管路系の固有角振動数の最適化有限要素モデルによる近似に関する研究

抄録

Element lengths of the optimized finite element model of pipeline dynamics have been adjusted so to reduce the errors in natural angular frequencies of a pipe with simple boundary conditions. The aim of this paper is to check the natural angular frequencies of pipeline systems with more realistic boundary conditions and demonstrate the accuracy of the optimized finite element model. A pipe and chamber system and a pipe and mass-spring system are considered as examples, and modeled by a lumped parameter model and an impedance model. The non-dimensional parameters are derived for the pipeline systems. Finally, it is shown that the natural angular frequencies are accurately approximated by the optimized finite element model.