| 单面约束Birkhoff系统的守恒律 |
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| 引用本文： | 张毅.单面约束Birkhoff系统的守恒律[J].苏州科技学院学报(工程技术版),2003,16(2):49-55. |
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| 作者姓名： | 张毅 |
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| 作者单位： | 苏州科技学院土木工程系,江苏,苏州,215011 |
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| 基金项目： | 江苏省高校自然科学基金(HB2001-28);江苏省青蓝工程基金资助项目(HB2001-27) |
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| 摘 要： | 利用积分因子方法研究单面约束Birkhoff系统的守恒律。定义了单面约束Birkhoff系统运动微分方程的积分因子的概念；研究了系统存在守垣律的必要条件，建立了系统的积分因子与守桓律之间的关系，并给出了用于确定积分因子的广义Killing方程；研究了逆问题。文末举倒说明结果的应用。
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| 关 键 词： | 单面约束Birkhoff系统 守恒律 积分因子方法 运动微分方程 广义Killing方程 分析力学 |
| 文章编号： | 1672-0679(2003)02-0049-07 |
| 修稿时间： | 2003年3月3日 |
Conservation Laws for Birkhoffian Systems with Unilateral Constraints |
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| ZHANG Yi.Conservation Laws for Birkhoffian Systems with Unilateral Constraints[J].Journal of University of Science and Technology of Suzhou：Engineering and Technology,2003,16(2):49-55. |
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| Authors: | ZHANG Yi |
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| Abstract: | This paper studies the construction of conservation laws for the Birkhoffian systems with unilateral constraints by using the approach of integrating factors.Firstly,the definition of integrat-ing factors for the differential equations of motion of the systems is presented.Secondly,the neces-sary conditions for the existence of conserved quantities of the systems are studied in detail,and the relation between the conservation laws and the corresponding integrated factors is established,and the generalized Killing equations by which the integrating factors can be determined are pro-vided.Finally,the inverse problem is studied with an example given to illustrate the application of the results. |
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| Keywords: | unilateral constraint Birkhoffian system integrating factor conservation theorem Killing equation |
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