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中国物理学会期刊

质量变化对力学系统形式不变性和守恒量的影响

CSTR: 32037.14.aps.54.2478

Effects of mass variation on form invariance and conserved quantity of mechanical systems

CSTR: 32037.14.aps.54.2478
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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.

     

    The effects of mass variation on form invariance and conserved quantity of mechanical systems are studied. The criterion of the form invariance for constant mass and variable mass systems is given.By comparing the two criterion equations, the condition under which the form invariance is kept is obtained. The condition under which two systems possess the same conserved quantity is also given. An e xample is given to illustrate the application of the result.

     

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