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物理学报  2007 

Stability of relativistic rotational nonlinear dynamic equation and solution for a kind of nonlinear elastic coefficients
相对转动非线性动力学方程的稳定性及在一类非线性弹性系数下的解

Keywords: relative rotation,nonlinear dynamics equation,nonlinear elastic coefficient,steadiness
相对转动
,非线性动力学方程,非线性弹性系数,稳定性

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Abstract:

The nonlinear dynamic equation with two end faces in relativistic rotation is established, which contains a kind of nonlinear elastic force. The qualitative analysis of the relativistic rotational nonlinear autonomous equation is performed, and the stability of the equation is studied. The high-order approximate solution of the equation under forcing excitation is obtained by parameter transformation method.

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