Modified Newmark method for head-disk interface dynamics

Gang Sheng

doi:10.1016/S0045-7949(97)00090-4

Modified Newmark method for head-disk interface dynamics

1998-01-01

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DOI：10.1016/S0045-7949(97)00090-4

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The head-disk assembly in a disk drive has been modeled as a multi-degree-of-freedom system. To simulate the dynamics of the head-disk assembly, the Newmark method with delta > 1/2, alpha > 1/4 is usually applied. This method may introduce some algorithmic dissipation which is desired for eliminating high-frequency oscillation. However, this feature is acquired at the cost of accuracy. In this paper, a modified Newmark method is presented. The method is based on the standard Newmark method with delta = 1/2, alpha = 1/4 and the extrapolation technique. It is achieved by expressing the numerical amplification matrix of the higher-order algorithm as a linear combination of the basic amplification matrices evaluated at selected instances of time. The matrices are combined with different weighting factors. The pairs of the selected instance of time and the corresponding weighting factors are free parameters. Unconditionally stable, higher-order accurate and dissipative algorithms can be derived by properly choosing the free parameters. Algorithms of up to fourth-order accuracy are presented in this paper. Detailed analyses on stability, numerical dissipation and numerical dispersion are also given. Comparisons of the modified method and some conventional methods, such as the Newmark method, the Wilson method and the HHT method, are presented to demonstrate its versatility; in particular, its dissipative features and accuracy. The proposed method is not only suitable for simulating head-disk assembly dynamics, but is also applicable to the analysis of a wide spectrum of the dynamics of structural and mechanical systems. (C) 1997 Elsevier Science Ltd.

Keyword:

direct integration of structural dynamics response

hard disk drive dynamics

high-order accurate method

time integration of dynamic problems

Modified Newmark method for head-disk interface dynamics

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