Inverse Eigenvalue Method of Mechanical Admittance Analysis.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 05, 1973
- Accession Number
- AD0771799
Entities
People
- Ronald L. Bagley
Organizations
- Massachusetts Institute of Technology