Riccati transfer equations for fluid structure interaction in liquid-filled piping systems

In this paper, based on the Riccati transfer matrix method (RTMM), the Riccati fluid structure interaction transfer equations (FSIRTE) are established to improve the numerical stability of the classical fluid structure interaction transfer matrix method (FSITMM). Combined with numerical algorithms for eliminating the singularity points of the Riccati equations, the spare root problem in the calculation process is solved. This method can be used for the natural frequency calculation of liquid-filled piping systems. Compared with finite element method (FEM), it has the characteristics of high calculation efficiency; meanwhile, good numerical stability, compared with FSITMM; and accurate calculation results, compared with method of characteristics (MOC). Numerical simulation results of typical classical examples are given.