volume 47, issue 4, P251-260 1967
DOI: 10.1002/zamm.19670470406
View full text
|
|
Share

Abstract: Abstract The authors use a recently developed procedure for lower bounds and the Rayleigh ‐ Ritz procedure for upper bounds to estimate frequencies of free vibration of thin rectangular cantilever plates. The applicability of the lower bound procedure is demonstrated, and calculations are given for a symmetry class of normal modes. The lower bounds seem to be the first rigorously obtained for this problem. The upper bounds are improvements over previously published rigorous results.