• Title/Summary/Keyword: 고유 모우드

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Modal Analysis of the Bell Type Shell with Thickness and Asymmetric Effects (鐘形셀의 두께變化 및 非對稱效果에 따른 振動모우드 解析에 관한 硏究)

  • 정석주;공창덕;염영하
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.10 no.3
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    • pp.383-391
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    • 1986
  • Mode shapes and natural frequencies of the bell type shell are analyzed numerically by the finite element method. The impulse hammer method and the Fast Fourier Transform analyzer are used for the experimental test. All types of mode shapes are expressed by the computer graphics. Numerical solutions are good agreement with the experimental results. The sustaining sound of the typical bell-type shell depend upon the first flexural mode (0-2 mode) and the second flexural mode (0-3 mode), and their mode shapes are independent upon thickness Dangjwas, holes, and added mass effects. Asymmetric effects by Dangjwas, holes and added mass give rise to beat frequencies, and the added mass is found to be most effective.

Determination of the Natural Frequencies and Mode Shapes of Large Structures by Accelerated Newton-Raphson Method (Accelerated Newton-Raphson 방법에 의한 대형구조물의 자유진동수와 모우드형의 결정)

  • Kim, Man Cheol;Lee, In Won
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.14 no.5
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    • pp.1105-1113
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    • 1994
  • For the design of various structures, the dynamic analysis of the structures is essential. Eigenproblem must be first computed when the mode superposition method is used in the dynamic analysis of the structures. However, since most of solution time is spent on calculating the eigenpairs of the system, the development of more efficient solution method is required. The purpose of this paper is to present the efficient solution method that combines the Robinson-Lee's method and accelerated Newton-Raphson method to improve numerical stability and increase convergence. Effectiveness of the proposed method is verified through numerical examples.

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Mode Analysis of Silica Waveguides with Semi Circular Cross Section by using the Method of Harmonic Expansion in Finite Area (유한영역에서 조화함수 전개법을 이용한 반달꼴 단면 이산화규소 광도파로의 모우드 분석)

  • 김진승
    • Korean Journal of Optics and Photonics
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    • v.4 no.1
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    • pp.90-100
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    • 1993
  • A computer routine for personal computer(PC/AT class) is developed to analysize the mode characteristics of silica based optical waveguides whose cross sections are of semi circular and other typical shapes. The basic algorithm used in the routine is to convert the wave equation into a matrix equation by expanding the wave function in terms of simple harmonic functions. The matrix elements are a set of overlap integrals of sinusoidal funtions with appropriate weight given by the distribution of refractive index over the waveguide cross section. The eigenvectors and eigenvalues of the matrix is then computed via diagonalization. We explain some practical problems that arises when implementing the algorithm into the routine. By using this routine we analyze the mode characteristics of silica based optical waveguides of semi circular and some other typical cross sections.

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Mode Shape of Timoshenko Beam Having Different Circular Cross-Sections (다단 티모센코 원형단면봉의 연속 고유모우드)

  • 전오성
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.6 no.4
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    • pp.118-123
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    • 1997
  • The study suggests a method to analyze the vibration of the multi-stepped beam having the different circular cross-sections. The rotatory inertia, the shear deformation and the torque applied at both ends of the beam are considered in the governing equation. The complex displacement and the variable separation are introduced to derive the solution of the equation of each uniform beam element having constant cross-section. Then boundary conditions are applied to solve the total system. This method uses the mathematically exact solutions unlike numerical method such as the finite element method in solving the problem having the simultaneous differential equations of Timoshenko beam theory. the natural frequencies and the corresponding mode shapes are precise, especially the mode shapes are continuous.

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Natural Mode Analysis for Chatter Lobe Estimation (채터로브 계산을 위한 고유모우드 분석법)

  • Yoon, Moon-Chul;Cho, Hyun-Deog;Lee, Eung-Soog
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.2 no.2
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    • pp.60-66
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    • 2003
  • For the estimation of chatter lobe boundary it is very important to calculate the natural mode of cutting process. There are many time series algorithms for getting the natural mode of structural endmilling dynamics considering the cutting process. In this study, we have compared several time series methods such as AR algorithm, ARX, ARMAX, ARMA, Box Jenkins, Output Error, Recursive ARX, Recursive ARMAX considering the sampling frequency. As a results, the ARX, ARMAX and IV 4 are more desirable algorithms for the calculation of modal parameters such as natural frequency and damping ratio In endmilling operation. Also these algorithms may be adopted for the natural mode estimation of endmilling operation for chatter lobe prediction.

