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http://dx.doi.org/10.5050/KSNVE.2015.25.6.420

Exact Solutions for Bending Vibration of Beam with Linearly Reduced width Along Its Length  

Lee, Jung Woo (KEPCO KPS Technology Research & Development Institute)
Kim, Jung Ho (Mechanical Engineering, Kyonggi University)
Lee, Jung Youn (School of Mechanical System Design Engineering, Kyonggi University)
Publication Information
Transactions of the Korean Society for Noise and Vibration Engineering / v.25, no.6, 2015 , pp. 420-425 More about this Journal
Abstract
In this paper a transfer matrix method is developed to solve for bending vibration of beam with linearly reduced width, and subsequently used to determine the exact natural frequencies for such problems. The differential equation, shear force, and bending moment are derived from Hamilton's principle, and the roots of the differential equation are computed using the power series solution of the Frobenius method. The effect of various taper ratio for bending vibration of beam with linearly reduced width is investigated in detail, and to validate the accuracy of the proposed method the results computed are compared with those given from commercial software(ANSYS).
Keywords
Bending Vibration; Transfer Matrix Method; Free Vibration Characteristics; Bernoull-Euler Beam;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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