Abstract
This paper presents an analytical solution for dynamic response of non-uniform cross sectional area beam neutral axis. Frequency equation due to a free vibration was obtained in the case of fixed-free boundary conditions with spring attached. Firstly, the coefficient matrices for a step beam with spring attached at the point of the step section and at the tip of the beam have been derived considering the boundary conditions. Next equating the determinant of the coefficient matrices to zero one obtains the dimensionless eigenfrequencies of this beam. Finally, the effects of various stiffness dimensionless parameters and various locations of the springs on the free vibration characteristics of this beam are studied.
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Elnagi, E.M., Huang, Q., Wang, J.L. (2010). The Effect of an Attached Spring on Eigenfrequency of Step Beam. In: Huang, G.Q., Mak, K.L., Maropoulos, P.G. (eds) Proceedings of the 6th CIRP-Sponsored International Conference on Digital Enterprise Technology. Advances in Intelligent and Soft Computing, vol 66. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10430-5_52
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DOI: https://doi.org/10.1007/978-3-642-10430-5_52
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-10429-9
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