A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf
.
Tapered Beam Axial Vibration Frequency: Linear Cross-area Variation Case
2014
APCBEE Procedia
The expression describing a cross-area linear variation for a tapered beam vibrating axially is considered. It is utilized to formulate the first axial vibration mode shape. The later, results from the normalization of the displacement function obtained by solving the exact solution of the second order differential equation with none constant coefficients. This function is governing the non uniform bar element equilibrium. After this first step, the well known Rayleigh quotient is used for
doi:10.1016/j.apcbee.2014.01.057
fatcat:6y7ymz5525fypbrtyizsyqvbqm