An Amplitude-Frequency Curve-Based Parameter Sensitivity Analysis for the Conveying Fluid Pipe

Abstract

Sensitivity analysis is a common way to research the parameters’ impact on complex systems, for instance national economy, environment, ecosystem, etc. The parametric analysis of a conveying fluid pipe is a challenge because it is a complex high-order partial differential system. In this brief, a mechanism-based method is proposed to analyze the parameter sensitivity of the conveying fluid pipe. Firstly, the mathematical model in a high-order partial differential form of the conveying fluid pipe under a harmonic load is deduced and transformed into a nonlinear ordinary differential equation form through the Galerkin truncation. The amplitude-frequency curve of the target system is established by harmonic balance method and matrix analysis technique. Then, the parameter sensitivity is discussed by the analytical results of the amplitude-frequency curve through Newton’s method. Finally, some examples are applied to intuitively illustrate the conveying fluid pipe’s parameter sensitivity.