• Title/Summary/Keyword: Angular Stiffness

Search Result 89, Processing Time 0.023 seconds

Design Tolerance of High Speed Spindle considering the Variation of Ball Contact Angle in the Angular Contact Ball Bearings (고속 주축베어링의 볼 접촉각 변동을 고려한 주축 설계공차)

  • Lee, Chan-Hong
    • Journal of the Korean Society of Manufacturing Technology Engineers
    • /
    • v.19 no.5
    • /
    • pp.609-615
    • /
    • 2010
  • Angular contact ball bearings in a high speed spindles are under the extreme conditions, such as high temperature, big centrifugal force and thrust cutting forces. So, the assembly contacts between spindle shaft and inner ring bearings, bearing housing and outer ring of bearings are occasionally unstable at high speed revolution. Furthermore, the ball contact angle of a bearing, which influence stiffness and lifetime of bearings, are changed according to loads and rotational speed. To analyze internal forces of a bearing under high speed revolution, the ball contact are calculated using nonlinear equations in consideration of rotational speed, thrust loads and raceway form. Diameter increase of inner and outer ring by influence factors, such as internal forces to inner and outer ring, centrifugal force and temperature of inner and outer rings are calculated to establish stable state in bearing assembly in high speed spindle. Finally, contribution ratio of influence factor to assembly design tolerance of inner and outer rings are shown and the stable assembly design tolerance are proposed.

Effects of Bearing Arrangement on the Dynamic Characteristics of High-speed Spindle (베어링 배열방식이 고속 스핀들의 동특성에 미치는 영향)

  • Hong, Seong-Wook;Choi, Chun-Seok;Lee, Chan-Hong
    • Journal of the Korean Society for Precision Engineering
    • /
    • v.30 no.8
    • /
    • pp.854-863
    • /
    • 2013
  • High-speed spindle systems typically employ angular contact ball bearings, which can resist both axial and radial loading, and exhibit high precision and durability. We investigated the effects of the arrangement of the angular contact ball bearings on the dynamics of high-speed spindle systems. The spindle dynamics were studied with a number of spindle-bearing models, and the location of the bearings was varied, along with the rotational speed and the preload. A finite element spindle model and a bearing model were used, and simulated data showed that the bearing arrangement significantly affected the spindle dynamics. Furthermore, the main effects were due to the cross coupling terms between the transverse and rotational motions of the ball bearings. The coupling stiffness terms were found to influence the spindle dynamics, depending on the mode shapes. An extensive discussion is provided on the effects of the bearing arrangement on the dynamics of the spindle.

Shear strength response of clay and sand column with different sand grain shapes

  • Zuheir Karabash;Ali Firat Cabalar
    • Geomechanics and Engineering
    • /
    • v.35 no.2
    • /
    • pp.135-147
    • /
    • 2023
  • Sand columns in clayey soil are considered one of the most economical and environmentally-friendly soil-improving techniques. It improves the shear strength parameters, reduces the settlement, and increases the bearing capacity of clayey soils. The aim of this paper is to study the effect of grain shape in sand columns on their performance in improving the mechanical properties of clayey soils. An intensive series of consolidated-drained triaxial tests were performed on clay specimens only and clay specimens with sand columns. The parameters examined during the experimental work were grain shape in sand columns (angular, rounded, sub-rounded) and effective confining pressure (50 kPa, 100 kPa, 200 kPa). The results indicated that there is a significant improvement in the deviatoric stress and stiffness values of specimens with sand columns. Improving deviatoric stress values in the use of angular sand grains was found to be higher than those in the use of sub-rounded and rounded sand grains. A 187%, 159%, and 153% increment in deviatoric stress values were observed for the sand columns with angular, sub-rounded, and rounded grain shapes, respectively. The specimens were observed to be more contractive as the sand column was installed, and as the angularity of grains in the sand column was increased. Sand column installation improves significantly the angle of internal friction, and the effective angle of internal friction increases as the angularity of the sand grains increases.

Force-To-Rebalance Mode of a Resonator Gyro and Angular Rate Measurement Tests (공진 자이로의 재평형 모드 구현과 각속도 측정 실험)

  • Jin, Jaehyun;Kim, Dongguk
    • Journal of Institute of Control, Robotics and Systems
    • /
    • v.20 no.5
    • /
    • pp.563-569
    • /
    • 2014
  • This article focuses on a hemispherical resonator gyro driven by the Coriolis effect. A hemispherical shell, called a resonator, is maintained in the resonance state by amplitude control and phase locking control. Parametric excitation has been used to control the amplitude. For rate measurement mode or FTR mode, nodal points have been kept to an amplitude of zero. Angular rate measurement has been demonstrated by rotating a resonator. Frequency mismatch between two stiffness principal axes is a major cause of low performance: vibrating pattern drift and reduced control effectiveness. This mismatch has been reduced significantly by the addition of small mass. A negative spring effect, which lowers resonance frequencies, has been verified experimentally.

축방향 하중을 받는 앵귤러 콘택트 볼베오링의 수명특성에 관한 실험적 연구

  • Hwang, Pyung;Kwon, Sung-In
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
    • /
    • 1996.05a
    • /
    • pp.53-59
    • /
    • 1996
  • The new trends in main spindle design of Machining Center are focused on high-speed, high-precision and high-stiffness. As a main spindle bearing, the angular-contact ball bearing is well used. A rolling bearing is usually only a small part of a larger mechanical system, but its performance can have a great influence on the functioning of the whole machine. This work is about fatigue life tester design and monitoring of defected rolling-element bearings. The major work is done via experiments and the vibration signal is analysised by means of frequency spectrum technique. By analyzing the frequency spectrum, it is possible to view the condition of the bearings.

