Accession Number : AD0771799

Title :   Inverse Eigenvalue Method of Mechanical Admittance Analysis.

Descriptive Note : Technical note,

Corporate Author : MASSACHUSETTS INST OF TECH LEXINGTON LINCOLN LAB

Personal Author(s) : Bagley,Ronald L.

Report Date : 05 DEC 1973

Pagination or Media Count : 55

Abstract : Eigenvalues, *Stiffness methods, Matrix methods, Structural analysisThe inverse eigenvalue method of mechanical admittance analysis is a way to calculate a structure's mass and stiffness matrices from measured mechanical admittances. If the structure is modeled as having N degrees of freedom, 4(N sup 2) + 2N quantities must be measured to calculate the 2(N sup 2) elements of the mass and stiffness. Mechanical admittances are measured on a beam structure, and from the experimental data, mass and stiffness matrices are calculated for the beam. The experimentally generated mass and stiffness matrices are compared to the mass and stiffness matrices of a cantilever beam. It is also shown that the format of the experimental data enables efficient use of the iterative method of Stodola to calculate the structure's mode shapes and resonant frequencies. (Author)

Descriptors :   *CANTILEVER BEAMS, *MATRICES(MATHEMATICS), EIGENVECTORS, STRUCTURAL PROPERTIES, LOADS(FORCES), EQUATIONS OF MOTION, RESONANT FREQUENCY, ADMITTANCE

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE