Determination of the Dynamic Young’s Modulus and Poisson’s Ratio Based on Higher Frequencies of Beam Transverse Vibration

摘要

In this paper we suggest an experimental technique for the simultaneous determination of elastic constants (i.e.,Young’s modulus and Poisson’s ratio) based on measured higher natural frequencies of beam transverse vibration. The technique utilizes a universal relationship, derived in our prior research and proven valid for any boundary conditions imposed on a beam, as well as across all natural frequencies of beam transverse vibration. This provides an opportunity for the simultaneous calculation of Young’s modulus and Poisson’s ratio of a specimen by fitting the universal relationship to the experimentally derived higher natural frequencies of beam transverse vibration. The determination of the elastic constants for free-free and cantilever beams made from various materials and cross-sections is presented. Study results are compared to other published research and differences are comprehensively discussed.