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Indian Journal of Engineering and Materials Sciences (IJEMS) >
IJEMS Vol.11 [2004] >
IJEMS Vol.11(2) [April 2004] >
| Title: | A simple method to evaluate the critical loads of cantilever columns with follower forces |
| Authors: | Raju, K Kanaka
Rao, G Venkateswara |
| Issue Date: | Apr-2004 |
| Publisher: | CSIR |
| IPC Code: | Int.Cl.7 B66C 23/18 |
| Abstract: | A simple method, based on two term
Galerkin method, is presented here to evaluate the critical loads of a uniform
cantilever column with follower forces. Three types of follower forces are
considered. If two terms are used in the Galerkin method, a quadratic equation
for the frequency is obtained and the critical loads are evaluated by making
the radical of the solution of the quadratic equation zero, avoiding a
frequency mapping with the applied follower force. When the radical is zero,
the value of the frequency obtained is the coalescence frequency. The accuracy
of results obtained from the present method is quite suitable for engineering
purposes. The accuracy can further be improved if suitable admissible
functions, which represent the first two modes of vibration accurately, are
chosen. |
| Page(s): | 143-146 |
| ISSN: | 0975-1017 (Online); 0971-4588 (Print) |
| Source: | IJEMS Vol.11(2) [April 2004]
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