• Title/Summary/Keyword: Gyroscopic

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A Study on Whirling, Tilting, Flying motion of 3.5 inch FDB spindle system (3.5인치 FDB 스핀들 시스템의 Whirling, Tilting, Flying motion에 관한 연구)

  • 오승혁;이상훈;장건희
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2003.11a
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    • pp.579-585
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    • 2003
  • This paper investigates the whirling, tilting and flying motion of a HDD spindle system supported by FDB experimentally. Experimental setup is built to measure the flying, whirling and tilting motion of the HDD spindle system, and three capacitance probes fixed on the xyz-micrometers measure the displacement of a HDD spindle system in the xyz-directions. This research shows that the tilting and whirling motion is mostly dependent on the centrifugal force and the gyroscopic moment due to the unbalanced mass of a HDD spindle. It also shows that the rotating HDD spindle starts to float to the equilibrium position in the z-direction until the weight of the rotating spindle is equal to the supporting pressure generated in the upper and lower thrust bearing.

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Vibration Analysis of Rotating Inward Cantilever Beams With a Tip-Mass (집중질량을 갖는 회전중심방향 자유단 외팔보의 진동해석)

  • Lee, Gun Ho;Yoo, Hong Hee
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2014.10a
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    • pp.389-391
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    • 2014
  • The Vibration Analysis of Rotating Inward Beams Considering The Tip-Mass is presented based on Euler-Bernoulli beam theory. The frequency equations, which are coupled through gyroscopic coupling terms, are calculated using hybrid deformation variable modeling along with the Rayleigh-Ritz assumed mode methods. In this study, resulting system of ordinary differential equations shows the effects of angular speed, and Young's modulus ratio. It is believed that the results will be a reference with which other researchers and commercial FE analysis program, ANSYS can compare their results.

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Three-Dimensional Rotordynamic Analysis Considering Bearing Support Effects (베어링 지지 효과를 고려한 3 차원 로터동역학 해석)

  • Park, Hyo-Keun;Kim, Dong-Hyun;Kim, Myung-Kuk;Chen, Seung-Bae
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2006.05a
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    • pp.902-909
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    • 2006
  • In this study, three-dimensional rotordynamic analyses have been conducted using equivalent beam, hybrid and fun three-dimensional models. The Present computational method is based on the general finite element method with rotating gyroscopic effects of a rotor system. General purpose commercial finite element code, SAMCEF which includes practical rotordynamics module with various types of rotor analysis methods and bearing elements is applied. For the purpose of numerical verification, comparison study for a benchmark rotor model with support bearings is performed first. Detailed finite element models based on three different modeling concepts are constructed and then computational analyses are conducted for the realistic and complex three-dimensional rotor system. The results for rotor stability and mass unbalance response are presented and compared with the experimental vibration test conducted in this study.

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Finite Element Formulations of the Rotor-Bearing System for Whirl Speed Analysis (로터-베어링 시스템의 훨링속도 해석을 위한 유한요소 정식화)

  • Yun, Seong-Ho
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2007.04a
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    • pp.625-630
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    • 2007
  • This paper accounts for derivations and formulations of the finite element dynamic equation of the rotor-bearing system to analyze its whirling speed. It turns out to be a different form from previous researcher's because of different successive sequences of Euler angles. Correspondingly the adoption of other rotation tensor will be needed for a consistent derivation of the dynamic equation. The process of its finite element formulation with consistent mass matrix and gyroscopic matrix involves a general definition of the modal analysis or the Eigen analysis for the damped system in the inertial frame and rotating frame, respectively.

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Modal Analysis of the Switched Reluctance Motor Using 3D Transfer Matrix Method (3차원 전달행렬법을 이용한 스위치드 릴럭턴스 전동기의 모달 해석)

  • Ha, K.H.;Kang, K.H.;Hong, J.P.;Kim, G.T.
    • Proceedings of the KIEE Conference
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    • 1999.07a
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    • pp.173-175
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    • 1999
  • This paper deals with the rotor vibration analysis of Switched Reluctance Motor(SRM) with the 6/4 poles. For this analysis, 3-dimensional mode shapes corresponding to the natural frequency and critical speed map according to rotor speed are presented by using 3D Transfer Matrix Method(TMM). The gyroscopic effect and shear deformation of rotor are considered.

