• Title, Summary, Keyword: 고유진동수 모우드

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다차원 스펙트럼해석의 기초와 응용

  • 오재응
    • Journal of the KSME
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    • v.24 no.6
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    • pp.446-451
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    • 1984
  • 최근 기계구조물로부터 발생되는 소음. 진동의 수준을 평가하고 그 대책을 수립하는데 스펙트 럼분석(spectral analysis)과 상관기술(correlation technique)의 이용도가 점증하고 있다. 전자계 산기에 의한 데이터처리기술의 진보에 따라 불규칙한 입력을 받는 기계구조물의 고유진동수추정 및 진동모우드해석, 많은 소음. 진동원을 갖는 플랜트. 선박. 차량기기등의 발생원검출 및 기여 량파악, 그리고 acoustic emission 및 bispectrum에 의한 기기이상진단기술에 적용함으로써 공 학분야에서 한층 중요한 위치를 점하고 있다. 따라서 본 강좌에서는 먼저 상관해석에 의한 스 펙트럼의 정의에 대해서 기술하고 샘플링이론에 만족하는 시간간격으로 샘플링함으로써 얻어지는 시계열데이타를 Fourier 변환하여 주파수영역에서 계의 특성을 해석하는 원리 및 기여함수에 대해 설명하고자 한다. 그리고 입력원간에 상관이 존재하는 경우에 있어서 소음. 진동원을 검 출하고 기여량을 추정할 수 있는 방법으로서의 다차원스펙트럼해석법에 대해 간단하게 기술하 고자 한다.

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A Modal Analysis Technique for Large Structural Systems (대형구조물의 모우드 해석방법)

  • Lee, ln Won;Lee, Chong Won;Jung, Gil Ho
    • Journal of The Korean Society of Civil Engineers
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    • v.13 no.5
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    • pp.77-83
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    • 1993
  • A modified Lanczos method combined with a substructure analysis technique was used for calculating natural frequencies and mode shapes of large structural systems. The method does not require generation and storage of stiffness and mass matrices of the entire structure. It only uses the stiffness and mass matrices of each substucture. No approximating assumptions are required other than the usual assumption of linear elastic system modelled by finite elements. Thus, natural frequencies and mode shapes for the finite element model employed are the same as those with or without the suhstructuring algorithm. To check the efficiency of the proposed method, first ten natural frequencies and the corresponding mode shapes of an open truss helicopter tail-boom structure are calculated by using it.

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Estimation of Structural Damages by Inverse Modal Perturbation Method (구조물 손상의 추정을 위한 Inverse Modal Perturbation 기법)

  • Min, Jin Ki;Kim, Hyeong Ki;Hong, Kyu Seon;Yun, Chung Bang
    • Journal of The Korean Society of Civil Engineers
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    • v.10 no.4
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    • pp.35-42
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    • 1990
  • A method for the damage assessment of a structure by an inverse modal perturbation technique is studied. The first few natural frequencies and mode shapes of the damaged structure are assumed to be known. Then, the perturbation equation is formulated for the changes of the modal properties due to the stiffness changes. The stiffness changes due to damages are evaluated, using optimization techniques. Example analyses are carried out for several cases of stick models and a truss model. Results indicate that the present method yields very reasonable estimates for the element stiffness changes.

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Free Vibration Analysis of Thick Circular Ring from Three-Dimensional Analysis (두꺼운 원형링의 3차원적 자유진동해석)

  • 양근혁;강재훈;채영호
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.15 no.4
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    • pp.609-617
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    • 2002
  • A three-dimensional(3-D) method of analysis is presented for determining the free vibration frequencies and mode shapes of thick, circular rings with isosceles trapezoidal and triangular cross-sections. Displacement components u/sub s/, u/sub z/, and u/sub θin the meridional, normal, and circumferential directions, respectively, are taken to be sinusoidal in time, periodic in θ, and algebraic polynomials in the ψ and z directions. Potential(strain) and kinetic energies of the circular ring are formulated, and upper bound values of the frequencies we obtained by minimizing the frequencies. As the degree of the polynomials is increased, frequencies converge to the exact values. Novel numerical results are presented for the circular rings with isosceles trapezoidal and equilateral triangular cross-sections having completely free boundaries. Convergence to four-digit exactitude is demonstrated for the first five frequencies of the rings. The method is applicable to thin rings, as well as thick and very thick ones.

