Structural Multi-objective Optimization Design of Bolt Loose Piezoelectric Vibration Sensor Based on Response Surface Method
In order to optimize the structural parameters of the piezoelectric vibration sensor for bolt preload monitoring to increase the output response and optimize its dynamic performance,a design method combining the response surface methodology(RSM)with the multi-objective genetic algorithm(MOGA)was proposed using the maximum equivalent strain of the piezoelectric sheet,the intrinsic frequency of the sensor at 10 Hz and the minimum mass of the sensor as the optimization objectives.The thickness of the mass block,the length,width and thickness of the cantilever beam and piezoelectric sheet were selected as the design factors,and the standard response surface model was constructed by using the optimal space-filling design experimental scheme,and the optimal structural parameter combinations of the sensor were obtained based on MOGA.Finally,numerical simulation was carried out to verify the results based on the optimization.The results showed that the optimized structural dimensions of the cantilever beam and piezoelectric sheet were 100.0 mm×45.0 mm×0.7mm,45.0mm×18.0mm×0.7mm,and the thickness of the mass block was 15.0mm,the resonance frequency of the sensor structure was 9.49 Hz,and the output response was increased by 6.39%.The optimization design could be used for bolt preload monitoring.