Paper Title:
Curvature Mode Characteristics of the Simple Beam with a Local Damaged Crack
  Abstract

General expressions of crack perturbations are given with perturbation method. With the delta function to express the crack position at the simple beam, the expressions of cross-section rotary inertia and mass per unit length of the whole beam are founded, and then the transverse free vibration equation of the simple beam with a damaged crack is established. The first and second order perturbations are considered as the linear combinations of corresponding mode shapes of intact state, according to the boundary conditions, and theoretical solutions about eigenvalues and mode shapes of the damage state are finally obtained. One simple beam is taken as a numerical example to calculate the modal parameters; the effects of first and second order perturbations on the results are compared. It is believed that the approach proposed in this paper could provide the necessary theoretical background for damage identification in simple beam.

  Info
Periodical
Advanced Materials Research (Volumes 139-141)
Edited by
Liangchi Zhang, Chunliang Zhang and Tielin Shi
Pages
2574-2577
DOI
10.4028/www.scientific.net/AMR.139-141.2574
Citation
Y. Tie, P. Xu, J. Y. Chen, "Curvature Mode Characteristics of the Simple Beam with a Local Damaged Crack", Advanced Materials Research, Vols. 139-141, pp. 2574-2577, 2010
Online since
October 2010
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Price
$32.00
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