Buckling Behavior and Variation of Dynamic Characteristics under Shear Displacement of Cylindrical Shell (원통쉘의 좌굴 거동 및 전단 변위에 따른 동적 특성 변화)

  • 이창훈;우호길;구경회;이재한
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • pp.756-759
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    • 2001
  • The purpose of this paper is to investigate the buckling and dynamic characteristics for the cylindrical shell under shear loading. To do this, a vibration model tests and analyses and static buckling analyses were performed for the reduced scale model of nuclear reactor vessel. From the results of vibration modal analysis with the pre-shear displacement loads, it is known that the beam vibration mode is not affected by the shear displacement, however shell vibration modes are significantly affected by it. As the pre-shear displacement increases to the critical buckling displacement, the 1st shell vibration frequency in greatly reduces and approaches to zero value.

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Three-Dimensional Vibration Analysis of Thick Shells of Revolution (두꺼운 축대칭 회전쉘의 3차원적 진동해석)

  • 강재훈;양근혁;장경호
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.15 no.3
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    • pp.399-407
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    • 2002
  • A three-dimensional method of analysis is presented for determining the free vibration frequencies and mode shapes of hollow bodies of revolution (i.e., thick shells), not limited to straight line generators or constant thickness. The middle surface of the shell may have arbitrary curvatures, and the wall thickness may vary arbitrarily. Displacement components$U_\Phi, U_z, U_\theta$ in the meridional, normal and circumferential directions, respectively, are taken to be sinusoidal in time, periodic in$\theta$, and algebraic polynomials in the$\Phi$and z directions. Potential(strain) and kinetic energies of the entire body are formulated, and upper bound values of the frequencies are obtained by minimizing the frequencies. As the degrees of the polynomials are increased, frequencies converge to the exact values. Novel numerical results are presented for two types of thick conical shells and thick spherical shell segments having linear thickness variations. Convergence to four digit exactitude is demonstrated for the first five frequencies of both types of shells. The method is applicable to thin shells, as well as thick and very thick ones.

Nonlinear Analysis of a Forced Beam with Internal Resonances (내부공진을 가진 보의 비선형 강제진동해석)

  • 이원경;소강영
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • pp.147-152
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    • 1991
  • 양단이 고정된 보가 변형할 때에는 중간 평면의 신장을 수반하게 된다. 운동 의 진폭이 증가함에 따라 이 신장이 보의 동적 응답에 미치는 영향은 심각 하게 된다. 이러한 현상은 응력과 변형도와의 관계가 선형적이라 하더라도 변형도와 변위와의 관계식은 비선형이 되며 결국은 보의 비선형 운동방정식 을 낳게된다. 보는 연속계이긴하지만 근사를 위하여 다자유도계로 간주할 수 있다. 비선형 다자유도계에 있어서는 선형화된 계의 고유진동수끼리 적절한 관계를 가질 때 내부공진이 발생할 수 있다. 양단이 고정된 곧은 보의 비선 형 동적응답이 그동안 많이 연구되어 오고 있으며, 집중질량을 가지고 직각 으로 굽은 보의 해석을 위하여 내부공진을 고려한 해석적 혹은 실험적 연구 가 이루어져 왔다. 그중에서도 Nayfeh등은 조화가진 하의 핀과 꺾쇠로 고정 된(hinged-clamped) 보의 정상상태응답을 해석하기 위해 두 모우드 사이의 내부공진을 고려하였다. 이 연구에서는 세 모우드 사이의 내부공진을 고려하 여 강제진행 중인 보의 비선형 해석을 다루고자 한다. 이 문제에 관심을 갖 게 된 동기는 "연속계의 비선형 해석에서 더 많은 모우드를 포함시키면 어 떤 결과를 낳게 될 것인가\ulcorner"라는 질문에서 생겨난 것이다. 갤러킨 법을 이용 하여 비선형 편미분 방정식과 경계 조건으로 표현되는 이 문제를 연립 비선 형 상미분 방정식으로 변환한다. 다중시간법(the method of multiple scales) 을 이용하여 이 상미분 방정식을 정상상태에서의 세 모우드의 진폭과 위상 에 대한 연립비선형 대수방정식으로 변환한다. 이 대수방정식을 수치적으로 풀어서 정상상태 응답을 구하고 Nayfeh등의 결과와 비교한다. 결과와 비교한다. studies, the origin of ${\alpha}$$_1$peak was attributed to the detrapping process form trap with 2.88[eV] deep of injected space charge from the chathode in the crystaline regions. The origin of ${\alpha}$$_2$ peak was regarded as the detrapping process of ions trapped with 0.9[eV] deep originated from impurity-ion remained in the specimen during production process of the material, in the crystalline regions. The origin of ${\beta}$ peak was concluded to be due to the depolarization process of "C=0"dipole with the activation energy of 0.75[eV] in the amorphous regions. The origin of ${\gamma}$ peak was responsible to the process combined with the depolarization of "CH$_3$", chain segment, with the activation energy of carriers from the shallow trap with 0.4[eV], in he amorp

