,It Wd~fl~ ~Ntzi/] ~ ~;f~~>t;flT Dynamic modeling and analysis of a
padder roller system
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Abstract
This paper is intended to deal with the dynamic modeling and analysis of a padder roller system. First, the method of dynamics is utilized for the development of the kinetic and potential energy ofthe system and the governing equations of motion are derived from Hamilton's principle. Afterwards, the open loop transfer function is obtained from the actuator and sensor's locations, and the IMSL . subroutine is used to find all the poles and zeros of the corresponding open loop system. The dynamic characteristics such as natural frequencies and mode shapes are analyzed by the frequency equation acquired by assume-mode method. Through the transfer function and dynamic characteristics developed by this research, it is expected to be used as the key for the design of controllers.
Keywords: Dynamic modeling, Padder roller, Assume-made-method, Natural frequencies, critical speeds
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158