Analytical Solutions for The Torsional Vibrations of Variable Cross-Section Rods

M. RAFİEE; S. Jafari MEHRABADİ; N. RASEKH-SALEH

Makale detayları

Analytical Solutions for The Torsional Vibrations of Variable Cross-Section Rods

Yazarlar:

M. RAFİEE | S. Jafari MEHRABADİ | N. RASEKH-SALEH

Yayıncı:

Akdeniz University

Dergi:

International Journal of Engineering and Applied Sciences 2010 Vol.2 Issue 4, pp.64-71

Belge Tipi:

Makale

Yayın Tarihi:

11/2010

Belge Dili:

Türkçe

Document ID (Org No.):

2000459895

Sıklık:

Üç Aylık

eISSN:

1309-0267

Özet:

 

The objective of this paper is to present exact analytical solutions for the torsional vibration of rods with nonuniform cross-section. Using appropriate transformations the equation of motion of torsional vibration of a rod with varying cross-section is reduced to analytically solvable standard differential equations whose form depends upon the specific area variation. Solutions are obtained for a rod with for a polynomial area variation. The solutions are obtained in terms of special functions such as Bessel and Neumann functions. Simple formulas to predict the natural frequencies of non-uniform rods with various end conditions are presented. The natural frequencies of variable cross-section rods for these end conditions are calculated and their dependence on taper is discussed.

Makale detayları

Analytical Solutions for The Torsional Vibrations of Variable Cross-Section Rods

Yazarlar: M. RAFİEE | S. Jafari MEHRABADİ | N. RASEKH-SALEH

Yayıncı: Akdeniz University

Dergi: International Journal of Engineering and Applied Sciences 2010 Vol.2 Issue 4, pp.64-71

Belge Tipi: Makale

Yayın Tarihi: 11/2010

Belge Dili: Türkçe

Document ID (Org No.): 2000459895

Sıklık: Üç Aylık

eISSN: 1309-0267

Sayı

Yazarlar:

M. RAFİEE | S. Jafari MEHRABADİ | N. RASEKH-SALEH

Yayıncı:

Akdeniz University

Dergi:

International Journal of Engineering and Applied Sciences 2010 Vol.2 Issue 4, pp.64-71

Belge Tipi:

Makale

Yayın Tarihi:

11/2010

Belge Dili:

Türkçe

Document ID (Org No.):

2000459895

Sıklık:

Üç Aylık

eISSN:

1309-0267