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

摘要

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)