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p-Adaptive Analysis by Three Dimensional Hierarchical Hexahedral Solid Element (3차원 계층적 육면체 고체요소에 의한 p-적응적 해석)

  • Woo, Kwang-Sung;Jo, Jun-Hyung;Shin, Young-Sik
    • Journal of Korean Association for Spatial Structures
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    • v.8 no.4
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    • pp.81-90
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    • 2008
  • This paper presents a finite element formulation for the three-dimensional hierarchical solid element using Integrals of Legendre polynomials. The proposed hexahedral solid element is composed of four different modes including vertex, edge, face, and internal mode, respectively. The eigenvalue and patch test have been carried out to confirm the zero-energy mode and constant strain condition. In addition to these, a posteriori error estimation has been studied for the p-adaptive finite element analysis that is based on a smoothing technique to compute a post-processed solution from the finite element solution. The uniform p-refinement and non-uniform p-refinement are compared in terms of convergence rate as the number of degree of freedom is increased. The simple cantilever beam is tested to show the performance of the proposed solid element.

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A study on the dynamic characteristics of CFRP PLATE by modal analysis method (모우드 해석법에 의한 CFRP PLATE의 동특성에 관한 연구)

  • 한응교;오재응;방태규
    • Journal of the korean Society of Automotive Engineers
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    • v.11 no.1
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    • pp.44-50
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    • 1989
  • Using modal analysis method this paper examines the dynamic characteristics of composite material closely. Composite material is superior to conventional material in view of mechanical properties. So the laminate of CFRPis compared with ALPlate. As the results, the overall vibration level of CFRP is lower than that of AL Plate and is low when fiber direction is parallel to the fixed point. Also, the natural frequency of CFRP is situated in low frequency than that of AL.

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A Study on the Birefringence Properties of Single Mode Optical Fiber (단일모우드 광섬유의 Birefringence특성에 관한 연구)

  • 김은수;박한규
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.7 no.4
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    • pp.161-166
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    • 1982
  • In this paper, the intrinsic birefringence and twist-induced rotation of the single mode optical fiber have been investigated. On the analysis, the optical fiber has been modeled as a linear retarder and the intrinsic linear retardation of the single mode optical fiber is approximately found to be 2.57'/m from the measurement. Theoretically analyzing the twist-induce rotation by the purturbation theory, it is found that the magnitude of the twist-induced rotation varies linearly with the twisted angle. And this theorerical result has been in good accord with the experimental result.

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Dynamic analysis of an indeterminate system with cantilevers coated with viscoelastic material (점탄성 물질로 코팅된 부정정 외팔보계의 동적 해석)

  • Sim, Song;Kim, Kwang-Joon
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.12 no.4
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    • pp.675-681
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    • 1988
  • A simplified FRF(frequency response function) model of an indeterminate cantilever system with viscoelastic material layers is derived. A way to calculate modal damping of the system from the dynamic properties of the viscoelastic material is proposed. The model is experimentally verified.

3 Channel Measurement Technique Applied to Measure the Low Frequency Region Frequency Response Function (저주파수 영역 주파수 응답함수 측정에 대한 3채널 측정법의 적용)

  • 김경호;한상보
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1995.10a
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    • pp.74-79
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    • 1995
  • 모우드 밀도의 산정을 정확하게 구하기 위해 고주파수 영역에서 흔히 적용되는 3채널 측정법이 저주파수대 영역에서도 2채널법에 의한 방법보다 주파수 응답함수의 크기 및 공전주파수의 위치를 보다 더 잘 나타내 주고 있다는 것을 실험적으로 제시하였다. 2채널 측정법에 비하여 3채널 측정법이 모우드 밀도가 균일한 보의 경우에 있어서도 주파수 응답함수의 크기를 실제의 경우와 근접하게 추정해 줄 수 있을 뿐 아니라, 상대적으로 모우드 밀도가 높은 평판의 경우에 있어서도 공진주파수 대에서의 주파수 응답함수의 형태를 보다 분명히 나타내어 줄 수 있는 것으로 나타났다. 한편, 구조물과 가진기의 상호작용에 의한 고유진동수의 변동량 측정의 관점에서는 2채널 측정법과 3채널 측정법의 경우 모두 주파수 응답함수를 적절히 나타내어 주고 있는 것으로 나타났다.

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