• 제목/요약/키워드: boundary integral method

검색결과 389건 처리시간 0.022초

A Robust Dynamic Decoupling Control Scheme for PMSM Current Loops Based on Improved Sliding Mode Observer

  • Shen, Hanlin;Luo, Xin;Liang, Guilin;Shen, Anwen
    • Journal of Power Electronics
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    • 제18권6호
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    • pp.1708-1719
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    • 2018
  • A complete current loop decoupling control strategy based on a sliding mode observer (SMO) is proposed to eliminate the influence of current dynamic coupling and back electromotive force (EMF) in the vector control of permanent magnet synchronous motors. With this strategy, current dynamic decoupling and back EMF compensation can be simultaneously achieved. Unlike conventional methods, the proposed strategy can avoid the disturbances caused by the parametric variations of motor systems and maintain the advantages of proportional integral (PI) controllers, which are robust and easy to operate. An improved SMO, which uses a special PI regulator other than a linear saturation function as the equivalent control law in the boundary layer of a sliding surface, is proposed to eliminate the estimated errors caused by the quasi-sliding mode and obtain a satisfactory decoupling performance. The stability and parameter robustness of the proposed strategy are also analyzed. Physical experimental results are presented to verify the validity of the method.

Added effect of uncertain geometrical parameter on the response variability of Mindlin plate

  • Noh, Hyuk Chun;Choi, Chang Koon
    • Structural Engineering and Mechanics
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    • 제20권4호
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    • pp.477-493
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    • 2005
  • In case of Mindlin plate, not only the bending deformation but also the shear behavior is allowed. While the bending and shear stiffness are given in the same order in terms of elastic modulus, they are in different order in case of plate thickness. Accordingly, bending and shear contributions have to be dealt with independently if the stochastic finite element analysis is performed on the Mindlin plate taking into account of the uncertain plate thickness. In this study, a formulation is suggested to give the response variability of Mindlin plate taking into account of the uncertainties in elastic modulus as well as in the thickness of plate, a geometrical parameter, and their correlation. The cubic function of thickness and the correlation between elastic modulus and thickness are incorporated into the formulation by means of the modified auto- and cross-correlation functions, which are constructed based on the general formula for n-th joint moment of random variables. To demonstrate the adequacy of the proposed formulation, a plate with various boundary conditions is taken as an example and the results are compared with those obtained by means of classical Monte Carlo simulation.

Static and stress analyses of bi-directional FG porous plate using unified higher order kinematics theories

  • Mohamed, Salwa;Assie, Amr E.;Mohamed, Nazira;Eltaher, Mohamed A.
    • Steel and Composite Structures
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    • 제45권3호
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    • pp.305-330
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    • 2022
  • This article aims to investigate the static deflection and stress analysis of bi-directional functionally graded porous plate (BDFGPP) modeled by unified higher order kinematic theories to include the shear stress effects, which not be considered before. Different shear functions are described according to higher order models that satisfy the zero-shear influence at the top and bottom surfaces, and hence refrain from the need of shear correction factor. The material properties are graded through two spatial directions (i.e., thickness and length directions) according to the power law distribution. The porosities and voids inside the material constituent are described by different cosine functions. Hamilton's principle is implemented to derive the governing equilibrium equation of bi-directional FG porous plate structures. An efficient numerical differential integral quadrature method (DIQM) is exploited to solve the coupled variable coefficients partial differential equations of equilibrium. Problem validation and verification have been proven with previous prestigious work. Numerical results are illustrated to present the significant impacts of kinematic shear relations, gradation indices through thickness and length, porosity type, and boundary conditions on the static deflection and stress distribution of BDFGP plate. The proposed model is efficient in design and analysis of many applications used in nuclear, mechanical, aerospace, naval, dental, and medical fields.

Buckling of axially graded columns with varying power-law gradients

  • Li, X.F.;Lu, L.;Hu, Z.L.;Huang, Y.;Xiao, B.J.
    • Steel and Composite Structures
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    • 제45권4호
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    • pp.547-554
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    • 2022
  • This paper studies the static stability of an axially graded column with the power-law gradient varying along the axial direction. For a nonhomogeneous column with one end linked to a rotational spring and loaded by a compressive force, respectively, an Euler problem is analyzed by solving a boundary value problem of an ordinary differential equation with varying coefficients. Buckling loads through the characteristic equation with the aid of the Bessel functions are exactly given. An alternative way to approximately determine buckling loads through the integral equation method is also presented. By comparing approximate buckling loads with the exact ones, the approximate solution is simple in form and enough accurate for varying power-law gradients. The influences of the gradient index and the rotational spring stiffness on the critical forces are elucidated. The critical force and mode shapes at buckling are presented in graph. The critical force given here may be used as a benchmark to check the accuracy and effectiveness of numerical solutions. The approximate solution provides a feasible approach to calculating the buckling loads and to assessing the loss of stability of columns in engineering.

