非经典线性动力系统的振动分析

Vibration analysis of non-classical linear dynamic systems

采用状态空间法,对多自由度非经典线性动力系统的振动进行了分析,提出了系统位移主变量和速度主变量概念,给出了系统状态向量与位移主变量和速度主变量之间的关系。算例表明,引入位移主变量和速度主变量后,可使非经典线性动力系统的振动问题得到更清晰的描述。

The vibration of multi-degree-of-freedom non-classical linear dynamic systems is analyzed by using state-space approach. On the basis of this, main variables of displacement and velocity of systems are defined. The relationships between state vector and main variables of displacement and velocity are given. The calculation examples show the problem of non-classical linear dynamic systems can be described clearly by introducing main variables of displacement and velocity.