Conservative motion of discrete, tetrahedral tops and gyroscopes

被引：0
|
作者：
Greenspan, D [1 ]
机构：
[1] Univ Texas, Dept Math, Arlington, TX 76019 USA
来源：
APPLIED MATHEMATICAL MODELLING | 1998年 / 22卷 / 1-2期
关键词：
tops; gyroscopes; lumped mass; conservative simulation;
D O I：
10.1016/S0307-904X(98)00008-0
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Tetrahedral tops and gyroscopes are simulated as discrete, rigid bodies in rotation by introducing a molecular mechanics formulation. The model uses the popular engineering lumped mass technique, so that molecules are aggregated into particles at the vertices. The conservative, dynamical differential equations are solved numerically in such a fashion that all the system invariants are preserved. Examples which include precession and nutation are described and discussed. (C) 1998 Elsevier Science Inc. All rights reserved.
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页码：57 / 68
页数：12
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