Accession Number : AD0786767

Title :   Application of Trilinear Coordinates to Vibrating Triangular Plates with Experimental Verification,

Corporate Author : VIRGINIA POLYTECHNIC INST AND STATE UNIV BLACKSBURG DEPT OF ENGINEERING SCIENCE AND MECHANICS

Personal Author(s) : Williams,R. ; Yeow,Y. T. ; Brinson,H. F.

Report Date : JUL 1974

Pagination or Media Count : 36

Abstract : A general description and a historical discussion of trilinear coordinates is given. These coordinates are then used to develop the solution of a simple supported freely vibrating equilaterial triangular plate. The solution gives fundamental frequencies, mode shapes, nodal lines and a general expression for displacements. An experimental program is described to validate the analytical solution. Nodal lines, mode shapes and displacements are determined by holographic interferometry and compared to theoretical results. Excellent agreement is obtained. A second experimental technique, a fiber optic device, is used to determine displacements with the results being compared to the displacements obtained by both theoretical and holographic analysis. (Author)

Descriptors :   *PLATES, *VIBRATION, *ANALYTIC GEOMETRY, HOLOGRAPHY, BOUNDARY VALUE PROBLEMS, PARTIAL DIFFERENTIAL EQUATIONS, NUMERICAL ANALYSIS

Subject Categories : Theoretical Mathematics
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE