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 buckl ing problem and the natural vibration problem of the bending bar is re duced to finding zeros of a function, which is called the target funct ion T(omega) in this paper. The explicit forms of the target functions can be obtained for all possible boundary value problems. The functio ns depend on the numerical solution of the fundamental problems. The z eros of the target functions will be the required eigenvalues. Finally , several numerical examples are given to demonstrate the use of the s uggested method. (C) 1997 John Wiley & Sons, Ltd.