• 제목/요약/키워드: 원판의 진동

검색결과 105건 처리시간 0.021초

테두리가 보강된 회전 원판의 반-유한요소해석 (Semi-finite Element Analysis of Rotating Disks Reinforced at Rim)

  • 구교남
    • 한국소음진동공학회논문집
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    • 제19권5호
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    • pp.537-544
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    • 2009
  • In order to increase the critical speed of rotating disks of which functional material could not be changed such as in optical and magnetic data storage disks, a new disk with a rim reinforced by composite material is proposed and its concept is verified by numerical analysis. Stress distributions are found for the rotating disk composed of two annular disks of which materials are isotropic inside and orthotropic outside. Dynamic equation is formulated in order to calculate the natural frequency and critical speed. For the solution of lateral vibration, a rotational symmertry condition is applied along circumferential direction and a finite element interpolation with Hermite polynomial is performed along the radial direction to obtain a proper solution. According to the results, reinforcing a disk at rim makes critical speeds drastically increased, and induces a buckling phenomenon in mode (0,0) which occurs over the lowest critical speed.

독립좌표연성법을 이용한 정사각형 구멍을 갖는 단순지지 원판의 자유진동해석 (Free Vibration Analysis of a Simply-supported Circular Plate with a Concentric Square Hole by the Independent Coordinate Coupling Method)

  • 허석;곽문규
    • 한국소음진동공학회논문집
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    • 제19권2호
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    • pp.192-199
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    • 2009
  • This paper presents the free vibration analysis of a circular plate with a concentric square hole. The boundary condition is the edge of the square hole is free and the outer circular plate is simply supported. Due to the geometric abnormality, this analysis does not permit an exact solution. The present problem deals with the numerical calculation of the natural frequencies and mode shapes of vibration of the structure by independent coordinate coupling method(ICCM). The numerical results show the efficacy of the ICCM and changes in natural frequencies and modes due to the square hole size.

비틀림 진동 변환기용 압전 원판의 진동특성 해석 (Vibration Characteristics Analysis of a Piezoelectric Disc or Torsional Transducers)

  • 이정현;김진오
    • 한국소음진동공학회논문집
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    • 제15권12호
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    • pp.1416-1421
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    • 2005
  • This paper presents an analytical approach for the vibration characteristics of a piezoelectric disc for torsional vibration transducers. The characteristic equation of the piezoelectric annular disc has been derived from Gibbs' free energy equations and mechanical and electrical equilibrium. With an anisotropic material properties of the disc, the characteristic equation has yielded resonance frequencies. Numerically-calculated results have been compared with the results obtained by the finite element analysis and experiments and have confirmed the validity of the theoretical analysis.

다양한 경계조건에서 원판이 결합된 원통 셸의 고유진동 해석 (Analysis of Free Vibration of a Cylindrical Shell with a Circular Plate Under Various Kinds of Boundary Conditions)

  • 임정식;손동성
    • 소음진동
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    • 제8권5호
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    • pp.936-948
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    • 1998
  • A theoretical formulation for the analysis of free vibration of a cylindrical shell with a circular plate attached at an arbitrary axial position of the shell under various kinds of boundary conditions was derived and programed to get the numerical results for natural frequencies and mode shapes of the combined system. The boundary conditions of the shell to be considered here are clamped-free, clamped-simply supported, both ends clamped and both ends simply supported. The frequencies and mode shapes from theoretical calculation were compared with those of commercial finite element code, ANSYS. The results showed good agreement with those of ANSYS in frequencies and mode shapes. The program will contribute to the design optimization of a shell/plate combined system through the analysis of natural frequencies and mode shapes for the system.

