Transactions of the Japan Society of Mechanical Engineers Series C
Online ISSN : 1884-8354
Print ISSN : 0387-5024
A Precise and Stiffly Stable Time Integration Method for Vibration Equations
Takeshi FUJIKAWAEtsujiro IMANISHI
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2001 Volume 67 Issue 656 Pages 929-934

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Abstract

A precise and stiffly stable time integration method with numerical dissipation is presented for solving MCK type equations of motion. Its algorithm is assumed that acceleration during time step is expressed as a quadratic function. Stability and accuracy are investigated by numerical analysis to find out the best parameter values of the algorithm. Characteristics of this method are compared with other methods such as Newmark, Wilson, HHT-α method, etc, which showed that this method has much better accuracy for low frequency modes, and strong dissipation for high frequency modes. Some calculation examples are shown.

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