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Deterrmining material properties in anisotropic plates using Rayleigh's method
Author(s) -
Fällström K.E.
Publication year - 1991
Publication title -
polymer composites
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.577
H-Index - 82
eISSN - 1548-0569
pISSN - 0272-8397
DOI - 10.1002/pc.750120503
Subject(s) - materials science , anisotropy , composite material , vibration , bending , poisson's ratio , material properties , boundary value problem , rayleigh scattering , shear modulus , normal mode , optics , poisson distribution , physics , acoustics , mathematical analysis , mathematics , statistics
Material parameters of anisotropic plates are determined. Rectangular anisotropic plates are tuned by changing the quotient between the length of the sides, so that the second and third modes of vibration, for free‐free boundary conditions, degenerate into the well‐known cross‐shaped and ring‐shaped modes, respectively. The first three modes of vibrations for these plates are determined by optical methods. The propagation of bending waves, generated by the impact of a ballistic pendulum on the plates, has also been optically studied. It is found that bending waves generated in the middle of the tuned plates will reach the boundaries of the plates simultaneously. This gives a relationship between main material parameters. Using this relation and Rayleigh's method for the first three modes of vibrations, the main material parameters for the plates, that is, the effective two Young's moduli, the shear modulus, and the Poisson's ratio, are determined.