Nonlinear stress analysis of aero-engine pipeline based on semi-analytical method

• Published in: Applied mathematics and mechanics Vol. 46; no. 3; pp. 521 - 538
• Main Authors: Chen, Weijiao, Qu, Xiaochi, Zhang, Ruixin, Guo, Xumin, Ma, Hui, Wen, Bangchun
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.03.2025; Springer Nature B.V
• Edition: English ed.
• Subjects: Algorithms; Applications of Mathematics; Clamps; Classical Mechanics; Coupling; Dynamical systems; Fatigue failure; Fluid- and Aerodynamics; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Nonlinear dynamics; Parameter identification; Partial Differential Equations; Particle swarm optimization; Shell theory; Stress analysis; Stress distribution; O322; 74H15; pipeline modeling; nonlinear vibration; nonlinear-clamp support; stress analysis
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/s10483-025-3225-8

Fatigue failure caused by vibration is the most common type of pipeline failure. The core of this research is to obtain the nonlinear dynamic stress of a pipeline system accurately and efficiently, a topic that needs to be explored in the existing literature. The shell theory can better simulate the circumferential stress distribution, and thus the Mindlin-Reissner shell theory is used to model the pipeline. In this paper, the continuous pipeline system is combined with clamps through modal expansion for the first time, which realizes the coupling problem between a shell and a clamp. While the Bouc-Wen model is used to simulate the nonlinear external force generated by a clamp, the non-linear coupling characteristics of the system are effectively captured. Then, the dynamic equation of the clamp-pipeline system is established according to the Lagrange energy equation. Based on the resonance frequency and stress amplitude obtained from the experiment, the nonlinear parameters of the clamp are identified with the semi-analytical method (SAM) and particle swarm optimization (PSO) algorithm. This study provides a theoretical basis for the clamp-pipeline system and an efficient and universal solution for stress prediction and analysis of pipelines in engineering.