참고문헌
- 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
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.