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http://dx.doi.org/10.5050/KSNVE.2015.25.12.822

Bending Vibration Analysis of Width Tapered Beams with Concentrated Tip Mass  

Lee, Jung Woo (KEPCO KPS Technology Research & Development Institute)
Kwak, Jong Hoon (Dept. of Mechanical Engineering, Kyonggi University)
Lee, Jung Youn (Department of Mechanical System Engineering, Kyonggi University)
Publication Information
Transactions of the Korean Society for Noise and Vibration Engineering / v.25, no.12, 2015 , pp. 822-829 More about this Journal
Abstract
A transfer matrix method has been developed to determine the more accurate natural frequencies for the bending vibration of Bernoulli-Euler beam with linearly reduced width and a concentrated tip mass. The proposed method can be computed an infinite number of the natural frequencies using a single element. Using the differential equation, shear force, and bending moment in which can be deduced by the diverse variational principles, a transfer matrix is formulated. The roots of the differential equation are computed by the Frobenius method. The effect of the concentrated mass for the natural frequencies of width-tapered beams is examined through a parametric study, and to show the accuracy of the proposed method, the computed results compared with those obtained from commercial finite element analysis program(ANSYS).
Keywords
Bending Vibration; Transfer Matrix Method; Free Vibration Characteristics; Bernoull-Euler Beam; Tip Mass;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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