An equivalent excitation spectrum inversion method for complex systems
WANG Shuai1,2,WANG Minqing1,2,LIAO Daxiong3,LEI Yu1,2
1. School of Marine Science and Technology, Northwestern Polytechnical University, Xi’an 710072, China;
2. Shenzhen Research Institute, Northwestern Polytechnic University, Shenzhen 518057, China;
3. China Aerodynamics Research and Development Center, Mianyang 621000, China
Abstract：In the complex coupling system, it is difficult to measure the vibration response of the excitation position subject to the structural spatial constraints, while the response of the measuring points nearby cannot characterize the actual excitation. It is necessary to solve the problem of equivalent excitation spectrum inversion when taking the vibration response of the measuring points as excitation. A method for equivalent excitation spectrum inversion is proposed in this paper, supporting for the statistical energy analysis prediction in the complex coupling system. Based on the partial coherence analysis method, the partitioning method of subsystems was improved, the structural vibration energy transfer admittance parameters were obtained, and the objective function for equivalent excitation spectrum inversion was constructed. Based on the rapid convergence of genetic algorithm, the optimal calculation model of equivalent excitation spectrum inversion objective function was established, the effective inversion of the equivalent excitation spectrum of the complex system was realized. The validity and engineering applicability of the proposed equivalent excitation spectrum inversion method for complex systems were verified by an example of double-layer cylindrical shell structure. The method presented in this paper can provide a new technical means for excitation spectrum inversion.
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