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http://dx.doi.org/10.5050/KSNVN.2007.17.10.946

Lateral Vibration Analysis of a Nonuniform Beam by Ritz's Method  

Park, Sok-Chu (한국해양대학교 조선해양시스템공학부)
Publication Information
Transactions of the Korean Society for Noise and Vibration Engineering / v.17, no.10, 2007 , pp. 946-949 More about this Journal
Abstract
This paper discusses the lateral vibration of a beam with boundary condition of one end fixed and the other end free. The uniform beam has a solution by summation of some simple exponential functions. But if its shape is not uniform, its solution could be by Bessel's function or mathematical solution could not exist. Even if the solution of Bessel's function exists, as Bessel function is a series function, we must get the solution by numerical method. Author had proposed the solution of the matrix method by Ritz's method and a new mode shape function, and had earned the good results for a wedge beam. Hereby a vibration analysis for the tapered beam with circle cross section was executed, and so good results were showed.
Keywords
Lateral Vibration of Beam; Ritz Method; Shape Function;
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  • Reference
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