An easy-to-implement method to measure relevant elastic and damping properties of the constituents of a sandwich structure, possibly with a heterogeneous core, is proposed. The method makes use of a one-point dynamical measurement on a thick plate. The hysteretic model for each (possibly orthotropic) constituent is written generically as “E(1 + jη)” for all mechanical parameters. The estimation...

We are interested in (approximate) eigenvalue inclusion regions for matrix pencils (A,B), in particular of large dimension, based on certain fields of values. We show how the usual field of values may be efficiently approximated for large Hermitian positive definite B, but also point out limitations of this set. We introduce four field of values based inclusion regions, which may effectively be...

This paper presents a study on nonlinear asymmetric vibrations in shallow spherical caps under pressure loading. The Novozhilov’s shell theory is used for modeling the structural strains. A reduced-order model developed through Rayleigh–Ritz method and Lagrange equations. equations of motion are numerically integrated using an implicit solver. bifurcation scenario addressed by varying external ...

this study investigates natural frequency analysis of an fg composite rectangular plate partially contacting with a bounded fluid. the material properties are assumed to be varying continuously through the thickness direction according to a simple power law distribution in terms of volume fraction of material constituents. wet dynamic transverse displacements of the plate are approximated by a ...

0. Summary and Survey. This paper is concerned with obtaining strict upper and lower bounds on the eigenvalues of a particular nontrivial convex membrane, the half-L, which is fixed or free at the boundary. The upper bound is obtained from a matrix eigenvalue calculation; the matrix problem may be regarded as a difference scheme although it is derived using piecewise linear functions in a Rayle...