Fluid-Structure Interaction Analysis of Aircraft Hydraulic Pipe with Complex Constraints Based on Discrete Time Transfer Matrix Method

Haihai Gao,Changhong Guo,Lingxiao Quan

doi:10.3390/app112411918

Abstract

Fluid-structure interaction (FSI) is prevalent in aircraft hydraulic pipes due to high-pressure fluid pulsation, complex pipe path routing and boundary constraints, which pose a serious threat to the safety and reliability of the aircraft hydraulic system. This paper focuses on the FSI response of aircraft hydraulic pipes with complex constraints. A comprehensive fourteen-equation model for describing the FSI of pipe conveying fluid with wide pressure and Reynolds number range is proposed. The excitation models and complex boundary constraints of liquid-filled pipes are established. Moreover, based on the transfer matrix method (TMM), combined with the time discreteness and analytical integral method, a discrete time transfer matrix method (DTTMM) for solving the FSI fourteen-equation model in time domain is presented. Then, the numerical solution and experiment of an ARJ21-700 aircraft hydraulic pipe with complex constraints is carried out with four working conditions. The obtained results verify the correctness of the proposed model and solution method, and reveal the universal laws of the FSI response about aircraft hydraulic pipes, which can also provide theoretical and experimental references for modeling, solutions and verification in the FSI analysis of pipe conveying fluid.

Highlights

Hydraulic systems are widely employed in aerospace and other significant industry departments by their high power density and high immunity to load variations
The various fluid-structure interaction (FSI) models of the pipe conveying fluid used by scholars from various countries are basically developed from the water hammer theory presented by Joukowsky [11]
The four-equation model was extended by Wiggert et al [13] and You et al [14], where Poisson coupling was taken into account

Summary

Introduction

Hydraulic systems are widely employed in aerospace and other significant industry departments by their high power density and high immunity to load variations. For the FSI analysis of aircraft hydraulic pipes, it is of great theoretical and practical significance to establish a comprehensive model to provide accurate solution methods and experimental verifications. The following representative research works are summarized: Skalak [12] presented the classical four-equation model, where the water hammer model was extended and combined with the axial stress model of the pipe and the friction coupling and damping effect were ignored. Based on the work of Skalak, Walker and Phillips [15] presented the six-equation model containing the radial deformation of the pipe and the added mass of the fluid. An eight-equation model considering axial movement of the free end of the pipe for the vibration analysis of the two-dimensional pipe had been built by Davidson [16]. The establishment of a more applicable and comprehensive FSI model awaits further study

Methods

Results

Conclusion