• Title/Summary/Keyword: transverse vibration method

Search Result 264, Processing Time 0.026 seconds

Effect of the Tolerance Parameters of the Horn on the Vibration of the Thermosonic Transverse Bonding Flip Chip System (횡 방향 플립 칩 초음파 접합 시 혼의 공차변수가 시스템의 진동에 미치는 영향)

  • Jung, Ha-Kyu;Kwon, Won-Tae;Yoon, Byung-Ok
    • Transactions of the Korean Society of Machine Tool Engineers
    • /
    • v.18 no.1
    • /
    • pp.116-121
    • /
    • 2009
  • Thermosonic flip chip bonding is an important technology for the electronic packaging due to its simplicity, cost effectiveness and clean and dry process. Mechanical properties of the horn and the shank, such as the natural frequency and the amplitude, have a great effect on the bonding capability of the transverse flip chip bonding system. In this research, two kinds of study are performed. The first is the new design of the clamp and the second is the effect of tolerance parameters to the performance of the system. The clamp with a bent shape is newly designed to hold the nodal point of the flip chip. The second is the effect of the design parameters on the vibration amplitude and planarity at the end of the shank. The variation of the tolerance parameters changes the amplitude and the frequency of the vibration of the shank. They, in turn, have an effect on the quantity of the plastic deformation of the gold ball bump, which determined the quality of the flip chip bonding. The tolerance parameters that give the great effect on the amplitude of the shank are determined using Taguchi's method. Error of set-up angle, the length and diameter of horn and error of the length of the shank are determined to be the parameters that have peat effect on the amplitude of the system.

Dynamic Response and Vibration Characteristics of an Isolation Rail Track under a Traveling Mass (주행질량하의 방진 궤도레일의 동적응답 및 진동특성)

  • Oh, B.J.;Ryu, B.J.;Kim, J.H.;Lee, Y.S.
    • Transactions of the Korean Society for Noise and Vibration Engineering
    • /
    • v.21 no.4
    • /
    • pp.365-373
    • /
    • 2011
  • This paper presents the dynamic response and the vibration characteristics for a rail-track supported by discrete springs and dampers. Recently, automatic conveyer system, rail-track, rack-master system demand the soundproof facilities and vibration suppression measures in order to satisfy the strict environmental standards. The equations of motions of the dynamic characteristics for a vibration suppression rail-track under a traveling mass were derived by Galerkin's mode summation method considering gravity, centrifugal force, Coriolis force, inertia force of the moving mass, transverse inertia of the rail-track. Also, numerical results were calculated by Runge-Kutta integration method. In order to investigate vibration characteristics and dynamic responses, modal testing and measurement of the responses of the rail-track were performed. Through the experiment and numerical simulations, numerical results have a good agreement with experimental ones.

Two-dimensional rod theory for approximate analysis of building structures

  • Takabatake, Hideo
    • Earthquakes and Structures
    • /
    • v.1 no.1
    • /
    • pp.1-19
    • /
    • 2010
  • It has been known that one-dimensional rod theory is very effective as a simplified analytical approach to large scale or complicated structures such as high-rise buildings, in preliminary design stages. It replaces an original structure by a one-dimensional rod which has an equivalent stiffness in terms of global properties. If the structure is composed of distinct constituents of different stiffness such as coupled walls with opening, structural behavior is significantly governed by the local variation of stiffness. This paper proposes an extended version of the rod theory which accounts for the two-dimensional local variation of structural stiffness; viz, variation in the transverse direction as well as longitudinal stiffness distribution. The governing equation for the two-dimensional rod theory is formulated from Hamilton's principle by making use of a displacement function which satisfies continuity conditions across the boundary between the distinct structural components in the transverse direction. Validity of the proposed theory is confirmed by comparison with numerical results of computational tools in the cases of static, free vibration and forced vibration problems for various structures.

Dynamic Characteristics of Rotating Composite Cantilever Beam with a Breathing Crack (Breathing Crack이 있는 회전하는 복합재료 보의 동적 특성에 관한 연구)

  • Kim, Sung-Soo;Kim, Ji-Hwan
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
    • /
    • 2000.11a
    • /
    • pp.527-533
    • /
    • 2000
  • It is investigated that the characteristics of rotating cantilevered composite beam with a breathing crack. In the present study, the crack is modeled as a breathing crack which opens and closes with the motion of the unidirectional graphite-fiber reinforced polyimide beam. For the finite element analysis, the cracked element is modelled by the local flexibility matrix calculated on the basis of fracture mechanics using Castiligano theorem. Rotating beam is considered only transverse bending motion so that the element includes two degrees of freedom per node such as the transverse deflection and slope. The time history and frequency response function of the beam with a breathing crack are studied by Newmark direct time integration method and FFT(Fast Fourier Transform)simulation. Effects of various parameters such as the crack depths, crack locations, ply angles, volume fraction ratios, and rotating speeds of the beam are also studied. Numerical results indicate that it is more reliable to be modelled as a breathing crack than an open crack.

  • PDF

Analysis of the Magnetic Force and Torque of a Rotatory Two-phase Transverse Flux Machine (회전형 이상 횡자속형 전동기에서 발생하는 자기력 및 토크 해석)

  • Park, Nam-Ki;Chang, Jung-Hwan;Jang, Gun-Hee
    • Transactions of the Korean Society for Noise and Vibration Engineering
    • /
    • v.17 no.1 s.118
    • /
    • pp.33-40
    • /
    • 2007
  • Rotatory two-phase transverse flux machine(TFM) is a relatively new type of motor with high power density, high torque, and low speed in comparison to conventional electrical motors. However, it has some shortcomings,.i.e. complex construction and high possibility of the magnetically induced nitration due to its inherent structure. This Paper investigates the characteristics of the magnetic force and the torque in the rotatory two-phase TFM by using the 3-D finite element method and the spectral analysis. This research shows that the average torque decreases and that the torque ripple increases as the phase delay increases. It also shows that the unbalanced magnetic force is one of the dominant excitation forces in this machine. And it proposes a new topology of rotatory two-phase TFM to eliminate the unbalanced magnetic force.

