• Title/Summary/Keyword: 끝단진동

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Study on Analysis of Evanescent Waves Generating the Strong End Axial Vibration of a Finite Cylindrical Shell (유한 원통셸의 큰 끝단 종진동을 발생시키는 감쇠파에 대한 분석 연구)

  • Kil, Hyun-Gwon
    • The Journal of the Acoustical Society of Korea
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    • v.30 no.7
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    • pp.361-367
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    • 2011
  • Propagating waves (flexural, longitudinal and shear waves) travelling with constant amplitudes and evanescent waves decaying exponentially are generated on a cylindrical shell. Evanescent waves are generally generated in the vicinity of an vibration excitation point and near ends of the shell. But the evanescent waves can generates strong axial vibration at the ends of the cylindrical shell. The strong end axial vibration due to those evanescent waves has been observed in an author's previous paper dealing with measurements of the in-plane axial vibration of a finite cylindrical shell. In this paper the strong end axial vibration due to the evanescent waves has been theoretically analyzed. In order to analyze the vibration of the cylindrical shell, wave propagation approach has been implemented. Comparison between theoretical and experimental results for the axial vibration of the shell showed that the strong evanescent wave can be generated due to mode conversion (conversion from flexural wave to evanescent wave) at the ends of cylindrical shell. It also showed that the evanescent wave can generate the strong axial vibration near the ends of the cylindrical shell and that it can have effect even on 1/3 of the total length of the shell.

Study On the End Vibration of a Cylindrical Shell (원통셸의 끝단 진동에 대한 연구)

  • Lee, J.Y.;Kil, H.G.;Lee, C.
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2007.11a
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    • pp.1321-1324
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    • 2007
  • In this paper, the in-plane end vibration of a cylindrical shell has been analyzed. The theoretical result has showed that the strong in-plane vibration at the ends of the cylindrical shell can be generated by the evanescent wave field, which is excited along about half the length of the shell. This has been also observed from experimental result. The evanescent waves are generated due to mode conversion of elastic waves at the ends of the cylindrical shells. The results show that the strong in-plane end vibration can be generated in cylindrical shells.

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Wave Interpretation of Forced Vibration of Finite Cylindrical Shells (탄성파를 이용한 유한 원통셸의 강제진동 해석)

  • 길현권
    • The Journal of the Acoustical Society of Korea
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    • v.18 no.2
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    • pp.83-89
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    • 1999
  • The forced vibration of a finite cylindrical shell has been analyzed from an elastic wave viewpoint. The displacement vector is used to formulate the vibration field, that is regarded as a superposition of disturbances due to elastic waves propagating on the shell. The reflection matrix is also used in the formulation of the vibration field, that is easily derived in the present approach. It allows one to easily identify the wave conversion of elastic waves at the ends of the shell. The present approach is used to predict the vibration field of the cylindrical shell with free-free boundary conditions. The contribution of each type of elastic waves into the vibration field was identified, and the wave conversion at the ends of the shell was observed. Those results showed that the present approach can be effectively used to analyze the forced vibration of the cylindrical shell from an elastic wave viewpoint.

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초음파 진동 절삭 공구 혼(tool horn)설계에 관한 연구

  • 강종표;송지복
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1991.04a
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    • pp.39-45
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    • 1991
  • 최근 진동 절삭 가공 및 용착 등에 초음파 진동을 동력적으로 응용하려는 시도가 급증하고 있다. 이 분야에서는 진동자에서 발생되는 미소한 진폭의 적은 초음파 에너지를 큰 에너지로변환시키는 방법으로서 진동자의 끝단에 진동자와 동일한 진동수의 고유진동수를 가진 부스터와 tool horn을 부착하여 공진에 의해 진폭의 증폭으로 큰 에너지를 얻고 있다. 그러나 부스터와 tool horndml의 고유 진동수가 진동자의 진동수와 일치하지 않을 경우에는 tool horn 의 끝단에 진동이 전달되지 않는 결과를 초래하게 된다. 본 연구에서는 유한 요소법을 이용하여 축대칭 및 3차원 형상의 tool horn에 대한 고유 진동수 계산 퍼스널 컴퓨터만으로도 tool horn을 설계할 수 있도록 하여 이 결과를 실용 tool horn 설계 제작에 손쉽게 이용할 수 있도록 하였다.

