Transverse shear modulus identification by an inverse method using measured flexural resonance frequencies from beams

Abstract

Many papers have already been presented about identification of 2D in plane elastic engineering constants E1, E2, v12 and G12 by inverse methods. Most of the described methods are based on measured resonance frequencies on plate specimens. Less attention has been paid to the identification of transverse shear moduli. Especially, validation of the obtained results and error bound estimations are often lacking. This paper presents an inverse method for the identification of the transverse moduli of test beams by measured flexural resonance frequencies. The procedure is first illustrated with numerically generated test data and next applied on experimentally measured results. The sensitivity of the flexural resonance frequencies for variations of the shear modulus is discussed as well as an estimation of the uncertainty intervals on the obtained moduli. The results are validated by using the obtained shear moduli for the prediction of torsional resonance frequencies.