Non-linear dynamics of a simply supported fluid-conveying pipe subjected to motion-limiting constraints: Two-dimensional analysis. (24th November 2018)

• Record Type: Journal Article
• Authors: Peng, Geng; Xiong, Youming; Gao, Yun; Liu, Liming; Wang, Menghao; Zhang, Zheng
• Is Part Of: Journal of sound and vibration. Volume 435(2018)
• Page Start: 192
• Page End: 204
• Publication Date: 2018-11-24
• Subjects: Pipe conveying pulsating fluid -- Non-linear dynamics -- Motion-limiting constraints -- Two-dimensional analysis; Sound -- Periodicals; Vibration -- Periodicals; Son -- Périodiques; Vibration -- Périodiques; Sound; Vibration; Periodicals; Electronic journals; 620.205
• DOI: 10.1016/j.jsv.2018.08.018
• Languages: English
• ISSNs: 0022-460X

Abstract

Abstract: In this paper, the coupled axial and transverse non-linear vibrations of a simply supported pipe, subjected to motion-limiting constraints, conveying pulsating fluid are investigated. The equations of motion are discretized into a set of coupled ordinary differential equations via Galerkin's method, which are then solved using Houbolt's method combined with Newton-Raphson iterative technique. The bifurcation diagrams are constructed to present the global dynamics of the system. Phase-plane portraits, Poincaré maps and power spectrum diagrams are plotted to show the characteristics of some typical motions, such as quasi-periodic and chaotic motions. Finally, the influence of axial motion on the system dynamics is investigated.