A Receptance Formula for General Second Degree Square Lambda Matrices.
Abstract
A computational algorithm utilizing the free vibration modes of a structure is presented for calculating receptances. The usual eigen-system computed for large structural models is incomplete; hence the receptances are approximate. The formulas developed here increased receptance accuracy compared to classical spectral representations. Receptances are used extensively in eigensolution reanalysis, design and synthesis and also for forced harmonic response studies. In these areas receptance approaches offer a popular alternative to Rayleigh Ritz subspace type methods. Structural models represented by non-symmetric mass, damping and stiffness matrices, which occur frequently in rotating structures, may be treated using the receptance formulas presented. The receptance matrix derived is applicable to general, 2nd degree, square lambda matrices. This generalizes the receptance matrix commonly associated with matrix pencils. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1982
- Accession Number
- ADA119643
Entities
People
- Alan B. Palazzolo
- Bo Ping Wang
- W. D. Pilkey
Organizations
- University of Virginia