Large amplitude free vibrations analysis of prismatic and non-prismatic different tapered cantilever beams

Authors : Chıtaranjan PANY

Pages : 370-376

View : 26 | Download : 28

Publication Date : 2023-08-31

Article Type : Research Paper

Abstract :This article presents large deflection data for prismatic insert ignore into journalissuearticles values(unvarying cross section across length); and non-prismatic insert ignore into journalissuearticles values(tapered, i.e. varying cross section across length); cantilever beams subjected to concentrated tip loads using the finite element method for different taper ratios. The approximate nonlinear solution is derived from the perspective of a polynomial function. The tapered beams that correlate to the nonprismatic cantilever beams have different widths, depths, and diameters. Using the aforementioned large displacement data that have been analysed, a very simple approach is used to evaluate the large amplitude first mode frequency for the cantilever beam with insert ignore into journalissuearticles values(nonprismatic); tapered and without insert ignore into journalissuearticles values(prismatic); tapered. The current approach can be used effectively to find accurate results with far less computer capacity as compared to other methods available in the literature. The difference between the current findings and the bibliographic data is shown. The major goal of this work is to contribute to the simple description of polynomial functions for large amplitude first mode free vibration frequency problems with and without tapered beams in terms load parameterinsert ignore into journalissuearticles values(????); versus tip slope insert ignore into journalissuearticles values(????);and tip amplitudeinsert ignore into journalissuearticles values(????/????);. Large amplitude first mode frequency insert ignore into journalissuearticles values(????); increases with tip slopeinsert ignore into journalissuearticles values(????);. This indicates that the prismatic and non-prismatic cantilever beams exhibit hardening type nonlinearity. At a particular tip slopeinsert ignore into journalissuearticles values(????);, the diameter taper shows higher frequency than other tapered beams and uniform beams. According to current studies, it can be restricted to a lower range of tip slopeinsert ignore into journalissuearticles values(????);or amplitudeinsert ignore into journalissuearticles values(????/????);.
Keywords : Büyük genlik, Üniforma prizmatik, Konik prizmatik olmayan, Konsol kiriş, Uç eğimi, Serbest titreşim