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A Study Of Non-Linear Vibrational Behavior Of Cracked Structures By The Finite Element Method, Tzuo-Liang Luo, James Shih-Shyn Wu, Jui-Pin Hung

Journal of Marine Science and Technology

Numerical and experimental investigations provide a link to the location and size of cracks caused by natural vibrations. Cracks may generally result in the variation of structural stiffness and hence enable structures to vibrate nonlinearly. In order to understand the vibrational behavior of crack structures accurately, the study proposes a general and efficient algorithm based on the finite element assumptions and the bilinear vibrational theory. All formulae are derived from the time domain properly and may apply to the overall non-linear motion cycle completely. The contact effect is also considered by introducing the degree of penetration on the cracked surface. …