A High-Precision Super Element Used for the Parametric Finite Element Modeling and Vibration Reduction Optimization of the Pipeline System

PurposeTo perform the vibration reduction optimization of the pipeline system, it is necessary to solve the vibration response of the pipeline system efficiently and accurately. In this paper, a high-precision Super element with few degrees of freedom (DOFs) is newly constructed, and the parametric finite element modeling (PFEM) and vibration reduction optimization methods of the pipeline system are innovatively proposed.MethodA high-precision nonconforming solid (Solid-NC) element is obtained by introducing node-free displacement items into the 8-node conforming solid element. The virtual nodes are constructed, and the coupling element is used to connect the solid and virtual nodes. Furthermore, a Super element is constructed by the statics condensation method, and the stiffness and mass matrices of the Super element are parameterized. The PFEM of the pipeline system is realized by parameterizing the node coordinates, and the rationality of the Super element is verified by the solid model of the pipeline system and the experimental test. Then the genetic algorithm is used to perform vibration reduction optimization.ResultsThe computational efficiencies of the PFEM method are 624.9 times and 151.2 times higher than those of the Solid-NC element in solving the natural characteristics and displacement response, respectively. The integrated displacement response of the optimal pipeline shape is 2.5 times lower than that of the most dangerous pipeline shape.ConclusionsThe Super element can efficiently predict the dynamic characteristics of the pipeline system, which can be used for topology optimization of the pipeline system.