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내부공진을 가진 원판의 조합공진응답의 안정성 해석 (Stability Analysis of Combination Resonance Responses of a Circular Plate with Internal Resonance)

  • 이원경;김철홍
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 1993년도 춘계학술대회논문집; 한국과학연구소, 21 May 1993
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    • pp.23-29
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    • 1993
  • 내부공진 (.omega.$_{3}$ = .omega.$_{1}$ + 2.omega.$_{2}$)을 가진 원판 의 조합공진(.OMEGA. = 2.omega.$_{1}$ + .omega.$_{2}$)응답의 안정성 을 해석한 결과 다음과 같은 결론을 얻었다. 1) 모든 진폭이 0(.alpha.$_{1}$=.alpha.$_{2}$=.alpha.$_{3}$=0)인 공진응답 은 매개변수의 값에 관계없이 안정하다. 2) 모든 진폭이 0이 아닌 (.alpha.$_{1}$.neq.0, .alpha.$_{2}$.neq.0, .alpha.$_{3}$.neq.0) 공진응답은 쌍으로 존재하는데 진폭이 큰 응답(upper branch)은 안정하나 진폭이 작은 응답(lower branch)은 불안정하다. 3) 진폭이 0이 아닌 공진응답이 존재하지 않는 경우에는 선형계와 마찬가지 로 모든 진폭이 0이 공진응답(결과적으로 비공진 응답)이 계의 응답을 지배 하지만 모든 진폭이 0이 아닌 공진응답이 존재하는 경우에는 안정한 공진응 답이 2개이므로 초기조건이 실제의 응답을 결정하게 된다.

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가변두께를 가지는 원판의 진동해석에 관한 연구 (Vibration Analysis of Circular Plate with Continuously Varying Thickness)

  • 신영재;전수주;윤종학;유영찬
    • 한국강구조학회 논문집
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    • 제18권1호
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    • pp.1-10
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    • 2006
  • 본 논문은 원형 판의 진동 해석에 미분변환법을 적용하였다. 계산된 수치적인 결과들은 이전의 연구결과들과 비교되었다. 그 결과를 기존의 연구 결과와 비교하여 미분변환법의 타당성을 검증하였고, 두께 형상과 경계조건 및 내경변화에 의한 고유진동수의 변화를 해석 및 고찰하였다. 유용성을 입증하였다.

환형평판과 원판으로 구성된 유체용기의 고유진동 해석 (Free Vibration Analysis of Fluid Vessel with Annular and Circular Plates)

  • 정경훈;김종인;박근배
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2005년도 춘계학술대회논문집
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    • pp.295-300
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    • 2005
  • An analytical method for the hydroelastic vibration of a vessel composed of an upper annular plate and a lower circular plate is developed by the Rayleigh-Ritz method. The two plates are clamped along a rigid cylindrical vessel wall. It is assumed that the fluid bounded by a rigid cylindrical vessel is incompressible and non-viscous. The wet mode shape of the plates is assumed as a combination of the dry mode shapes of the plates. The fluid motion is described by using the fluid displacement potential and determined by using the compatibility conditions along the fluid interface with the plate. Minimizing the Rayleigh quotient based on the energy conservation gives an eigenvalue problem. It is found that the theoretical results can predict well the fluid-coupled natural frequencies comparing with the finite element analysis result.

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환형평판과 원판으로 구성된 유체용기의 고유진동 해석 (Free Vibration Analysis of Fluid Vessel with Annular and Circular Plates)

  • 정경훈;김종인;박진석
    • 한국소음진동공학회논문집
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    • 제15권8호
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    • pp.968-974
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    • 2005
  • An analytical method for the hydroelastic vibration of a vessel composed of an upper annular plate and a lower circular plate is developed by the Rayleigh-Ritz method. The two plates are clamped along a rigid cylindrical vessel wall. It is assumed that the fluid bounded by a rigid cylindrical vessel is incompressible and non-viscous. The wet mode shape of the plates is assumed as a combination of the dry mode shapes of the plates. The fluid motion is described by using the fluid displacement potential and determined by using the compatibility conditions along the fluid interface with the plate. Minimizing the Rayleigh quotient based on the energy conservation gives an eigenvalue problem. It is found that the theoretical results can predict well the fluid-coupled natural frequencies comparing with the finite element analysis result.