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Free vibration analysis of rotating cantilever plates using the p-version of the finite element method

  • Hamza-Cherif, Sidi Mohammed
    • Structural Engineering and Mechanics
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    • v.22 no.2
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    • pp.151-167
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    • 2006
  • A p-version of the finite element method in conjunction with the modeling dynamic method using the arc-length stretch deformation is considered to determine the bending natural frequencies of a cantilever flexible plate mounted on the periphery of a rotating hub. The plate Fourier p-element is used to set up the linear equations of motion. The transverse displacements are formulated in terms of cubic polynomials functions used generally in FEM plus a variable number of trigonometric shapes functions representing the internals DOF for the plate element. Trigonometric enriched stiffness, mass and centrifugal stiffness matrices are derived using symbolic computation. The convergence properties of the rotating plate Fourier p-element proposed and the results are in good agreement with the work of other investigators. From the results of the computation, the influences of rotating speed, aspect ratio, Poisson's ratio and the hub radius on the natural frequencies are investigated.

Coupled Transverse Vibrations of Propeller-Shaft Systems (추진축계(推進軸系)의 연성횡진동(聯成橫振動)에 관(關)하여)

  • Si-Young,Ahn
    • Bulletin of the Society of Naval Architects of Korea
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    • v.22 no.1
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    • pp.38-44
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    • 1985
  • A computer program was developed for the analysis of the coupled transverse vibrations of a multi-supported shaft system. The program, based on the theory of Transfer Matrix Method, was written including the system parameters such as the entrained water and gyroscopic effects of the propeller, the rigidity of bearing combined with the oil film effect, and the whirling frequency of the shaft. The program was used to calculate the resonance frequency of the shafting system of the ship Hanbada. The results show good agreement with the measured values. The results are also compared with those of F.E.M. from the comparison, it is found that both results agree well with each other.

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A Study on Dynamic Characteristics by Gearbox of High-speed Pump (고속 펌프용 증속기의 동특성에 관한 연구)

  • Lee, Dong-Hwan;Lee, Hyeong-U
    • 연구논문집
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    • s.31
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    • pp.65-75
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    • 2001
  • A dynamic model of pump having one step gearbox and two step gearbox is developed by the lumped parameter method. The model accounts for shafts, ball bearings and journal bearings flexibilities, gyroscopic effects and the force couplings among the transverse and torsion motions due to gearing. Excitation forces of pump having one step gearbox and two step gearbox are considered as the mass unbalance of the rotors and gear transmission error which comes from the modified tooth surface. A Campbell diagram, in which the excitation sources caused by the mass unbalance of the rotors and the transmitted errors of the gearing are considered, shows that there are no critical speeds at the operating speeds. One step and two step gearboxes are manufactured and are estimated for vibration/noise, lubrication and performance.

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Effects of Stagger and Pretwist Angles on the Vibration of Flexible Shaft-Bladed Disk Systems (탄성 축-익 붙임 원판 계의 진동에 있어서 엇각 및 비틀림각의 영향)

  • 전상복;이종원
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1997.10a
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    • pp.101-109
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    • 1997
  • An analytical procedure on the base of the substructure synthesis and assumed modes method is developed to investigate the flexibility effect of bladed disk assembly on vibrational modes of flexible rotor system. In modeling the system, Coriolis forces, gyroscopic moments, and centrifugal stiffening effects are taken into account. The coupled vibrations between the shaft and bladed disk are then extensively investigated through the numerical simulation of simplified models, with varying the shaft rotational speed and the pretwist and stagger angles of the blade. It is found that the Coriolis and inertia forces and the inertia torque, which are induced by the one nodal diameter modes of the bladed disk and vary depending upon the stagger and pretwist angles, lead to the coupled motions of the shaft and the bladed disk.

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A Simulation for the Critical Speeds of a Geared Rotor System with Time Varying Mesh Stiffnesses and Bearing Flexibilities. (시 변화 물림 강성도와 베어링 유연도를 고려한 기어-로터의 위험 속도 시뮬레이션)

  • 최명진
    • Journal of the Korea Society for Simulation
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    • v.8 no.3
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    • pp.39-48
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    • 1999
  • A finite element model of geared rotor system with flexible bearings were used to simulate the critical speeds and to investigate the effects of bearing coefficients on the dynamic behaviors of the systems. The finite element model includes the effects of tooth mesh stiffness, gyroscopic moment, rotary inertia, shear, and torque of the shaft. The gear mesh was modelled as a pair of rigid disks connected by a spring of time varying stiffness. The time varying mesh stiffness results in the abrupt change of the critical speeds of spur geared systems. As the bearing stiffness increases, critical speeds increase rapidly in case of stiff shafts, compared with flexible shafts.

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