Abstract: Sensor placement for structural health monitoring and sensor placement method for reducing uncertainty of structural modal identification. Influences of structural model error and measurement noise on measured responses are separated. Structural stiffness variation is used as model error, and Gaussian noise is used as measurement noise. Monte Carlo method simulates a large number of possible cases, and structural mode shape matrices under each model error condition are obtained. Conditional information entropy index quantifies and calculates uncertainty of identified modal parameter results. Conditional information entropy index solves the problem of uncertain Fisher information matrix, which cannot be solved by traditional information entropy method. Optimal sensor placement corresponds to maximum conditional information entropy index value.

Abstract: Sensor placement for structural health monitoring relating to modal estimation of bridge structures using structural data from strain gauges and accelerometers. Arrange strain gauges at large deformation positions of the structure for monitoring local deformation information. Adjust positions of strain gauges to include as much important displacement modal information as possible. Use strain mode shapes of strain gauge positions to estimate the displacement mode shapes of the structure and increase accelerometer to improve distinguishability of estimated displacement mode shapes, while reducing redundancy information among obtained displacement mode shapes. Different structural information contained in the strain gauges and the accelerometers are used, and placement of strain gauges can give local deformation information of key positions of the structure and obtain accurate structural displacement modal information.

Abstract: A structural modal estimation based sensor placement method of strain gauges and accelerometers, including three steps: selection of initial accelerometer positions, selection of positions to be estimated and selection of strain gauge positions. First, use the modal confidence criterion and modal information redundancy to select the initial accelerometer position. Second, combined with the actual situation, when some positions cannot arrange the accelerometer, define the positions where the displacement modal estimation is needed. Third, use the strain mode shapes estimates the displacement mode shapes of the positions to be estimated, and uses the modal estimation effect to select the positions of the strain gauges. This can fully utilize the monitoring data collected by the strain gauges. The obtained sensor placement conforms to the modal confidence criterion and contains few modal redundancy information, which is an effective joint sensor placement method.