  • PDF

Vibration Analysis of a Rotating Cantilever Beam Having Tapered Cross Section (테이퍼진 단면을 가진 회전 외팔보의 진동해석)

  • Yoo, Hong-Hee;Lee, Jun-Hee
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
    • /
    • 2008.11a
    • /
    • pp.348-353
    • /
    • 2008
  • A vibration analysis for a rotating cantilever beam with the tapered cross section is presented in this study. The stiffness changes due to the stretching caused by centrifugal inertia forces when a tapered cantilever beam rotates about the axis perpendicular to its longitudinal axis. When the cross section of cantilever beam are assumed to decrease constantly, the mass and stiffness also change according to the variation of the thickness and width ratio of a tapered cantilever beam. Such phenomena result in variations of natural frequencies and mode shapes. Therefore it is important to the equations of motion in order to be obtained accurate predictions of these variations. The equations of motion of a rotating tapered cantilever beam are derived by using hybrid deformation variable modeling method and numerical results are obtained along with the angular velocity and the thickness and width ratio.

  • PDF

Vibration Analysis of a Rotating Cantilever Beam Having Tapered Cross Section (테이퍼진 단면을 가진 회전 외팔보의 진동해석)

  • Lee, Jun-Hee;Yoo, Hong-Hee
    • Transactions of the Korean Society for Noise and Vibration Engineering
    • /
    • v.19 no.4
    • /
    • pp.363-369
    • /
    • 2009
  • A vibration analysis for a rotating cantilever beam with the tapered cross section is presented in this study. The stiffness changes due to the stretching caused by centrifugal inertia forces when a tapered cantilever beam rotates about the axis perpendicular to its longitudinal axis. When the cross section of cantilever beam are assumed to decrease constantly, the mass and stiffness also change according to the variation of the thickness and width ratio of a tapered cantilever beam. Such phenomena result in variations of natural frequencies and mode shapes. Therefore it is important to the equations of motion in order to be obtained accurate predictions of these variations. The equations of motion of a rotating tapered cantilever beam are derived by using hybrid deformation variable modeling method and numerical results are obtained along with the angular velocity and the thickness and width ratio.

Pushover Tests of 1:5 Scale 3-Story Reinforced Concrete Frames

  • Lee, Han-Seon;Woo, Sung-Woo;Heo, Yun-Sup;Seon, Jin-Gyu
    • KCI Concrete Journal
    • /
    • v.11 no.3
    • /
    • pp.165-174
    • /
    • 1999
  • The objective of the research stated herein is to observe the elastic and inelastic behaviors and ultimate capacity of 1:5 scale 3-story reinforced concrete frame. Pushover tests were performed to 1:5 scale 3-story reinforced concrete frames with and without infilled masonry. To simulate the earthquake effect, the lateral force distribution was maintained by an inverted triang1e by using the whiffle tree. From the test results, the relation ships between the total lateral load and the roof drift, the distribution of column shears, the relation between story shear and story drift, and the angular rotations at the critical portions of structures were obtained. The effects of infilled masonry were investigated with regards to the stiffness, strength, and ductility of structures. Final collapse modes of structures with and without infilled masonry were compared.

  • PDF

Analysis of Particle Collision on a Rotating Cantilever Beam Having a Concentrated Mass (집중 질량을 가진 회전하는 외팔 보의 질점 충돌 해석)

  • Lim, Hong-Seok;Yoo, Hong-Hee
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
    • /
    • 2005.11a
    • /
    • pp.714-714
    • /
    • 2005
  • This paper presents the modeling and impact analysis for a rotating cantilever beam having a concentrated mass. The concentrated mass takes an impact force during the rotating motion and the transient response of the beam induced by the impact is calculated by applying the Rayleigh-Ritz assumed mode method. The stiffness variation effect caused by the rotating motion is considered in this modeling. The effects of the concentrated mass size, impact position and the angular velocity of the beam on the transient responses are investigated through numerical studies.

  • PDF

Rotordynamic Analysis of Balance Shafts (밸런스샤프트의 회전체역학 해석)

  • Nho, Jong-Won;Shin, Bum-Sik;Park, Heung-Joon;Choi, Yeon-Sun
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
    • /
    • 2006.11a
    • /
    • pp.531-536
    • /
    • 2006
  • In four cylinder engine, the second order inertia force occurs due to the reciprocating parts of the cylinder. Because the magnitude of the inertia force is proportional to a square of the angular velocity of crank shaft, engine gets suffered from vibration excited by unbalanced inertia force in high speed. This vibration excited by the unbalanced inertia force can be canceled by applying a balance shaft. Balance shaft has one or more unbalance mass and rotates twice quickly than the crank shaft. In this paper, an unbalanced force caused by the rotating of unbalance mass of balance shafts was calculated. The directional equivalent stiffness and damping coefficients of the journal bearing of balance shafts was calculated. Equations of rotational vibration modes were derived using directional stiffness and damping coefficients. The dynamic stability of balance shafts was analyzed and evaluated for two type models using the equivalent stiffness and damping coefficients. An efficient procedure to he able to evaluate dynamic stability and design optimal balance shaft was proposed.

  • PDF