• Title/Summary/Keyword: Series Expansion

Search Result 687, Processing Time 0.035 seconds

Application of graded harmonic FE in the analysis of 2D-FGM axisymmetric structures

  • Karakas, Ali I.;Daloglu, Ayse T.
    • Structural Engineering and Mechanics
    • /
    • v.55 no.3
    • /
    • pp.473-494
    • /
    • 2015
  • A graded harmonic finite element formulation based on three-dimensional elasticity theory is developed for the structural analysis of 2D functionally graded axisymmetric structures. The mechanical properties of the axisymmetric solid structures composed of two different metals and ceramics are assumed to vary in radial and axial directions according to power law variations as a function of the volume fractions of the constituents. The material properties of the graded element are calculated at the integration points. Effects of material distribution profile on the static deformation, natural frequency and dynamic response analyses of particular axisymmetric solid structures are investigated by changing the power law exponents. It is observed that the displacements, stresses and natural frequencies are severely affected by the variation of axial and radial power law exponents. Good accuracy is obtained with fewer elements in the present study since Fourier series expansion eliminates the need of finite element mesh in circumferential direction and continuous material property distribution within the elements improves accuracy without refining the mesh size in axial and radial directions.

Effective Calculation Method Finding the Limit of Voltage-Stability (효율적인 전압안정도 한계점 계산에 관한 연구)

  • Song, K.Y.;Kim, S.Y.;Choi, S.G.
    • Proceedings of the KIEE Conference
    • /
    • 1991.11a
    • /
    • pp.35-38
    • /
    • 1991
  • Recent, problems on the voltage-instability have been paid attention in power system and methods to find the limit of voltage-stability, concerned with these problems, were developed. However, these methods are short of precision on the limit of voltage-instability. Here, using the second-order load flow, constraint equation(d Pi/d Vi=0) and its patial differentiations are precisely formulated. Also, since the taylor series expansion of power flow equations terminates at the second-order terms, partial differentiations of constraint equation, that is Hessian, are constant. Then, Hessian matrix are calculated once during iteration process.

  • PDF

Force Characteristic Analysis of Linear Switched Reluctance Motor according to Design Parameter (설계 변수에 따른 리니어 스위치드 릴럭턴스 전동기의 힘특성 해석)

  • Jang, Seok-Myeong;Park, Ji-Hoon;Choi, Jang-Young;You, Dae-Joon;Ko, Kyoung-Jin;Sung, Ho-Kyung
    • Proceedings of the KIEE Conference
    • /
    • 2008.04c
    • /
    • pp.77-79
    • /
    • 2008
  • This paper deals with extraction of design parameters of Linear Switched Reluctance Motor (LSRM) based on force calculation using space harmonic analysis, 2D Finite Element Method (FEM) and experimental measurement. First, analytical solutions for flux density due to mover winding currents are derived in terms of magnetic vector potential and a 2D rectangular coordinate system, for the case when the mover is located at aligned and unaligned position. The analytical results are compared with those obtained from a 2D FEM Second, using Fourier series expansion, this paper predicts the force profile of LSRM analytically.

  • PDF

Development of Alternative Algorithms to the Decoupled Load Flow (Decoupled Load Flow 알고리즘에 대한 유용한 대안 알고리즘들의 개발)

  • Lee, Seung-Chul;Park, Sang-Soo;Park, Kyung-Bae
    • The Transactions of the Korean Institute of Electrical Engineers A
    • /
    • v.48 no.12
    • /
    • pp.1514-1519
    • /
    • 1999
  • This paper presents two flexible alternatives to the decoupled load flow(DCL) method. The proposed load flow methods can improve the convergence profiles of the DCL by reflecting in part the effects of the off-diagonal terms in the Jacobian at minimal costs. They can improve the convergence characteristics especially when the power system operating states deviate from the conditions required for stable convergence of the DCL and the P-Q coupling becomes significant. Two algorithms are obtained from the expression of the full Newton-Raphson load flow (NRL) method by successively diminishing the effects of the off-diagonal submatrices in the Jacobian. In the process of simplification, the Neuman series expansion is utilized. Test results show promising performances of the proposed algorithms in their convergence characteristics both in number of iterations and overall convergence speeds. Proposed algorithms are expected to provide flexible alternatives to the NRL when the DCL experiences convergence problems.

  • PDF

DC Link Currents in Frequency Domain for Three-Phase AC/DC/AC PWM Converters

  • Park Young-Wook;Lee Dong-Choon;Seok Jul-Ki
    • Proceedings of the KIPE Conference
    • /
    • 2001.10a
    • /
    • pp.169-173
    • /
    • 2001
  • In this paper, dc link ripple currents for three-phase ac/dc/ac PWM converters are ana lysed in a frequency domain. The expression of the harmonic currents is developed by using switching functions and exponential Fourier series expansion. The dc link ripple currents with regard to power factor and modulation index are investigated. In addition, the effect of the displacement angle between the switching periods of line-side converters and load-side inverters on the dc link ripple current is studied. The result of the dc link current analysis is helpful in specifying the dc link capacitor size and its lifetime estimation.

