Accession Number : AD0629372

Title :   DIGITAL COMPUTER METHODS IN THE SOLUTION OF BOUNDARY VALUE PROBLEMS FOR THE NATURAL FREQUENCIES OF LAMINATED, ELASTIC, VISCOELASTIC BEAMS HAVING UNSYMETRICAL MOUNTINGS,

Corporate Author : WAYNE STATE UNIV DETROIT MICH COLL OF ENGINEERING

Personal Author(s) : Koenig,Milton G.

Report Date : 05 MAY 1965

Pagination or Media Count : 63

Abstract : An analytical study was performed to determine methods of solution for boundary value problems dealing with the natural frequencies and the system loss factor of composite beams having different types of attachment at each end. The composite beam is a laminate composed of a thin layer of a viscoelastic material which is sandwiched between two layers of an elastic material. Damping is provided by the visco-elastic shearing. The material shear modulus is assumed to be a complex number. The results of this study is a method for determining the matrix polynomials which provide multi-valued solutions. In addition a Fortran program was developed in order to determine the natural frequencies and system loss factors for cases where the beam is mounted with a fixed simple support or with a cantilever support. The program was not successful in handling the damped cases and only partially successful for the undamped cases. (Author)

Descriptors :   (*BEAMS(STRUCTURAL), FREQUENCY), (*BOUNDARY VALUE PROBLEMS, BEAMS(STRUCTURAL)), (*COMPOSITE MATERIALS, BEAMS(STRUCTURAL)), LAMINATES, VISCOELASTICITY, SANDWICH CONSTRUCTION, DAMPING, SUPPORTS, DIGITAL COMPUTERS, COMPUTER PROGRAMMING

Subject Categories : Laminates and Composite Materials
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE