广义非保守系统的新型最小作用量原理
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国家自然科学基金资功项目(10272034)


Principles of new form least action of generalized nonconservative systems
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    摘要:

    分别建立了广义非保守系统的Hamilton-Tabarrok-Leech正则方程和Raitzin-Tabarrok-Leech正则方程.给出了广义非保守系统的三种新型最小作用量原理: Lagrange-Tabarrok-Leech最小作用量原理, Raitzin-Tabarrok-Leech最小作用量原理和 Lagrange-Raitzin-Tabarrok-Leech最小作用量原理, 并举例说明这些原理的应用.

    Abstract:

    The canonical equations of Hamilton-Tabarrok-Leech and Raitzin-Tabarrok-Leech for generalized nonconservative systems were established respectively. Three kinds of the principles of new form least action for generalized nonconservative systems were given, namely, the principles of new form least action of Lagrange-Tabarrok-Leech, the principles of new form least action of Raitzin-Tabarrok-Leech and the principles of new form least action of Lagrange-Raitzin-Tabarrok-Leech. And two examples were given to illustrate the application of the results.

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赵淑红,梁立孚,乔水芬.广义非保守系统的新型最小作用量原理[J].动力学与控制学报,2007,5(1):8~12; Zhao Shuhong, Liang Lifu, Qiao Yongfen. Principles of new form least action of generalized nonconservative systems[J]. Journal of Dynamics and Control,2007,5(1):8-12.

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  • 收稿日期:2006-06-30
  • 最后修改日期:2006-09-17
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