타원 기둥에 의한 자력 벡터 및 자력 변화율 텐서 반응식 (Expressions of Magnetic vector and Magnetic Gradient Tensor due to an Elliptical Cylinder)

  • 임형래;엄주영
    • 지구물리와물리탐사
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    • 제26권2호
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    • pp.77-83
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    • 2023
  • 이 논문에서는 타원 기둥 형태의 이상체에 의한 자력 벡터와 자력 변화율 텐서 반응식을 유도하였다. 화성암 관입이나 킴벌라이트 구조 등은 축 대칭성을 가지면서 주향 방향과 수직한 방향의 반지름이 서로 다른 타원 기둥 형태를 가지는 경우가 많다. 이런 타원 기둥의 자력 반응은 이전 논문에서 유도한 중력 변화율 텐서에 자화 방향에 대한 정보를 포함시킨 포아송 관계식을 이용하여 유도하였다. 타원 기둥의 자력 변화율 텐서는 벡터 자력을 미분하여 유도하는데 삼중 적분으로 표현되는 타원 기둥의 인력 퍼텐셜을 각 축방향으로 3회 미분한 총 10개의 삼중 미분 함수를 구하는 것과 동일하다. 미분과 적분의 순서는 바꾸는 것이 가능하므로 결과적으로 자력 변화율 텐서는 타원 기둥의 인력 퍼텐셜을 3회 미분한 후, 깊이 방향으로 적분하고 나머지 이중 적분은 복소 평면에서 타원 기둥의 단면을 폐곡선으로 하는 경로를 따라 선적분으로 변환하여 유도된다. 이 논문에서 복소 평면에서 선적분으로 유도한 자력 및 자력 변화율 텐서 반응식은 립쉬츠-한켈 적분으로 유도한 원기둥의 자력 및 자력 변화율 텐서 반응식과 완벽하게 일치함을 보였다.

연속식 용융아연도금 공정에서 단부 과도금 현상을 방지하기 위한 하향 대칭 분류유동 연구 (A Downwardly Deflected Symmetric Jet to prevent Edge Overcoating in Continuous Hot-Dip Galvanizing)

  • 안기장;정명균
    • 대한기계학회논문집B
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    • 제29권10호
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    • pp.1156-1162
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    • 2005
  • In this study, a noble method is proposed to prevent the edge overcoating (EOC) that may develop near the edge of the steel strip in the gas wiping process of continuous hot-dip galvanizing. In our past study (Trans. of the KSME (B), Vol. 27, No. 8, pp. $1105\~1113$), it was found that EOC is caused by the alternating vortices which are generated by the collision of two opposed jets in the region outside the steel strip. When the two opposed jets collide at an angle much less than $180^{o}$, non-alternating stable vortices are established symmetrically outside the steel strip, which lead to nearly uniform pressure on the strip surface. In order to deflect both jets downward by a certain angle, a cylinder with small diameter is installed tangentially to the exit of the lower lip of the two-dimensional jet. In order to find an optimum cylinder diameter, the three dimensional flow field is analysed numerically by using the commercial code, STAR-CD. And the coating thickness is calculated by using an integral analysis method to solve the boundary layer momentum equation. In order to compare the present noble method with the conventional baffle plate method to prevent the EOC, the flow field with a baffle plate is also calculated. The calculation results show that the tangentially installed cylinder at the bottom lip of the jet exit is more effective than the baffle plate to prevent EOC.

선형소자로 종단된 손실이 있는 다중 전송선의 FDTD 해석 (FDTD Analysis of Lossy Multiconductor Transmission Lines Terminated in Linear Loads)

  • 박범준;주재철;이형영;박동철
    • 한국전자파학회논문지
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    • 제11권3호
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    • pp.419-428
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    • 2000
  • 전송선 방정식을 이용하여 선형소자로 종단된 손실이 있는 다중 전송선에서의 누화(crosstalk)와 외부 전자파 에 의한 결합현상을 FDTD 기법으로 해석하였다. 표피효과에 의한 도체의 손실을 고려하여 해석할 경우 전송선 방정식에 컨벌루션 적분이 나타나게 되는데 컨벌루션 적분의 계산량을 줄이기 위해서 프로니(Prony) 방법을 이 용하였다. 또한 저항뿐만 아니라 인덕터나 커패시터로 종단된 다중 전송션을 해석하기 위해 상태변수 표현식 (state-variable formulation)을 이용하였다, TEM(Transverse Electromagnetic) 셀을 이용해서 다중 전송선에서의 누화와 외부 입사장에 의한 전자파 결합현상을 시간영역에서 측정하였고 이론적으로 구한 시율레이션 결과 와 비교하여 잘 일치함을 확인하였다. 또한 PCB와 같이 KSC 3340 TIV보다 상대적으로 손실이 큰 전송선 구조 인 경우 도체의 길이가 짧아도 손실을 포함해야 정확한 예측이 가능함을 확인하였고 저주파에서의 저항은 정상 시간 응답을 결정하고 고주파에서의 임피던스는 초기시간 응답을 결정함을 보였다.

