Evaluation of natural vibration frequency and buckling loading of bending bar by searching zeros of a target function.

In this paper, the problem for evaluating the eigenvalues in the buckling problem and the natural vibration problem of the bending bar is reduced to finding zeros of a function, which is called the target function T(ω) in this paper. The explicit forms of the target functions can be obtained for all possible boundary value problems. The functions depend on the numerical solution of the fundamental problems. The zeros of the target functions will be the required eigenvalues. Finally, several numerical examples are given to demonstrate the use of the suggested method. © 1997 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR]