• Title/Summary/Keyword: Natural Vibration analysis

Search Result 1,937, Processing Time 0.031 seconds

Free Vibration and Buckling Analysis of the Composite Laminated Cylindrical Shells with the Orthogonal Stiffeners (직교보강된 복합재료 원통셀의 진동 및 좌굴해석)

  • 이영신;김영완
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
    • /
    • 1996.04a
    • /
    • pp.349-354
    • /
    • 1996
  • The analytical solutions for the free vibration and buckling of cross-ply laminated composite cylindrical shell with axial stiffeners(stringers) and circumferential stiffeners(rings), that is, orthogonally stiffened shells, are presented using the energy method. The stiffeners are assumed to be an integral part of the shell and have been directly included in analysis(it's called discrete stiffener theory). The effect of the parameters such as the stacking sequences, the shell thickness, the shell length-to-radius ratio are studied. By comparison with the previously published analytical results for the stiffened cylindrical shells, it is shown that natural frequencies can be determined with adequate accuracy.

  • PDF

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

  • Koo, Kyo-Nam
    • Transactions of the Korean Society for Noise and Vibration Engineering
    • /
    • v.19 no.5
    • /
    • pp.537-544
    • /
    • 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.

Vibration Analysis of a Deploying and Spinning Beam with a Time-dependent Spinning Speed (시간에 따라 변하는 회전 속도와 함께 회전하며 전개하는 보의 진동 분석)

  • Zhu, Kefei;Chung, Jintai
    • Transactions of the Korean Society for Noise and Vibration Engineering
    • /
    • v.25 no.12
    • /
    • pp.874-880
    • /
    • 2015
  • This paper presents the vibration analysis of a deploying beam with spin when the beam has a time-dependent spinning speed. In the previous studies for the deploying beams with spin, the spinning speed was time-independent. However, it is more reasonable to consider the time-dependent spinning speed. The present study introduces the time-dependent spinning speed in the modeling. The Euler-Bernoulli beam theory and von Karman nonlinear strain theory are used together to derive the equations of motion. After the equations of motion are transformed into the weak forms, the weak forms are discretized. The natural frequency and dynamic response are obtained. The effect of the time-dependent spinning speed on the dynamic response is studied.

Vibration Analysis of a Cracked Beam with a Concentrated Mass Undergoing Rotational Motion (크랙과 집중질량을 갖는 회전 외팔보의 진동 해석)

  • Kim, Min-Kwon;Yoo, Hong-Hee
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
    • /
    • 2008.11a
    • /
    • pp.354-359
    • /
    • 2008
  • Modal characteristics of a cracked beam with a concentrated mass undergoing rotational motion are investigated in this paper. Hybrid deformation variables are employed to derive the equations of motion of a rotating cantilever beam. The flexibility due to crack, which is assumed to be open during the vibration, is calculated basing on a fracture mechanics theory. To obtain more general information, the equations of motion are transformed into a dimensionless form in which dimensionless parameters are identified. The effects of the dimensionless parameters related to the angular speed, the depth and location of a crack and the size and location of a concentrated mass on the modal characteristics of the beam are investigated numerically.

  • PDF

Vibration Analysis of Plates with Openning about Variation Ratio (변단면률의 변화에 대한 개구부를 갖는 판의 진동해석)

  • Kim, Il-Jung
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
    • /
    • 2007.05a
    • /
    • pp.1177-1180
    • /
    • 2007
  • This paper has the objects of deciding dynamic instability regions of thick plates by finite element method and providing kinematic design data for mats and slabs of building structures. In this paper, dynamic stability analysis of tapered opening thick plate is done by use of Serendipity finite element with 8 nodes considering shearing strain of plate. To verify this finite element method, buckling stress and natural frequencies of thick pate with or without in-plane stress are compared with existing solutions. The results are as follow that this finite element solutions with $4{\times}4$ meshes are shown the error of maximum 0.56% about existing solutions, and obtained dynamic instability graph according with variation of opening positions.

