纯模态试验中的作动器/传感器优化配置

基于有效独立法,研究了逐步消减法在纯模态试验作动器/传感器优化配置中的应用。对一给定自由度的结构系统,由系统的模态动能可得系统的F isher信息阵。在优化过程中,根据F isher信息阵可得到各自由度节点所对应的E fI值,由E fI值的大小来确定每次要删除的作动器/传感器。在逐步消减的过程中,把E fI的值表示为一个矩阵的形式,使得优化过程清晰明了,提高了优化效率。最后,通过对一个20自由度的离散悬臂梁的激振器布设进行优化,验证了本文方法的有效性。

Optimization Placement of Actuators/Sensors in Normal Modal Test

Based on an effective independence(EfI) idea,a method is presented to optimize the placement of actuators/sensors in normal modal test by the successive reduction of them one by one.For a structure with given freedom,the Fisher matrix can be formulated from the kinetic energy of the mode.Using the Fisher matrix,the value of EfI can be calculated,and then the actuator/sensor to be deleted can be decided.A matrix expressing the value of EfI is put forward in the process of the reduction and a perspicuous and efficient optimization procedure is set up.A cantilever beam with twenty degrees of freedom is used as an example to show the effectiveness of the proposed method.