| 完整力学系统相对运动动力学方程的代数结构 |
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| 引用本文： | 张毅,梅凤翔. 完整力学系统相对运动动力学方程的代数结构[J]. 北京理工大学学报(英文版), 1998, 7(1): 12-18 |
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| 作者姓名： | 张毅 梅凤翔 |
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| 作者单位： | 北京理工大学应用力学系 |
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| 摘 要： | 目的研究完整力学系统相对运动动力学方程的代数结构．方法运动方程表为逆变代数形式并定义一个代数积．结果与结论当非势广义力不存在时，方程具有Ｌｉｅ代数结构；而当存在非势广义力时，方程具有Ｌｉｅ容许代数结构．
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| 关 键 词： | 分析力学；完整系统；相对运动；Lie代数；Lie容许代数 |
Algebraic Structure of the Dynamical Equations of Holonomic Mechanical System in Relative Motion |
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| Zhang Yi and Mei Fengxiang. Algebraic Structure of the Dynamical Equations of Holonomic Mechanical System in Relative Motion[J]. Journal of Beijing Institute of Technology, 1998, 7(1): 12-18 |
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| Authors: | Zhang Yi and Mei Fengxiang |
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| Affiliation: | Department of Applied Mechanics,Beijing Institute of Technology,Beijing 100081;Department of Applied Mechanics,Beijing Institute of Technology,Beijing 100081 |
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| Abstract: | Aim To study an algebraic of the dynamical equations of holonomic mechanical systems in relative motion. Methods The equations of motion were presented in a contravariant algebraic form and an algebraic product was determined. Results and Conclusion The equations a Lie algebraic structure if any nonpotential generalized force doesn't exist while while the equations possess a Lie-admissible algebraic structure if nonpotential generalized forces exist . |
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| Keywords: | analytical mechanics holonomic system relative motion Lie-admissible algebra |
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