| 采用辛算法提高多体系统动力学的计算精度 |
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| 引用本文： | 刘又午,吴洪涛.采用辛算法提高多体系统动力学的计算精度[J].天津大学学报(自然科学与工程技术版),1994,27(6):722-723. |
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| 作者姓名： | 刘又午 吴洪涛 |
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| 基金项目： | 国家教委博士点专项基金 |
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| 摘 要： | 阐述多体系统动力学的几何意义，分析现有算法的误差累积现象，揭示了“能量耗散”的原因；证了多体系统动力学系数之间的恒等关系，建立了多体系统（非完整情况）动力学的正则方程，正则方程与辛格式积分密切结构，消除动力学的误差累积，保证了计算精度。
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| 关 键 词： | 多体系统动力学 辛几何 能量耗散 |
INCREASE IN COMPUTATIONAL ACCURACY OF MULTIBODY SYSTEM DYNAMICS VIA SYMPLECTIC ALGORITHM |
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| Liu Youwu, Wu Hongtao,Yun Ckao,Wang Skuxin,Zhang Dajun.INCREASE IN COMPUTATIONAL ACCURACY OF MULTIBODY SYSTEM DYNAMICS VIA SYMPLECTIC ALGORITHM[J].Journal of Tianjin University(Science and Technology),1994,27(6):722-723. |
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| Authors: | Liu Youwu Wu Hongtao Yun Ckao Wang Skuxin Zhang Dajun |
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| Institution: | Dept.of Mechanical Engineering |
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| Abstract: | In this paper the geometric meaning of dynamics of multibody system is expounded, the error accumalation for the known algorithm is analyzed and the cause of "Energy consumption" is revealed. The relationship between coefficients of dynamic equation is derived so as to establish the canonical equations. The error accumulation of dynamics can be eliminated by using canonical equation and symplectic integral method so that the computational accaracy can be ensured effectively. |
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| Keywords: | multibody system configuration space symplectic geometry energy consumption |
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