General theory for quantative evaluation of three - dimentional vibrations from time-average holographic interferograms

Abstract

A procedure for calculating the amplitudes of the normal and tangential components of the displacement vector of three-dimensional vibrations of any point on the surface of mechanical wave system is proposed on the basis of experimental holographic interfrometry data and the theory of vibrations of mechanical systems The problem of determination the amplitude - frequency response characteristics of a vibrating surface, which vibrates in three dimensions in the majority of cases, is encountered in the analysis of vibrations of mechanical system. The development of methods for calculating the characteristics of three - dimensional (3D) vibrations contributes to the solution of vital problems in the investigation, design, testing, and diagnostics of systems. In the present paper described a method calculating the amplitudes of the normal and tangential components of the displacement vector of 3D vibrations of the surface of deformable elements on the basis of experimental holographic-interferometry data and the theory of vibrations of mechanical systems. In contrast with previous publication on this topic, the proposed method permits a severalfold reduction in the quantity of input data for analysis of vibrations from holographic interferograms.