Open AccessNonlinear Dynamics of Cross-Flow Tubes Subjected to Initial Axial Load and Distributed Impacting Constraints
Author(s) -
Mengdi Liu,
Yikun Wang,
Tao Qin,
Jing Zhao,
Yujin Du
Publication year - 2021
Publication title -
shock and vibration
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.418
H-Index - 45
eISSN - 1875-9203
pISSN - 1070-9622
DOI - 10.1155/2021/2359090
Subject(s) - mechanics , nonlinear system , spring (device) , displacement (psychology) , flow (mathematics) , tube (container) , bernoulli's principle , fluid dynamics , dynamics (music) , structural engineering , control theory (sociology) , physics , engineering , computer science , mechanical engineering , psychology , control (management) , quantum mechanics , artificial intelligence , acoustics , psychotherapist , thermodynamics
The dynamics of cross-flow tubes were studied in consideration of initial axial load and distributed impacting constraints, modeled as cubic and trilinear spring constraints. The tubes were modeled as Euler–Bernoulli beams and supported at both ends, including the simply supported tube and clamped-clamped tube. The analytical model involves a time-delayed displacement term induced by the cross flow based on the quasi-steady theory. For simplicity, a single flexible supported beam in a rigid square array of cylinders was studied by using the damping-controlled mechanism. The mean extension of the tube was considered, and thus, it added another nonlinear term in the equation of motion. Results show that the tube loses stability by buckling and fluttering at various initial pressure loads and cross-flow velocities. An increase was observed for critical velocities and initial pressure loads. Chaotic oscillations were observed for the trilinear spring model. The distribution of the impacting forces was also calculated. Some of the fresh results obtained in the impact system are expected to be helpful in understanding and controlling the dynamic responses of fluid-conveying pipes.