Acoustic radiation from a point excited infinite bilaminar plate
Presented in this thesis is a refined model for plate deformation which allows for new types of thickness and extensional displacements not currently feasible in the classical or Timoshenko-Mindlin plate theories. An infinite bilaminar plate is fabricated in such a way that the two plates, made of different, isotropic, homogeneous materials, are perfectly bonded. A new mathematical model of the vibration of an infinite bilaminar plate has been obtained by using energy methods. The displacement field is based on symmetric and anti-symmetric displacement functions in both the thickness stretch and the thickness shear of each layer. From this model, the Timoshenko-Mindlin thick plate theory and the Bernoulli-Euler classic plate theory for a single plate can be recovered as special limiting cases. For this model, six-branched frequency-wavenumber spectrums of the single and the bilaminar plates are computed. This allows the introduction of suitable correction coefficients to correct the resulting frequency spectra so that they correspond to those of the exact elasticity theory. In addition, the relationship between frequency and critical angle spectra has been examined. The acoustic pressure directivity of a point force excited plate has been obtained, and the influence of structural damping on the directivity function of the plate is investigated.
- Research Organization:
- Pennsylvania State Univ., University Park, PA (United States)
- OSTI ID:
- 7302971
- Resource Relation:
- Other Information: Thesis (Ph.D.)
- Country of Publication:
- United States
- Language:
- English
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