潤滑方程式と運動方程式の交互逐次解法を用いた有限要素法による浮動ヘッドスライダの過渡応答解析

概要

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A novel finite element method for solving the time dependent lubrication problem using spatial elements and time elements has been formulated, and an alternatively iterative solution method of the lubrication equation and the dynamic equation has been derived. The alternatively iterative method was permitted by incorporating the mathematical iterative step for solving nonlinear lubrication equation regarding the spatial axis into the time step for solving it with respect ot the time axis. This method was applied to solving transient response of a flying head slider for magnetic disk storage use. From waveform of the transient response, the natural frequency and the damping ratio were identified by means of the regression analysis. The calculation results were compared with those resulting from the current two methods; the alternating direction implicit (ADI) method and the perturbation method. From the comparisons, the natural frequencies and the damping ratios were found to be in good accordance except for the damping for a higher order mode. It is interesting to note that a peculiar numerical phenomenon appears both in the present and ADI methods wherein the natural frequency remains almost constant with a varying time increment while the damping ratio varies showing a tendency of saturation with a further shortening time increment.
社団法人日本機械学会の論文
2001-11-25