TY - JOUR
T1 - Influence of Gravity and Taper on the Vibration of a Standing Column
AU - Wang , C. Y.
JO - Advances in Applied Mathematics and Mechanics
VL - 4
SP - 483
EP - 495
PY - 2012
DA - 2012/04
SN - 4
DO - http://doi.org/10.4208/aamm.10-m11175
UR - https://global-sci.org/intro/article_detail/aamm/132.html
KW - Vibration, column, taper, weight.
AB - <p style="text-align: justify;">The stability and natural vibration of a standing tapered vertical
column under its own weight are studied. Exact stability criteria are
found for the pointy column and numerical stability boundaries are
determined for the blunt tipped column. For vibrations we use an
accurate, efficient initial value numerical method for the first
three frequencies. Four kinds of columns with linear taper are
considered. Both the taper and the cross section shape of the
column have large influences on the vibration frequencies. It is
found that gravity decreases the frequency while the degree of
taper may increase or decrease frequency. Vibrations may occur
in two different planes.</p>