Abstract
We propose a method which facilitates the calculation of natural frequencies of bending vibration of a straight rod subjected to axial compression and supported at an intermediate point and the estimation of the axial force. This method is an extension of Rayleigh's method. First, the effect of the position of the support on the mode shapes is studied using the results of a rigorous analysis. Deflections of the rod assumed in the calculation of this method are modified principal-mode shapes of the bending vibration of the rod free from axial compression and intermediate support. Comparison between calculation results and experimental ones shows that this method yields a good approximation for 1st and 2nd natural frequencies irrespective of the position of the support and for up to the 3rd natural frequency if the position of the support is limited to the central part of the rod, which covers about three-fifths of the total length.
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