Modal analysis of ballooning strings with small curvature

R. Fan, S. K. Singh, Christopher D. Rahn

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

During the manufacture and transport of textile products, yarns are rotated at high speed. The surface of revolution generated by the rotating yarn is called a balloon. The dynamic response of the balloon to varying rotation speed, boundary excitation, and aerodynamic disturbances affects the quality of the associated textile product. Resonance, in particular, can cause large tension variations that reduce product quality and may cause yarn breakage. In this paper, the natural frequencies and mode shapes of a single loop balloon are calculated to predict resonance. The three-dimensional nonlinear equations of motion are simplified under assumptions of small displacement and quasi-static axial motion. After linearization, Galerkin’s method is used to calculate the mode shapes and natural frequencies. Experimental measurements of the steady-state balloon shape and the first two natural frequencies and mode shapes are compared with theoretical predictions.

Original languageEnglish (US)
Pages (from-to)332-338
Number of pages7
JournalJournal of Applied Mechanics, Transactions ASME
Volume68
Issue number2
DOIs
StatePublished - Jan 1 2001

Fingerprint

Balloons
Modal analysis
balloons
yarns
modal response
strings
curvature
Yarn
resonant frequencies
Natural frequencies
textiles
Textiles
products
causes
linearization
dynamic response
Linearization
aerodynamics
Nonlinear equations
nonlinear equations

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

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Modal analysis of ballooning strings with small curvature. / Fan, R.; Singh, S. K.; Rahn, Christopher D.

In: Journal of Applied Mechanics, Transactions ASME, Vol. 68, No. 2, 01.01.2001, p. 332-338.

Research output: Contribution to journalArticle

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