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Riccati transfer equations for fluid structure interaction in liquid-filled piping systems
Li Tang1, Rui Xiaoting1, Zhang Jianshu1
1Institute of Launch Dynamics, Nanjing University of Science and Technology, Nanjing, Jiangsu Province, 210094, PR China.
Heliyon
|May 19, 2023
Summary
This study introduces the Riccati fluid structure interaction transfer equations (FSIRTE) for enhanced numerical stability in liquid-filled piping systems. The new method offers efficient and accurate natural frequency calculations compared to existing techniques.
Area of Science:
- Mechanical Engineering
- Computational Fluid Dynamics
- Structural Dynamics
Background:
- Classical fluid structure interaction transfer matrix method (FSITMM) suffers from numerical instability.
- Calculating natural frequencies of liquid-filled piping systems is crucial for structural integrity.
- Existing methods like FEM and MOC have limitations in efficiency or accuracy.
Purpose of the Study:
- To establish the Riccati fluid structure interaction transfer equations (FSIRTE) for improved numerical stability.
- To address the spare root problem in fluid-structure interaction calculations.
- To provide an efficient and accurate method for natural frequency analysis of liquid-filled piping systems.
Main Methods:
- Development of Riccati fluid structure interaction transfer equations (FSIRTE) based on the Riccati transfer matrix method (RTMM).
- Integration of numerical algorithms to eliminate singularity points in Riccati equations.
- Application to natural frequency calculation of liquid-filled piping systems.
Main Results:
- The proposed FSIRTE method demonstrates superior numerical stability compared to FSITMM.
- The method achieves high calculation efficiency, outperforming the finite element method (FEM).
- Accurate calculation results are obtained, validated against the method of characteristics (MOC).
Conclusions:
- The FSIRTE method offers a numerically stable, efficient, and accurate approach for analyzing liquid-filled piping systems.
- This advancement overcomes limitations of traditional methods in fluid-structure interaction analysis.
- The study provides a robust tool for natural frequency calculations in relevant engineering applications.
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