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Vibration Analysis of Wedge Type Bar by Ritz Method  

Park Sok-Chu (한국해양대하교 해양시스템공학부)
Publication Information
Journal of Advanced Marine Engineering and Technology / v.29, no.8, 2005 , pp. 877-882 More about this Journal
Abstract
This paper discusses the lateral vibration of a bar which has its tip free. The uniform bar 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 be existed. Enen if the solution of Bessel's function exists. as Bessel function is a series function. we must got the solution by numerical method Hereby the author Proposes the ununiform beam solution of the matrix method by Ritz's method. and Proposes a new deflection shape function.
Keywords
Lateral vibration of bar; Ritz method;
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  • Reference
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