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力学学报  2005 

Direct treatment and discretizations of non-linear dynamics of suspended cable
悬索非线性动力学中的直接法与离散法

Keywords: direct treatment,discretizations,cables,nonlinear response,the method of multiple scales
非线性动力学
,离散法,直接法,悬索,非线性响应,非对称结构,响应曲线,主共振,近似解,求解,模态

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Abstract:

The applications of direct treatment and discretizations of non-linear dynamics are investigated in this paper. These two approaches are applied to attack the primary resonance of the nth mode of suspended cables. These lead to obtain the second order approximate solutions and the associated frequency-response curves. The results obtained with these two approaches are compared. And the differences of these results are discussed. Finally, the results are obtained that the discretization of nonlinear dynamic of non-symmetric structure may lead to erroneous results.

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