Publisher : The Korean Society for Noise and Vibration Engineering
DOI : 10.5050/KSNVE.2016.26.2.217
Title & Authors
Analysis of Vibration for the Pre-twisted Beam Considering the Effect of Rotary Inertia Using the Transfer Matrix Mathod Lee, Jung Youn;
In this study, a transfer matrix method (TMM) for a twisted uniform beam considering the effect of rotary inertia is developed, and the differential equation and the displacements and forces are derived from Hamilton's principle. The particular transfer matrix is derived by applying the distributed mass and transcendental function while using a local coordinate system. In addition, the results obtained from this method are independent for a number of subdivided elements, and this method can determine the exact solutions for the free vibration characteristics of a twisted uniform Rayleigh beam. To validate the accuracy of the proposed TMM, the computed results are compared with those reported in the existing literature, and the comparison results indicate notably good agreement. In addition, the method is used to investigate the effects of rotary inertia for a twisted beam.
Transfer Matrix Method;Coupled Bending-bending Vibration;A Twisted Rayleigh Beam;Hamilton's Principle;Rotary Inertia;
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