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MULTI-FREQUENCY ASYMPTOTICAL METHOD IN NOLINEAR MULTI-DEGREE-OF-FREEDOM OSCILLATION SYSTEMS
Author(s): 
Pages: 43-60
Year: Issue:  1
Journal: Transactions of Beijing Institute of Technology

Keyword:  非线性振动系统渐近方法多频非自治系统共振问题稳态响应近似解运动微分方程弱非线性线性微分方程组;
Abstract: In this paper, the authors attempted to extend the application of the method to nonlinear multi-degree-of-freedom oscillation systems by means of multiple Fourier Series, and named it the multi-frequency asymptotical method. Applying this method, not only Vibration problems of nonlinear multi-degree-of-freedom autonomous systems can be dealt with, So likelycan, multi-frequency Vibration problems and mult i frequency resonanclproblems in nonlinear multi-degree-of-freedom non-autonomous Systems.in the end of this paper is given a theoretical proof of the multi-frequencyasymptotical methed.
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