A simplified analysis of super building structures with setback

  • Takabatake, Hideo;Ikarashi, Fumiya;Matsuoka, Motohiro
    • Earthquakes and Structures
    • /
    • v.2 no.1
    • /
    • pp.43-64
    • /
    • 2011
  • One-dimensional rod theory is very effective as a simplified analytical approach to large scale or complicated structures such as high-rise buildings, in preliminary design stages. It replaces an original structure by a one-dimensional rod which has an equivalent stiffness in terms of global properties. The mechanical behavior of structures composed of distinct constituents of different stiffness such as coupled walls with opening is significantly governed by the local variation of stiffness. Furthermore, in structures with setback the distribution of the longitudinal stress behaves remarkable nonlinear behavior in the transverse-wise. So, the author proposed the two-dimensional rod theory as an extended version of the rod theory which accounts for the two-dimensional local variation of structural stiffness; viz, variation in the transverse direction as well as longitudinal stiffness distribution. This paper proposes how to deal with the two-dimensional rod theory for structures with setback. Validity of the proposed theory is confirmed by comparison with numerical results of computational tools in the cases of static, free vibration and forced vibration problems for various structures. The transverse-wise nonlinear distribution of the longitudinal stress due to the existence of setback is clarified to originate from the long distance from setback.

Free vibration analysis of moderately thick rectangular laminated composite plates with arbitrary boundary conditions

  • Naserian-Nik, A.M.;Tahani, M.
    • Structural Engineering and Mechanics
    • /
    • v.35 no.2
    • /
    • pp.217-240
    • /
    • 2010
  • A semi-analytical method is presented for accurately prediction of the free vibration behavior of generally laminated composite plates with arbitrary boundary conditions. The method employs the technique of separation of spatial variables within Hamilton's principle to obtain the equations of motion, including two systems of coupled ordinary homogeneous differential equations. Subsequently, by applying the laminate constitutive relations into the resulting equations two sets of coupled ordinary differential equations with constant coefficients, in terms of displacements, are achieved. The obtained differential equations are solved for the natural frequencies and corresponding mode shapes, with the use of the exact state-space approach. The formulation is exploited in the framework of the first-order shear deformation theory to incorporate the effects of transverse shear deformation and rotary inertia. The efficiency and accuracy of the present method are demonstrated by obtaining solutions to a wide range of problems and comparing them with finite element analysis and previously published results.

Spectral Element Vibration Analysis of the Pipeline Conveying Internal Flow (내부유동을 갖는 파이프 진동의 스펙트럴요소해석)

  • Oh, Hyuck-Jin;Kang, Kwan-Ho;Lee, U-Sik
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.27 no.2
    • /
    • pp.294-301
    • /
    • 2003
  • It is of often important to accurately predict the flow-induced vibration or dynamic instability of a pipeline conveying internal high speed flow in advance, which requires a very accurate solution method. In this study, first the dynamic equations for the axial and transverse vibrations of a pipeline are reduced from a set of pipe-dynamic equations derived in the previous study and then the spectral element model is formulated. The accuracy of the spectral element method (SEM) is then verified by comparing its results with the results obtained by finite element method (FEM). It is shown that the present spectral element model provides very accurate solutions by using an extremely small number of degrees-of-freedom when compared with FEM. The dynamics of a sample pipeline is investigated with varying the axial tension and the speed of internal flow.

Vibration Stability Analysis of Multi wall Carbon Nanotubes Considering Conveying Fluid Effect (유체유동효과를 고려한 다중벽 탄소나노튜브의 진동 및 안정성 해석)

  • Yun, Kyung-Jae;Choi, Jong-Woon;Song, Oh-Seop
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
    • /
    • 2012.04a
    • /
    • pp.219-224
    • /
    • 2012
  • In this paper, vibration and flow-induced flutter instability analysis of cantilever multiwall carbon nanotubes conveying fluid and modelled as a thin-walled beam is investigated. Non-classical effects of transverse shear and rotary inertia are incorporated in this study. The governing equations and the associated boundary conditions are derived through Hamilton's principle. Numerical analysis is performed by using extend Galerkin method which enables us to obtain more exact solutions compared with conventional Galerkin method. Cantilevered carbon nanotubes are damped with decaying amplitude for flow velocity below a certain critical value, however, beyond this critical flow velocity, flutter instability may occur. Variations of critical flow velocity with both radius ratio and length of carbon nanotubes are investigated and pertinent conclusion is outlined.

  • PDF

Free Vibration Responses of Composite Plates Subjected to Transverse Magnetic and Thermal Fields (자기장 및 열하중을 받는 복합재료 판의 자유진동응답)

  • Kim, Sung-Kyun;Choi, Jong-Woon;Kim, Young-June;Park, Sang-Yun;Song, Oh-Seop
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
    • /
    • 2011.10a
    • /
    • pp.136-142
    • /
    • 2011
  • The equations of motion for composite plates incorporating magneto-thermo-elastic effects have been derived via Hamilton's principle. In order to get the insight into the implications of a number of geometrical and physical features of the system, the vibrational responses of finite composite rectangular plates immersed in a transversal magnetic field are investigated by applying the extended Galerkin method. The vibration response characteristics of a composite plate are exploited in connection with the magnetic field intensity, thermal load, and electric conductivity of fibrous composite materials. Some pertinent conclusions, which highlight the various effects induced by the magneto-thermo-elastic couplings, are outlined.

  • PDF