• Randive V. K.
• Admuthe A. B.

In general for calculation of natural frequencies discrete system model is used. In case of cantilever beam with tip mass, transverse stiffness of the beam and tip mass is used to calculate natural frequency of the beam. This method may generate wrong value of 1st natural frequency. In addition to this it is not possible calculate higher natural frequencies of the beam with 1 DOF model. In this paper natural frequencies of the cantilever beam with tip mass are calculated using Euler-Bernoulli beam theory. Mathematical model to calculate natural frequencies is given. 1st natural frequencies of the beam for various mass ratios are obtained using ANSYS modal analysis module. In addition to this natural frequencies of the beam for various mass ratios considering system as 1 DOF are calculated. Results obtained from all three methods are compared. For lower mass ratios 1 DOF model shows higher values of natural frequencies than continuous system. At higher values of mass ratio natural frequencies obtained from all the three models shows less variation.

Cantilever beam with tip mass, Natural frequencies, Euler-Bernoulli beam, 1 DOF.

"Natural Frequencies of The Hollow Cantilever Beam With Tip Mass.", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.7, Issue 8, page no.1176-1186, August-2020, Available :http://www.jetir.org/papers/JETIR2008148.pdf

"Natural Frequencies of The Hollow Cantilever Beam With Tip Mass.", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.7, Issue 8, page no. pp1176-1186, August-2020, Available at : http://www.jetir.org/papers/JETIR2008148.pdf