Journal of the Korean Society for Precision Engineering (한국정밀공학회지)
- Volume 16 Issue 11
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- Pages.204-212
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- 1999
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- 1225-9071(pISSN)
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- 2287-8769(eISSN)
Motion analysis of a Translating Flexible Beam Carrying a Moving Mass
이동부하를 가지고 병진운동하는 유연보의 운동 해석
- Published : 1999.11.01
Abstract
In this paper, the vibrational motion of a flexible beam clamped on a translating base and carrying a moving mass is investigated. The equations of motion which describe the total dynamics of the beam-mass-cart system are derived and the coupled dynamic equations are solved by unconstrained modal analysis. In modal analysis, the exact normal mode solutions corresponding to the eigenfrequencies for the position of the moving mass and the ratios of the mass of the flexible beam, the moving mass and the base cart are used. Proper transformations of the time solutions between the normal modes for a position and those for the next position of the moving mass are also adopted. Numerical simulations are carried out to obtain the open-loop responses of the system in tracking the pre-designed path of the moving mass.
Keywords