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应用Lagrange方程研究刚弹耦合动力学

DOI: 10.3969/j.issn.1006-7043.201401064

Keywords: Lagrange方程, 变导, 弹性动力学, 刚弹耦合动力学

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Abstract:

如何将Lagrange方程应用于连续介质力学,一直是学术界关注的理论课题.Lagrange方程建立和应用都涉及变分学,从变分学的基本理论研究做起,是研究这类问题的一条可行的途径.应用变导的概念和运算法则,研究了Lagrange方程中的求导的性质,进而成功地将Lagrange方程应用于弹性动力学.根据功能原理和能量守恒定律,给出刚弹耦合动力学的动能和势能,应用Lagrange方程,建立了刚弹耦合动力学的控制方程.这类研究在航天、航空、航海和机器人动力学中,都有重要应用.

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