Accession Number : AD0746951

Title :   An Investigation of Vibrations of Laminated Plates with Microstructure.

Descriptive Note : Technical rept.,

Corporate Author : WATERVLIET ARSENAL N Y

Personal Author(s) : Thomas,Charles R.

Report Date : JUN 1972

Pagination or Media Count : 62

Abstract : Simple thickness frequencies for the C. T. Sun 'effective stiffness' theory for flexural and extensional vibrations of laminated plates are compared to exact simple thickness frequency results previously obtained from the 'effective stiffness' continuum theory and are found to differ by a factor of 12 sq pi. Following Mindlin, Sun's plate theory is rederived and modified with three velocity correction factors introduced through the kinetic energy to make the plate theory consistent with the continuum theory for simple thickness modes. The velocity corrected flexural equations are reduced for the case of a plate strip and frequency equations are derived for simply supported edges by the method of M. Levy, where solutions harmonic in plate width are assumed and the boundary conditions for simple supports are automatically satisfied. (Author, modified-PL)

Descriptors :   (*LAMINATES, VIBRATION), ELASTIC PROPERTIES, RESONANT FREQUENCY, KINETIC ENERGY, THICKNESS, MICROSTRUCTURE, NUMERICAL ANALYSIS

Subject Categories : Miscellaneous Materials
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE