• 제목/요약/키워드: Eigenmode

검색결과 39건 처리시간 0.024초

팁젯 방식으로 구동하는 로터의 동특성 연구 (A Study on Dynamic Characteristics of Tipjet Rotor)

  • 백상민;권재룡;이욱
    • 한국항공우주학회지
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    • 제46권1호
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    • pp.52-58
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    • 2018
  • 팁젯 방식으로 구동하는 로터의 정지 비행시 동특성에 관한 연구를 수행하였다. 내부에 유로가 삽입되어 있는 블레이드에 대해서 단면 모델링을 수행하였으며, 로터 시스템의 구성 요소들을 모델링하여 동특성 해석을 수행하였다. 회전 속도와 콜렉티브 피치 조건에 따른 해석을 수행하였으며, 해석 결과 제안된 로터 시스템은 설계된 운용범위 내에서 공탄성적 불안정성이 나타나지 않음을 확인하였다. 해석 절차의 검증을 위해 실제 팁젯 로터 시험장치를 구성하였다. 팁젯 방식으로 제안된 로터가 정상적으로 구동되는 것을 확인하였으며, 비회전 고유 모드 측정 시험 및 회전 시험을 수행하여 결과를 획득하였고, 얻어진 해석 결과와 비교를 통해 타당성을 검증하였다.

$L_1-B_4$ 모드 유니몰프형과 바이몰프형 진동자를 이용한 선형 초음파 모터의 특성 (Characteristics of Linear Ultrasonic Motor Using $L_1-B_4$ Mode Unimorph-TyPe and Bimorph-Type Vibrator)

  • 김범진;정동석;김태열;박태곤;김명호
    • 대한전기학회논문지:전기물성ㆍ응용부문C
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    • 제50권9호
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    • pp.427-433
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    • 2001
  • A linear ultrasonic motor was designed by a combination of the first longitudinal and fourth bending mode, and the motor consisted of a straight aluminum alloys bar bonded with a piezoelectric ceramic element as a driving element. That is,$L_1-B_4$ linear ultrasonic motor can be constructed by a multi-mode vibrator of longitudinal and bending modes. Linear ultrasonic motors are based on an elliptical motion on the surface elastic body, such as bar or plates. In general, the natural resonance frequency of the stator is used as a driving frequency of the motor which provides a large elliptical motion. The corresponding eigenmode of one resonance frequency can be excited twice at the same time with a Phase shift of 90 degrees in space and time. And the rotation can be reversed by changing the phase between the two signals from sin$\omega$t to cos$\omega$t. Moreover, the tangential force pushes the slider(rotor) and, therefore, determines the thrust and speed of the motor. The experimental results of fabrication motors, bimorph-tyPe motor showed more excellent than unimorph-type. The maximum speed of TBL-200, TBL-300, TBL-400, TBL -220, TBL-310 and TBL-420 motors were 0.12, 0.37, 0.39, 0.14, 0.55 and $0.60ms6{-1}$, respectively. And the efficiency were reported 1.15, 7.9, 6.6, 2.36, 10.1 and 16.5%, respectively. That time, output thrust of the motor was a strong(1~2N) and the weight of stator was a lightness(5~7g).

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Mathematical explanation on the POD applications for wind pressure fields with or without mean value components

  • Zhang, Jun-Feng;Ge, Yao-Jun;Zhao, Lin;Chen, Huai
    • Wind and Structures
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    • 제23권4호
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    • pp.367-383
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    • 2016
  • The influence mechanism of mean value components, noted as $P_0$, on POD applications for complete random fields $P_C(t)$ and fluctuating random fields $P_F(t)$ are illustrated mathematically. The critical philosophy of the illustration is introduction of a new matrix, defined as the correlation function matrix of $P_0$, which connect the correlation function matrix of $P_C(t)$ and $P_F(t)$, and their POD results. Then, POD analyses for several different wind pressure fields were presented comparatively as validation. It's inevitable mathematically that the first eigenmode of $P_C(t)$ resembles the distribution of $P_0$ and the first eigenvalue of $P_C(t)$ is close to the energy of $P_0$, due to similarity of the correlation function matrixs of $P_C(t)$ and $P_0$. However, the viewpoint is not rigorous mathematically that the first mode represents the mean pressure and the following modes represent the fluctuating pressure when $P_C(t)$ are employed in POD application. When $P_C(t)$ are employed, POD results of all modes would be distorted by the mean value components, and it's impossible to identify $P_0$ and $P_F(t)$ separately. Consequently, characteristics of the fluctuating component, which is always the primary concern in wind pressure field analysis, can only be precisely identified with $P_0$ excluded in POD.

