• Title/Summary/Keyword: 형상함수

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Free Vibration Analysis of Clamped Plates with Arbitrary Shapes Using Series Functions (급수 함수를 이용한 임의 형상 고정단 평판의 자유 진동 해석)

  • Kang, Sang-Wook
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.17 no.6 s.123
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    • pp.531-538
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    • 2007
  • A new method for free nitration analysis using series functions is proposed to obtain the eigenvalues of arbitrarily shaped, polygonal plates with clamped edges. Since a general solution used in the method satisfies the equation of motion for the transverse vibration of a plate, the method offers very accurate eigenvalues, compared to FEM or BEM results. In addition, the method can minimize the amount of numerical calculation because it has the advantage of not needing to divide the plate of interest. Two case studies show that the proposed method is valid and accurate when the eigenvalues by the proposed method are compared to those by FEM (NASTRAN) or another analytical method.

Torque Ripple Minimization of a Switched Reluctance Motor Using Fuzzy Controller (퍼지제어기를 이용한 스위치드 릴럭턴스 모터의 토크 맥동 저감 기법)

  • Ro, Hak-Sueng;Jeong, Hae-Gwang;Lee, Kyo-Beum
    • Proceedings of the KIPE Conference
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    • 2012.11a
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    • pp.223-224
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    • 2012
  • 본 논문은 퍼지 기반의 토크 분배 함수를 이용한 스위치드 릴럭턴스 모터의 토크 맥동 저감 기법을 제안한다. 일반적으로 스위치드 릴럭턴스 모터의 토크 맥동 저감 기법은 선행된 실험결과와 모터 파라미터의 변화에 대한 관측을 통해 오프라인으로 토크 분배 함수를 최적화한다. 이때, 모터의 높은 인덕턴스는 전류가 토크 분배 함수를 잘 추종하지 못하게 하여 의도치 않은 토크 맥동을 유발한다. 게다가 오프라인으로 토크 분배 함수를 계산하기 때문에 모델의 오차 및 변화에 따라 보상 성능이 저하 될 수 있다. 제안하는 제어기법은 퍼지 제어기를 이용하여 순시적으로 토크 분배 함수의 형상을 정정함으로써 토크 맥동을 저감한다. 시뮬레이션 결과를 통해 제안하는 제어기법의 우수성을 보인다.

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유전 알고리즘 기반 다단계 최적설계 방법을 이용한 웨이퍼 단면 연삭기 구조물의 최적설계

  • 박현만;최영휴;김동석;하상백;이상직
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2004.05a
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    • pp.321-321
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    • 2004
  • 본 연구에서는 웨이퍼 단면 연삭기 구조물의 경량화 고강성화 최적설계를 위하여 가변벌점함수 유전 알고리즘을 이용한 다단계 최적설계 방법을 적용하였다. 구조강성 최대화와 중량 최소화라는 상반된 성질의 목적함수를 최적화하기 위하여 강성의 역수 개념인 컴플라이언스(compliance)를 도입하여 목적함수론 최소화시키는 문제로 만들었으며, 가증방법(weighted method)을 이용하여 다목적 함수를 단일 목적함수로 변환시켰다. 부재 단면형상 최적화 단계와 정적설계 최적화 단계, 및 동적 설계 최적화 단계를 순차적으로 수행하는 다단계 최적설계를 방법을 연삭기 구조물의 최적설계에 적용하였다.(중략)

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Spatial Free Vibration and Stability Analysis of Thin-Walled Curved Beams with Variable Curvatures (곡률이 변하는 박벽 곡선보의 3차원 자유진동 및 좌굴해석)

  • 서광진;민병철;김문영
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.13 no.3
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    • pp.321-328
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    • 2000
  • An improved formulation of thin-wailed curved beams with variable curvatures based on displacement field considering the second order terms of finite semitangential rotations is presented. From linearized virtual work principle by Vlasov's assumptions, the total potential energy is derived and all displacement parameters and the warping functions are defined at cendtroid axis. In developing the thin-walled curved beam element having eight degrees of freedom per a node, the cubic Hermitian polynomials are used as shape functions. In order to verify the accuracy and practical usefulness of this study, free vibrations and buckling analyses of parabolic and elliptic arche shapes with mono-symmetric sections are carried out and compared with the results analyzed by ABAQUS' shell element.

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A prolate spheroidal head modeling of head related transfer function based on ray tracing formula (선추적공식을 이용한 머리전달함수의 회전타원체 형상 모델링)

  • Jo, Hyun;Park, Young-Jin;Park, Youn-Sik
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2008.04a
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    • pp.934-938
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    • 2008
  • To customize individual characteristics of HRTF, a spherical model has been used for structural modeling technique. A pseudo-code of prolate spheroidal HRTF caused by incident acoustic point source is already developed, and it can be used a head shadow filter for structural modeling of HRTF. In this research, to see the necessity and efficiency of spheroidal head modeling, ITD optimization is performed on CIPIC HRTF database. From given cost function, ITD-optimized spheroidal head model, whose ITD information is the most matched version of measured ITD information, is found by varying head parameters subject by subject. By comparing results of ITD-optimized spheroids and ITD-optimized spheres, we concluded that a spherical head model is more efficient way of generating head shadow effect than a spheroidal head model does.

