BUCKLING INSTABILITY ANALYSIS OF HARD-MAGNETIC SOFT PIPES CONVEYING FLUID

Ma Dilong; Wang Lin; Chen Wei

doi:10.6052/0459-1879-23-436

Volume 56 Issue 3

Mar. 2024

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Chinese Journal of Theoretical and Applied Mechanics > 2024 > 56(3): 691-703. > DOI: 10.6052/0459-1879-23-436 CSTR: 32045.14.0459-1879-23-436

Ma Dilong, Wang Lin, Chen Wei. Buckling instability analysis of hard-magnetic soft pipes conveying fluid. Chinese Journal of Theoretical and Applied Mechanics, 2024, 56(3): 691-703. DOI: 10.6052/0459-1879-23-436

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BUCKLING INSTABILITY ANALYSIS OF HARD-MAGNETIC SOFT PIPES CONVEYING FLUID

Ma Dilong^*,
Wang Lin^*, ,,
Chen Wei^{†, **, ,}

*.
Department of Engineering Mechanics, School of Aerospace Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
†.
School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
**.
State Key Laboratory of Intelligent Manufacturing Equipment and Technology, Wuhan 430074, China

Received Date: September 06, 2023
Accepted Date: January 30, 2024
Available Online: January 30, 2024
Published Date: January 31, 2024

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Abstract

Abstract

Fluid-conveying pipes are widely used in marine engineering, aerospace, advanced manufacturing, biomedicine and other engineering industries and frontier science and technology. Under the action of the internal fluid flow, the soft pipe may lose stability and is easy to generate large displacement. Therefore, it is of importance to predict the pipe's stability and regulate its mechanical behavior. Based on Hamilton's principle, a theoretical model of hard-magnetic soft pipes under the actuation of the external magnetic field is proposed, the governing equation for a simply supported pipe with an axially sliding downstream end is derived. By employing the Galerkin method, the buckling instability of the pipe system is analyzed, and the magnetic regulation of the buckling deformation behavior of the pipe is realized. The calculated results show that when the flow velocity is below the critical value, the fluid-conveying pipe remains stable at the original straight configuration. When the flow velocity exceeds the critical value, the buckling instability occurs in the form of a static bifurcation. By solving the nonlinear governing equation of the pipe system, the nonlinear mechanical response of the pipe is obtained. It is shown that the magnetic field force magnitude P and the magnetic declination angle α together affect the nonlinear mechanical response of the pipe system. The value of α determines the evolution trend of the critical flow velocity and the pipe's deformed bending shape with the change of the value of P. The proposed theoretical model can be extended to investigate the mechanical response of non-uniformly magnetized soft pipes. The magnetic field regulation method adopted in this work has the advantages of non-contact and rapid response, and is expected to be further applied in the fields of medical devices and extreme environment operations.
- hard-magnetic soft materials,
- fluid-conveying pipe,
- stability,
- magnetic regulation,
- buckling

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References

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BUCKLING INSTABILITY ANALYSIS OF HARD-MAGNETIC SOFT PIPES CONVEYING FLUID

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