The natural frequencies of masonry beams

The present paper aims at analytically evaluating the natural frequencies of cracked slender masonry elements. problem is dealt with in framework linear perturbation, and small oscillations structure are studied under loaded conditions, after equilibrium for permanent loads has been achieved. A beam element made masonry-like material considered, some explicit expressions beam's fundamental frequency as a function external amplitude imposed deformations derived. analytical results validated via finite-element analysis.