A receptance formula for general seconddegree square lambda matrices Academic Article uri icon


  • A computational algorithm utilizing the free vibration modes of a structure is presented for calculating receptances. The usual eigensystem computed for large structural models is incomplete; hence the receptances are approximate. The formulae 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 RayleighRitz subspace type methods. Structural models represented by nonsymmetric mass, damping and stiffness matrices, which occur frequently in rotating structures, may be treated using the receptance formulae presented. The receptance matrix derived is applicable to general, seconddegree, square lambda matrices. This generalizes the receptance matrix commonly associated with matrix pencils. Copyright 1982 John Wiley & Sons, Ltd

published proceedings

  • International Journal for Numerical Methods in Engineering

author list (cited authors)

  • Palazzolo, A. B., Wang, B. P., & Pilkey, W. D.

citation count

  • 11

complete list of authors

  • Palazzolo, Alan B||Wang, Bo Ping||Pilkey, Walter D

publication date

  • June 1982