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Nonlinear dynamics of spinning fluid-conveying pipes with structural damping: stability analysis and post-instability behavior

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Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
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Ali Fasihi, Grzegorz Kudra, Maryam Ghandchi Tehrani, Jan Awrejcewicz

Chaotic Dynamics · Submitted 30 Oct 2024

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim It is shown that due to the presence of internal damping in the system, both rotational speed and flow velocity determine the critical speeds.

how it is stated · asserted 1.00 read the record →

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arXiv ID2410.23237 (version 1)
Pith IDP7S6S7PG, Pith's permanent record of this paper and its review
CitationAli Fasihi, Grzegorz Kudra, Jan Awrejcewicz, Maryam Ghandchi Tehrani. "Nonlinear dynamics of spinning fluid-conveying pipes with structural damping: stability analysis and post-instability behavior." arXiv:2410.23237 (2024). https://pith.science/paper/P7S6S7PG
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 5,495 input tokens.

What the abstract itself states, as probabilities: claims first 0.02 · states limitation 0.07 · human participants 0.01 · controlled comparison 0.04 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.56 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

Nonlinear dynamics of fluid conveying pipe, rotating with constant velocity about its longitudinal axis is analyzed. Considering boundary conditions and internal damping, the nonlinear equation of motion is derived, and it is discretized via the Galerkin method. Afterward, the stability of the system is investigated by characterizing the eigenvalues under the action of two control parameters: rotational speed and flow velocity. Then using direct numerical simulation, instability and stability regions are distinguished in a map as the control parameters vary. It is shown that due to the presence of internal damping in the system, both rotational speed and flow velocity determine the critical speeds. Post-instability behavior is characterized by non-zero equilibrium points, representing deflection in the rotating frame, which correspond to forward whirling motion in the inertial frame. Finally, Hencky Bar-chain Model was employed to verify the results.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 Nonlinear dynamics of fluid conveying pipe, rotating with constant velocity about its longitudinal axis is analyzed. contribution 0.72 0.80 0.04 asserted 0.98
s1 Considering boundary conditions and internal damping, the nonlinear equation of motion is derived, and it is discretized via the Galerkin method. method 0.99 0.93 0.03 asserted 1.00
s2 Afterward, the stability of the system is investigated by characterizing the eigenvalues under the action of two control parameters: rotational speed and flow velocity. method 0.96 0.92 0.07 asserted 0.94
s3 Then using direct numerical simulation, instability and stability regions are distinguished in a map as the control parameters vary. method 0.90 0.94 0.08 asserted 0.97
s4 It is shown that due to the presence of internal damping in the system, both rotational speed and flow velocity determine the critical speeds. result 0.97 0.89 0.40 asserted 1.00
s5 Post-instability behavior is characterized by non-zero equilibrium points, representing deflection in the rotating frame, which correspond to forward whirling motion in the inertial frame. result 0.70 0.89 0.28 asserted 1.00
s6 Finally, Hencky Bar-chain Model was employed to verify the results. method 1.00 0.90 0.04 asserted 0.99

What kind of paper the classifier reports this is: simulation study 0.60 · evidence from simulation or computation 0.95.

What was examined, and what was not

sources read
  • arXiv listing abstract v1
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

Nonlinear dynamics of fluid conveying pipe, rotating with constant velocity about its longitudinal axis is analyzed. Considering boundary conditions and internal damping, the nonlinear equation of motion is derived, and it is discretized via the Galerkin method. Afterward, the stability of the system is investigated by characterizing the eigenvalues under the action of two control parameters: rotational speed and flow velocity. Then using direct numerical simulation, instability and stability regions are distinguished in a map as the control parameters vary. It is shown that due to the presence of internal damping in the system, both rotational speed and flow velocity determine the critical speeds. Post-instability behavior is characterized by non-zero equilibrium points, representing deflection in the rotating frame, which correspond to forward whirling motion in the inertial frame. Finally, Hencky Bar-chain Model was employed to verify the results.

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