• Title, Summary, Keyword: 고유진동수 모우드

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Dynamic Characteristics of Thick Rotating Composite Disks (두꺼운 복합재료 회전원판의 동적 특성)

  • Koo, Kyo-Nam
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.44 no.8
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    • pp.649-656
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    • 2016
  • Thick composite disks are utilized in the fast-rotating machines such as turbine disks, flywheels, and so on. The effects of rotating speed on the dynamic characteristics of thick composite disks are deeply studied in this paper. The dynamic governing equations of a rotating composite disk including transverse shear and rotary inertia are derived and then formulated into the finite element equation. Isotropic, circumferentially reinforced disk, and radially reinforced disk are selected for the numerical analysis. The inclusion of the transverse shear and rotary inertia into the governing equation of the rotating disks makes the natural frequency reduced as well as the critical speed. The present results show that the rotation of a thick disk may not reduce the effect of transverse shear and rotary inertia depending on anisotropy, thickness ratio and mode, unlike the results reported in other studies.

Damage Estimation of Structures by Second Order Modal Perturbation (2차 모우드 섭동법에 의한 구조물의 손상도 추정)

  • 홍규선;윤정방;류정선
    • Computational Structural Engineering
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    • v.5 no.3
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    • pp.119-126
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    • 1992
  • Most civil engineering structures such as bridges, power plants, and offshore platforms are apt to suffer structural damages over their service lives caused by adverse loadings, such as earthquakes, wind and wave forces. Accumulation of structural damages over a long period of time might cause catastrophic structural failure. Therefore, a methodology for monitoring the structural integrity is essential for assuring the safety of the existing structures. A method for the damage assessment of structures by the second order inverse modal perturbation technique is presented in this paper. Perturbation equation consists of a matrix equation involving matrices of structural changes(stiffness and mass matrix changes) and matrices of modal property changes(natural frequency and mode shape changes). The damages of a structure are represented as changes in the stiffness matrix. In this study, a second order perturbation equation is formulated for the damage assessment of structures, and solved by an iterative procedure. The effectiveness of the proposed method has been investigated through a series of example analysis. The estimated results for the structural damage indicated that the present method yields resonable estimates for the structural changes.

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A Study of the Dynamic Characteristics of a Passenger Radial Tire (승용차용 레이디얼 타이어의 동적 특성에 관한 연구)

  • 김두만;김상욱
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.10 no.5
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    • pp.724-734
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    • 1986
  • The dynamic characteristics of a passenger radial tire were studied by the analytical method and the experiments. The purpose of this study is to obtain the natural frequencies and the mode shapes of a 2 ply steel belt radial tire fixed on the wheel in order to give datum of the dynamic design of tire. The governing equations are derived with the energy method. The composite toroidal finite elements with three degrees of freedom at each node are defined by specifying geometry, internal displacement functions, strain displacement and stress displacement relationships. In order to verify the capability of the present analysis, the natural frequencies and mode shapes of the passenger radial tire are obtained experimentally by using the multi-channel F.F.T. analyser and compared the numerically obtained values. The results show that the analytically obtained values are in good agreement with the experiment and in addition they are in line with the Pott's experimental results.

A Study on Dynamic Characteristics Analysis of Spindle Unit for Two-for-One Twister (투포원 연사기용 스핀들 유니트의 동특성 해석에 관한 연구)

  • Kim, Gwang-Yeong;Kim, Jong-Su
    • 연구논문집
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    • pp.127-139
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    • 1997
  • Two-for-one twister is a kind of textile machine and makes special fancy yarn which is twisted two times per one revolution in order to increase tensile strength and wear resis-tance of yarn. Spindle mechanism has to be stable and continuous motion in high speed revolution, and then optimal design is necessary to analyze dynamic characteristics of spindle unit. Spindle unit is consist of blade and rotary disc that are cylindrical body of revolution. For analysis of the dynamic characteristics of spindle unit, transfer matrix method is used and a numerical code SPINDLE also. Torsion and natural bending frequency of the spindle unit are examined. Its displacement mode is studied in function of variable revolutions.

