The application provides a sensor optimization arrangement method and
system based on
structural vibration response, and belongs to the technical field of
equipment safety detection. The application comprises the following steps: establishing a finite
element model of a structure to be monitored; calculating an equivalent
energy matrix and an average value of
diagonal elements of the equivalent
energy matrix; starting from all
degrees of freedom, sequentially deleting the minimum value on the
diagonal of the equivalent
energy matrix, and simultaneously deleting the degree of freedom represented by the value; using the remaining
degrees of freedom to construct an iteration matrix; sorting the
main diagonal elements on the iteration matrix, selecting the smallest element, and deleting the degree of freedom vector corresponding to the element from the
modal matrix; repeating the step until the number of remaining
degrees of freedom is equal to the number of sensors to be arranged, wherein the sensors are arranged on the remaining degrees of freedom. The application not only considers high-energy measuring points and improves the
noise resistance of the measuring point combination, but also fully guarantees the
modal independence and
modal information amount of the measuring point combination, and is more suitable for the application of sensor optimization arrangement in actual
engineering practice.