Free vibration analysis of horizontal spinning beams by finite difference methods

PDF(1381 KB)

Journal of Vibration and Shock ›› 2012, Vol. 31 ›› Issue (14) : 43-46.

论文

Free vibration analysis of horizontal spinning beams by finite difference methods

ZHU Youfeng ，REN Yongsheng

Author information +

History +

Abstract

Abstract: Dynamic derivative equations were built by Hamiltonian principle for a horizontal spinning beam. The cantilever beam was discretized by second-order central differences, and difference equations of free vibration were developed. A MATLAB Vibration Toolboxes program was introduced with damped vibration theory, and dimensionless natural frequencies were derived in different rotational speeds. Finite difference methods are proved effective by results comparison with references, and free vibration characteristics on uniform beams are analysed and optimized .Numerical analysis of free vibration are also made on free-free and clamped- clamped beams.

Key words

spinning beams / free vibration / finite difference methods / natural frequencies

Cite this article

EndNote

Ris (Procite)

Bibtex

Download Citations

ZHU Youfeng;REN Yongsheng . Free vibration analysis of horizontal spinning beams by finite difference methods[J]. Journal of Vibration and Shock, 2012, 31(14): 43-46