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An Iterative Method for Natural Frequency and Mode Shape Sensitivities (고유진동수와 모우드의 민감도를 구하기 위한 반복법)

  • JUNG, GH;JUNG, HJ;OH, JW;LEE, IW
    • Journal of Korean Society of Steel Construction
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    • v.8 no.3
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    • pp.21-34
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    • 1996
  • A numerical method is presented for computation of eigenvector derivatives used an iterative procedure with guaranteed convergence. An approach for treating the singularity in calculating the eigenvector derivatives is presented, in which a shift in each eigenvalue is introduced to avoid the singularity. If the shift is selected properly, the proposed method can give very satisfactory results after only one iteration. A criterion for choosing an adequate shift, dependent on computer hardware is suggested ; it is directly dependent on the eigenvalue magnitudes and the number of bits per numeral of the computer. Another merit of this method is that eigenvector derivatives with repeated eigenvalues can be easily obtained if the new eigenvectors are calculated. These new eigenvectors lie "adjacent" to the m (number of repeated eigenvalues) distinct eigenvectors, which appear when the design parameter varies. As an example to demonstrate the efficiency of the proposed method in the case of distinct eigenvalues, a cantilever plate is considered. The results are compared with those of Nelson's method which can find the exact eigenvector derivatives. For the case of repeated eigenvalues, a cantilever beam is considered. The results are compared with those of Dailey's method which also can find the exact eigenvector derivatives. The design parameter of the cantilever plate is its thickness, and that of the cantilever beam its height.

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Dynamic Analysis of Offshore Structures Considering External Fluid-Structure Interaction (외부유체-구조물의 상호작용을 고려한 해양구조물의 동적해석)

  • Hwang, Chul-Sung;Paik, In-Yeol
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.9 no.1
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    • pp.271-281
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    • 2005
  • The effects of radiation damping is used to compensate the truncated boundary which is relatively close to the structure-fluid interface in the fluid element surrounding the submerged structures. An efficient ring element is presented to model the shell and fluid element which fully utilizes the characteristics of the axisymmetry. The computational model uses the technique which separate the meridional shape and circumferential wave mode and gets similar result with the exact solution in the eigenvalues and the earthquake analysis. The fluid-structure interaction techniques is developed in the finite element analysis of two dimensional problems using the relations between pressure, nodal unknown acceleration and added mass assuming the fluid to be invicid, incompressible and irrotational. The effectiveness and efficiency of the technique is demonstrated by analyzing the free vibration and seismic analysis using the added mass matrix considering the structural deformation effect.

Three-Dimensional Vibration Analysis of Solid and Hollow Hemispheres Having Varying Thickness (변두께를 갖는 두꺼운 반구형 쉘과 반구헝체의 3차원적 진동해석)

  • 심현주;장경호;강재훈
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.16 no.2
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    • pp.197-206
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    • 2003
  • A three-dimensional (3-D) method of analysis is presented for determining the free vibration frequencies and mode shapes of solid and hollow hemispherical shells of revolution of arbitrary wall thickness having arbitrary constraints on their boundaries. Unlike conventional shell theories, which are mathematically two-dimensional (2-D), the present method is based upon the 3-D dynamic equations of elasticity. Displacement components μ/sub Φ/, μ/sub z/, and μ/sub θ/ in the meridional, normal, and circumferential directions, respectively, are taken to be sinusoidal in time, periodic in θ, and algebraic polynomials in the Φ and z directions. Potential (strain) and kinetic energies of the hemispherical shells are formulated, and the Ritz method is used to solve the eigenvalue problem, thus yielding upper bound values of the frequencies 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 solid and hollow hemispheres with linear thickness variation. The effect on frequencies of a small axial conical hole is also discussed. Comparisons are made for the frequencies of completely free, thick hemispherical shells with uniform thickness from the present 3-D Ritz solutions and other 3-D finite element ones.

