Accession Number : ADA119643

Title :   A Receptance Formula for General Second Degree Square Lambda Matrices.

Descriptive Note : Technical rept.,

Corporate Author : VIRGINIA UNIV CHARLOTTESVILLE DEPT OF MECHANICAL AND AEROSPACE ENGINEERING

Personal Author(s) : Palazzolo,Alan B ; Wang,Bo Ping ; Pilkey,W D

PDF Url : ADA119643

Report Date : Jan 1982

Pagination or Media Count : 33

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)

Descriptors :   *Algorithms, *Computations, *Eigenvalues, Vibration, Structural analysis, Modification, Dynamic response, Degrees of freedom, Matrices(Mathematics), Accuracy, Harmonics, Eigenvectors, Solutions(General), Structural properties, Damage assessment

Subject Categories : Theoretical Mathematics
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE