ON THE EIGENFREQUENCIES OF A CANTILEVERED BEAM WITH A TIP MASS AND IN-SPAN SUPPORT

被引:25
作者
GURGOZE, M
OZGUR, K
EROL, H
机构
[1] Faculty of Mechanical Engineering, Istanbul Technical Universtiy, 80191 Gumussuyu, Istanbul
关键词
D O I
10.1016/0045-7949(94)00541-A
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
The present study addresses essentially to the investigation of the bending eigenfrequencies of a cantilevered Bernoulli-Euler beam with a tip mass which has an in-span support. First, an exact frequency equation is established via a boundary value formulation and then an approximate frequency equation is derived using the Lagrange's multipliers method. For a design engineer who is interested in a quick but accurate determination of the fundamental eigenfrequency of the system, an approximate formula is also established by using the Dunkerley's procedure. Finally, a formula for the sensitivity of the eigenfrequencies with respect to small changes in the location of the in-span support is derived. Numerical results on a digital computer justify the usefulness of the obtained analytical results.
引用
收藏
页码:85 / 92
页数:8
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