References
- G. R. Kifchhoff, Monatsberichte, Berin, 1897, p. 815
- D. Wrinch, Proc. Roy. Soc. London, 1922, p. 493
- W. Weaver, Jr, S. P. Timoshenko, D. H. Young, Vibration Problems in Engineering 5th ed., John Wiley & Sons, 1990, p. 427
Journal of Advanced Marine Engineering and Technology
- Volume 29 Issue 8
- /
- Pages.877-882
- /
- 2005
- /
- 2234-7925(pISSN)
- /
- 2234-8352(eISSN)
Vibration Analysis of Wedge Type Bar by Ritz Method
Ritz법을 이용한 쐐기형 봉의 진동 해석
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.