Techno Press
Techno Press

Structural Engineering and Mechanics
  Volume 23, Number 1, May10 2006 , pages 1-13
DOI: https://doi.org/10.12989/sem.2006.23.1.001
 


A generalized algorithm for the study of
bilinear vibrations of cracked structures
Tzuo-Liang Luo, James Shih-Shyn Wu and Jui-Pin Hung

 
Abstract
    Structural cracks may cause variations in structural stiffness and thus produce bilinear vibrations to structures. This study examines the dynamic behavior of structures with breathing cracks. A generalized algorithm based on the finite element method and bilinear theory was developed to study the influence of a breathing crack on the vibration characteristic. All the formulae derived in the time domain were applied to estimate the period of the overall bilinear motion cycle, and the contact effect was considered in the calculations by introducing the penetration of the crack surface. Changes in the dynamic characteristics of cracked structures are investigated by assessing the variation of natural frequencies under different crack status in either the open or closed modes. Results in estimation with vibrational behavior variation are significant compared with the experimental results available in the literature as well as other numerical calculations.
 
Key Words
    breathing crack; cracked structure; finite element analysis.
 
Address
Tzuo-Liang Luo and James Shih-Shyn Wu;
Institute of Mechanical Engineering, Nat. Chung-Hsing University, 250, Kuo-Kuang Rd., Taichung, Taiwan 402, ROC
Jui-Pin Hung; Institute of Precision Machinery and Manufacturing Technology, National Chin-Yi Institute of Technology, 35, Lane. 215, Sec. 1, Chung-Shan Rd., Taiping, Taichung, Taiwan 411, ROC
 

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