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Time-dependent constitutive modeling of drive belts—II. The effect of the shape of material retardation spectrum on the strain accumulation process

  • B. ZupančičEmail author
  • I. Emri
Article

Abstract

This is the second paper in the series addressing the constitutive modeling of dynamically loaded elastomeric products such as power transmission belts. During the normal operation of such belts certain segments of the belt structure are loaded via tooth-like cyclical loading. When the time-dependent properties of the elastomeric material “match” the time-scale of the dynamic loading a strain accumulation (incrementation) process occurs. It was shown that the location of a critical rotation speed strongly depends on the distribution (shape) of the retardation spectrum, whereas the magnitude of the accumulated strain is governed by the strength of the corresponding spectrum lines. These interrelations are extremely non-linear. The strain accumulation process is most intensive at the beginning of the drive belt operation, and is less intensive for longer belts. The strain accumulation process is governed by the spectrum lines that are positioned within a certain region, which we call the Strain Accumulation Window (SAW). An SAW is always located to the right of the spectrum line, L i , at log (ω λ i )=0, where ω is the operational angular velocity. The width of the SAW depends on the width of the material spectrum. Based on the following analysis a new designing criterion is proposed for use in engineering applications for selecting a proper material for general drive-belt operations.

Keywords

Viscoelasticity Time-dependent mechanical properties Durability Mechanical spectrum Shear creep compliance Stress-strain accumulation Constitutive modeling Designing criterion Dynamic loading Drive-belts Elastomers Polymers 

References

  1. Emri, I., Tschoegl, N.W.: Generating line spectra from experimental responses. Part I: Relaxation modulus and creep compliance. Rheol. Acta 32, 311–321 (1993) CrossRefGoogle Scholar
  2. Emri, I., Kramar, J., Hribar, A., Nikonov, A., Florjancic, U.: Time-dependent constitutive modeling of drive belts—I. The effect of geometry and number of loading cycles. Mech. Time-Depend. Mater. 10(3), 245–262 (2006) CrossRefGoogle Scholar
  3. Tschoegl, N.W.: The Phenomenological Theory of Linear Viscoelastic Behavior: An Introduction. Springer, Berlin (1989) zbMATHGoogle Scholar

Copyright information

© Springer Science+Business Media, B. V. 2009

Authors and Affiliations

  1. 1.Center for Experimental MechanicsUniversity of LjubljanaLjubljanaSlovenia
  2. 2.Institute for Sustainable Innovative TechnologiesLjubljanaSlovenia

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