|
物理学报 2007
Stability of relativistic rotational nonlinear dynamic equation and solution for a kind of nonlinear elastic coefficients
|
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.