Optimization of Hoop Layouts for Reducing Vibration Amplitude of Pipeline System Using the Semi-Analytical Model and Genetic Algorithm
Xudong Liu, Wei Sun, Zhihui Gao
Abstract
The pipeline system on the outside of aero-engine needs to work in resonance environment in some cases, therefore, it is necessary to reduce the vibration amplitude of pipeline systems to improve the reliability in the dynamic design stage. In this paper, a single pipeline system with multi-hoop supports was taken as the object and a method based on genetic algorithm to realize the layout of hoops and effectively reduce the resonance amplitude of pipeline system was proposed. Considering that the system belongs to the statically indeterminate structure, a new semi-analytical model was developed, that is, the pipeline is modeled under free boundary conditions firstly, and then the hoop is introduced into the pipeline system in the form of spring-damping structure. Meanwhile, in the process of modeling, to improve the analysis accuracy of the model, the non-uniform distribution springs were used to simulate the support stiffness of hoops, and the uniformly distributed dampers were used to simulate the support damping of hoops. Taking the position of the hoop as the design variable, the optimization model of the hoop layout with minimizing the maximum vibration amplitude of pipeline systems as the optimization objective was established, furthermore the optimization solution process of the hoop layout based on genetic algorithm was given. Finally, a case study was carried out to verify the rationality of the proposed semi-analytical model and the optimal hoop support positions were obtained by the proposed optimization model and method.