• 제목/요약/키워드: linear equations mode

검색결과 153건 처리시간 0.022초

Short-Ended Electromagnetically Coupled Coaxial Dipole Array Antenna

  • Kim, Joong-Pyo;Lee, Chang-Won
    • Journal of electromagnetic engineering and science
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    • 제2권2호
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    • pp.87-92
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    • 2002
  • A short-ended electromagnetically coupled coaxial dipole array antenna is investigated theoretically. The antenna has an advantage of structural simplicity. The integral equations are derived for the proposed structure by use of the Fourier transform and mode expansion, and the simultaneous linear equations are obtained. The slot electric field and strip current are obtained by solving the simultaneous linear equations. The effects of slot and strip numbers on the radiation efficiency, beamwidth and directivity gain of the antenna are presented.

다물체계의 선형 동역학식을 이용한 대차의 진동 해석 (Vibration Analysis of a Bogie Using Linearized Dynamic Equations of a Multibody System)

  • 강주석
    • 한국철도학회논문집
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    • 제17권5호
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    • pp.321-327
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    • 2014
  • 본 연구에서는 구속된 다물체계의 비선형 운동방정식으로부터 QR분해법을 이용하여 선형 운동방정식을 유도하는 방법을 제시하였다. 다물체계의 선형 진동 방정식을 철도차량 대차에 적용하여 대차의 고유 진동모드를 구하고 레일의 변위 입력에 대한 대차프레임의 전달 함수를 구하여 대차의 진동 특성을 분석하였다. 대차의 고유 모드는 35Hz이하에서 나타났고 198Hz이상에서 국부모드가 계산되었다. 대차 프레임의 수직변위 전달함수는 수직변위 모드와 피치 모드가 속도에 영향을 받기 때문에 속도에 따라 변화하는 것으로 나타났다. 횡방향 전달함수는 매우 작게 나타났으며 전후방향 전달함수는 속도에 관계없이 전후방향 변위 모드가 주로 가진되는 것으로 나타났다.

비선형 경계조건을 가진 보의 정규모드진동 (Normal Mode Vibrations of a Beam with a Nonlinear Boundary Condition)

  • 김현기;이원경
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 1998년도 춘계학술대회논문집; 용평리조트 타워콘도, 21-22 May 1998
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    • pp.392-398
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    • 1998
  • In order to check the validity of nonlinear normal modes of continuous, systems by means of the energy-based formulation, we consider a beam with a nonlinear boundary condition. The initial and boundary e c6nsl of a linear partial differential equation and a nonlinear boundary condition is reduced to a linear boundary value problem consisting of an 8th order ordinary differential equations and linear boundary conditions. After obtaining the asymptotic solution corresponding to each normal mode, we compare this with numerical results by the finite element method.

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유사변환기법을 이용한 3차원 모델의 개발 (Developing a Three-dimensional Spectral Model Using Similarity Transform Technique)

  • 강관수;소재귀;정경태;선우중호
    • 한국해안해양공학회지
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    • 제5권2호
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    • pp.107-120
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    • 1993
  • 본 논문은 유사변환기법을 이용한 새로운 3차원 연직 모우드 전개 모델의 개발에 대하여 기술한다. 기본방정식을 External 모우드와 Internal 모우드로 분리시킨 다음 Internal 모우드식에 Galerkin 방법을 적용하고 구성되는 행열방정식에 유사변환기법을 적용, 기저함수의 계수 값을 구하였다. 최종 얻어지는 기저함수의 계수 값은 마찰장을 제외하고는 비연계되어 시간 간격의 제약을 거의 받지않고 연직 구조를 구할 수 있기 때문에 경제성면에서 탁월하다. 수립된 모델은 어떤 기저함수라도 적용 가능하나 현 단계에서는 Chebyshev 다항식함수가 사용되었으며, 바람응력은 일정한 것으로 가정하였다. 모델 테스트로서 정상상태의 균일한 바람응력이 가해지는 장방형 Basin에 적용하여 모델의 적용 가능성을 검증하였다.

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슬라이딩 모드를 이용한 로보트 매니퓰레이터의 실시간 제어에 관한 연구 (Study on Real Time Control of Robot Manipulator Using Sliding Mode)

  • 이민철
    • 대한기계학회논문집
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    • 제16권11호
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    • pp.2011-2020
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    • 1992
  • 본 연구에서는 실용성을 중시하는 산업계의 요구에 부응하여 해석이 용이하면 서도 강인성을 갖춘 제어 알고리즘을 제안하여 실시간 제어가 가능한 시스템을 구축해 실험적으로 검토하였다. 매니퓰레이터와 서보계의 다이내믹스를 나타내는 미분방정 식은 선형요소와 비선형요소의 합으로 생각할 수 있다. 여기서 매니퓰레이터의 비선 형요소를 외란으로 간주해 슬라이딩 모드를 적용하므로 매니퓰레이터의 자유도가 높아 도 비교적 간단히 슬라이딩 모드의 존재 조건식으로 부터 절환 파라미터가 구해져 슬 라이딩 모드를 발생시킬 수 있는 알고리즘을 도출할 수가 있음을 보였다. 비선형요 소를 외란으로 간주하였을때 로보트 매니퓰레이터가 슬라이딩 모드에 들어갈 수 있도 록 외란에 대응하는 절환 제어입력을 종래의 방식대로 부가하면 이 제어입력으로 인해 채터링(chattering)이 증가하게 됨이 확인되었으며, 이러한 채터링을 줄일 수 있도록 새로운 절환 제어입력의 알고리즘을 도출하여 검토하였다.