  • PDF

Frequency Response Characteristics of Automotive Hydraulic Pipelines (자동차용 유압관로의 주파수 응답 특성)

  • Kim, Do-Tae
    • Transactions of the Korean Society of Automotive Engineers
    • /
    • v.15 no.6
    • /
    • pp.177-182
    • /
    • 2007
  • In this paper, automotive hydraulic pipeline systems are modeled in which a straight blocked pipe, two pipes with sudden expansion or contraction are connected in series and terminated with a chamber. The frequency response characteristics of these composite pipeline systems are investigated experimentally. The theoretical analysis for various pipe configurations is base on transfer matrix method with frequency dependent viscous friction distributed parameter pipeline model. The gain and phase of transfer functions are included for comparison with experimental results. There is close agreement between the results of experimental and theoretical determination of pressure response in automotive hydraulic pipeline systems.

Sensitivity Analysis of Design Parameters for Reduction of Cogging Torque in Brushless DC Motors used for Automobile Part (자동차 부품용 BLDC 모터 내의 코깅 토크 저감을 위한 설계 변수의 민감도 해석)

  • 황상문
    • Transactions of the Korean Society of Automotive Engineers
    • /
    • v.6 no.2
    • /
    • pp.235-243
    • /
    • 1998
  • For motor operation at low speeds and loads, torque pulsation by the cogging torque is often a source of vibration and control difficulty. In this paper, the magnetic field of a motor is calculated by finite element method. The periodic cogging torque is determined using Maxwell stress method and time stepping method, and then decomposed using fourier series expansion, The purpose of this paper is to characterize design parameters on the cogging torque and to design a permanent magnet motor with a cogging torque less vulnerable to vibration, without sacrificing the motor performance. The design parameters include stator slot width, permanent magnet slot width, airgap length and magnetization direction. A new design with a less populated frequency spectrum of the cogging torque is proposed after characterizing individual effect of design parameters. Magnet pole edge shaping, by gradually increasing the cogging torque with reduced higher harmonics.

  • PDF

Free Vibration of a Rectangular Plate Partially in Contact with a Liquid at Both Sides (양면에서 부분적으로 유체와 접하는 사각평판의 고유진동)

  • Jeong, Kyeong-Hoon;Lee, Gyu-Mahn;Kim, Tae-Wan
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
    • /
    • 2007.11a
    • /
    • pp.42-47
    • /
    • 2007
  • An analytical method for the free vibration of a flexible rectangular plate in contact with water is developed by the Rayleigh.Ritz method. The plate clamped along the edges is partially contacted with water at both sides. It is assumed that the water bounded by rigid walls is incompressible and inviscid. The wet mode shape of the plate is assumed as a combination of the dry mode shapes of a clamped beam. The liquid motion is described by using the liquid displacement potential and determined by using the compatibility conditions along the liquid interface with the plate. Minimizing the Rayleigh quotient based on the energy conservation gives an eigenvalue problem. It is found that the theoretical results can predict excellently the fluid.coupled natural frequencies comparing with the finite element analysis result.

  • PDF

Effect of Ground Subsidence on Reliability of Buried Pipelines (지반침하가 매설배관의 건전성에 미치는 영향)

  • 이억섭;김동혁
    • Journal of the Korean Society for Precision Engineering
    • /
    • v.21 no.1
    • /
    • pp.173-180
    • /
    • 2004
  • This paper presents the effect of varying boundary conditions such as ground subsidence, internal pressure and temperature variation for buried pipelines on failure prediction by using a failure probability model. The first order Taylor series expansion of the limit state function incorporating with von-Mises failure criteria is used in order to estimate the probability of failure mainly associated with three cases of ground subsidence. Using stresses on the buried pipelines, we estimate the probability of pipelines with von-Mises failure criterion. The effects of varying random variables such as pipe diameter, internal pressure, temperature, settlement width, load for unit length of pipelines, material yield stress and pipe thickness on the failure probability of the buried pipelines are systematically studied by using a failure probability model for the pipeline crossing ground subsidence regions which have different soil properties.

Analytical Study on the Free Vibration of Two Rectangular Plates Coupled with Fluid (유체로 연성된 두 직사각 평판의 고유진동에 관한 해석적 연구)

  • 유계형;정경훈;이성철
    • Proceedings of the Korean Society of Precision Engineering Conference
    • /
    • 2002.05a
    • /
    • pp.647-651
    • /
    • 2002
  • This study dealt with the free vibration of two identical rectangular plates coupled with fluid. In order to investigate the vibration characteristics of fluid-coupled rectangular plates, an analytical method based on the finite Fourier series expansion and Rayleigh-Ritz method was suggested. A commercial computer code, ANSYS was used to perform finite element analysis and we investigated the vibration characteristics with mode shapes and natural frequencies. As a result, the transverse vibration modes, in-phase and out-of-phase, were observed alternately in the fluid-coupled system. The effect of fluid bounding and plate boundary condition on the fluid-coupled natural frequency were investigated. It was shown that the mode numbers increased, the normalized natural frequencies monotonically increased.

  • PDF