• 제목/요약/키워드: Circular Plate Vibration

검색결과 130건 처리시간 0.022초

Exact mathematical solution for free vibration of thick laminated plates

  • Dalir, Mohammad Asadi;Shooshtari, Alireza
    • Structural Engineering and Mechanics
    • /
    • 제56권5호
    • /
    • pp.835-854
    • /
    • 2015
  • In this paper, the modified form of shear deformation plate theories is proposed. First, the displacement field geometry of classical and the first order shear deformation theories are compared with each other. Using this comparison shows that there is a kinematic relation among independent variables of the first order shear deformation theory. So, the modified forms of rotation functions in shear deformation theories are proposed. Governing equations for rectangular and circular thick laminated plates, having been analyzed numerically so far, are solved by method of separation of variables. Natural frequencies and mode shapes of the plate are determined. The results of the present method are compared with those of previously published papers with good agreement obtained. Efficiency, simplicity and excellent results of this method are extensible to a wide range of similar problems. Accurate solution for governing equations of thick composite plates has been made possible for the first time.

Aerodynamic characteristics of wavy splitter plate on circular cylinder

  • Liang Gao;J. Jegadeeshwaran;S. Ramaswami;S. B. M. Priya;S. Nadaraja Pillai
    • Wind and Structures
    • /
    • 제37권5호
    • /
    • pp.375-382
    • /
    • 2023
  • The aerodynamic characteristics of a circular cylinder with a wavy splitter plate were experimentally studied, specifically the potential reduction of drag and fluctuations in drag. To study the individual effects of amplitude and wavelength, the experiments were conducted by varying one parameter at a time while holding the other one constant. To study the effect of amplitude (A), the wavelength to diameter ratio (λ/D) was fixed at 0.115 and the amplitude to diameter ratio (A/D) was varied as 0.005, 0.010, 0.015 and 0.020. Similarly, to study the effect of wavelength, A/D was fixed as 0.020 and λ/D was varied as 0.46, 0.23, 0.15 and 0.12. Analysis of the data indicated that the wavy splitter plate caused a significant reduction in both the magnitude and the fluctuation of drag. The variation of aerodynamic forces and the fluctuations with them corresponding to different Reynolds numbers were computed and the spectral aspects of fluctuating forces due to vortex shedding is analysed and effective reduction in both shedding frequency and magnitude was observed.

열교환기에서의 유동유발 진동 저감 (Reduction of Flow-Induced Vibration in the Heat Exchanger)

  • 장한기;김승한;이재현;양정렬
    • 소음진동
    • /
    • 제9권6호
    • /
    • pp.1200-1209
    • /
    • 1999
  • This paper reports a peculiar example of flow-induced vibration in a very large plant and the whole procedure of reducing the vibration. During the operation of flue gas desurfurization unit of the thermal power plant, serious vibration was dtected at all around the plant. The worst vibration was recorded on the heat exchanger surface, which weighed 180 tones, as 17.8 m/$s^2$ in vibration amplitude at 34 Hz. To identify the vibration, frequency analysis on the response vibration as well as on the expected excitation forces and the system resonance was executed. This investigation revealed that the cause of the vibration was vortex shedding from the circular pipes in the heat exchanger. Vortices from the pipes excited acoustic resonance in the heat exchanger room, which, in turn, made the structure vibrate. Through inserting the baffles between the pipes, which had an effect of cutting the acoustic wave at resonance frequency, the vibration was eliminated dramatically.

  • PDF

주위가 고정된 원형 평판을 가진 란주반 트랜스듀서의 방사 특성 해석 (Radiation characteristics analysis of Langevin transducer having a rim-fixed circular plate)

  • 김정순;윤지원;김무준
    • 한국음향학회지
    • /
    • 제43권4호
    • /
    • pp.391-399
    • /
    • 2024
  • 란주반 트랜스듀서에 의해 강제 진동되는 원형 진동판으로부터 방사되는 음장의 분포를 해석하기 위하여 L. Rayleigh에 의해 도출된 진동 원판의 운동방정식을 기초로 구동 영역 및 고정 경계영역의 경계 조건을 적절히 적용하여 이론적 해석모델을 도출하였다. 도출된 해석모델을 이용하여 진동 원판의 표면에 분포하는 진동 변위를 계산하고 이로부터 방사되는 초음파에 의해 형성되는 음장을 계산한 결과, 진동 원판의 넓이에 따라 방사 특성이 크게 변함을 확인할 수 있었다. 비교를 위하여 유한요소법인 COMSOL 프로그램을 사용하여 동일한 시스템에 대한 시뮬레이션을 수행한 결과 이론 계산 결과와 좋은 일치를 보여 본 연구에서 도출한 이론적 해석모델의 유효성을 확인할 수 있었다. 본 연구에서 도출한 이론적 해석모델은 초음파 화학분야 등 관련 디바이스의 설계 및 개발에 활용될 수 있을 것으로 기대된다.

Wave propagation in a generalized thermo elastic circular plate immersed in fluid

  • Selvamani, R.;Ponnusamy, P.
    • Structural Engineering and Mechanics
    • /
    • 제46권6호
    • /
    • pp.827-842
    • /
    • 2013
  • In this paper, the wave propagation in generalized thermo elastic plate immersed in fluid is studied based on the Lord-Shulman (LS) and Green-Lindsay (GL) generalized two dimensional theory of thermo elasticity. Two displacement potential functions are introduced to uncouple the equations of motion. The frequency equations that include the interaction between the plate and fluid are obtained by the perfect-slip boundary conditions using the Bessel function solutions. The numerical calculations are carried out for the material Zinc and the computed non-dimensional frequency, phase velocity and attenuation coefficient are plotted as the dispersion curves for the plate with thermally insulated and isothermal boundaries. The wave characteristics are found to be more stable and realistic in the presence of thermal relaxation times and the fluid interaction.