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Sliding Mode Analysis Using Substructure Synthesis Method (부구조물 합성법을 이용한 슬라이딩 모드 해석)

  • Kim, Dae-Kwan;Lee, Min-Su;Han, Jae-Hung;Ko, Tae-Hwan
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • pp.1366-1371
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    • 2006
  • A structural coupling method is developed for the dynamic analysis of a nonlinear structure with concentrated nonlinear hinge joints or sliding lines. Component mode synthesis method is extended to couple substructures and the nonlinear models. In order to verify the improved coupling method, a numerical plate model consisting of two substructures and torsional springs, is synthesized by using the proposed method and its model parameters are compared with analysis data. Then the coupling method is applied to a three-substructure-model with the nonlinearity of sliding lines between the substructures. The coupled structural model is verified from its dynamic analysis. The analysis results show that the improved coupling method is adequate for the structural nonlinear analyses with the nonlinear hinge and sliding mode condition.

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Dynamic Analysis of the Multi-Span Beam on Elastic Foundation Part two : Dynamic Response for the Moving Loads (탄성지반 위에 놓여있는 다지지 보의 동적해석 제2보 : 움직이는 하중에 대한 동적응답)

  • K.J. Choi;Y.C. Kim
    • Journal of the Society of Naval Architects of Korea
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    • v.28 no.1
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    • pp.92-98
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    • 1991
  • The structures such as railway bridges can be modelled as the multi-span beam on the elastic foundation. These structures are usually subject to the moving load, which has a great effect on dynamic stresses and can cause severe motions, especially at high velocities. In this paper, the dynamic responses of the multi-span beam on the elastic foundation were obtained by using the Galerkin's method and the numerical time integration technique. As trial functions, the same orthogonal polynomial functions obtained in part 1, were used. From the numerical results, it was found that the one term expansion of the assumed solution usually leads to the accurate solutions. However, in the case that the stiffness of the transnational spring is very high or the rotational spring is placed where the slope of the first mode is zero, the higher modes must be included to obtain the accurate solutions.

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A study on the dynamic characteristics of bellows (벨로우즈의 동특성에 관한 연구)

  • 이완식;오재응;김태완
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.12 no.6
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    • pp.1273-1281
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    • 1988
  • In this study, the dynamic characteristics of Bellows, used for expansion joint, were investigate by F.E.M. Using the axisymmetric conical frustum element, the natural frequencies, modevectors and the parameters governing the dynamic characteristics of Bellows were also investigated. Through the experiment, it was shown that the results calculated by finite element method and measured experimental values were in good agreement.