期刊
出版社
ROYAL SOC
DOI: 10.1098/rspa.2016.0789
关键词
structural dynamics; nonlinear normal modes; backbone curves; energy transfer; resonance; second-order normal form technique
资金
- EPSRC
- [EP/K005375/1]
- Engineering and Physical Sciences Research Council [EP/K005375/1, EP/P019323/1, EP/K032739/1] Funding Source: researchfish
- EPSRC [EP/K005375/1, EP/P019323/1, EP/K032739/1] Funding Source: UKRI
Nonlinear normal modes (NNMs) are widely used as a tool for understanding the forced responses of nonlinear systems. However, the contemporary definition of an NNM also encompasses a large number of dynamic behaviours which are not observed when a system is forced and damped. As such, only a few NNMs are required to understand the forced dynamics. This paper firstly demonstrates the complexity that may arise from the NNMs of a simple nonlinear system-highlighting the need for a method for identifying the significance of NNMs. An analytical investigation is used, alongside energy arguments, to develop an understanding of the mechanisms that relate the NNMs to the forced responses. This provides insight into which NNMs are pertinent to understanding the forced dynamics, and which may be disregarded. The NNMs are compared with simulated forced responses to verify these findings.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据