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Dynamic analysis of a pulley-belt system with different pulley radii and support stiffness

Title
Dynamic analysis of a pulley-belt system with different pulley radii and support stiffness
Author
정진태
Keywords
Rigid-body motion; Pulley-belt system; Natural frequency crossing; Natural frequency veering; Mode coupling
Issue Date
2018-12
Publisher
KOREAN SOC MECHANICAL ENGINEERS
Citation
JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY, v. 32, No. 12, Page. 5597-5613
Abstract
Herein we present a new model to describe a pulley-belt system with various ratios of spring constants supporting the two pulleys and various ratios of pulley radii. The main object of this paper is to analyze the effects of differences between the radii of the two pulleys and the two spring constants on the dynamic characteristics of the pulley-belt system. To this end, five equations of motion and eight boundary conditions are derived using Hamilton's principle, and the governing equations are discretized using Galerkin's method. The natural frequencies and the mode shapes corresponding to the various radius ratios of the two pulleys and ratios of the two spring constants are obtained, and the responses are calculated to verify the dynamic characteristics of the pulley-belt system. This study shows the exact cause of the coupling between the rigid-body motions and belt deflection motions, and the difference between natural frequency veering and crossing phenomena is analyzed by confirming the mode shapes near each phenomenon. In addition, we confirm the influences of the radius ratio of the two pulleys and the ratio of the two spring constants on the changes of the natural frequencies according to the moving velocity of the belt.
URI
https://link.springer.com/article/10.1007/s12206-018-1106-8http://repository.hanyang.ac.kr/handle/20.500.11754/99014
ISSN
1738-494X; 1976-3824
DOI
10.1007/s12206-018-1106-8
Appears in Collections:
COLLEGE OF ENGINEERING SCIENCES[E](공학대학) > MECHANICAL ENGINEERING(기계공학과) > Articles
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