Paper Title:
Calculation of the Natural Frequencies of Transverse Vibration of Complex Beams Using the Differential-Matrix Equations
  Abstract

The generalized differential-matrix equations of transverse vibration of the beams were set up and they were solved by means of Cauchy sequence iterative method. Then according to the boundary conditions at two ends of the beams the natural frequencies of the transverse vibration of the different beams including the complex beams of non-uniform section and composite beams under different boundary conditions were figured out. The form of the differential-matrix is simple. The calculation of the sequence iterations can be accomplished by simple computer program. Using the method in this paper, the amount of work of calculation is reduced greatly and the results are accurate compared with the approximate method in which a beam of non-uniform section is replaced by many small segments of equal cross-section.

  Info
Periodical
Advanced Materials Research (Volumes 243-249)
Edited by
Chaohe Chen, Yong Huang and Guangfan Li
Pages
284-289
DOI
10.4028/www.scientific.net/AMR.243-249.284
Citation
Y. Zhang, "Calculation of the Natural Frequencies of Transverse Vibration of Complex Beams Using the Differential-Matrix Equations", Advanced Materials Research, Vols. 243-249, pp. 284-289, 2011
Online since
May 2011
Authors
Export
Price
$32.00
Share

In order to see related information, you need to Login.

In order to see related information, you need to Login.

Authors: Wen Feng Tan
Abstract:By using of closed-form solution for predicting fatigue crack initiation life of a beam subjected to the transverse bending load in large...
1469
Authors: Jing Yan, Ya Wu Zeng, Rui Gao
Abstract:For the research of beam’s deformation, material mechanics uses equation of small deflection curve which neglects 1st...
6144
Authors: Li Peng, Ying Wang
Chapter 11: Computational Mechanics and Mathematical Modeling
Abstract:This paper investigates free transverse vibrations of finite Euler–Bernoulli beams resting on viscoelastic Pasternak foundations. The...
1624