1:1 internal resonance in a two d.o.f. complete system: a comprehensive analysis and its possible exploitation for design

被引：0
作者：
Francesco Clementi
Stefano Lenci
Giuseppe Rega
机构：
[1] Polytechnic University of Marche,Department of Civil and Building Engineering, and Architecture
[2] Sapienza University of Roma,Department of Structural and Geotechnical Engineering
来源：
Meccanica | 2020年 / 55卷
关键词：
Asymptotic analysis; Nonlinear free vibrations; Internal resonance; Multiple time scale method;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The internal resonance of a two degree-of-freedom mechanical system with all typical (quadratic and cubic) geometric nonlinearities is studied, limiting to the case of free dynamics. The Multiple Time Scale method is used to provide an analytical, closed form, approximation of the backbone curves. The cornucopia of different possible behaviours that can been obtained by varying the nonlinear stiffnesses is discussed in depth, illustrating them with some examples and verifying with numerical simulations. Some partially unexpected or relevant behaviours are highlighted, and some hints on how to exploit the proposed results to design nonlinearly tailored systems are given.
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页码：1309 / 1332
页数：23
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