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Nonlinear forced vibration of FG-CNTs-reinforced curved microbeam based on strain gradient theory considering out-of-plane motion

  • Allahkarami, Farshid;Nikkhah-bahrami, Mansour;Saryazdi, Maryam Ghassabzadeh
    • Steel and Composite Structures
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    • 제26권6호
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    • pp.673-691
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    • 2018
  • The main goal of this research is to examine the in-plane and out-of-plane forced vibration of a curved nanocomposite microbeam. The in-plane and out-of-plane displacements of the structure are considered based on the first order shear deformation theory (FSDT). The curved microbeam is reinforced by functionally graded carbon nanotubes (FG-CNTs) and thus the extended rule of mixture is employed to estimate the effective material properties of the structure. Also, the small scale effect is captured using the strain gradient theory. The structure is rested on a nonlinear orthotropic viscoelastic foundation and is subjected to concentrated transverse harmonic external force, thermal and magnetic loads. The derivation of the governing equations is performed using energy method and Hamilton's principle. Differential quadrature (DQ) method along with integral quadrature (IQ) and Newmark methods are employed to solve the problem. The effect of various parameters such as volume fraction and distribution type of CNTs, boundary conditions, elastic foundation, temperature changes, material length scale parameters, magnetic field, central angle and width to thickness ratio are studied on the frequency and force responses of the structure. The results indicate that the highest frequency and lowest vibration amplitude belongs to FGX distribution type while the inverse condition is observed for FGO distribution type. In addition, the hardening-type response of the structure with FGX distribution type is more intense with respect to the other distribution types.

Large eddy simulation of wind effects on a super-tall building

  • Huang, Shenghong;Li, Q.S.
    • Wind and Structures
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    • 제13권6호
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    • pp.557-580
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    • 2010
  • A new inflow turbulence generation method and a combined dynamic SGS model recently developed by the authors were applied to evaluate the wind effects on 508 m high Taipei 101 Tower. Unlike the majority of the past studies on large eddy simulation (LES) of wind effects on tall buildings, the present numerical simulations were conducted for the full-scale tall building with Reynolds number greater than $10^8$. The inflow turbulent flow field was generated based on the new method called discretizing and synthesizing of random flow generation technique (DSRFG) with a prominent feature that the generated wind velocity fluctuations satisfy any target spectrum and target profiles of turbulence intensity and turbulence integral length scale. The new dynamic SGS model takes both advantages of one-equation SGS model and a dynamic production term without test-filtering operation, which is particular suitable to relative coarse grid situations and high Reynolds number flows. The results of comparative investigations with and without generation of inflow turbulence show that: (1) proper simulation of an inflow turbulent field is essential in accurate evaluation of dynamic wind loads on a tall building and the prescribed inflow turbulence characteristics can be adequately imposed on the inflow boundary by the DSRFG method; (2) the DSRFG can generate a large number of random vortex-like patterns in oncoming flow, leading to good agreements of both mean and dynamic forces with wind tunnel test results; (3) The dynamic mechanism of the adopted SGS model behaves adequately in the present LES and its integration with the DSRFG technique can provide satisfactory predictions of the wind effects on the super-tall building.

패널법에 의한 날개끝판부착 프로펠러의 해석 (Analysis of End-Plated Propellers by Panel Method)

  • 이창섭;문일성;김영기
    • 대한조선학회논문집
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    • 제32권4호
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    • pp.55-63
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    • 1995
  • 본 논문은 경계적분법에 의해 날개끝판이 부착된 프로펠러(EPP)의 성능을 해석하는 방법을 기술하고 있다. 나선 프로펠러 날개와 날개끝판을 사각형 판요소로 치환하고, 균일 세기의 쏘오스와 법선 다이폴을 분포하여 해석한다. 포텐셜을 기저로 하는 정식화 과정을 통해 적분방정식을 구하고, 나선날개와 날개끝판에서 동시에 법선방향 비침투조건을 만족시킴으로써 섭동 속도 포텐셜을 구하였다. Kutta조건은 반복작업을 통해 나선날개와 날개끝판의 뒷날에서 압력점프가 없어지도록 함으로써 만족시켰다. 예제계산을 통하여 날개끝판이 나선날개의 날개끝 부근의 하중을 증가시킴을 보였고, 동시에 날개끝판의 뒷날에 걸쳐 후연 보오텍스를 분산시킴으로써 강력한 날개끝 보오텍스의 형성을 피할 수 있음을 확인하였다. EPP의 성능을 추정한 결과는 실험결과와 좋은 일치를 보인다. 에너지절약 추진장치로 채택될 수 있는 EPP의 설계 및 해석을 위하여 본 연구에서 확립된 방법이 적용가능하리라 판단된다.

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