Conformational changes of short, discrete Rouse chain during creep and recovery processes

  • Watanabe, Hiroshi;Inoue, Tadashi
    • Korea-Australia Rheology Journal
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    • 제16권2호
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    • pp.91-99
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    • 2004
  • For the Rouse chain composed of infinite number of beads (continuous limit), conformational changes during the creep and creep recovery processes was recently analyzed to reveal the interplay among all Rouse eigenmodes under the constant stress condition (Watanabe and Inoue, Rheol. Acta, 2004). For completeness of the analysis of the Rouse model, this paper analyzes the conformational changes of the discrete Rouse chain having a finite number of beads (N = 3 and 4). The analysis demonstrates that the chain of finite N exhibits the affine deformation on imposition/removal of the stress and this deformation gives the instantaneous component of the recoverable compliance, $J_{R}$(0) = 1/(N-l)v $k_{B}$T with v and $k_{B}$ being the chain number density and Boltzmann constant, respectively. (This component vanishes for N\longrightarrow$\infty$.) For N = 2, it is known that the chain has only one internal eigenmode so that the affinely deformed conformation at the onset of the creep process does not change with time t and $J_{R}$(t) coincides with $J_{R}$(0) at any t (no transient increase of $J_{R}$(t)). However, for N$\geq$3, the chain has N-l eigenmodes (N-l$\geq$2), and this coincidence vanishes. For this case, the chain conformation changes with t to the non-affine conformation under steady flow, and this change is governed by the interplay of the Rouse eigenmodes (under the constant stress condition). This conformational change gives the non-instantaneous increase of $J_{R}$(t) with t, as also noted in the continuous limit (N\longrightarrow$\infty$).X>).TEX>).X>).

A dissipative family of eigen-based integration methods for nonlinear dynamic analysis

  • Chang, Shuenn-Yih
    • Structural Engineering and Mechanics
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    • 제75권5호
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    • pp.541-557
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    • 2020
  • A novel family of controllable, dissipative structure-dependent integration methods is derived from an eigen-based theory, where the concept of the eigenmode can give a solid theoretical basis for the feasibility of this type of integration methods. In fact, the concepts of eigen-decomposition and modal superposition are involved in solving a multiple degree of freedom system. The total solution of a coupled equation of motion consists of each modal solution of the uncoupled equation of motion. Hence, an eigen-dependent integration method is proposed to solve each modal equation of motion and an approximate solution can be yielded via modal superposition with only the first few modes of interest for inertial problems. All the eigen-dependent integration methods combine to form a structure-dependent integration method. Some key assumptions and new techniques are combined to successfully develop this family of integration methods. In addition, this family of integration methods can be either explicitly or implicitly implemented. Except for stability property, both explicit and implicit implementations have almost the same numerical properties. An explicit implementation is more computationally efficient than for an implicit implementation since it can combine unconditional stability and explicit formulation simultaneously. As a result, an explicit implementation is preferred over an implicit implementation. This family of integration methods can have the same numerical properties as those of the WBZ-α method for linear elastic systems. Besides, its stability and accuracy performance for solving nonlinear systems is also almost the same as those of the WBZ-α method. It is evident from numerical experiments that an explicit implementation of this family of integration methods can save many computational efforts when compared to conventional implicit methods, such as the WBZ-α method.

정적해석에 의한 학교 체육관의 내진 성능 평가 (Seismic Performance Evaluation of a School Gymnasium Using Static Anlysis)

  • Morooka, Shigehiro;Tsuda, Seita;Ohsaki, Makoto
    • 한국공간구조학회논문집
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    • 제9권4호
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    • pp.49-59
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    • 2009
  • 학교체육관과 같은 소규모 공간구조물의 지진응답은 본래 지진동에 대한 동적응답을 시각이력해석에 의해 검증해야 하지만 통상은 정적해석에 의해 평가하고 있다. 본 연구에서는 학교 체육관의 내진성능평가를 가능하게 하는 정적해석의 진행수순을 나타내기로 한다. 지진하중은 2개의 성능 레벨 즉, 일본의 건축기준법에 정의되어 있는 레벨 1과 2에 대응하는 등가인 정적하중으로 근사한다. 또한, 재하 패턴으로서 고유모드형을 사용하는 것에 대한 중요성을 논의하고, 정적해석의 간단한 순서에 의해 최대연직방향가속도를 평가할수 있는 것을 나타낸다. 아울러, 레벨 2의 입력에 의한 정적해석은 동적해석으로 얻어진 응답치를 과소평가하지만, 일본의 중층구조에 사용되는 "극한내력계산법"에 근사한 등가선형차 기법에 의해 레벨 2의 입력에 대한 탄소성응답이 가능하다는 것을 나타내고자 한다.

