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Free vibration and lateral buckling of a cantilever slender beam with an edge crack: Experimental and numerical studies

✍ Scribed by Celalettin Karaagac; Hasan Öztürk; Mustafa Sabuncu


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
436 KB
Volume
326
Category
Article
ISSN
0022-460X

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✦ Synopsis


The effects of crack ratios and positions on the fundamental frequencies and buckling loads of slender cantilever Euler beams with a single-edge crack are investigated both experimentally and numerically using the finite element method, based on energy approach. The governing matrix equations are derived from the standard and cracked beam elements combined with the local flexibility concept. The experiments are conducted using specimens having edge cracks of different depths at different positions to validate the numerical results obtained. The numerical results are shown to be in good agreement with the experimental results for the considered crack ratios.


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FREE VIBRATION ANALYSIS OF A CANTILEVER
✍ J.-S. Wu; H.-M. Chou 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 268 KB

The natural frequencies and the corresponding mode shapes of a uniform cantilever beam carrying ''any number of'' elastically mounted point masses are determined by means of the analytical-and-numerical-combined method (ANCM). One of the key points for the present method is to replace each spring-ma