  • PDF

Analytical investigation of the surface effects on nonlocal vibration behavior of nanosize curved beams

  • Ebrahimi, Farzad;Daman, Mohsen
    • Advances in nano research
    • /
    • v.5 no.1
    • /
    • pp.35-47
    • /
    • 2017
  • This paper deals with free vibration analysis of nanosize rings and arches with consideration of surface effects. The Gurtin-Murdach model is employed for incorporating the surface effect parameters including surface density, while the small scale effect is taken into consideration based on nonlocal elasticity theory of Eringen. An analytical Navier solution is presented to solve the governing equations of motions. Comparison between results of the present work and those available in the literature shows the accuracy of this method. It is explicitly shown that the vibration characteristics of the curved nanosize beams are significantly influenced by the surface density effects. Moreover, it is shown that by increasing the nonlocal parameter, the influence of surface density reduce to zero, and the natural frequency reaches its classical value. Numerical results are presented to serve as benchmarks for future analyses of nanosize rings and arches.

Free Vibration Analysis of Two Rectangular Plates Coupled with Fluid (유체와 연성된 두 직사각 평판의 고유진동 해석)

  • 유계형;정경훈;이성철
    • Proceedings of the Korean Society of Precision Engineering Conference
    • /
    • 2001.04a
    • /
    • pp.752-755
    • /
    • 2001
  • In order to investigate the vibration characteristics of fluid-structure interaction problem, we modeled two rectangular identical plates coupled with bounded fluid. The fixed boundary condition along the plate edges and an ideal fluid are assumed. MSC/NASTRAN was used to perform finite element analysis and analytic solutions were compared with experimental solutions to verify finite element model. As a result, comparison of FEM and experiment show good agreement, and the transverse vibration modes, in-phase and out of-phase, were observed alternately in the fluid-coupled system. The effect of distance between two rectangular plates on the fluid-coupled natural frequency is investigated.

  • PDF

Experimental Modal Analysis of Perforated Rectangular Plates Submerged in Water (물에 잠긴 다공 직사각평판의 실험적 모드해석)

  • Yoo, Gye-Hyoung;Lee, Myung-Gyu;Jeong, Kyeong-Hoon;Lee, Seong-Cheol
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
    • /
    • 2002.11a
    • /
    • pp.345.1-345
    • /
    • 2002
  • This paper dealt with an experimental study on the hydroelastic vibration of clamped perforated rectangular plates submerged in water. The penetration of holes in the plates had a triangular pattern with P/D (pitch to diameter) 1.750, 2.125, 2.500, 3.000 and 3.750. The natural frequencies of the perforated plates in air were obtained by the analytical method based on the relation between the reference kinetic and maximum potential energies and compared with the experimental results. (omitted)

  • PDF

Nonlinear Vibration Analysis of Cantilever Beam Subject to Electromagnetic Force (전자력을 받는 외팔보의 비선형진동)

  • 최연선;서경석;우영주
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
    • /
    • 2001.05a
    • /
    • pp.283-288
    • /
    • 2001
  • The nonlinear vibration of a cantilever beam due to electromagnetic force is studied. The dynamic responses of the beam show various phenomena with the variation of the system parameters, such as jump phenomenon, multiple solutions and the change of the natural frequency. The nonlinear stiffness due to electromagnetic forces which depends on air gap size is measured experimentally. This system was modeled by a single degree of freedom nonlinear dynamic system and solved numerically for the system parameters. The numerical results show good agreements with the experimental observations, which demonstrates the nonlinearity of magnetic force.

  • PDF

Reduction of Booming Noise Using Damper Clutch Disk on the Drive Shaft of Commercial Small Truck (상업용 소형 트럭의 구동축에서 댐퍼 클러치 디스크를 이용한 부밍 소음 저감)

  • Kim, Yong Dae;Choi, Byungjae
    • Transactions of the Korean Society for Noise and Vibration Engineering
    • /
    • v.25 no.6
    • /
    • pp.377-383
    • /
    • 2015
  • Torsion mode or bending mode of drive-line for rear-wheel drive vehicle exists in low frequency band. If resonance exists there between natural mode of driveline and powertrain excitation force, drive-line will manifest excessive vibration response. Also, the vibration response can be transmitted to vehicle body and can induce booming noise. A vehicle in this study exhibits a booming noise problem under specific transmission gear condition. To draw performance improvement plan, finite element analysis technique was used. Modification was evaluated qualitatively and priorities were derived. Finally, effectiveness of best modification was verified through test and full vehicle FE analysis.