TY  - JOUR
PB  - Korean Society of Mechanical Engineers
SN  - 1738494X
EP  - 27
AV  - none
N1  - cited By 3
SP  - 21
TI  - Stress and damping of wide cantilever beams under free vibration
Y1  - 2019///
A1  - Foong, F.M.
A1  - Ket, T.C.
A1  - Lee, O.B.
A1  - Aziz, A.R.A.
JF  - Journal of Mechanical Science and Technology
UR  - https://www.scopus.com/inward/record.uri?eid=2-s2.0-85060133322&doi=10.1007%2fs12206-018-1203-8&partnerID=40&md5=612398cc3aa76ff6c2e460eeca0c2d3a
VL  - 33
IS  - 1
N2  - Research has shown that the damping of a vibrating structure is highly dependent on its stress function. In this study, the bending stress and damping of wide cantilever beams under free vibration were analyzed using the classical plate and beam theory. The damping stress equation for cantilever beams under free vibration was derived based on the empirical function of unit dissipating energy, whereas the plate bending equation was derived using the double finite integral transform method. The bending stress and damping ratio results from the beam and the plate theory were compared with simulation results from finite element analysis (FEA) for different length-to-width ratios. Results show that the plate theory displayed a good agreement with FEA results in terms of estimated value and trending curve shape when a significantly large number of terms were used. Using a small number of terms resulted in large errors at high length-to-width ratios, but provided sufficient estimates when the length-to-width ratio dropped below four. It was found that the beam theory was only valid for beams with very high length-to-width ratios or square plates. Beyond this ratio, the beam theory recorded a higher error estimate than the plate theory. Overall, the most accurate stress and damping estimations come from the use of plate theory with a very high number of terms. © 2019, The Korean Society of Mechanical Engineers and Springer-Verlag GmbH Germany, part of Springer Nature.
ID  - scholars12251
KW  - Damping; Integral equations; Nanocantilevers; Plates (structural components); Stresses; Vibration analysis
KW  -  Beam theories; Damping estimations; Empirical functions; Finite integral transform; Length-to-width ratio; Plate theories; Stress functions; Vibrating structures
KW  -  Cantilever beams
ER  -