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Form invariance and approximate conserved quantity of Appell equations for a weakly nonholonomic system 下载免费PDF全文
A weakly nonholonomic system is a nonholonomic system whose constraint equations contain a small parameter. The form invariance and the approximate conserved quantity of the Appell equations for a weakly nonholonomic system are studied. The Appell equations for the weakly nonholonomic system are established, and the definition and the criterion of form invariance of the system are given. The structural equation of form invariance for the weakly nonholonomic system and the approximate conserved quantity deduced from the form invariance of the system are obtained. Finally, an example is given to illustrate the application of the results. 相似文献
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研究非完整力学系统的形式不变性导致的非Noether守恒量——Hojman守恒量. 在时间不变的特殊无限小变换下,给出非完整系统形式不变性的确定方程、约束限制方程和附加限制方程,提出并定义弱(强)形式不变性的概念. 研究特殊形式不变性导致特殊Lie对称性的条件,由系统的特殊形式不变性,得到相应完整系统的Hojman守恒量以及非完整系统的弱Hojman守恒量和强Hojman守恒量. 给出两个经典例子说明结果的应用.
关键词:
分析力学
非完整系统
形式不变性
非Noether守恒量
Hojman守恒量 相似文献
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研究相空间中二阶线性非完整系统的形式不变性.给出相空间中二阶线性非完整系统形式不变性的定义和判据,得到形式不变性的结构方程和守恒量的形式,并举例说明结果的应用.
关键词:
相空间
二阶线性非完整系统
形式不变性
守恒量 相似文献
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A form invariance and a conserved quantity of the generalised Birkhoffian system are studied.First,a definition and a criterion of the form invariance are given.Secondly,through the form invariance,a new conserved quantity can be deduced.Finally,an example is given to illustrate the application of the result. 相似文献
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研究质量变化对力学系统形式不变性和守恒量的影响.给出常质量系统和变质量系形式不变性的判据方程.比较两个判据方程得到质量变化时形式不变性仍保持的条件.给出两个系统有同样守恒量的条件.举例说明结果的应用.
关键词:
分析力学
变质量系统
形式不变性
守恒量 相似文献
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The form invariance of Appell equations of holonomic mechanical systems under the infinitesimal transformations of groups is studied. The definition and the criterion of the form invariance of Appell equations are given. This form invariance can lead to a conserved quantity under certain conditions. 相似文献