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Grid Refinement Model in Lattice Boltzmann Method for Stream Function-Vorticity Formulations (유동함수-와도 관계를 이용한 격자볼츠만 방법에서의 격자 세밀화 모델)

  • Shin, Myung Seob
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.39 no.5
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    • pp.415-423
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    • 2015
  • In this study, we present a grid refinement model in the lattice Boltzmann method (LBM) for two-dimensional incompressible fluid flow. That is, the model combines the desirable features of the lattice Boltzmann method and stream function-vorticity formulations. In order to obtain an accurate result, very fine grid (or lattice) is required near the solid boundary. Therefore, the grid refinement model is used in the lattice Boltzmann method for stream function-vorticity formulation. This approach is more efficient in that it can obtain the same accurate solution as that in single-block approach even if few lattices are used for computation. In order to validate the grid refinement approach for the stream function-vorticity formulation, the numerical simulations of lid-driven cavity flows were performed and good results were obtained.

The configuration Optimization of Truss Structure (트러스 구조물의 형상최적화에 관한 연구)

  • Lim, Youn Su;Choi, Byoung Han;Lee, Gyu Won
    • Journal of Korean Society of Steel Construction
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    • v.16 no.1 s.68
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    • pp.123-134
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    • 2004
  • In this research, a multilevel decomposition technique to enhance the efficiency of the configuration optimization of truss structures was proposed. On the first level, the nonlinear programming problem was formulated considering cross-sectional areas as design variables, weight, or volume as objective function and behavior under multiloading condition as design constraint. Said nonlinear programming problem was transformed into a sequential linear programming problem. which was effective in calculation through the approximation of member forces using behavior space approach. Such approach has proven to be efficient in sensitivity analysis and different form existing shape optimization studies. The modified method of feasible direction (MMFD) was used for the optimization process. On the second level, by treating only shape design variables, the optimum problem was transformed into and unconstrained optimal design problem. A unidirectional search technique was used. As numerical examples, some truss structures were applied to illustrate the applicability. and validity of the formulated algorithm.

Comparison of Limit Strength of Steel Cable-Stayed Bridges using Nonlinear Inelastic Displacement and Buckling Analyses (비선헝 비탄성 유한변위 해석 및 좌굴해석에 의한 강사장교의 극한강도 비교)

  • Kim Sung-Eock;Choi Dong-Ho;Ma Sang-Soo;Song Weon-Keun
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.18 no.3
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    • pp.277-289
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    • 2005
  • The study examines the limit strength for steel cable-stayed bridges. A case studies have been performed in order to evaluate the limit strength lot steel cable-stayed bridges using nonlinear inelastic analysis approach and bifurcation point instability analysis approach, effective tangent modulus $(E_f)$ method. To realize it, a practical nonlinear inelastic analysis condoling the initial shape is developed. In the initial shape analysis, updated structural configuration is introduced instead of initial member forces for beam-column members at every iterative step. Geometric and material nonlinearities of beam-column members are accounted by using stability function, and by using CRC tangent modulus and parabolic function, respectively Besides, geometric nonlinearity of cable members is accounted by using secant value of equivalent modulus of elasticity. The load-displacement relationships obtained by the proposed method are compared well with those given by other approaches. The limit strengths evaluated by the proposed nonlinear inelastic analysis for the proposed cable-stayed bridges with tee dimensional configuration compared with those by the inelastic bifurcation point instability analyses.

Shape design of conformal array using the beam pattern synthesis (빔 패턴 성능 분석을 이용한 곡면 배열 형상 설계)

  • Lee, Keunhwa;Shin, Donghoon;Lim, Jun-Seok;Hong, Wooyoung;Ha, Younghoon
    • The Journal of the Acoustical Society of Korea
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    • v.40 no.4
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    • pp.347-358
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    • 2021
  • The objective of this study is to optimize the shape of doubly curved surface where a conformal array is equipped. That surface is modeled with a double-ellipsoid solid controlled by four parameters. By analyzing the performance of the conformal array beams with the beam pattern synthesis, two design parameters are determined. Then, we define the weighted object function which is formulated as the sum of sharp indexes for directivity index, the elevation resolution, and the bearing resolution. The direct calculation on all grids is used to evaluate the weighted object function and seek the optimal value of two design parameters when the weightings are given. In the simulation, four kinds of weighting cases are respectively applied to evaluate the weighted object function. The optimal shapes of double-ellipsoid solid are shown in each case. Especially, when the uniform weightings are used, the double-ellipsoid solid with more smooth surface is obtained.

Isogeometric Shape Design Optimization of Structures Subjected to Design-dependent Loads (설계 의존형 하중 조건을 갖는 구조물의 아이소-지오메트릭 형상 최적설계)

  • Yoon, Min-Ho;Koo, Bon-Yong;Ha, Seung-Hyun;Cho, Seon-Ho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.24 no.1
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    • pp.1-7
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    • 2011
  • In this paper, based on an isogeometric approach, we have developed a shape design optimization method for plane elasticity problems subjected to design-dependent loads. The conventional shape optimization using the finite element method has some difficulties in the parameterization of geometry. In an isogeometric analysis, however, the geometric properties are already embedded in the B-spline basis functions and control points so that it has potential capability to overcome the aforementioned difficulties. The solution space for the response analysis can be represented in terms of the same NURBS basis functions to represent the geometry, which yields a precise analysis model that exactly represents the normal and curvature depending on the applied loads. A continuum-based isogeometric adjoint sensitivity is extensively derived for the plane elasticity problems under the design-dependent loads. Through some numerical examples, the developed isogeometric sensitivity analysis method is verified to show excellent agreement with finite difference sensitivity.