On the Calibration of Impact Hammer Sensitivity (충격 해머의 감도보정)

  • 한상보
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • pp.71-74
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    • 1991
  • 구조물의 진동특성을 파악하기 위한 실험적 모우드 해석법에서 기진력을 제 공하는 한 방법으로 힘 측정기가 부착된 해머를 이용한 충격시험기법이 널 리 사용되고 있다. 충격해머 시험의 유용성은 기진력의 에너지가 정현파 기 진력의 경우처럼 특정 주파수대에 산재해 있는 것이 아니라 가용 주파수 영 역내에 연속적으로 분포해 있다는 점이며 이러한 충격력은 가용 주파수 범 위내에 있는 모든 고유진동형을 여가시킬 수 있다는 장점이 있다. 충격헤머 가 가지고 있는 동적특성은 구조물을 가진시키는 선형충격량의 크기를 결정 하며, 이는 다시 충격력의 크기와 가용 주파수 범위를 결정하게 된다. 일반 적으로 가진주파수 범위는 해머의 질량에 반비례하고 충격해드의 경도에 비 례하는 것으로 알려져 있다. 해머의 질량 자체가 충격력의 크기를 좌우하기 도 하므로, 가진력의 크기를 고려하여 해머의 질량이 선택되며 충격헤드는 충격시간을 조절하기 위하여 적절히 선택된다. 충격해머에 장착된 힘측정기 의 감도는 해머질량과 충격헤드의 질량 변화에 영향을 받게 되는데, 충격 시 험시 측정되는 값은 해머에 부착되어 있는 힘측정기에 가해지는 힘인 반면 구조물에 가해지는 기진력은 충격해드와 구조물사이에 발생되는 힘이다. 이 두 힘의 비는 해머 및 충격해드의 질량효과에 따라 좌우된다. 주어진 충격시 험에서 충격해머의 질량효과를 정확히 조건에 따라 감도보정을 해 주어야 한다. 충격해머의 감도보정에 대해서는 문헌[2]에 잘 나타나 있다. 본 논문에 서는 전압감도에 미치는 영향을 파악하고자 질량 효과를 고려한 수학적 모 형을 제시하고 그 모형의 타당성을 실험을 통해 검정하고자 한다.방법 을 제시하였다. 이와 아울러 제어계의 환경변화에 따른 파라메타의 변화에 적응적으로 응답이 가능해야 하는 적응 소음제어 시스템에서, 음향궤환과 함 께 필히 고려해야 하는 부가적인 전달함수의 영향을 고려한 능동 소음제어 에 대해 연구하였다. 경량화 추세에 따라 지반이나 케이싱이 경량이거나 유연하여 회전축과 동적으로 연성된 경우 회전축-베어링-지반으로 이루어진 2중구조의 회전축 계 동특성을 해석할 수 있는 프로그램을 개발하므로서 회전 기계류의 진동 전반에 걸친 문제점에 대한 그 원인과 현상을 명확히 분석하여 국내의 전기 계류의 보다 신뢰성있는 설계 및 제작자료를 확보하는데 기여할 수 있게 하 였다.존의 small molecular Gd-chelate에 비해 매우 큼을 알 수 있었다. MnPC는 간세포에 흡수된 후 담도계로 배출되는 간특이성 조영제임을 확인하였다. 장비 내에서 반복 시행한 평균값의 차이는 대체적으로 유의한 차이가 없었으나, 다른 장비에서 반복 시행한 장비간의 사이에는 유의한 차이가 있는 경우가 더 많았다. 따라서 , MRS 검사를 소뇌나 뇌교의 어떤 절환에 적용하기 전에 각 장비 마다 정상 기준치를 반드시 얻은 후에 이상여부를 판 정하는 것이 필수적이라고 생각된다.EX> 이상이 적절한 진단기준으로 생각되었다. $0.4{\;}\textrm{cm}^3$ 이상의 좌우 부피차를 보이는 모든 증례에서 육안적으로도 해마위축이 뚜렷이 나타났다. 결론 : MR영상을 이용한 해마의 부피측정은 해마경화증 환자의 진단에 있어 육안적인 MR 진단이 어려운 제한된 경우에만 실제적 도움을 줄 수 있는 보조적인 방법으로 생각된다

