论文信息 - Critical study of Newmark-scheme on manifold of finite rotations

Critical study of Newmark-scheme on manifold of finite rotations

In this paper, we show that the usual material form of the Newmark-time-stepping scheme of finite rotations is only a simplified version of the correct formula. This is because spin material rotation vectors, angular velocity vectors and angular accelerations vectors belong to different tangential vector spaces of a manifold at separate time moments. We give corrected Newmark-time-stepping schemes for material description and for spatial description.

Jari Mäkinen | J. Mäkinen

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