Determination of Elastic Properties by Resonant Technique: A Sensitivity Analysis

The in-plane elastic properties of materials can be determined using an experimental-numerical procedure based on the resonant frequencies of thin beams and plates. The objective of this paper is to study the accuracy of the material constants obtained with this technique. The procedure is presented and the parameters affecting its accuracy are identified. Specimens of epoxy reinforced with carbon fibers and 6082-T6 aluminum alloy were produced and experimental work was developed to obtain resonant frequencies in free-free boundary conditions. A numerical procedure based on FEM was developed replicating the experimental procedure and was used for a sensitivity analysis on the numerical and physical parameters. A great sensitivity relative to geometry was found, which emphasizes the need for ideally shaped specimens and accurate measurements. The influence of elastic properties on resonant frequencies is comparatively lower and varies quite considerably with geometry. The accuracy of experimental frequencies and specific mass was found to have a great impact on material constants.

[1]  T. Huang,et al.  The Effect of Rotatory Inertia and of Shear Deformation on the Frequency and Normal Mode Equations of Uniform Beams With Simple End Conditions , 1961 .

[2]  F. A. Willis,et al.  Resonant ultrasound spectroscopy , 1997 .

[3]  D. Tortorelli,et al.  Design sensitivity analysis: Overview and review , 1994 .

[4]  M. Warner,et al.  Determination of orthotropic bone elastic constants using FEA and modal analysis. , 2002, Journal of biomechanics.

[5]  R. H. Volin Book Reviews : SHOCK AND VIBRATION HANDBOOK (2nd Edition) C.M. Harris and C.E, Crede - Editors McGraw-Hill Book Company, New York (1976) , 1978 .

[6]  Emmanuel Ayorinde,et al.  Design of test specimens for the determination of elastic through-thickness shear properties of thick composites from measured modal vibration frequencies , 2001 .

[7]  E. Lara‐Curzio,et al.  Comparison of different experimental techniques for determination of elastic properties of solids , 2004 .

[8]  L. Manocha,et al.  Resonant frequency study of tensile and shear elasticity moduli of carbon fibre reinforced composites (CFRC) , 2000 .

[9]  S. Timoshenko,et al.  LXVI. On the correction for shear of the differential equation for transverse vibrations of prismatic bars , 1921 .

[10]  S. Timoshenko,et al.  X. On the transverse vibrations of bars of uniform cross-section , 1922 .

[11]  Ward Heylen,et al.  Determination of the in-plane elastic properties of the different layers of laminated plates by means of vibration testing and model updating , 2004 .

[12]  Xu Han,et al.  DETERMINATION OF ELASTIC CONSTANTS OF ANISOTROPIC LAMINATED PLATES USING ELASTIC WAVES AND A PROGRESSIVE NEURAL NETWORK , 2002 .

[13]  S. Hwang,et al.  Determination of elastic constants of materials by vibration testing , 2000 .

[14]  Ward Heylen,et al.  Mixed numerical-experimental identification of elastic properties of orthotropic metal plates , 2003 .

[15]  G W Marshall,et al.  Resonant ultrasound spectroscopy measurements of the elastic constants of human dentin. , 2004, Journal of biomechanics.

[16]  R. Weiss,et al.  Extension of the resonant beam technique to highly anisotropic materials , 2005 .

[17]  Ronald F. Gibson,et al.  Determination of elastic constants of orthotropic plates by a modal analysis/Rayleigh-Ritz technique , 1988 .

[18]  Y. Rémond,et al.  Measurement of local elastic properties of injection moulded polymer structures by analysis of flexural resonant frequencies. Applications in POM, PA66, filled PA 66 , 2004 .

[19]  R. Huiskes,et al.  The mechanical consequences of mineralization in embryonic bone. , 2004, Bone.

[20]  A. Fok,et al.  Characterization of Material Properties Using an Inverse Method , 2006 .