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극좌표 기반 투과 매트릭스 방법을 이용한 다중모드 광섬유 출력단에서의 빛의 세기 분포 제어 (Controlling the Intensity Distribution of Light at the Output of a Multimode Optical Fiber Using a Polar-coordinate-based Transmission-matrix Method)

  • 박재덕;조재필;윤종희;염동일
    • 한국광학회지
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    • 제33권6호
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    • pp.252-259
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    • 2022
  • 투과 매트릭스 방법을 이용하여 다중모드 광섬유 출력단에서 빛의 세기 분포를 제어하는 연구를 수행하였다. 공간 빛 변조기를 이용하여 원형으로 배치된 Hadamard 고유모드 위상분포를 실험적으로 구현하고, 네 가지 위상 값 변조 방법을 통하여 다중모드 광섬유의 투과 매트릭스를 실험적으로 도출하였다. 도출한 투과 매트릭스를 기반으로 광섬유에 입사하는 빛에 공간적인 위상 분포를 사전에 적용함으로써 광섬유 출력단의 원하는 위치에 빛을 집속하고자 하였다. 다중모드 광섬유 출력단 코어의 특정 위치에서 주변 배경 신호 대비 최대 359.6배 큰 세기로 빛을 집속할 수 있었으며 다중모드 광섬유 코어 영역 전반에 걸쳐 평균적으로 104.6배 향상된 값으로 빛을 집속할 수 있었다.

둔턱 진행 차량의 주파수응답 분석 (FRF Analysis of a Vehicle Passing the Bump Barrier)

  • 김종도;윤문철
    • 융합정보논문지
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    • 제12권3호
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    • pp.151-157
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    • 2022
  • 차량의 진행을 근사화한 외부 가진력을 고려한 강제 진동에서의 주파수 특성을 알아보고자 하였고, 다양한 가진 진폭과 주파수를 갖는 외력이 작용하면서 차량이 둔턱을 넘어갈 때에 차량에서 일어나는 주파수 영역의 진동특성을 분석하였다. 응답은 수치해석을 통하여 변위, 속도 및 가속도 등의 응답을 구하였고 이들을 FFT 처리하여 각 시간 응답의 FRF(Frequency response function) 주파수 특성을 분석하였다. 특히, 차량 고유모드와 외부 가진 모드의 발생 위치를 확실하게 비교하여 밝혔고 외부 가진력에 의한 강제진동 모델에서 변위, 속도 및 가속도의 거동과 주파수 응답함수에서의 고유모드의 위치와 주변의 가진 모드 분포 및 파워 스펙트럼, 실수부와 허수부의 FRF도 나타났으며 각 FRF에서 근접 모드 특성도 분석하였다. 외부 가진력으로 정현파의 가진력과 임펄스 가진력에 의한 둔턱 주파수를 고려하여 가정한 근사 모델에서 발생 모드를 구별할 수 있었다. 상당하는 질량, 감쇠 및 강성을 변화하는 여러 시스템에서 강제진동의 응답특성을 체계적으로 다루었다.

Two-stage crack identification in an Euler-Bernoulli rotating beam using modal parameters and Genetic Algorithm

  • Belen Munoz-Abella;Lourdes Rubio;Patricia Rubio
    • Smart Structures and Systems
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    • 제33권2호
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    • pp.165-175
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    • 2024
  • Rotating beams play a crucial role in representing complex mechanical components that are prevalent in vital sectors like energy and transportation industries. These components are susceptible to the initiation and propagation of cracks, posing a substantial risk to their structural integrity. This study presents a two-stage methodology for detecting the location and estimating the size of an open-edge transverse crack in a rotating Euler-Bernoulli beam with a uniform cross-section. Understanding the dynamic behavior of beams is vital for the effective design and evaluation of their operational performance. In this regard, modal parameters such as natural frequencies and eigenmodes are frequently employed to detect and identify damages in mechanical components. In this instance, the Frobenius method has been employed to determine the first two natural frequencies and corresponding eigenmodes associated with flapwise bending vibration. These calculations have been performed by solving the governing differential equation that describes the motion of the beam. Various parameters have been considered, such as rotational speed, beam slenderness, hub radius, and crack size and location. The effect of the crack has been replaced by a rotational spring whose stiffness represents the increase in local flexibility as a result of the damage presence. In the initial phase of the proposed methodology, a damage index utilizing the slope of the beam's eigenmode has been employed to estimate the location of the crack. After detecting the presence of damage, the size of the crack is determined using a Genetic Algorithm optimization technique. The ultimate goal of the proposed methodology is to enable the development of more suitable and reliable maintenance plans.