An Identification Method for the Elastic Characterization of Materials
A driving point dynamic load non destructive test can be used to determine a structure’s first modal stiffness and indirectly the material’s coefficient of elasticity. Such a dynamic test will be shown to be theoretically equivalent to a static load destructive test that directly determines the coefficient of elasticity. Assuming linear, elastic dynamic analysis is appropriate then knowing the first modal stiffness from experimental modal data and a numerical model of the structure with known geometric dimensions, an exact solution for the coefficient of elasticity can be determined when the frequency equations are available and depends on one elastic constant. The solutions for the coefficient of elasticity for uniform beams in axial deformation, torsion and bending as a function of the first modal stiffness will be given.
KeywordsMode Shape Static Response Dynamic Test Axial Deformation Destructive Test
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