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Algebraic Method for Evaluating Natural Frequency and Mode Shape Sensitivities (고유진동수와 모우드의 미분을 구하기 위한 대수적 방법)

  • 정길호;김동욱;이인원
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • pp.225-233
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    • 1995
  • This paper presents an efficient numerical method for computation of eigenpair derivatives for the real symmetric eigenvalue problem with distinct and multiple eigenvalues. The method has very simple algorithm and gives an exact solution. Furthermore, it saves computer storage and CPU time. The algorithm preserves the symmetry and band of the matrices, allowing efficient computer storage and solution techniques. Thus, the algorithm of the proposed method will be inserted easily in the commercial FEM codes. Results of the proposed method for calculating the eigenpair derivatives are compared with those of Rudisill and Chu's method and Nelson's method which is efficient one in the case of distinct natural frequencies. As an example to demonstrate the efficiency of the proposed method in the case of distinct eigenvalues, a cantilever plate is considered. The design parameter of the cantilever plate is its thickness. For the eigenvalue problem with multiple natural frequencies, the adjacent eigenvectors are used in the algebraic equation as side conditions, they lie adjacent to the m (multiplicity of multiple natural frequency) distinct eigenvalues, which appear when design parameter varies. As an example to demonstrate the efficiency of the proposed method in the case of multiple natural frequencies, a cantilever beam is considered. Results of the proposed method fDr calculating the eigenpair derivatives are compared with those of Bailey's method (an amendation of Ojalvo's work) which finds the exact eigenvector derivatives. The design parameter of the cantilever beam is its height. Data is persented showing the amount of CPU time used to compute the first ten eigenpair derivatives by each method. It is important to note that the numerical stability of the proposed method is proved.

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Fluidelastic Instability Analysis of the U-Tube Bundle of a Recirculating Type Steam Generator (재순환식 증기발생기 U-튜브군에 대한 유체탄성 불안정 해석)

  • 조종철;이상균;김웅식;신원기;은영수
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.1
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    • pp.200-214
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    • 1993
  • This paper presents the results of fluidelastic instability analysis performed for the U-tube bundle of a Westinghouse model 51 steam generator, one of the recirculating types designed at an early stage, in which the principal region of external cross-flow is associated with the U-bend portion of tube. The prerequisites for this analysis are detailed informations of the secondary side flow conditions in the steam generator and the free vibration behaviours of the U-tubes. In this study, the three-dimensional two-phase flow field in the steam generator has been calculated employing the ATHOS3 steam generator two-phase flow code and the ANSYS engineering analysis code has been used to calculate the free vibration responses of specific U tubes under consideration. The assessment of the potential instability for the suspect U-tubes, which is the final analysis process of the present work, has been accomplished by combining the secondary side velocity and density distributions obtained from the ATHOS3 prediction with the relative modal displacement and natural frequency data calculated using the ANSYS code. The damping of tubes in two-phase flow has been deduced from the existing experimental data by taking into account the secondary side void fraction effect. In operation of the steam generator, the tube support conditions at the tube-to-tube support plate intersections due to either tube denting degradation or deposition of tube support plate corrosion products or ingression of dregs. Thus, various hypothetical cases regarding the tube support conditions at the tube-to-tube support plate intersections have been considered to investigate the clamped support effects on the forced vibration response of the tube. Also, the effect of anti-vibration bars support in the curved portion of tube has been examined.