고속 원형충돌제트의 불안정 특성 (2) (Instabilities of High-speed Impinging Circular Jets(2))

  • 임정빈;김현중;권영필
    • 한국소음진동공학회:학술대회논문집
    • /
    • 한국소음진동공학회 1998년도 춘계학술대회논문집; 용평리조트 타워콘도, 21-22 May 1998
    • /
    • pp.486-491
    • /
    • 1998
  • 본 연구에서는 충돌면의 형상에 따른 고속 원형 충돌제트의 불안정 모드를 밝히기 위하여 우선 충돌면의 형상에 따른 주파수 특성을 비교하고자 하였다. 이를 위해 충돌면이 제트의 직경보다 작은 원판(small plate)과 제트의 직경보다 큰 구멍(hole)의 2가지 경우에 대하여 실험을 하였고, 평판 충돌음에 대한 연구결과와 비교 검토하였다.

  • PDF

원판의 비선형 비대칭진동을 위한 가해조건을 수정하고 -Nayfeh, Mook교수와 함께 보낸 한 주일- (Corrected Solvability Conditions for Nonlinear Asymmetric Vibrations of a Circular Plate -A Report on a Discussion with Nayfeh and Mook-)

  • 이원경
    • 한국소음진동공학회:학술대회논문집
    • /
    • 한국소음진동공학회 2001년도 추계학술대회논문집 II
    • /
    • pp.565-575
    • /
    • 2001
  • 나는 대학원생인 여명환군과의 공동연구를 통해 결함 없는(perfect) 원판의 비선형 비대칭진동에 관한 Sridhar, Mook, Nayfeh에 의한 기존연구[1]에서 구한 가해조건(solvability conditions: 해를 asymptotic expansion으로 근사하는 과정에서 해가 유한하기 위해 응답특성이 만족해야 하는 조건)에 오류가 있음을 발견하고 수정하게 되었다. (중략)

  • PDF

Buckling and vibration of laminated composite circular plate on winkler-type foundation

  • Afsharmanesh, B.;Ghaheri, A.;Taheri-Behrooz, F.
    • Steel and Composite Structures
    • /
    • 제17권1호
    • /
    • pp.1-19
    • /
    • 2014
  • Buckling and vibration characteristics of circular laminated plates under in-plane edge loads and resting on Winkler-type foundation are solved by the Ritz method. Inclusive numerical data are presented for the first three eigen-frequencies as a function of in-plane load for different classical edge conditions. Moreover, the effects of fiber orientation on the natural frequencies and critical buckling loads of laminated angle-ply plates with stacking sequence of $[({\beta}/-{\beta}/{\beta}/-{\beta})]_s$, are studied. Also, selected deformation mode shapes are illustrated. The correctness of results is established using finite element software as well as by comparison with the existing results in the literature.

고속 원형충돌제트의 불안정 특성 (Instabilities of High-speed Impinging Circular Jets)

  • 임정빈;권영필
    • 한국소음진동공학회:학술대회논문집
    • /
    • 한국소음진동공학회 1997년도 추계학술대회논문집; 한국과학기술회관; 6 Nov. 1997
    • /
    • pp.256-262
    • /
    • 1997
  • The characteristics of the unstable impinging circular jet were investigated based on the frequency characteristics and the sound field of the impinging-tones. Two symmetric modes Si and S2, associated with low frequency and high frequency respectively, and one helical mode H have been observed by measuring frequency and phase-distribution around the jet. Radiation characteristics of impinging-tone were studied by measuring axial directivity. It was founded that the radiation patterns of symmetric and helical mode are different and it is toward the plate as the impinging distance increased. By estimating the convection velocity of the unstable jet, it was founded that the convection speed decreases with the frequency and its decreasing pattern varies with unstable modes S1, S2 and H, respectively.

  • PDF

Free vibration analysis of thick CGFR annular sector plates resting on elastic foundations

  • Tahouneh, Vahid
    • Structural Engineering and Mechanics
    • /
    • 제50권6호
    • /
    • pp.773-796
    • /
    • 2014
  • This paper deals with free vibration analysis of continuous grading fiber reinforced (CGFR) and bi-directional FG annular sector plates on two-parameter elastic foundations under various boundary conditions, based on the three-dimensional theory of elasticity. The plates with simply supported radial edges and arbitrary boundary conditions on their circular edges are considered. A semi-analytical approach composed of differential quadrature method (DQM) and series solution is adopted to solve the equations of motion. Some new results for the natural frequencies of the plate are prepared, which include the effects of elastic coefficients of foundation, boundary conditions, material and geometrical parameters. Results indicate that the non-dimensional natural frequency parameter of a functionally graded fiber volume fraction is larger than that of a discrete laminated and close to that of a 2-layer. It results that the CGFR plate attains natural frequency higher than those of traditional discretely laminated composite ones and this can be a benefit when higher stiffness of the plate is the goal and that is due to the reduction in spatial mismatch of material properties. Moreover, it is shown that a graded ceramic volume fraction in two directions has a higher capability to reduce the natural frequency than conventional one-dimensional functionally graded material. The multidirectional graded material can likely be designed according to the actual requirement and it is a potential alternative to the unidirectional functionally graded material. The new results can be used as benchmark solutions for future researches.