand which is formed by converging wind directions has been investigated. The numerical method employed in this study can be divided into three parts: (i) calculation of the air flow above the sand dune using MAC method with a generalized coordinate system; (ii) estimation of the sand transfer caused by the flow through the friction; (iii) determination of the shape of the sand surface. Since the computational area has been changed due to step (iii), (i)­(iii) are repeated. The simulated dune, which has initially elliptic cross section, extending at the converging direction which is known as linear dunes.

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Analysis of a Planar 3 DOF RCC Mechanism using Prismatic Joint Compliances (미끄럼 관절 콤플라이언스를 활용한 평면형 3 자유도 RCC 메카니즘의 해석)

  • 김희구;김동국;이병주
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1994.10a
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    • pp.611-616
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    • 1994
  • Most of Commercial Remote Center Compliance(RCC) devices have been designed using deforma ble structures. In this work, we propose another type of assembly devices which generate the compliance effec ts by attaching the compliances (or spring) at the prismatic joints of the griven mechainsm. First, the kinematic analysis for a parallel-type planar 3-degree-of-freedom mechanism is performed using modified transfer method of generalized coordinate. Then, compliance characteristics for the mechanism using prismatic joint compliances are investigated. In particular, when the system maintains its symmetric configuration, the mechanism is show n to have RCC points at the center of the workspace. Finally, sensitivity analysis around RCC points is perfor med.

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Geometry and load effects on transient response of a VFGM annular plate: An analytical approach

  • Alavia, Seyed Hashem;Eipakchi, Hamidreza
    • Structural Engineering and Mechanics
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    • v.70 no.2
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    • pp.179-197
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    • 2019
  • In this article, the effect of different geometrical, materials and load parameters on the transient response of axisymmetric viscoelastic functionally graded annular plates with different boundary conditions are studied. The behavior of the plate is assumed the elastic in bulk and viscoelastic in shear with the standard linear solid model. Also, the graded properties vary through the thickness according to a power law function. Three types of mostly applied transient loading, i.e., step, impulse, and harmonic with different load distribution respect to radius coordinate are examined. The motion equations and the corresponding boundary conditions are extracted by applying the first order shear deformation theory which are three coupled partial differential equations with variable coefficients. The resulting motion equations are solved analytically using the perturbation technique and the generalized Fourier series. The sensitivity of the response to the graded indexes, different transverse loads, aspect ratios, boundary conditions and the material properties are investigated too. The results are compared with the finite element analysis.

NUMERICAL STUDY OF THE FORMATION OF LINEAR DUNES

  • Zhang Ruyan;Kan Makiko;Kawamura Tetuya
    • Journal of computational fluids engineering
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    • v.10 no.1
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    • pp.31-38
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    • 2005
  • Three-dimensional flow over the sand dunes have been studied numerically by using Large-Eddy Simulation (LES) method. In the direction of initial flow and span direction cyclic boundary conditions are imposed for velocity and pressure. The movement of the sand dune which is formed by converging wind direction has been investigated. The numerical method employed in this study can be divided into three parts: (i) calculation of the air flow over the sand dune using standard MAC method with a generalized coordinate system; (ii) estimation of the sand transfer caused by the flow through the friction; (iii) determination of the shape of the sand surface. Since the computational area has been changed due to step (iii), (i)-(iii) are repeated. The simulated dune, which has initially elliptic cross section, extends at the converging direction, which is known as linear dunes.

A Comparative Study of PISO, SIMPLE, SIMPLE-C Algorithms in 3-dimensional Generalized Coordinate Systems (3차원 일반 좌표계에서의 PISO, SIMPLE, SIMPLE-C 알고리즘의 비교)

  • Park J. Y.;Baek J. H.
    • Journal of computational fluids engineering
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    • v.1 no.1
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    • pp.26-34
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    • 1996
  • The performance of the SIMPLE, SIMPLE-C and PISO algorithms for the treatment of the pressure-velocity coupling in fluid flow problems were examined by comparing the computational effort required to obtain the same level of the convergence. Example problems are circular duct and 90-degree bent square-duct. For circular duct case, laminar and turbulent flow were computed. For 90-degree bent square-duct case, laminar flow was simulated by the time-marching method as well as the iterative method. The convergence speed of the other two algorithms are not always superior to SIMPLE algorithm. SIMPLE algorithm is faster than SIMPLE-C algorithm in the simple laminar flow calculations. The application of the PISO algorithm in three dimensional general coordinates is not so effective as in two-dimensional ones. Since computational time of PISO algorithm is increased at each time step(or iterative step) in three dimension, the total convergence speed is not decreased. But PISO algorithm is stable for large time step by using time marching method,.

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Shell Finite Element Based on B-Spline Representation for Finite Rotations (B-Spline 곡면 모델링을 이용한 기하비선형 쉘 유한요소)

  • 노희열;조맹효
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2003.10a
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    • pp.429-436
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    • 2003
  • A new linkage framework between elastic shell element with finite rotation and computar-aided geometric design (CAGD) (or surface is developed in the present study. The framework of shell finite element is based on the generalized curved two-parametric coordinate system. To represent free-form surface, cubic B-spline tensor-product functions are used. Thus the present finite element can be directly linked into the geometric modeling produced by surface generation tool in CAD software. The efficiency and accuracy of the Previously developed linear elements hold for the nonlinear element with finite rotations. To handle the finite rotation behavior of shells, exponential mapping in the SO(3) group is employed to allow the large incremental step size. The integrated frameworks of shell geometric design and nonlinear computational analysis can serve as an efficient tool in shape and topological design of surfaces with large deformations.

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