Abstract
The purpose of this study is to investigate how the axial load in beams influences the relationships between the natural frequencies and the effects of shear deformation and rotary inertia. Four beam theories are considered in this study. Finite element equations of motion for the beams under a tensile load are formulated to allow the application of various axial loads as well as to impose any type of boundary conditions. The results demonstrate that the stiffening effect by a tensile load may not reduce the frequency error of the Euler beam theory, unlike the results reported in other studies.
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Recommended by Associate Editor Jun-Sik Kim
Kyo-Nam Koo received his B.S. and M.S. degrees in Aerospace Engineering from Seoul National University, Korea, in 1987 and 1989, respectively. He then received his Ph.D. from Korea Advanced Institute of Science and Technology in 1994. Dr. Koo had worked with Korea Aerospace Research Institute for seven years after his education. He is currently a Professor at the Department of Aerospace Engineering at University of Ulsan in Korea since 2001. His research interests include composite materials, structural dynamics, finite element analysis, and aeroelasticity.
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Koo, KN. Effects of shear deformation and rotary inertia on the natural frequencies of axially loaded beams. J Mech Sci Technol 28, 849–857 (2014). https://doi.org/10.1007/s12206-013-1113-8
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DOI: https://doi.org/10.1007/s12206-013-1113-8