단락종단된 동축 슬롯 결합 스트림 배열 안테나 (Short-Ended Coaxial Slot-Coupled Strip Array Antenna)

  • 김중표;이창원
    • 한국전자파학회:학술대회논문집
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    • 한국전자파학회 2000년도 종합학술발표회 논문집 Vol.10 No.1
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    • pp.399-403
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    • 2000
  • A new type of collinear antenna called short-ended coaxial slot-coupled strip array antenna is investigated theoretically. The antenna has an advantage of structural simplicity. The integral equations are derived for the proposed structure by use of the Fourier transform and mode expansion, and the simultaneous linear equations are obtained. The slot electric field and strip current are then obtained by solving the simultaneous linear equation. The effects of slot and strip number on the radiation efficienty, beamwidth and directivity gain are also presented.

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Analysis of Ultrasonic Linear Motor Using the Finite Element Method and Equivalent Circuit

  • Park, Jong-Seok;Joo, Hyun-Woo;Lee, Chang-Hwan;Jung, Hyun-Kyo
    • KIEE International Transaction on Electrical Machinery and Energy Conversion Systems
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    • 제3B권4호
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    • pp.159-164
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    • 2003
  • In this paper, a three-dimensional finite element method and construction of equivalent-circuit for a linear ultrasonic motor are presented. The validity of three-dimensional finite element routine in this paper is experimentally confirmed by analyzing impedance of a piezoelectric transducer. Using this confirmed finite element routine, impedance and vibration mode of a linear ultrasonic motor are calculated. Elliptical motion of contact point between vibrator and rail of the linear ultrasonic motor is shown for determination of contact points. By using the finite element method and analytic equations, characteristics of the linear ultrasonic motor, such as thrust force, speed, losses, powers and efficiency, are calculated. The results are confirmed by experiment. Finally, equivalent circuit parameters of the linear ultrasonic motor are obtained using the three-dimensional finite element method and analytic equations.

Non-linear study of mode II delamination fracture in functionally graded beams

  • Rizov, Victor I.
    • Steel and Composite Structures
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    • 제23권3호
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    • pp.263-271
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    • 2017
  • A theoretical study was carried-out of mode II delamination fracture behavior of the End Loaded Split (ELS) functionally graded beam configuration with considering the material non-linearity. The mechanical response of ELS was modeled analytically by using a power-law stress-strain relation. It was assumed that the material is functionally graded transversally to the beam. The non-linear fracture was investigated by using the J-integral approach. Equations were derived for the crack arm curvature and zero axes coordinate that are needed for the J-integral solution. The analysis developed is valid for a delamination crack located arbitrary along the beam height. The J-integral solution was verified by analyzing the strain energy release rate with considering material non-linearity. The effects of material gradient, non-linear material behavior and crack location on the fracture were evaluated. The solution derived is suitable for parametric analyses of non-linear fracture. The results obtained can be used for optimization of functionally graded beams with respect to their mode II fracture performance. Also, such simplified analytical models contribute for the understanding of delamination fracture in functionally graded beams exhibiting material non-linearity.

Buckling and stability analysis of sandwich beams subjected to varying axial loads

  • Eltaher, Mohamed A.;Mohamed, Salwa A
    • Steel and Composite Structures
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    • 제34권2호
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    • pp.241-260
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    • 2020
  • This article presented a comprehensive model to study static buckling stability and associated mode-shapes of higher shear deformation theories of sandwich laminated composite beam under the compression of varying axial load function. Four higher order shear deformation beam theories are considered in formulation and analysis. So, the model can consider the influence of both thick and thin beams without needing to shear correction factor. The compression force can be described through axial direction by uniform constant, linear and parabolic distribution functions. The Hamilton's principle is exploited to derive equilibrium governing equations of unified sandwich laminated beams. The governing equilibrium differential equations are transformed to algebraic system of equations by using numerical differential quadrature method (DQM). The system of equations is solved as an eigenvalue problem to get critical buckling loads and their corresponding mode-shapes. The stability of DQM in determining of buckling loads of sandwich structure is performed. The validation studies are achieved and the obtained results are matched with those. Parametric studies are presented to figure out effects of in-plane load type, sandwich thickness, fiber orientation and boundary conditions on buckling loads and mode-shapes. The present model is important in designing process of aircraft, naval structural components, and naval structural when non-uniform in-plane compressive loading is dominated.

원형 외팔보의 일대일 공진에서의 비평면 비선형 진동현상 (Non-Planar Non-Linear Vibration Phenomenon on the One to One Resonance of the Circular Cantilever Beam)

  • 박철희;조종두;김명구
    • 대한기계학회논문집A
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    • 제30권2호
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    • pp.171-178
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    • 2006
  • Experimental and theoretical study of the non-planar response motions of a circular cantilever beam subject to base harmonic excitation has been presented in this paper work. Theoretical research is conducted using two non-linear coupled integral-differential equations of motion. These equations contain cubic linearities due do curvature term and inertial term. A combination of the Galerkin procedure and the method of multiple scales are used to construct a first-order uniform expansion for the case of one-to-one resonance. The results show that the non-linear geometric terms are very important for the low-frequency modes of the first and second mode. The non-linear inertia terms are also important for the high-frequency modes. We present the quantitative and qualitative results for non-planar motions of the dynamic behavior.