Co-rotational Plane beam-Dynamic tip load를 이용해 외팔보 진동에 영향을 미치는 요인 분석과 지진 상황 시 건물의 면진 주기 설정

  • Jo, Seong-Bae;Mun, Byeol
    • Proceeding of EDISON Challenge
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    • 2015.03a
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    • pp.269-273
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    • 2015
  • 처음 에디슨 경진대회를 준비할 때 업로드 되어 있는 다양한 프로그램을 보면서 어떤 주제를 선정할 지 고민을 하던 중, 눈에 들어온 프로그램은 서울대학교에서 제작한 Co-rotational Plane beam-Dynamic tip load이란 프로그램이었다. 위 프로그램은 한쪽 단이 고정된 외팔보(cantilever beam)의 끝단에 하중을 시간에 관련된 함수(sin, cos)로 주어 각 절점에서의 변위(X, Y), 속도 그리고 가속도를 알려주는 프로그램이다. 우리는 이 프로그램을 이용해서 외팔보 끝단의 진동 형태와 주기가 어떤 요인(단면의 모양, 재료의 성질, 가하는 하중의 진동수 등)에 의해서 변하는지 분석할 수 있었다. 거기서 더 나아가 하중을 실제 지진상황에서의 크기와 유사하게 주고 위 프로그램에서의 보의 거동(진동 주기, 진동 변위 등)을 건물의 거동이라 가정했을 때 면진 주기를 얼마로 설정해야하는지도 알 수 있었다.

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Free Vibrations of Tapered Beams with General Boundary Conditions and Tip Masses (끝단 질량과 일반적인 단부조건을 갖는 변단면 보의 자유진동)

  • 오상진;이병구;박광규;이종국
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2003.11a
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    • pp.802-807
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    • 2003
  • The purpose of this paper is to investigate the free vibration characteristics of tapered beams with translational and rotational springs and tip masses at the ends. The beam model is based on the classical Bernoulli-Euler beam theory. The governing differential equation for the free vibrations of linearly tapered beams is solved numerically using the corresponding boundary conditions. Numerical results are compared with existing solutions by other methods for cases in which they are available. The lowest three natural frequencies are calculated over a wide range of non-dimensional system parameters: the translational spring parameter, the rotational spring parameter, the mass ratio and the dimensionless mass moment of inertia.

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Vibration Analysis of a Rotating Cantilever Beam with Tip Mass Using DTM (끝단 집중 질량을 갖는 회전 외팔보의 DTM을 이용한 진동 해석)

  • Kim, Min-Ju;Kang, Nam-Cheol
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.20 no.11
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    • pp.1058-1063
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    • 2010
  • The vibration analysis of a rotating cantilever beam with tip mass was studied by using DTM(differential transformation method). DTM is one of the numerical methods, for finding series solutions by transforming differential equations to algebraic ones similar with Laplace transform. The advantages of the DTM are that it is easy to understand and is effective in finding numerical solutions. Applying DTM, the natural frequencies of a rotating cantilever beam were obtained taking into consideration the effects of tip mass. Also, convergence study of DTM was performed to decide the number of terms used in eigenvalue problems. Numerical results obtained by DTM show good agreement with those by other methods. As a result, it is expected that DTM can be a useful method in vibration analysis such as that of a rotating cantilever beam with tip mass.

A Study on Thermally-Induced Vibration of Flexible Space Structures (유연 우주구조물의 열적 유기 진동에 관한 연구)

  • Gong, Chang-Deok;O, Gyeong-Won;Y.Sugiyama
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.31 no.9
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    • pp.46-54
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    • 2003
  • The purpose of this study is to analyze the phenomena of the thermally-induced vibration for the flexible space structure due to abrupt change of radiation heating circumstance using the numerical analyze and experiment test. In order to verify this structure, numerical approaches on the simplified flexible tube were compared with experimental test results at the ground experimental facility. In this analyze, it was found that the thermal deformation occurs firstly due to fast radiation heating of flexible structure and then the thermally-induced vibration would be induced due to small periodic change of temperature. According to comparison of numerical and experimental results, in case of no tip mass, the first mode vibration by the numerical analyze was a.78Hz same as that of the experimental result. However in case of increase tip-masses of 8g, 16g, 50g and 100g, the first modes vibration theoretical analyze were 1.75Hz, I.3Hz, a.87Hz and 0.73Hz, in decrease trend respectively and those by experimental test were 2.34Hz, 1.5Hz, 0.78Hz and 0.78Hz in decrease trend respectively. Although using the simpled equation for the estimation, the estimation results were similar to experimental results.