The discrete variational integrator algorithm for the 3D pendulum

机译：3D摆的离散变分积分算法

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The 3D pendulum is a rigid body that is fixed at a frictionless pivot with three rotational freedom, it is the simplified model of the GEO spacecraft. The structure inside the body can influence the accuracy and the stability of the calculation. Theoretically, the discrete variational integrator algorithm can conserve the structure of the system, it can obtain the calculate result that approximate the continuous algorithm.As a classical discrete variational integrator algorithm, whether the rattle algorithm can conserve the structure of the complex system have not been proving.According to compare the calculate result of the 3D pendulum and the 2D spherical pendulum based on the rattle algorithm, it can derive that the rattle algorithm is not a universally used algorithm，it can conserve the structure of the 2D spherical pendulum ,but can’t conserve the structure of the 3D pendulum and lead to the rapid dissipation of the energy.

机译：3D摆锤是固定在具有三个旋转自由度的无摩擦枢轴上的刚体，它是GEO航天器的简化模型。人体内部的结构会影响计算的准确性和稳定性。从理论上讲，离散变分积分算法可以节省系统的结构，可以获得近似于连续算法的计算结果。作为经典的离散变分积分算法，摇铃算法是否可以保持复杂系统的结构尚未得到人们的重视。通过比较基于摇铃算法的3D摆和2D球形摆的计算结果，可以得出，嘎嘎算法不是一种通用算法，可以保存2D球形摆的结构，但可以无法保存3D摆的结构并导致能量的快速耗散。

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来源
《The Sixth Asian conference on multibody dynamics》|2012年|1-6|共6页
会议地点 Shanghai(CN)
作者
Bai Long; Ge Xin-sheng;
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作者单位

Mechanical Electrical Engineering SchoolBeijing Information Science Technology UniversityBeijing,100192,China;

Mechanical Electrical Engineering School Beijing Information Science Technology University Beijing,100192,China;

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原文格式 PDF
正文语种 eng
中图分类动力学;
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The discrete variational integrator algorithm for the 3D pendulum

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