The non-linear free vibration of viscoelastic moving belts is studied. Based on the linear viscoelastic differential constitutive law, the generalized equation of motion is derived for a moving belt with geometric non-linearities. The method of multiple scales is applied directly to the governing eq
Analysis of the Non-Linear Vibration Characteristics of a Belt-Driven System
โ Scribed by K.S. Kim; M.J. Lee
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 228 KB
- Volume
- 223
- Category
- Article
- ISSN
- 0022-460X
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โฆ Synopsis
In this paper, a mathematical model for a belt-driven system is proposed to analyze vibration characteristics of driving units having belts, and free and forced vibration analyses are carried out. The mathematical model for a beltdriven system includes belts, pulleys, spindle and bearings. The material properties of each belt and the equivalent stinesses supported by pulleys, bearings and a spindle are calculated through experiments. By using Hamilton's principle, four non-linear governing equations and twelve non-linear boundary conditions are derived. To linearize and discretize the non-linear governing equations and boundary conditions, the perturbation and Galerkin methods are used. Also, the free vibration analyses for various parameters of a belt driven system are made, including the tension of a belt, the length of a belt, the material properties of belts, the belt velocity and the pulley mass. Forced vibration analyses of the system are performed, and the dynamic responses for the main parameters are analyzed for a belt driven system.
๐ SIMILAR VOLUMES
The non-linear forced fibration of viscoelastic moving belts excited by the eccentricity of pulleys is investigated. The generalized equations of motion are derived for a viscoelastic moving belt with geometric non-linearities by adopting the linear viscoelastic differential constitutive law. The me
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