关于一类非线性阻尼模型控制问题的一个注记

利用模态方法进行柔性体控制，就必须作模态截断。在线性粘性阻尼模型情形，阻尼正比于频率，高阶模态会很快衰减。但对于非线性阻尼模型，情况就复杂了。结果表明，高阶模态响应不总能很快衰减，并依赖于初始条件、因为对于非线性阻尼模型的控制，如何进行模态截断，是一个需要谨慎处理的问题。

A Note on Control of Non-linearly Damped Model

The modal truncation is necessary when the modal control method is used in control of flexiblestructures.For the linear damping, it is simple for the higher order modals decay rapidly. However itis more complicated when non-Iinear damping is introduced.It is said the decay rates of the higher or-der modal depend on the initial condition very strongly.For this situation,it should be careful enoughto select the controlled modals and it also complicates to deal with the modal truncation problems.