Motion analysis of a moving elastic beam with a moving mass

Author

Park, S. ; Chung, W.K. ; Youm, Y. ; Lee, J.W.

Author_Institution

RIST, Pohang Inst. of Sci. & Technol., South Korea

fYear

1999

fDate

1999

Firstpage

167

Lastpage

172

Abstract

The vibrational motion of an elastic beam fixed on a moving cart and carrying a moving mass was investigated. The equations of motion which describes the total dynamics of the beam-mass-cart system were derived and the coupled dynamic equations were 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 weight of the beam-mass-cart system were used. Proper transformations of the time solutions between the normal modes for a position and those for the next position of the moving mass were also adopted. Numerical simulations were carried out to obtain the open-loop responses of the system in tracking the pre-designed path of the moving mass

Keywords

dynamics; modal analysis; position control; vibration control; beam-mass-cart system; coupled dynamic equations; eigenfrequencies; exact normal mode solutions; motion analysis; moving cart; moving elastic beam; moving mass; normal modes; pen-loop responses; total dynamics; unconstrained modal analysis; vibrational motion; Cranes; Equations; Mechanical engineering; Modal analysis; Motion analysis; Numerical simulation; Optical coupling; Robots; Structural beams; Vibrations;

fLanguage

English

Publisher

ieee

Conference_Titel

Advanced Intelligent Mechatronics, 1999. Proceedings. 1999 IEEE/ASME International Conference on

Conference_Location

Atlanta, GA

Print_ISBN

0-7803-5038-3

Type

conf

DOI

10.1109/AIM.1999.803161

Filename

803161