Academic Journal
Nonlinear Resonant Responses, Mode Interactions, and Multitime Periodic and Chaotic Oscillations of a Cantilevered Pipe Conveying Pulsating Fluid under External Harmonic Force: Nonlinear resonant responses, mode interactions, and multitime periodic and chaotic oscillations of a cantilevered pipe conveying pulsating fluid under external harmonic force
| Title: | Nonlinear Resonant Responses, Mode Interactions, and Multitime Periodic and Chaotic Oscillations of a Cantilevered Pipe Conveying Pulsating Fluid under External Harmonic Force: Nonlinear resonant responses, mode interactions, and multitime periodic and chaotic oscillations of a cantilevered pipe conveying pulsating fluid under external harmonic force |
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| Authors: | Y. F. Zhang, T. Liu, W. Zhang |
| Source: | Complexity, Vol 2020 (2020) |
| Publisher Information: | Wiley, 2020. |
| Publication Year: | 2020 |
| Subject Terms: | Electronic computers. Computer science, 0103 physical sciences, QA75.5-76.95, 01 natural sciences, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), Strange attractors, chaotic dynamics of systems with hyperbolic behavior, 3. Good health |
| Description: | The nonlinear resonant responses, mode interactions, and multitime periodic and chaotic oscillations of the cantilevered pipe conveying pulsating fluid are studied under the harmonic external force in this research. According to the nonlinear dynamic model of the cantilevered beam derived using Hamilton’s principle under the uniformly distributed external harmonic excitation, we combine Galerkin technique and the method of multiple scales together to obtain the average equation of the cantilevered pipe conveying pulsating fluid under 1 : 3 internal resonance and principal parametric resonance. Based on the average equation in the polar form, several amplitude-frequency response curves are obtained corresponding to the certain parameters. It is found that there exist the hardening-spring type behaviors and jumping phenomena in the cantilevered pipe conveying pulsating fluid. The nonlinear oscillations of the cantilevered pipe conveying pulsating fluid can be excited more easily with the increase of the flow velocity, external excitation, and coupling degree of two order modes. Numerical simulations are performed to study the chaos of the cantilevered pipe conveying pulsating fluid with the external harmonic excitation. The simulation results exhibit the existence of the period, multiperiod, and chaotic responses with the variations of the fluid velocity or excitation. It is found that, in the cantilevered pipe conveying pulsating fluid, there are the multitime nonlinear vibrations around the left-mode and the right-mode positions, respectively. We also observe that there exist alternately the periodic and chaotic vibrations of the cantilevered pipe conveying pulsating fluid in the certain range. |
| Document Type: | Article |
| File Description: | application/xml; text/xhtml |
| Language: | English |
| ISSN: | 1099-0526 1076-2787 |
| DOI: | 10.1155/2020/9840860 |
| Access URL: | https://downloads.hindawi.com/journals/complexity/2020/9840860.pdf https://doaj.org/article/015507f465254660b2ed8637f0104940 http://downloads.hindawi.com/journals/complexity/2020/9840860.pdf https://ideas.repec.org/a/hin/complx/9840860.html https://downloads.hindawi.com/journals/complexity/2020/9840860.pdf https://doi.org/10.1155/2020/9840860 https://www.hindawi.com/journals/complexity/2020/9840860/ https://dblp.uni-trier.de/db/journals/complexity/complexity2020.html#ZhangLZ20b |
| Rights: | CC BY |
| Accession Number: | edsair.doi.dedup.....0bd9ef54574665a73e7c90a49d6b097f |
| Database: | OpenAIRE |
| ISSN: | 10990526 10762787 |
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| DOI: | 10.1155/2020/9840860 |