Vibration Analysis for Coupled BeamˇMMultiple
Degree of Freedom System
Tang Hongbo, Wu Chengjun, Huang Xieqing
(School of Mechanical Engineering, Xi'an Jiaotong University, Xi'an 710049, China)
Abstract: The vibration analysis of a coupled system composed of a beam and multiple
degree of freedom (MDOF) subsystem is carried out, and the analytical expressions for
harmonic responses as well as the natural characteristics of this kind of system are
obtained with the recurrence equation method. The numerical results for the undamped
system coincide with the published ones very well to verify the validity of this method,
and it is flexible to apply to the similar coupled structures.
Keywords: beam-multiple degree of freedom system; vibration analysis; recurrence equation
method