求解微分-代数方程的双循环隐式积分方法

来源 :第九届全国多体系统动力学暨第四届全国航天动力学与控制学术会议 | 被引量 : 0次 | 上传用户：huan3036646

【摘要】

：

本文构造了一类用于求解指标-3的微分-代数方程的状态空间法.利用对约束方程雅可比矩阵的LU分解将出现在微分-代数方程中的系统坐标分为独立坐标与非独立坐标.对于独立坐标,

【作者】

：

张乐章定国

【机构】

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南京理工大学理学院,江苏省南京市210094

【出处】

：

第九届全国多体系统动力学暨第四届全国航天动力学与控制学术会议

【发表日期】

：

2015年10期

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本文构造了一类用于求解指标-3的微分-代数方程的状态空间法.利用对约束方程雅可比矩阵的LU分解将出现在微分-代数方程中的系统坐标分为独立坐标与非独立坐标.对于独立坐标,利用用于求解常微分方程的一阶隐式积分方法进行积分求解.对于非独立坐标,非独立速度和位置由对速度约束方程及位置约束方程的求解得到.

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求解微分-代数方程的双循环隐式积分方法

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