内共振系统非线性模态构造
The construction of non-linear normal modes for systems with internal resonanceA numerical method, based on the invariant manifold approach, is presented for constructing non-linear normal modes for systems with internal resonances. In order to parameterize the non-linear normal modes of interest, multiple pairs of system state variables involved in the internal resonance are kept as ‘seeds’ for the construction of the multi-mode invariant manifold. All the remaining degrees of freedom are then constrained to these ‘seed’, or master, variables, resulting in a system of non-linear partial differential equations that govern the constraint relationships, and these are solved numerically. The computationally-intensive solution procedure uses a combination of finite difference schemes and Galerkin-based expansion approaches. It is illustrated using two examples, both of which focus on the construction of two-mode models. The first example is based on the analysis of a simple three-degree-of-freedom example system, and is used to demonstrate the approach. An invariant manifold that captures two non-linear normal modes is constructed, resulting in a reduced order model that accurately captures the system dynamics. The methodology is then applied to a larger order system, specifically, an 18-degree-of-freedom rotating beam model that features a three-to-one internal resonance between the first two flapping modes. The accuracy of the non-linear two-mode reduced order model is verified by comparing time-domain simulations of the two DOF model and the full system equations of motion.
思想值得借鉴，有全文吗？ 上文左下角有链接。 谁能第一个把非线性模态用上一把 真刀真枪地 呵呵~~没精力搞这么多阿 A wrong way to go in Nonlinear Dynamics. 为什么这么说呢？
看国内陈予恕和徐鉴都在这方面走过一点的，看过一些资料，不过现在没有时间去往这方面想哈！ :@) 这篇文章在那能下到？
那个连接不能用
谢谢 有Elsevier这个数据库的权限的才可以看到 刚看过想做这方面的
看看怎么样
怎么发附件 刚看过想做这方面的
看看怎么样
谁要找我
qq120282811 chaos2 发表于 2008-2-5 08:42
A wrong way to go in Nonlinear Dynamics.
So you may have better suggestion to diving in nonlinear dynamics?
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