| 王琪,黄克累.带约束多体系统动力学方程的隐式算法[J].计算力学学报,1999,16(4):410~415 |
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| 带约束多体系统动力学方程的隐式算法 |
| Implicit numerical algorithm for multibody dynamics with constraint equations |
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| DOI：10.7511/jslx19994069 |
| 中文关键词: 多体系统 正则方程 隐式算法 Jacobi矩阵 |
| 英文关键词:multibody system,canonical equation,implicit algorithm. |
| 基金项目:国家自然科学基金，航空基金，教育部博士点基金 |
| 王琪 黄克累 |
| 北京航天大学理学院!北京100083 |
| 摘要点击次数: 1671 |
| 全文下载次数: 1 |
| 中文摘要: |
| 研究了带约束多体系统隐式算法，用子矩阵的形式推导出了多体系统正则方程的Ｊａｃｏｂｉ矩阵，它适用于多种隐式算法并给出了隐式Ｒｕｎｇｅ－Ｋｕｔｔａ算法，最后用一算例表明了隐式算法的计算效率和精度明显优于算法。 |
| 英文摘要: |
| The implicit numerical algorithm for dynamics of multibody systems with constraint equations of motion was studied. The canonical equations for dynamics of multibody systems were used in the numerical algorithm. The Jacobian matrix used in implicit methods was obtained in the submatrix forms, that was very good in computational efficiency and suitable for many implicit numerical methods. The paper presented the diagonal implicit Runge Kutta method for multibody dynamics. The numerical results show that the computational efficiency and precision of implicit algorithms are better than that of explicit algorithms. |
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