A cantilever beam is subjected to both lateral force and compression under gravity. By taking into account the potential energy variation of the system, we develop a theoretical result that greatly simplifies the bending vibration frequency calculation in agreement with the experiments.
Effect of Potential Energy Variation on the Natural Frequency of an Euler–Bernoulli Cantilever Beam Under Lateral Force and Compression
Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received January 8, 2017; final manuscript received February 24, 2017; published online March 20, 2017. Assoc. Editor: Nick Aravas.
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Béri, B., Stépán, G., and Hogan, S. J. (March 20, 2017). "Effect of Potential Energy Variation on the Natural Frequency of an Euler–Bernoulli Cantilever Beam Under Lateral Force and Compression." ASME. J. Appl. Mech. May 2017; 84(5): 051002. https://doi.org/10.1115/1.4036094
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